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10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,255,1228,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,158,157,174,175,465,466,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,173,157,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,355,1244,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,173,157,157,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,355,1244,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,371,355,355,1244,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,
387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,387,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,17,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,158,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,15,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,
350,350,350,350,350,351,10,349,350,350,350,350,350,350,350,350,350,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,10,10,10,10,10,10,157,157,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,141,142,125,10,10,10,10,10,10,10,10,10,10,
382,382,382,382,398,367,10,365,397,382,382,382,382,382,382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,158,141,142,142,125,10,10,10,10,10,10,10,
350,350,350,350,414,367,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,125,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,158,157,158,158,141,142,142,125,10,10,10,10,
382,382,382,382,398,367,10,365,397,382,382,382,382,382,382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,142,142,142,142,142,125,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,125,10,10,10,10,406,407,408,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,157,158,158,157,158,158,141,125,10,10,10,
350,350,350,350,414,367,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,158,158,158,158,141,125,10,157,141,142,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,157,109,10,10,10,10,10,10,10,359,360,361,10,10,10,10,173,174,157,158,158,157,158,158,157,141,125,10,10,
382,382,382,382,398,367,508,365,397,382,382,382,382,382,382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,127,142,125,10,173,174,174,174,174,174,157,141,10,173,157,416,158,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,466,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,158,141,142,125,10,10,10,127,128,10,10,10,10,173,157,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,173,174,174,157,158,158,157,157,141,142,125,
350,350,350,350,414,367,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,127,143,158,141,125,10,10,10,10,10,10,173,157,170,10,173,432,174,174,174,157,141,142,142,142,142,142,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,127,128,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,158,141,143,143,143,143,144,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,173,174,174,157,157,157,158,141,
382,382,382,382,398,367,10,365,397,382,382,382,382,382,382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,16,10,10,127,143,159,174,157,141,125,10,10,10,10,10,10,173,186,10,10,448,10,10,10,173,157,158,158,158,158,158,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,127,143,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,158,159,160,161,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,158,157,
350,350,350,350,414,367,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,127,143,159,175,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,10,10,10,10,141,142,125,10,10,10,10,10,10,10,10,127,143,159,160,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,175,176,10,10,10,127,125,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,157,
382,382,382,382,382,383,10,381,382,382,382,382,382,382,382,382,382,382,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,173,157,170,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,141,142,142,142,125,10,10,127,142,143,159,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,144,157,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,
10,10,10,10,491,10,10,10,10,10,492,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,173,186,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,158,141,142,142,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,173,157,416,158,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,
10,10,10,349,350,350,350,350,350,350,350,350,350,350,351,10,10,10,491,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,18,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,157,158,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,142,125,10,10,127,400,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,144,125,173,432,174,157,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,365,397,382,382,382,382,382,382,382,382,398,367,10,10,507,491,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,157,125,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,173,174,174,175,465,466,466,467,10,141,125,10,10,10,10,10,10,10,10,10,10,157,416,141,142,142,143,416,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,10,141,10,10,10,173,174,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
483,10,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,141,142,142,142,142,142,10,173,141,125,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,483,10,157,109,10,10,402,403,403,403,403,405,10,10,173,432,157,158,158,159,432,433,10,10,10,402,403,403,403,403,405,10,10,10,10,10,10,10,10,10,10,157,109,10,10,10,10,173,157,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
482,483,10,365,397,382,382,382,382,382,382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,157,158,158,158,158,416,141,125,157,141,125,10,10,10,10,10,10,157,141,142,142,142,125,10,10,10,10,10,10,465,466,467,10,497,498,498,499,10,173,157,10,10,450,435,419,419,420,421,10,10,10,10,173,174,174,175,448,10,10,10,10,450,435,419,419,420,421,10,10,10,127,143,10,10,10,10,10,173,157,10,10,10,10,10,173,174,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
