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350,350,350,350,350,350,350,350,350,350,350,350,350,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
382,382,382,382,382,382,382,382,382,382,382,382,398,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,973,974,974,974,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,596,597,596,596,597,596,597,10,10,10,10,10,10,10,10,973,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,597,596,597,597,596,597,596,10,10,10,10,10,10,10,10,10,10,973,974,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,597,596,596,597,596,596,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,973,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,596,597,597,596,597,597,596,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,127,128,10,365,10,367,10,10,10,10,10,609,610,609,609,610,609,610,10,10,10,10,10,10,10,597,596,597,596,597,597,596,597,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,127,143,144,10,365,10,367,10,125,10,10,10,674,723,674,626,674,721,674,10,10,10,10,10,10,10,596,596,597,596,597,596,597,596,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,143,159,144,10,365,10,367,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,596,597,597,596,597,596,597,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,159,159,160,161,365,10,367,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,597,596,596,596,597,597,596,10,10,10,10,973,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,159,175,176,10,365,10,367,156,157,10,10,10,10,10,10,10,10,10,127,128,142,45,10,10,10,10,597,596,597,596,596,597,596,597,10,10,10,10,10,10,10,973,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,175,10,10,10,365,10,367,172,173,125,10,17,10,10,10,10,10,127,143,144,158,61,10,10,10,10,596,597,597,597,596,596,597,597,10,10,10,359,360,361,10,10,10,973,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,141,125,10,10,10,127,128,142,143,159,144,158,61,10,10,10,10,596,597,596,597,597,596,597,596,10,10,374,375,376,10,10,325,10,10,10,10,973,974,974,974,974,974,974,974,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,157,141,142,45,142,143,144,158,159,159,160,174,77,78,10,10,10,609,610,609,609,610,609,610,609,10,10,390,391,392,10,10,402,403,404,403,404,403,404,403,404,405,394,395,396,10,10,973,974,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,156,157,157,158,61,158,159,144,158,159,175,176,10,10,10,10,10,10,626,674,721,674,674,674,722,674,10,10,406,407,408,10,10,418,419,420,436,420,420,420,419,420,421,410,411,412,10,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
350,350,350,351,10,10,10,10,10,10,10,10,365,10,367,10,172,173,157,158,61,158,159,160,174,175,10,10,10,19,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,434,420,436,435,436,436,436,435,436,437,410,411,412,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,367,10,10,10,10,10,10,10,10,365,10,413,351,10,10,173,174,77,174,175,176,10,10,10,10,10,10,10,10,10,10,491,10,10,10,10,10,10,10,10,10,10,10,10,10,402,419,436,436,436,419,436,420,451,452,453,410,411,412,10,16,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
382,398,10,367,10,10,10,10,10,10,10,10,365,10,10,413,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,491,10,10,10,10,10,10,10,10,10,10,10,10,10,450,452,451,452,451,451,452,453,18,10,10,410,411,412,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,365,10,367,10,10,10,10,10,10,10,10,381,398,10,10,413,350,350,350,350,350,350,350,350,350,350,350,351,394,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,446,411,445,395,395,395,395,395,395,396,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,365,10,367,10,10,10,10,10,10,10,10,10,381,398,10,10,10,10,10,10,10,10,10,10,10,10,10,367,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,365,10,367,10,10,10,10,10,10,10,10,10,10,381,382,382,382,382,382,382,382,382,382,382,382,382,382,383,426,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,430,411,429,427,427,427,428,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,365,10,413,350,350,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,365,10,10,10,10,10,367,10,10,10,10,10,10,10,10,10,10,10,55,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,597,596,596,597,613,609,610,10,10,10,684,685,684,685,684,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,381,382,382,382,398,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,597,596,597,661,625,626,10,10,10,684,685,685,684,685,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,56,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,596,596,597,596,10,10,10,10,10,10,636,639,655,638,637,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,53,10,10,10,10,10,10,10,10,10,10,10,10,10,349,350,350,350,350,350,350,350,350,350,350,350,351,10,10,597,596,597,596,597,10,10,10,10,10,10,668,669,671,669,668,10,324,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,70,69,70,70,70,70,68,70,70,70,70,367,10,10,596,597,596,597,597,10,10,10,10,10,10,596,597,596,596,597,10,324,10,410,411,412,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
350,350,350,350,350,414,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,350,350,350,350,350,350,350,350,350,350,350,367,10,10,596,596,597,596,597,10,10,10,596,597,597,596,597,596,597,596,597,10,10,410,411,412,10,325,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,10,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,70,70,68,70,70,70,71,70,70,70,70,367,10,10,596,596,597,597,597,10,10,10,596,596,597,596,597,596,596,597,596,10,10,410,411,412,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
382,382,382,382,382,398,10,367,10,10,10,10,10,10,10,10,10,10,10,10,54,10,10,10,10,10,10,10,365,350,350,350,350,350,350,350,350,350,350,350,367,10,10,597,597,596,596,596,10,10,10,597,597,596,596,596,596,597,596,597,10,10,410,411,412,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,55,10,10,365,70,70,70,72,70,70,70,70,70,68,70,367,10,10,596,597,597,596,597,10,10,10,597,596,597,596,597,597,597,596,596,10,10,410,411,412,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,350,350,350,350,350,350,350,350,350,350,350,367,10,10,609,610,609,609,610,10,10,10,596,597,596,597,596,596,596,597,597,10,10,410,411,412,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,68,70,70,70,70,68,70,70,69,70,70,367,10,10,674,721,674,674,675,10,10,10,609,610,609,610,609,609,610,609,610,10,10,410,411,412,10,10,10,18,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,223,224,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,381,382,382,382,382,382,382,382,382,382,382,382,383,10,10,10,10,10,10,10,10,10,10,674,723,674,674,674,674,626,625,674,10,10,410,411,412,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,223,224,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,359,360,361,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,52,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,492,10,10,10,10,410,411,412,10,374,375,376,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,597,596,597,10,10,394,395,395,395,395,395,395,395,446,411,412,10,390,391,392,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,596,597,596,597,10,10,410,411,411,411,411,411,411,411,411,411,412,10,406,407,408,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,596,596,597,10,10,410,411,411,411,411,411,411,411,411,411,445,395,395,395,395,395,395,395,396,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,596,596,597,596,10,507,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,597,597,596,597,10,10,410,411,411,411,411,411,411,411,411,411,429,427,427,427,427,427,427,427,428,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,15,10,10,597,596,596,596,597,10,10,426,427,427,427,427,427,427,427,430,411,412,10,10,10,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,597,596,597,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,365,10,413,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,597,596,597,596,10,10,10,10,597,596,597,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,394,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,
10,10,10,10,10,365,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,596,597,597,597,10,10,10,10,596,597,596,10,10,10,410,411,412,10,10,597,596,597,596,597,596,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,