499,10,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,432,157,157,173,157,141,125,10,10,10,10,10,173,157,158,416,158,141,142,125,10,10,10,10,481,482,483,10,10,10,10,10,10,10,141,125,10,10,450,435,435,436,437,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,435,436,437,10,10,10,144,159,10,127,143,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,143,10,10,10,10,10,
10,10,10,365,397,382,382,382,382,382,382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,173,157,141,125,10,10,10,10,10,173,174,432,174,157,158,141,142,125,10,10,497,498,499,10,10,465,467,10,10,10,157,157,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,113,175,10,159,159,10,10,10,157,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,175,10,10,10,10,10,
350,351,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,173,174,157,158,141,142,125,10,10,10,10,17,481,483,465,467,10,173,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,10,10,159,175,10,10,10,173,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
366,367,10,365,397,382,382,382,382,382,382,382,382,398,367,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,416,141,125,10,10,10,10,481,483,481,483,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,143,159,10,10,10,10,10,10,10,10,157,109,10,10,10,434,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
366,367,10,365,413,350,350,350,350,350,350,350,350,414,367,10,10,10,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,402,403,403,403,404,405,10,10,10,10,10,10,10,10,10,10,10,10,349,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,432,157,141,125,10,10,10,497,498,482,483,10,10,157,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,158,159,175,10,10,10,10,10,10,10,10,173,141,125,10,10,450,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
366,367,10,381,382,382,382,382,382,382,382,382,382,382,383,10,10,10,173,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,419,419,420,421,10,10,10,10,10,10,10,10,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,497,498,10,10,10,173,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,143,159,174,175,10,10,10,10,10,10,10,10,10,10,157,141,125,10,10,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,435,436,437,10,351,10,10,10,10,10,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,10,10,10,10,10,10,10,10,10,157,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,143,158,159,175,176,10,10,10,127,143,10,10,10,10,10,10,173,157,141,142,10,157,158,141,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,
366,413,350,350,350,350,350,350,350,350,350,350,350,350,351,10,10,10,10,10,173,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,367,10,10,10,10,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,141,125,10,10,10,10,10,10,10,10,173,157,158,141,142,142,142,125,10,10,10,10,10,10,127,142,142,142,142,143,158,158,158,159,174,175,10,10,10,10,10,159,159,10,10,10,10,10,10,10,173,157,158,141,157,158,157,158,158,158,141,142,142,125,10,10,10,10,10,10,10,10,10,10,
366,366,366,366,366,366,366,366,366,366,366,366,366,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,367,10,10,10,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,109,10,10,10,10,10,10,10,10,10,173,174,157,158,158,158,141,142,142,142,142,142,142,143,158,158,158,158,159,174,174,174,175,176,10,10,10,10,10,10,159,175,10,10,10,10,10,10,10,10,173,174,157,157,158,157,158,158,158,157,158,158,141,142,142,125,10,10,10,10,10,10,10,
382,382,382,382,382,382,382,382,382,382,382,382,398,366,367,10,10,10,10,10,10,10,72,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,367,10,10,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,173,141,125,10,10,10,10,10,10,10,10,10,10,173,174,174,174,157,158,158,158,158,158,158,159,174,174,174,174,175,402,403,403,404,405,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,172,173,174,174,157,158,158,158,157,158,157,158,158,158,141,142,125,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,413,351,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,157,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,174,175,176,10,10,10,402,419,419,419,420,404,405,10,10,10,10,127,143,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,157,158,158,158,158,158,157,158,141,142,142,142,125,10,
405,405,405,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,175,10,10,10,10,10,10,10,398,367,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,173,141,125,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,418,435,419,436,419,420,404,405,10,10,10,159,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,158,158,157,158,157,158,158,158,141,142,
419,453,405,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,413,351,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,526,527,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,418,419,436,419,436,419,420,421,10,10,10,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,158,157,158,158,158,157,158,
10,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,10,10,10,10,10,10,10,10,10,10,10,398,413,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,141,125,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,434,435,419,436,419,419,436,437,10,10,127,143,10,10,10,359,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,158,157,158,
10,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,10,10,10,10,10,127,142,10,10,10,10,10,349,366,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,142,125,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,436,419,436,419,436,453,10,10,144,159,10,10,374,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,157,158,
453,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,141,142,142,142,142,142,143,160,10,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,436,419,436,453,10,10,10,113,175,10,10,10,10,10,10,10,10,10,10,10,10,402,403,403,404,405,10,10,10,10,127,143,10,10,359,360,361,10,10,10,173,174,
10,404,405,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,176,173,174,174,174,174,174,175,10,10,10,10,349,414,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,141,142,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,127,400,10,10,10,10,406,10,10,10,10,10,10,10,10,402,419,419,419,420,404,405,10,10,10,144,159,10,374,375,376,10,10,10,10,10,10,