10,10,10,10,10,381,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,398,10,367,10,10,10,10,10,10,10,10,10,10,10,10,465,466,467,596,597,597,596,596,10,10,10,10,597,596,597,10,10,10,410,411,412,10,10,597,597,596,597,596,597,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,429,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,481,482,483,596,596,597,597,596,10,10,10,10,596,596,597,10,10,10,410,411,412,10,10,596,596,597,597,597,596,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,497,498,499,609,610,609,609,610,10,10,10,10,596,597,597,10,10,10,410,411,412,10,10,597,597,597,596,596,597,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,674,674,674,674,674,10,10,10,10,610,609,609,10,10,10,410,411,412,10,10,596,597,596,597,597,596,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,674,722,674,10,10,10,410,411,412,10,10,609,610,609,610,609,610,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,675,674,674,626,723,674,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,445,395,395,395,395,395,395,395,395,395,395,396,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,414,10,367,10,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,10,10,10,685,684,685,685,685,685,684,684,685,10,10,410,411,411,411,411,411,411,411,411,411,411,411,411,412,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,367,10,10,10,10,10,10,10,10,10,10,497,498,499,10,10,10,10,10,10,684,684,685,684,685,684,684,685,684,10,10,410,411,429,427,427,427,427,430,411,429,427,427,427,428,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,685,685,685,684,684,685,684,685,684,10,10,410,411,412,10,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,10,10,17,10,10,10,685,684,684,685,684,685,684,685,685,10,10,410,411,412,10,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,143,144,10,10,10,10,10,10,684,684,685,684,685,684,685,684,684,10,10,410,411,412,10,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,144,159,144,10,10,10,10,10,10,636,623,636,637,637,639,636,655,637,10,10,410,411,412,10,10,10,10,410,411,412,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,144,159,144,10,10,10,10,10,10,668,669,668,669,669,668,669,671,669,10,10,410,411,412,10,10,10,10,410,411,412,10,10,10,10,10,973,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,144,159,160,161,10,10,10,10,10,597,596,597,597,596,597,596,597,596,10,10,410,411,412,10,10,10,10,410,411,412,10,10,10,10,359,360,361,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,160,175,176,177,10,10,10,10,10,596,597,597,596,596,597,597,596,597,10,10,410,411,445,396,10,10,10,410,411,412,10,10,10,374,375,376,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,974,975,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,176,349,350,350,350,350,350,351,10,597,596,597,596,597,596,596,596,596,10,10,410,411,411,445,395,395,395,446,411,412,10,10,10,390,391,392,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,70,68,70,70,69,367,10,597,596,596,597,596,597,596,597,597,10,10,426,430,411,411,411,411,411,411,411,445,395,396,10,406,407,408,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,350,350,350,350,350,367,10,596,597,597,596,596,597,597,596,597,10,10,10,426,427,427,427,427,427,430,411,411,411,445,396,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,223,224,10,10,684,685,684,685,684,685,684,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,70,70,71,70,367,10,609,610,610,609,609,609,610,610,609,10,10,10,10,10,10,10,10,10,426,427,430,411,411,412,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,10,10,223,224,10,10,685,685,684,685,685,685,684,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,382,382,382,383,10,721,674,674,674,674,674,674,722,674,10,10,10,10,10,359,360,361,10,10,19,426,430,411,412,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,10,223,224,10,10,685,684,685,685,684,684,685,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,410,411,412,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,10,10,10,223,224,10,10,684,685,684,685,684,685,685,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,596,596,596,596,596,596,10,10,223,224,10,10,685,685,684,685,684,685,685,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,596,597,597,596,597,597,10,10,223,224,10,10,684,685,685,685,684,684,685,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,974,974,975,10,10,597,597,596,597,597,596,10,10,223,224,10,10,684,684,685,684,685,685,684,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,467,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,974,975,10,10,10,10,10,609,610,609,609,610,609,10,10,223,224,10,10,636,639,637,655,636,623,638,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,10,10,626,674,721,674,674,674,10,10,223,224,10,10,668,669,669,671,669,668,669,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,499,10,10,10,10,10,10,10,10,10,597,596,597,598,666,685,684,684,685,684,10,10,10,410,411,412,10,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,910,974,911,958,958,958,958,958,958,958,958,958,910,974,974,974,974,974,975,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,223,224,10,10,596,596,597,597,596,597,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,596,597,666,684,685,684,685,685,10,10,10,410,411,412,10,10,10,10,10,10,10,10,973,974,911,958,958,958,958,958,958,958,958,958,959,10,957,958,958,958,958,958,910,974,974,974,975,10,10,10,10,10,10,10,10,325,375,376,10,10,10,10,10,10,10,10,10,10,10,223,224,10,10,597,597,596,597,597,597,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,597,596,597,730,638,637,655,639,636,10,10,10,410,411,412,10,10,10,10,10,359,360,361,10,10,973,911,958,958,958,958,958,958,958,958,959,941,927,958,958,910,974,974,975,10,10,10,10,402,403,404,405,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,223,224,10,10,597,596,597,597,596,597,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,610,609,609,610,694,668,669,671,669,668,10,10,10,410,411,412,10,10,10,10,374,375,376,10,10,10,10,973,974,974,974,911,958,958,958,958,926,927,958,958,910,975,10,10,10,10,10,10,10,418,419,420,421,10,10,10,10,406,407,408,596,597,596,666,685,685,684,685,10,10,10,223,224,10,10,597,597,597,596,596,597,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,127,128,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,674,626,721,674,660,596,597,597,596,596,10,10,10,410,411,412,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,973,974,911,958,958,958,958,910,974,975,10,10,10,10,10,10,10,10,434,435,436,437,10,10,10,10,10,10,10,597,597,596,666,685,684,685,684,10,10,10,223,224,10,10,597,596,597,597,597,596,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,142,143,144,10,10,10,10,10,10,10,10,10,10,10,402,403,404,404,405,405,10,10,10,10,365,10,10,597,596,596,597,597,10,10,10,410,411,412,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,973,911,958,958,910,975,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,597,596,597,666,684,684,685,685,10,10,10,223,224,10,10,596,597,596,613,609,610,610,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,156,157,158,159,160,161,10,10,10,10,10,10,10,10,10,10,418,419,420,419,420,421,10,10,10,491,365,69,10,597,596,597,596,597,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,596,596,666,685,684,684,685,10,10,10,223,224,10,10,596,597,597,661,674,723,674,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,172,173,174,175,176,177,10,465,466,467,10,10,10,10,10,10,434,435,436,435,436,437,10,10,10,491,365,69,10,597,596,597,596,596,10,10,10,410,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,396,957,958,958,959,394,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,396,10,10,10,10,596,597,597,666,685,685,685,684,10,10,10,223,224,10,10,609,610,609,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,10,10,10,418,419,420,419,420,421,10,10,10,10,365,69,10,596,597,597,597,596,10,507,507,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,957,958,958,959,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,508,508,508,10,597,597,596,730,636,638,639,637,10,10,10,223,224,10,10,674,721,674,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,499,10,10,10,10,10,10,434,435,436,435,436,437,10,10,10,10,365,72,10,597,597,596,596,597,10,10,10,410,411,429,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,428,957,958,958,959,426,427,427,427,427,427,427,427,427,427,427,427,427,427,427,430,411,412,10,10,10,10,609,610,609,746,652,653,654,653,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,434,435,436,436,419,453,10,10,10,10,365,69,10,609,610,610,609,610,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,674,723,674,674,674,674,675,674,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,142,142,142,142,142,142,125,450,451,452,452,453,127,10,491,492,10,365,69,10,674,722,674,674,723,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,223,221,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,142,142,142,45,125,10,10,10,10,10,10,127,128,142,142,143,144,158,158,158,158,158,158,141,142,142,142,142,142,143,10,491,492,10,365,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,239,237,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,142,142,142,45,142,142,143,144,158,158,158,61,141,142,142,142,45,142,142,143,144,158,158,159,144,61,61,61,61,61,61,157,158,158,158,158,158,159,10,491,492,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,127,128,142,142,142,45,142,142,142,142,142,143,144,158,158,158,158,158,158,159,144,61,158,158,158,157,158,158,158,158,158,158,159,144,61,61,159,416,158,158,158,158,158,158,157,61,61,61,61,61,159,10,491,492,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
128,142,45,142,142,142,143,144,158,158,158,61,158,158,158,158,158,159,144,158,61,158,158,158,158,159,144,158,158,158,158,157,158,158,158,158,61,158,159,144,158,158,159,432,174,174,174,174,174,174,157,158,158,158,158,158,159,161,491,492,220,224,355,355,355,355,355,355,355,346,10,10,410,411,412,10,10,354,355,355,355,355,355,355,355,355,355,355,355,355,355,346,177,957,958,958,959,177,354,355,355,355,355,355,355,355,355,355,355,346,10,10,410,411,412,10,10,354,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,346,10,10,410,411,412,10,10,354,355,355,355,355,355,355,355,355,220,224,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,
144,158,61,158,158,158,159,144,158,158,158,61,158,158,158,158,158,159,144,158,158,158,61,158,158,159,160,174,174,174,77,157,158,61,158,158,158,158,159,160,174,174,175,448,10,10,10,10,10,10,173,174,174,174,174,174,175,177,491,492,220,224,371,371,371,371,371,371,371,362,10,10,410,411,412,10,10,370,371,371,371,371,371,371,371,371,371,371,371,371,371,362,177,957,958,958,959,177,370,371,371,371,371,371,371,371,371,371,371,362,10,10,410,411,412,10,10,370,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,362,10,10,410,411,412,10,10,370,371,371,371,371,371,371,371,371,220,224,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,
144,158,61,158,158,158,159,160,174,174,174,77,174,174,174,174,174,175,160,174,174,174,77,174,174,175,176,10,10,10,10,173,174,174,174,174,174,174,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
160,174,77,174,174,174,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,68,10,10,10,10,10,10,69,10,10,10,10,10,10,10,10,10,957,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,56,10,10,10,10,10,10,10,10,10,10,324,324,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,349,350,350,350,350,350,350,350,350,350,351,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,597,596,597,597,10,10,10,10,10,10,10,10,10,10,10,941,927,958,958,926,943,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,394,395,395,395,395,395,396,10,596,597,597,597,667,597,597,597,597,599,10,394,395,395,395,395,395,396,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,73,365,68,70,68,68,71,68,68,70,68,367,10,220,224,10,10,599,596,597,596,597,596,10,10,410,411,412,10,10,597,596,596,596,10,10,10,10,10,68,10,10,10,10,10,957,958,958,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,410,411,411,411,411,411,412,10,685,684,685,684,667,597,596,597,596,597,10,410,411,411,411,411,411,412,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,350,350,350,350,350,350,350,350,350,367,10,220,224,10,10,597,597,597,596,597,597,10,10,410,411,412,10,10,596,597,596,597,10,10,10,10,10,10,10,10,10,10,941,927,958,958,958,958,926,943,10,10,10,10,10,10,10,10,10,359,360,361,10,410,411,412,10,410,411,411,411,411,411,412,10,637,655,637,637,731,596,596,597,597,597,10,410,411,411,411,411,411,412,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,497,498,499,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,15,10,10,10,10,10,10,10,10,73,365,72,68,68,68,68,68,69,68,68,367,10,220,224,10,10,597,596,597,597,596,597,10,10,410,411,412,10,10,609,610,609,609,10,10,10,10,10,10,10,16,941,942,927,958,958,958,958,958,958,926,942,943,10,10,10,10,10,10,374,375,376,10,10,410,411,412,10,410,411,411,411,411,411,412,10,668,671,668,669,679,597,596,597,597,596,10,410,411,411,411,411,411,412,10,410,411,412,10,10,684,685,685,684,685,685,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,350,350,350,350,350,350,350,350,350,367,10,220,224,10,10,596,597,596,597,596,597,10,10,410,411,412,10,10,626,674,675,674,10,10,10,10,941,942,942,942,927,958,958,958,958,958,958,958,958,958,958,926,942,942,942,943,10,10,390,391,392,10,10,410,411,412,10,410,411,411,411,411,411,412,10,596,597,597,597,597,597,597,597,596,597,10,410,411,411,411,411,411,412,10,410,411,412,10,10,685,684,685,685,685,685,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,73,365,68,69,68,68,70,68,68,68,71,367,10,220,224,10,10,609,609,610,609,609,610,10,10,410,411,412,10,10,10,10,10,10,10,941,942,942,927,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,926,942,943,406,407,408,10,10,410,411,412,10,410,411,411,411,411,411,412,10,609,610,609,609,610,609,610,609,609,610,10,410,411,411,411,411,411,412,10,410,411,412,10,10,685,685,685,684,685,684,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
498,499,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,350,350,350,350,350,350,350,350,350,367,10,220,224,10,10,674,723,674,674,721,674,10,10,410,411,412,10,10,492,10,10,10,941,927,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,926,943,10,10,10,10,410,411,412,10,410,411,411,411,411,411,412,10,674,626,674,625,674,674,721,674,626,674,10,410,411,411,411,411,411,412,10,410,411,412,507,10,684,685,684,684,685,685,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,381,382,382,382,382,382,382,382,382,382,383,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,508,508,492,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,410,411,412,10,410,411,411,411,411,411,412,10,10,10,10,10,10,10,10,10,10,10,10,410,411,411,411,411,411,412,10,410,411,412,10,10,685,685,685,685,685,685,684,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,497,498,499,10,10,491,492,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,941,927,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,410,411,412,10,410,411,411,411,411,411,445,395,395,395,395,395,395,395,395,395,395,395,395,446,411,411,411,411,411,412,10,410,411,412,10,10,684,684,685,684,684,685,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,491,492,10,74,163,164,165,166,167,168,74,74,74,74,74,74,74,74,74,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,941,927,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,685,685,685,685,685,684,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,497,498,499,10,10,10,10,10,10,10,10,10,10,10,10,127,10,491,492,10,90,179,180,181,182,183,184,90,90,90,90,90,90,90,90,90,10,10,10,10,10,220,224,10,10,597,596,597,596,597,596,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,685,684,685,685,685,685,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,13,14,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,142,142,143,10,491,492,10,106,195,196,197,198,199,200,106,106,107,106,106,106,106,106,107,10,10,491,10,10,220,224,10,10,597,597,597,596,597,597,10,10,410,411,412,10,10,10,941,927,958,958,958,958,958,958,958,958,958,958,958,910,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,685,685,684,685,684,684,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,142,45,142,143,144,158,158,159,10,491,492,10,123,211,212,213,214,215,216,123,123,123,122,123,123,123,123,123,10,10,491,10,10,220,224,10,10,597,596,597,597,596,597,10,10,410,411,412,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,959,10,973,974,911,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,685,685,684,685,685,685,684,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,158,61,158,159,144,158,158,159,10,491,492,226,139,227,228,229,230,231,232,139,91,139,138,139,91,139,91,139,233,10,491,10,10,220,224,10,10,596,597,596,597,596,597,10,10,410,411,412,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,957,958,958,958,958,958,958,958,958,958,910,974,975,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,684,685,685,684,684,685,685,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,143,159,144,158,158,158,159,144,158,61,159,161,491,492,242,155,243,244,245,246,247,248,155,155,155,154,155,155,155,155,155,249,10,491,10,10,220,224,10,10,609,609,610,609,609,610,10,10,410,411,412,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,943,10,10,957,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,636,639,638,637,636,623,636,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,159,159,144,158,61,158,159,160,174,174,175,10,491,492,442,443,443,443,443,444,10,10,10,10,10,492,10,10,10,10,10,10,10,491,10,10,220,224,10,10,674,674,625,722,674,674,10,10,410,411,412,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,941,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,652,653,654,653,652,653,654,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,159,159,160,174,77,174,175,176,10,10,10,10,491,508,458,459,459,459,459,460,10,10,10,10,10,492,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,926,942,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,410,411,412,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,674,721,674,626,625,674,674,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,159,175,350,350,351,10,10,10,10,10,10,10,10,10,458,459,459,459,459,460,10,10,10,10,10,492,10,10,10,10,10,524,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,410,411,412,10,426,427,427,427,427,427,427,430,463,464,429,427,427,427,427,427,427,427,427,427,427,427,427,427,427,428,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,365,69,69,367,10,10,10,10,10,10,10,10,10,458,459,459,459,459,460,10,10,10,10,10,492,10,10,13,14,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,410,479,480,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,10,365,350,350,367,10,10,10,10,10,10,10,10,10,458,459,459,459,459,460,10,10,10,10,10,492,10,10,10,10,10,10,10,10,10,10,220,224,10,10,597,596,597,596,597,596,10,10,410,411,412,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,10,410,411,445,395,395,395,395,395,395,395,395,446,411,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,446,411,445,395,395,395,395,395,395,395,395,395,395,395,220,224,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,10,365,72,69,367,10,10,10,10,10,492,10,10,10,474,475,475,475,475,476,10,10,10,10,10,492,10,10,10,10,10,10,10,10,10,10,220,224,10,10,597,597,597,596,597,597,10,10,410,411,412,10,10,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,220,224,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,144,10,365,350,350,367,10,10,10,10,10,492,10,10,10,10,10,10,10,10,10,10,10,10,10,10,492,10,10,10,10,10,10,10,10,10,10,220,224,10,10,597,596,597,597,599,597,10,10,410,411,412,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,465,466,467,10,10,410,411,429,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,430,411,429,427,427,427,427,427,427,427,427,427,427,427,220,224,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,144,10,365,69,68,367,10,10,394,395,395,395,396,10,10,10,10,10,10,10,10,10,10,10,10,10,492,10,10,10,685,684,685,685,10,10,10,220,224,10,10,596,597,596,597,596,597,10,10,410,411,412,10,10,10,10,10,973,974,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,482,483,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,465,466,467,10,10,10,72,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,159,159,160,78,381,350,350,383,10,10,410,411,411,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,395,396,10,10,684,685,684,684,10,10,10,220,224,10,10,609,609,610,609,609,610,10,10,410,411,412,10,10,10,10,10,10,10,10,973,974,911,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,45,498,499,10,10,410,411,412,10,10,10,685,684,685,684,685,685,684,685,684,684,685,684,685,685,685,684,685,685,685,684,685,685,684,10,10,410,411,412,10,481,482,483,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,159,175,176,684,684,684,684,684,10,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,10,636,637,655,636,10,10,10,220,224,10,10,675,674,674,674,674,723,10,10,410,411,412,10,10,596,596,597,597,596,597,10,18,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,974,975,10,10,10,10,61,10,10,10,10,410,411,412,10,465,466,685,684,685,684,685,684,685,685,684,685,684,685,685,684,685,684,685,684,685,684,685,685,684,10,10,410,411,412,10,497,498,499,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,175,10,10,684,685,684,685,685,10,10,426,430,411,429,427,427,427,427,427,427,427,427,427,427,427,427,427,430,411,412,508,10,668,669,671,669,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,597,597,596,596,597,596,10,10,973,911,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,76,77,78,10,10,10,410,411,412,10,481,482,684,685,685,684,685,684,685,684,685,685,685,684,684,685,685,684,685,685,684,685,684,684,685,10,10,410,411,412,10,10,596,597,597,596,597,597,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,70,10,10,655,637,636,623,637,10,10,10,410,411,412,10,10,10,10,10,10,349,350,350,350,350,350,351,410,411,412,10,10,596,597,597,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,596,597,596,597,596,597,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,481,482,684,685,685,685,684,685,684,685,684,684,684,685,684,685,685,684,685,684,685,684,685,684,685,10,10,410,411,412,10,10,597,597,596,596,597,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,350,350,10,10,671,669,668,668,669,10,507,507,410,411,412,10,10,684,684,684,684,365,68,70,68,68,68,367,410,411,412,10,10,597,596,596,597,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,609,610,609,609,610,610,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,481,482,637,639,637,636,655,637,639,636,637,637,636,623,638,636,637,639,636,637,655,636,637,639,636,10,10,410,411,412,10,10,596,597,597,597,596,597,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,70,70,10,10,597,596,597,597,596,10,10,10,410,411,412,10,10,685,684,685,684,365,350,350,350,350,350,367,410,411,412,10,10,597,597,596,597,10,10,10,220,224,10,10,597,596,597,596,597,596,10,10,410,411,412,10,10,674,626,674,721,674,674,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,465,466,482,669,668,668,669,671,669,733,652,653,654,652,653,654,652,653,654,748,668,671,668,669,668,669,10,10,410,411,412,10,10,597,596,596,597,596,597,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,350,350,10,10,596,597,596,596,597,10,10,10,410,411,412,508,10,684,684,685,685,365,68,68,68,69,68,367,410,411,412,10,10,596,597,597,596,10,10,10,220,224,10,10,597,597,597,596,597,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,957,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,481,482,482,596,597,597,596,597,597,661,721,674,674,675,674,674,674,723,674,660,597,596,597,596,596,597,10,10,410,411,412,10,10,596,597,597,596,597,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,68,70,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,684,685,685,684,365,350,350,350,350,350,367,410,411,412,10,10,596,597,596,597,10,10,10,220,224,10,10,597,596,597,597,596,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,941,927,958,958,958,958,958,958,958,958,958,958,958,959,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,497,498,482,597,596,597,596,597,597,10,10,10,10,10,10,10,10,10,10,10,596,597,596,597,596,597,10,10,410,411,412,10,10,597,596,597,597,597,597,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,350,350,10,10,675,674,674,721,674,10,10,10,410,411,412,10,10,636,639,636,636,365,70,68,68,70,68,367,410,411,412,10,10,609,609,609,610,10,10,10,220,224,10,10,596,597,596,597,596,597,10,10,410,411,412,10,10,10,10,10,10,324,941,942,942,927,958,958,958,958,958,958,958,958,958,958,958,910,975,68,69,68,68,68,10,10,10,10,10,10,10,10,410,411,412,10,481,482,597,597,596,597,596,597,10,394,395,395,395,395,395,395,395,396,10,597,596,597,596,597,596,10,10,410,411,412,10,10,596,597,597,596,596,597,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,652,653,654,654,365,350,350,350,350,350,367,410,411,412,10,10,674,721,674,674,10,10,10,220,224,10,10,609,609,610,609,609,610,10,10,410,411,412,10,10,10,10,10,10,941,927,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,350,350,350,350,350,10,10,10,10,10,10,10,10,410,411,412,10,481,482,596,596,597,596,597,597,10,410,411,411,411,411,411,411,411,412,10,596,597,597,597,596,597,10,10,410,411,412,10,10,609,610,610,609,609,610,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,674,674,722,674,365,71,68,68,69,68,367,410,411,412,10,10,10,10,10,10,10,10,10,220,224,10,10,674,721,674,625,674,674,10,10,410,411,412,10,10,359,360,361,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,71,68,70,68,68,10,10,10,10,10,10,10,10,410,411,412,10,481,482,597,597,597,596,597,596,10,410,411,411,411,411,411,411,411,412,10,596,597,596,596,597,597,10,10,410,411,412,10,10,625,674,674,721,674,674,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,365,350,350,350,350,350,367,410,411,412,10,10,10,10,10,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,410,411,412,10,374,375,376,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,958,959,10,350,350,350,350,350,10,636,655,637,639,637,10,10,410,411,412,10,481,482,596,596,596,597,596,597,10,410,411,411,411,411,411,411,411,412,10,597,597,596,596,596,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,57,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,325,394,446,411,445,396,10,10,10,10,10,381,382,382,382,382,382,383,410,411,412,10,10,10,10,10,10,10,10,10,239,240,10,10,10,10,10,10,10,10,10,10,410,411,412,10,390,391,392,10,10,957,958,958,958,958,958,958,958,958,958,958,958,958,958,958,910,975,10,10,10,10,10,10,10,668,671,668,669,668,10,10,410,411,412,10,481,482,597,597,596,597,596,597,10,410,411,411,411,411,411,411,411,412,10,597,596,596,597,597,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,411,411,412,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,255,256,10,10,10,10,10,10,10,10,10,10,410,411,412,10,406,407,408,10,10,957,958,958,958,958,958,958,958,958,958,958,958,910,974,974,975,10,10,596,597,596,597,596,597,597,597,596,597,596,10,10,410,411,412,10,497,498,597,596,597,596,597,596,10,410,411,411,411,411,411,411,411,412,10,596,597,597,596,597,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,411,411,412,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,339,339,10,10,597,596,597,596,597,596,10,10,410,411,412,10,10,10,10,10,941,927,958,958,958,958,958,958,910,974,974,974,974,975,10,10,10,10,10,597,597,596,597,597,597,596,596,597,597,597,10,10,410,411,412,10,10,10,597,596,596,596,597,596,10,426,427,427,427,427,427,427,427,428,10,597,596,597,597,596,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,411,411,412,10,220,224,355,355,355,355,355,355,346,10,10,410,411,412,10,10,354,355,355,355,355,355,355,346,355,10,10,597,597,597,596,597,597,10,10,410,411,412,10,10,10,10,10,957,958,958,958,958,958,958,910,975,10,10,10,10,10,10,10,10,10,10,596,597,596,597,596,596,597,596,597,596,597,10,10,410,411,412,10,10,10,596,596,597,597,596,597,10,10,10,10,10,10,10,10,465,466,467,597,596,597,596,597,596,10,10,410,411,412,10,10,597,596,596,597,596,597,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,426,427,427,427,428,10,220,224,371,371,371,371,371,371,362,10,10,410,411,412,10,10,370,371,371,371,371,371,371,362,10,10,10,597,596,597,597,596,597,10,10,410,411,412,10,10,10,10,10,957,958,958,958,958,958,958,959,10,10,10,10,10,10,10,10,10,10,10,597,596,597,596,597,597,597,597,597,596,596,10,10,410,411,412,10,10,10,596,597,597,596,596,597,908,909,10,10,10,10,10,10,481,482,483,596,597,596,596,596,597,10,10,410,411,412,10,10,596,597,597,596,596,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,410,411,412,10,879,866,866,866,866,866,877,10,10,10,10,10,596,597,596,597,596,597,10,10,410,411,412,10,10,10,10,10,973,974,911,958,958,958,910,975,10,10,10,10,10,10,10,10,10,10,10,596,597,597,596,597,596,596,596,597,597,597,10,10,410,411,412,10,10,10,596,597,596,597,597,596,924,925,10,10,10,10,10,10,497,498,499,596,597,597,596,597,596,10,10,410,411,412,10,10,597,596,597,596,597,597,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,410,411,412,10,879,866,866,866,866,861,925,10,10,10,10,10,609,609,610,609,609,610,10,10,410,411,412,10,10,10,10,10,10,10,973,974,974,974,975,10,10,10,13,14,10,10,10,10,10,10,10,609,610,609,609,610,609,609,609,610,610,609,10,10,410,411,412,10,10,10,609,610,609,609,609,610,10,10,10,10,10,10,10,10,10,10,10,609,610,610,609,610,610,10,10,410,411,412,10,10,609,610,612,596,596,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,359,360,361,10,10,10,10,10,410,411,412,10,924,862,863,866,866,877,10,10,10,10,10,10,674,674,721,626,674,723,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,720,723,720,720,722,720,721,720,625,626,720,10,10,410,411,412,10,10,10,674,625,674,674,626,674,10,10,10,10,10,10,10,10,10,10,10,674,626,674,674,721,674,10,10,410,411,412,10,10,625,626,660,597,597,596,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,15,10,10,10,220,224,374,375,376,10,10,10,10,10,10,410,411,412,10,10,15,924,862,862,925,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,597,596,597,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
128,142,45,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,390,391,392,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,55,10,491,10,10,10,10,10,10,10,10,10,10,10,10,10,492,10,10,10,10,10,10,410,411,412,10,10,10,10,10,597,596,597,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
144,158,61,158,158,141,142,142,142,142,45,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,406,407,408,10,10,10,10,394,395,446,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,446,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,446,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,446,411,445,395,395,396,10,10,596,597,597,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
160,174,77,174,174,157,158,158,158,158,61,158,158,158,141,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,19,10,220,224,10,10,599,596,597,10,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,10,597,597,597,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
176,10,10,10,10,173,174,174,174,174,77,174,174,174,157,158,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,597,596,597,10,10,410,411,429,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,430,411,429,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,430,411,412,10,10,597,596,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,597,597,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,596,597,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,465,466,466,466,467,10,10,10,10,10,10,10,10,10,173,157,141,10,10,10,10,10,10,10,10,10,127,10,10,10,10,10,10,220,224,10,10,596,597,597,10,10,410,411,412,10,10,596,596,597,597,597,597,596,596,597,596,597,596,597,597,596,597,597,596,597,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,684,684,684,684,684,684,684,684,684,684,684,684,684,684,684,684,684,684,10,10,410,411,412,10,10,10,596,597,596,597,596,597,596,597,597,597,596,597,597,597,597,596,597,596,597,597,597,597,596,597,597,597,10,10,410,411,412,10,10,596,596,597,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,481,482,482,482,483,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,127,143,10,10,10,10,10,10,220,224,10,10,609,610,609,10,10,410,411,412,10,10,597,597,597,596,596,597,596,597,596,597,597,597,596,597,596,597,596,597,596,597,596,596,597,597,596,597,596,596,597,596,596,596,597,596,597,596,596,596,596,596,666,684,684,685,685,685,684,685,685,684,684,685,685,684,685,684,685,684,685,10,10,410,411,412,10,15,10,597,596,597,596,597,596,597,596,596,596,596,596,596,597,596,597,597,596,597,596,596,596,597,597,596,597,10,10,410,411,412,508,10,597,596,597,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,497,482,482,498,499,10,10,10,10,10,10,10,10,10,10,10,173,125,10,10,10,10,10,10,10,143,159,10,10,10,10,10,10,220,224,10,10,674,675,674,10,10,410,411,412,10,10,596,597,596,597,596,597,596,596,596,597,597,596,597,596,597,596,597,597,596,596,597,597,596,597,596,596,597,596,596,597,596,597,596,597,596,596,597,597,597,597,666,685,684,685,684,685,684,685,684,685,685,685,684,685,685,685,685,685,685,10,10,410,411,412,10,10,10,596,596,597,597,596,596,597,596,597,597,596,597,597,596,597,596,596,597,596,597,597,597,596,597,596,596,10,10,410,411,412,10,10,597,596,597,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,481,482,483,10,10,13,14,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,159,159,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,597,596,597,597,596,596,597,597,597,597,596,597,596,596,597,597,597,596,597,613,609,610,610,609,612,597,682,684,685,685,685,685,684,685,685,684,685,685,685,683,666,684,685,684,685,684,685,685,684,685,685,684,685,684,685,684,684,685,685,10,10,410,411,412,10,10,10,596,597,596,596,597,597,596,597,597,596,597,596,596,597,596,596,596,597,597,596,596,597,596,597,596,597,10,10,410,411,412,10,10,596,597,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,497,498,499,10,10,10,10,10,10,10,10,10,10,10,10,76,157,141,125,10,10,10,10,10,159,159,161,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,612,597,596,596,597,597,596,597,596,596,597,597,597,597,596,597,596,597,597,661,674,674,626,674,660,596,666,684,685,684,684,685,684,685,684,685,684,685,684,667,666,685,684,684,685,684,684,685,685,684,684,685,685,684,685,684,685,685,685,10,10,410,411,412,10,10,10,596,597,596,596,597,596,596,596,596,596,597,597,597,596,597,597,596,597,596,597,596,596,597,596,597,596,10,10,410,411,412,10,10,609,609,610,609,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,10,175,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,660,596,597,596,597,596,597,596,597,597,596,597,613,610,609,610,609,610,610,10,10,10,10,10,10,596,666,685,684,684,685,685,684,685,684,685,685,684,684,667,666,684,685,685,684,685,684,684,685,685,684,685,684,685,685,684,685,684,684,10,10,410,411,412,10,10,10,597,596,597,597,596,596,597,597,613,609,610,610,610,609,609,610,609,610,610,610,610,610,609,609,609,610,10,10,410,411,412,10,10,674,674,674,674,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,10,10,10,10,10,10,10,10,10,908,894,894,220,224,10,596,597,596,597,10,10,410,411,412,10,10,10,597,597,597,597,597,597,596,596,596,597,613,629,674,674,674,674,626,625,10,10,10,10,10,10,597,666,685,685,684,685,684,685,684,684,685,684,685,685,667,730,636,637,639,655,637,637,636,623,636,636,637,636,637,639,637,655,636,637,10,10,410,411,412,10,10,10,596,597,596,596,597,597,596,597,661,674,721,674,674,674,674,674,722,674,674,674,674,674,674,674,723,674,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,908,894,895,899,882,220,224,909,597,596,597,596,10,10,410,411,412,10,10,10,597,596,597,597,596,597,596,597,596,597,661,10,10,10,10,10,10,10,10,10,10,10,10,10,596,666,684,685,684,684,685,685,684,685,684,685,685,684,667,678,669,668,669,671,668,669,669,669,668,668,669,668,669,668,668,671,668,669,10,10,410,411,412,10,10,10,597,596,597,597,596,596,597,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,908,909,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,10,10,10,10,10,10,10,879,899,882,883,864,220,224,893,596,596,597,597,10,10,410,411,412,10,10,10,597,596,596,597,597,596,597,597,597,596,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,730,636,637,655,637,637,636,639,636,636,637,636,637,731,597,596,597,596,597,596,596,597,596,596,597,597,596,596,596,596,597,597,596,10,10,410,411,412,10,10,10,609,610,610,610,609,610,609,609,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,924,925,10,10,410,411,412,10,10,597,596,597,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
350,350,350,350,350,350,351,10,10,10,10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,879,867,880,848,848,220,224,866,597,597,596,597,10,10,410,411,412,10,10,10,596,597,596,596,597,597,596,597,596,596,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,678,668,669,671,668,669,668,669,668,669,669,668,668,679,596,597,596,597,596,597,596,596,597,596,597,596,596,597,596,597,596,597,596,10,507,410,411,412,10,10,10,674,675,674,674,674,674,722,674,10,465,466,467,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,410,411,412,10,10,597,596,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,413,350,350,350,351,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,879,867,896,896,864,220,224,866,596,597,597,596,10,10,410,411,412,10,16,10,597,596,597,597,596,596,597,596,596,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,685,683,596,596,597,596,597,596,596,597,596,597,596,596,596,597,682,684,685,685,684,683,596,596,597,596,596,597,596,597,596,596,596,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,410,411,412,508,10,596,597,597,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
382,382,382,382,398,10,10,10,10,10,367,10,10,10,10,481,482,483,10,19,10,10,10,10,10,10,10,10,10,10,10,10,879,867,912,896,864,220,224,866,609,610,609,610,10,10,410,411,412,10,10,10,596,597,596,596,597,596,597,597,597,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,685,667,597,596,596,597,597,596,597,596,596,596,596,597,596,596,666,685,684,684,685,667,597,596,597,596,597,596,597,596,597,596,596,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,497,498,499,597,596,597,597,597,596,597,597,597,596,597,597,596,597,10,10,410,411,412,10,10,609,610,609,609,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,381,382,382,382,398,10,367,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,879,915,851,848,896,220,224,866,625,674,674,723,10,10,410,411,412,10,10,10,609,610,609,610,609,610,612,597,597,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,685,667,596,597,596,596,597,597,596,596,597,597,596,597,596,597,666,684,685,684,685,667,596,597,597,596,597,597,597,596,596,596,597,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,597,596,597,596,597,596,597,596,596,597,596,598,597,10,10,410,411,412,10,10,674,723,674,674,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,924,863,915,851,912,220,224,866,877,10,10,10,10,10,410,411,412,10,10,10,675,674,625,674,626,674,660,597,597,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,667,596,597,596,596,596,597,596,596,596,597,596,596,596,597,730,636,655,639,637,731,597,597,597,597,597,597,597,597,597,597,597,597,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,13,14,10,10,597,596,597,596,597,596,597,596,597,597,596,597,596,597,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,497,481,483,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,924,863,915,851,220,224,861,925,10,10,10,10,10,410,411,412,10,10,10,10,481,482,483,10,10,10,597,597,596,596,596,596,597,597,596,597,597,597,597,596,597,597,730,637,731,596,596,596,597,596,596,596,597,596,596,596,597,597,596,678,668,671,669,668,679,596,597,613,609,609,609,609,609,609,612,597,597,10,10,410,411,412,10,10,596,597,597,597,596,596,597,10,10,10,10,10,10,597,596,597,597,596,597,597,596,597,596,597,597,597,597,10,10,410,411,412,10,10,10,10,10,10,55,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,481,482,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,924,863,915,220,224,925,10,10,10,10,10,10,410,411,412,10,10,10,10,497,498,499,10,908,909,596,596,597,596,613,610,609,610,609,610,609,610,609,610,609,610,746,653,711,596,597,596,596,596,597,596,596,596,597,597,596,596,596,596,597,596,597,596,597,597,613,629,674,626,674,674,722,674,660,597,596,10,10,410,411,412,10,10,597,597,596,596,597,597,596,10,10,10,10,10,10,596,597,596,597,597,596,597,596,597,597,597,597,596,597,10,10,410,411,412,10,10,597,596,597,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,15,10,10,10,365,10,367,10,10,10,10,10,497,498,498,499,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,924,862,220,224,10,10,597,596,597,365,10,410,411,412,10,10,10,10,10,10,10,10,924,925,597,597,597,596,661,674,674,674,674,674,674,674,674,674,674,674,674,674,628,609,610,609,610,609,610,609,610,609,610,609,612,596,597,596,597,596,597,596,597,597,661,10,10,10,10,10,10,10,10,596,597,10,10,410,411,412,10,10,597,596,597,597,596,597,596,10,10,908,894,909,10,609,610,609,610,612,597,596,597,597,596,597,596,597,597,10,10,410,411,412,10,10,596,596,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,597,596,596,365,10,410,411,412,10,10,10,10,10,10,10,10,10,10,597,597,597,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,674,674,674,674,674,674,674,674,674,674,674,660,597,596,597,596,597,596,597,597,597,10,10,10,10,10,10,10,10,10,597,596,10,10,410,411,412,10,10,597,597,596,596,597,596,597,10,10,879,866,877,10,674,721,674,675,660,597,597,597,596,597,596,597,596,597,10,10,410,411,412,10,10,596,597,596,597,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,156,157,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,597,596,596,365,10,410,411,412,10,10,10,10,10,10,10,596,597,597,597,597,683,613,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,596,597,597,596,597,597,10,18,10,10,10,10,10,10,10,596,597,10,10,410,411,412,10,10,596,597,597,596,597,596,597,10,10,924,862,925,10,10,10,10,10,10,596,596,597,597,596,597,597,597,596,10,10,410,411,412,10,10,597,597,596,596,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
18,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,172,173,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,596,597,597,365,508,410,411,412,10,10,685,684,685,684,685,684,685,685,684,685,667,661,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,596,597,596,596,597,597,597,10,10,10,10,10,10,10,10,10,597,596,10,10,410,411,412,10,10,609,610,609,610,610,609,610,10,10,10,10,10,10,10,10,10,10,10,609,610,609,610,609,609,610,609,610,10,10,410,411,412,508,10,609,610,610,609,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,19,220,224,10,10,597,596,597,365,10,410,411,412,10,10,684,685,685,685,684,685,685,684,684,685,763,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,402,403,404,405,10,10,10,10,10,10,10,10,10,10,596,597,596,597,597,596,597,597,597,10,10,10,10,10,10,10,10,596,597,10,507,410,411,412,10,10,674,674,626,674,674,721,674,10,10,10,10,10,10,10,10,10,10,10,674,722,674,674,723,674,626,625,674,10,10,410,411,412,10,10,626,674,674,625,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,10,10,10,220,224,10,10,596,597,596,365,10,410,411,412,10,10,636,655,636,637,639,636,637,636,623,636,779,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,418,419,420,421,10,10,10,10,10,10,10,10,10,10,597,596,597,596,596,597,597,597,597,10,10,10,10,10,10,10,10,597,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,144,10,10,10,220,224,10,10,609,609,609,365,10,410,411,412,10,10,668,671,668,669,669,669,668,669,668,669,10,10,10,10,10,497,498,499,10,10,10,10,10,10,10,10,434,435,436,437,10,10,10,10,10,10,10,10,10,10,596,597,596,597,596,596,597,596,596,730,639,637,655,637,637,637,636,623,636,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,492,10,10,10,10,410,411,412,10,10,492,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,465,466,467,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,144,10,18,10,220,224,10,10,674,675,674,365,10,410,411,412,10,10,596,597,596,597,596,597,596,597,596,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,10,597,596,597,596,597,597,597,596,597,678,669,668,671,669,733,652,654,654,653,10,10,410,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,446,411,445,395,395,395,395,395,395,395,395,220,224,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,395,
10,10,10,10,481,482,483,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,156,157,141,10,10,10,10,10,10,144,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,609,609,609,609,609,609,609,609,609,612,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,596,597,596,597,597,596,597,596,597,596,597,596,661,675,674,675,674,10,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,220,224,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,
10,10,10,10,497,498,499,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,172,173,157,10,10,10,10,10,10,160,161,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,674,625,626,674,674,723,674,674,674,660,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,596,597,596,613,609,610,609,609,609,609,610,609,10,10,10,10,10,10,10,410,411,429,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,430,411,429,427,427,427,427,427,427,427,427,220,224,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,427,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,10,10,10,10,10,10,10,17,10,10,220,224,10,597,596,597,596,597,10,410,411,412,10,10,10,10,10,10,481,482,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,467,10,10,10,10,10,597,596,597,596,597,661,674,674,674,674,721,674,674,674,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,402,403,404,403,404,403,404,405,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,402,403,404,405,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,596,597,596,597,596,10,410,411,412,10,10,10,10,492,10,497,498,498,499,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,483,10,10,10,10,10,596,597,596,597,596,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,418,419,435,419,436,419,420,421,10,596,597,596,596,597,597,597,596,596,597,596,597,10,10,410,411,412,10,52,418,419,420,421,10,10,220,224,10,10,596,597,596,596,597,597,596,597,597,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,609,609,609,610,609,10,410,411,412,394,395,395,395,395,395,395,395,396,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,596,597,613,610,609,10,507,394,395,395,395,395,395,395,395,395,395,395,395,396,10,410,411,412,10,10,10,10,10,10,10,10,434,435,436,435,436,435,436,437,10,597,596,597,597,596,596,597,597,596,597,596,597,10,10,410,411,412,10,402,420,419,420,435,405,10,220,224,10,10,596,596,597,597,596,596,597,597,596,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,674,674,674,625,674,10,410,411,412,410,411,411,411,411,411,411,411,412,10,597,596,597,596,597,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,596,661,675,674,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,10,596,597,597,597,10,434,435,436,436,436,435,436,437,10,596,597,596,596,597,596,596,596,597,596,597,596,10,10,410,411,412,10,418,419,420,419,420,421,10,220,224,10,10,597,596,597,596,596,597,597,596,597,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,410,411,411,411,411,411,411,411,412,10,596,597,596,597,596,596,596,596,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,597,597,10,10,10,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,10,597,596,597,596,10,450,451,452,451,452,451,452,453,10,596,597,596,597,596,597,597,596,597,597,596,597,10,10,410,411,412,10,434,435,436,435,436,437,10,220,224,10,10,597,596,596,597,597,596,597,596,597,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,19,220,224,10,10,10,10,10,10,10,410,411,412,410,411,411,411,411,411,411,411,412,10,609,609,609,610,609,609,612,596,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,596,597,10,10,10,10,324,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,508,508,10,612,597,597,597,10,10,10,10,10,465,466,467,10,10,610,609,610,612,596,597,596,597,596,597,597,597,10,10,410,411,412,10,10,596,597,597,420,421,10,220,224,10,10,596,597,597,596,596,597,596,597,596,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,410,411,411,411,411,411,411,411,412,10,674,626,674,675,674,674,660,596,666,684,685,684,684,684,685,684,684,684,684,685,684,684,684,684,684,684,685,684,684,684,685,667,596,596,596,596,596,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,10,660,597,596,597,10,10,465,466,466,482,482,483,10,10,722,674,674,660,597,597,597,597,597,597,596,596,10,10,410,411,412,10,10,597,596,596,436,437,10,220,224,10,10,609,610,609,610,610,610,609,610,609,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,599,596,597,596,597,10,410,411,412,410,411,411,411,411,411,411,411,412,10,10,10,10,10,10,10,10,596,730,636,655,637,637,655,637,637,655,637,636,639,655,637,636,655,636,637,655,637,637,655,637,731,596,596,596,596,596,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,10,10,596,597,597,10,10,481,482,482,482,482,483,10,10,10,10,10,10,596,596,597,596,596,597,597,597,10,10,410,411,412,10,10,596,596,596,452,453,10,220,224,10,10,674,675,674,674,674,674,722,674,674,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,596,597,596,597,596,10,410,411,412,410,411,411,411,411,411,411,411,412,10,10,10,10,15,10,10,10,606,678,668,671,669,668,671,668,669,671,669,668,668,671,668,668,671,669,669,671,669,668,671,668,679,596,596,596,596,596,10,507,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,10,10,597,596,596,10,10,497,482,482,482,482,483,10,10,10,10,10,10,597,597,596,596,597,596,597,597,10,10,410,411,412,10,10,596,596,596,10,10,10,220,221,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,609,609,609,610,609,10,410,411,412,426,427,427,427,427,427,427,427,428,10,10,10,324,10,10,10,10,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,53,10,10,597,597,597,10,10,10,481,482,482,482,482,467,10,10,10,10,10,597,596,597,596,596,597,596,596,10,10,410,411,412,507,10,596,596,596,10,10,10,220,237,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,10,10,220,224,10,721,674,723,626,674,10,410,411,412,402,405,10,684,684,684,684,684,684,684,684,684,684,684,10,10,10,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,10,10,596,596,596,10,10,10,481,482,482,482,482,483,10,55,10,10,10,596,597,596,597,596,597,596,597,10,10,410,411,412,10,10,609,609,609,10,10,10,220,218,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,418,421,10,685,685,684,684,684,684,684,684,684,684,684,667,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,596,597,597,596,597,10,10,10,481,482,482,498,498,499,10,10,10,10,10,609,610,609,610,609,610,609,610,10,10,410,411,412,10,10,675,674,675,10,10,10,220,221,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,434,437,10,685,685,685,684,684,684,684,684,684,684,684,667,596,596,596,682,684,685,684,685,684,684,685,685,684,685,684,684,685,685,684,685,685,684,685,685,685,684,684,685,683,596,596,596,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,508,10,609,610,610,609,610,10,10,10,497,498,499,10,10,10,10,10,10,10,10,674,674,674,721,674,674,626,674,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,418,421,10,685,685,684,685,684,684,684,684,684,684,684,667,596,596,596,666,685,685,684,684,685,685,684,685,685,685,684,685,684,685,685,684,685,684,685,684,684,685,685,684,667,596,596,596,10,10,410,411,411,411,411,411,411,411,411,411,411,411,412,10,410,411,412,10,10,674,721,674,674,722,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,597,596,597,604,597,10,410,411,412,434,437,10,685,685,685,684,684,684,684,684,684,684,684,667,596,596,596,730,637,655,636,637,655,637,636,655,637,636,655,637,636,655,636,637,655,636,636,655,637,636,655,637,731,596,596,596,10,10,426,427,427,427,427,427,427,427,427,427,427,427,428,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,17,10,220,224,10,596,597,596,597,596,10,410,411,412,450,453,10,636,636,636,639,636,636,636,636,636,655,636,731,596,596,596,678,668,671,669,669,671,668,669,671,668,669,671,669,668,671,668,669,671,668,669,671,669,668,671,669,679,596,596,596,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,56,10,10,10,163,164,165,166,167,168,74,90,74,90,74,90,74,10,10,10,10,10,10,10,10,410,411,412,508,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,597,596,597,596,597,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,609,609,609,610,609,10,410,411,412,10,10,10,654,654,652,653,654,652,654,653,732,671,668,679,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,10,10,10,10,684,685,684,684,685,685,684,685,685,684,10,10,410,411,412,10,10,10,10,10,70,10,10,10,10,179,180,181,182,183,184,90,74,90,74,90,74,90,10,10,596,596,596,596,10,10,410,411,412,10,10,596,596,596,10,10,10,220,224,10,10,422,423,424,425,10,68,10,597,596,596,597,597,10,10,10,10,10,
10,10,10,10,10,10,10,10,365,10,367,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,10,10,10,10,220,224,10,674,721,674,674,674,10,410,411,412,10,10,10,674,625,674,674,721,674,674,674,660,596,596,596,596,596,613,609,609,609,612,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,10,10,10,10,684,685,684,685,685,684,685,684,685,684,10,10,410,411,412,10,10,597,596,597,596,597,10,10,10,195,196,197,198,199,200,106,106,107,106,106,106,106,10,10,596,596,596,596,10,10,410,411,412,10,10,609,609,609,10,10,10,220,224,10,10,438,439,440,441,10,68,10,596,597,597,597,596,10,10,10,10,10,
10,10,10,10,10,10,127,10,365,10,367,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,142,45,143,144,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,596,596,596,596,596,661,674,675,674,628,609,609,612,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,10,10,10,10,636,655,636,637,639,636,637,623,637,637,10,508,410,411,412,10,10,596,597,596,597,596,10,19,10,211,212,213,214,215,216,123,123,123,123,122,123,123,10,10,612,596,596,596,10,10,410,411,412,10,10,674,674,674,10,10,10,220,224,10,10,454,455,456,457,10,70,10,609,610,609,610,610,10,10,10,10,10,
10,10,10,127,128,142,61,10,365,10,367,76,157,142,45,125,10,10,10,10,10,10,10,10,127,128,45,143,144,158,61,159,160,161,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,402,403,403,405,10,596,596,596,596,596,10,10,10,10,10,674,721,628,609,609,609,609,609,609,612,596,596,596,596,596,596,596,596,596,596,596,596,596,596,596,10,10,10,10,668,671,669,669,668,668,669,668,669,668,10,10,410,411,412,10,10,609,609,609,610,609,10,10,226,227,228,229,230,231,232,139,91,139,139,138,139,139,233,10,660,596,596,596,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,10,10,470,471,472,473,10,10,10,626,674,721,674,674,10,10,10,10,10,
128,45,142,143,144,158,77,78,365,10,413,351,173,158,61,141,125,10,10,10,10,127,128,45,143,144,61,159,160,174,77,175,176,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,19,10,418,419,420,421,10,609,609,609,609,609,10,10,10,10,10,10,10,10,674,674,674,674,625,674,660,596,596,596,596,596,596,596,596,596,596,613,609,609,609,609,10,10,10,10,597,597,597,597,597,597,597,597,597,597,10,10,410,411,412,10,10,674,674,626,625,674,10,10,242,243,244,245,246,247,248,155,155,155,155,154,155,155,249,10,10,596,596,596,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
144,61,158,159,160,174,78,10,365,10,10,367,76,174,77,157,141,142,45,125,127,143,144,61,159,160,685,685,685,685,685,685,10,10,10,10,10,220,224,10,597,596,597,596,597,10,410,411,412,10,10,10,10,10,10,10,418,435,420,437,10,674,674,626,674,674,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,609,609,609,609,609,609,609,609,609,609,629,674,674,721,674,10,10,10,10,597,597,596,597,596,597,597,596,597,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,491,492,10,442,443,443,443,443,443,443,443,443,444,10,596,596,596,10,507,410,411,412,10,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
160,77,174,175,176,10,10,10,381,398,10,367,10,10,10,173,157,158,61,141,143,159,160,77,175,176,685,685,685,685,685,685,10,10,10,10,10,220,224,10,596,597,596,597,596,10,410,411,412,10,10,10,422,423,424,425,434,436,419,421,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,674,723,674,674,674,674,674,674,625,674,10,10,10,10,10,10,10,10,10,596,596,597,596,597,596,596,597,596,597,10,10,410,411,412,10,10,10,10,492,10,10,10,10,10,10,10,491,492,10,458,459,459,459,459,459,459,459,459,460,10,596,596,596,10,10,410,411,412,10,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
176,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,173,174,77,157,159,175,176,596,596,666,685,685,685,685,685,685,10,10,10,10,16,220,224,10,609,609,609,610,609,10,410,411,412,10,10,10,438,439,440,441,10,434,435,437,10,10,394,395,396,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,609,609,609,609,610,609,609,610,609,610,10,10,410,411,445,395,395,395,395,395,395,395,395,395,395,395,395,395,396,10,458,459,459,459,459,459,459,459,459,460,10,609,609,609,10,10,410,411,412,507,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,173,175,10,10,596,596,666,685,685,685,685,685,685,10,57,19,10,10,220,224,10,722,674,674,674,674,10,410,411,412,10,325,10,454,455,456,457,10,450,434,421,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,674,723,674,674,674,674,674,674,721,674,10,10,410,411,411,411,411,411,411,411,411,411,411,411,411,411,411,411,412,10,458,459,459,459,459,459,459,459,459,460,10,674,722,674,10,10,410,411,412,10,10,609,609,609,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,596,597,596,596,730,637,655,637,623,637,637,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,10,470,471,472,473,10,10,450,453,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,908,894,909,10,10,10,10,10,10,10,10,10,13,14,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,429,427,427,427,427,427,427,427,427,427,427,427,430,411,412,10,458,459,459,459,459,459,459,459,459,460,10,10,10,10,10,10,410,411,412,10,10,722,674,674,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,359,360,361,10,10,365,10,367,10,10,10,10,10,10,10,10,10,596,596,596,596,678,668,671,668,668,668,668,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,879,866,877,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,474,475,475,475,475,475,475,475,475,476,10,324,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,374,375,376,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,596,596,596,596,597,596,596,596,596,596,596,10,10,10,10,10,220,224,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,924,862,925,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,597,596,597,596,597,10,10,410,411,412,10,10,10,57,10,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,390,391,392,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,609,609,609,609,609,609,609,609,609,609,610,10,10,10,10,10,220,224,10,597,598,597,596,597,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,597,596,597,596,597,10,10,10,10,597,596,597,596,597,10,10,10,10,597,596,597,596,597,10,10,10,10,597,599,597,596,597,10,10,10,10,597,597,596,597,596,598,597,10,10,410,411,412,10,10,10,56,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,597,597,596,597,596,10,10,410,411,412,10,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,406,407,408,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,626,723,674,674,675,674,674,721,674,625,674,10,10,10,10,10,220,224,10,596,597,596,597,596,10,410,411,412,10,10,666,684,684,684,684,684,684,684,667,10,10,410,411,412,10,10,596,597,596,597,596,10,10,10,10,596,597,596,597,596,10,10,10,10,596,597,596,597,596,10,10,10,10,596,597,596,597,596,10,10,10,10,596,596,597,596,597,596,596,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,596,597,597,596,597,10,10,410,411,412,10,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,220,224,10,609,609,609,610,609,10,410,411,412,10,10,666,684,684,684,684,684,685,684,667,10,10,410,411,412,10,10,609,609,609,610,609,10,10,10,10,609,609,609,610,609,10,10,10,10,609,609,609,610,609,10,10,10,10,609,609,609,610,609,10,10,10,10,609,609,609,609,610,609,609,10,10,410,411,412,10,10,10,10,10,10,10,10,10,10,10,410,411,412,10,10,10,598,596,596,10,10,10,10,609,610,610,609,610,10,10,410,411,412,508,10,596,596,596,10,10,10,220,224,10,10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,10,
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142,45,142,143,144,159,161,10,365,10,367,10,156,157,158,159,160,174,174,174,175,176,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,323,323,10,10,10,10,10,10,10,10,10,10,10,10,10,446,411,411,411,411,411,445,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,454,455,456,457,481,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,499,10,10,10,10,10,10,10,365,367,10,10,497,498,499,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,239,224,10,10,434,435,436,437,10,10,10,10,141,142,142,142,142,142,142,142,142,
158,61,158,159,160,175,10,10,365,10,367,10,172,173,174,175,176,10,10,10,10,10,10,10,10,10,10,10,173,220,221,339,339,339,339,339,339,339,339,10,10,10,10,10,10,10,10,10,10,10,10,10,411,411,411,411,411,411,411,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,470,471,472,473,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,219,224,10,10,450,451,452,453,10,10,10,156,157,158,158,158,158,158,158,158,158,
174,77,174,175,176,10,10,10,365,10,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,156,220,224,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,346,411,411,411,411,411,411,411,354,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,223,221,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,223,224,10,10,10,359,360,361,10,10,10,172,173,174,174,174,174,174,174,174,174,
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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,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,2,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,2,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,2,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,4,4,4,4,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,4,4,2,4,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,2,3,3,2,3,3,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,4,2,2,4,2,4,4,2,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,2,4,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,2,2,3,3,2,3,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,4,2,2,4,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,4,4,4,0,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,0,0,0,0,0,2,2,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,2,3,3,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,4,2,2,4,2,4,4,2,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,4,4,4,4,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,0,0,2,0,0,0,0,0,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,2,2,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,0,0,0,0,0,2,2,0,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,0,0,0,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,0,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,2,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,2,2,0,2,2,2,0,2,2,0,2,2,0,2,2,0,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,0,2,2,0,2,2,0,2,2,0,2,2,0,2,2,0,2,2,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,0,0,2,0,2,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,2,0,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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