453,404,404,405,10,10,10,10,10,10,10,10,365,366,367,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,176,176,176,176,176,127,10,10,10,349,414,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,158,416,158,158,141,142,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,144,10,10,10,10,10,10,10,10,10,10,10,10,10,418,435,419,436,419,420,404,405,10,127,143,175,10,390,391,392,10,10,10,10,10,10,
10,420,404,405,10,10,10,10,10,10,10,10,365,366,367,10,10,10,157,141,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,143,10,10,349,414,366,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,125,10,10,10,10,173,174,432,174,174,157,158,158,158,158,141,142,142,142,142,142,125,10,10,10,10,10,127,142,142,142,142,143,159,160,433,10,10,10,10,10,10,10,10,10,10,10,10,418,419,436,419,436,419,420,421,10,144,159,10,10,406,407,408,10,10,10,10,10,10,
434,435,420,404,405,10,10,10,10,10,10,10,365,366,367,10,10,10,173,157,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,159,161,349,414,366,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,158,416,158,158,158,158,158,158,158,158,158,158,158,158,158,158,141,125,10,10,10,10,10,10,10,10,173,174,174,174,174,157,158,158,158,158,158,141,142,142,142,142,142,143,416,158,158,158,159,175,448,10,10,10,10,10,10,10,10,10,10,10,10,10,434,435,419,436,419,419,436,437,127,143,175,10,10,10,10,10,10,10,10,10,10,10,
419,420,435,420,404,404,405,10,10,10,10,10,365,366,367,10,10,10,10,173,174,174,174,174,174,174,174,174,10,10,10,174,174,174,174,174,174,174,174,174,174,175,349,414,366,397,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,113,144,158,432,174,174,174,174,174,174,174,174,174,174,174,174,174,174,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,157,158,158,158,158,158,159,432,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,436,419,436,419,436,453,10,159,10,10,10,10,10,10,10,10,10,10,10,10,
435,436,420,10,420,404,404,405,10,10,10,10,365,366,413,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,414,366,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,143,142,142,142,142,142,142,143,160,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,142,142,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,142,142,125,10,10,450,435,436,419,436,453,10,10,175,10,10,10,10,10,10,10,10,10,10,10,10,
435,436,436,420,420,420,404,405,10,10,10,10,365,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,413,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,158,158,158,158,158,158,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,158,158,158,158,141,142,142,142,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,416,158,141,125,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,435,436,436,420,420,404,404,405,10,10,10,381,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,381,398,366,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,159,174,174,174,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,157,158,158,158,158,158,158,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,432,174,157,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,17,10,10,
419,419,420,435,436,436,420,404,405,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,449,449,449,381,398,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,174,157,158,158,141,142,125,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
435,435,419,419,419,420,420,404,405,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,397,383,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,158,141,142,142,125,10,10,10,10,10,141,142,142,142,142,142,142,10,10,125,10,10,10,10,10,10,10,10,173,174,157,141,406,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
419,435,435,435,435,436,436,420,421,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,367,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,141,125,10,10,10,10,157,158,158,416,158,158,158,10,10,141,125,10,10,10,10,10,10,10,10,466,173,157,406,406,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
435,435,435,436,450,436,436,436,405,405,10,10,10,449,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,367,10,10,10,10,141,142,142,142,142,142,142,142,143,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,128,125,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,466,10,10,10,10,173,174,174,157,10,127,128,142,10,173,174,174,432,174,174,174,161,466,157,141,125,10,10,10,10,10,10,10,466,10,173,406,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
435,435,419,419,10,436,436,452,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,367,10,10,10,157,158,158,158,158,158,158,158,158,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,143,144,144,144,141,125,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,10,127,143,144,158,141,142,142,125,10,10,10,10,177,466,173,157,141,142,125,10,10,10,10,10,10,10,10,406,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
435,419,419,421,10,450,452,10,10,10,10,10,10,10,10,10,10,10,72,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,367,10,10,10,157,158,158,158,158,158,158,158,158,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,143,144,159,160,160,160,157,141,125,10,10,10,465,466,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,160,174,157,158,158,141,125,10,10,10,10,10,10,173,157,158,141,10,10,10,127,142,142,125,10,10,406,407,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
435,419,421,10,10,10,10,10,10,453,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,413,351,10,10,157,158,158,158,158,158,158,158,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,400,143,144,159,160,175,176,10,10,173,157,141,125,10,10,481,482,482,483,10,10,10,10,10,10,10,10,10,10,10,10,465,466,10,159,175,176,10,173,174,174,157,141,142,142,125,10,10,10,10,173,174,157,141,142,142,143,416,158,141,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
435,452,10,10,10,10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,381,398,367,10,10,173,174,174,174,174,174,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,416,159,160,175,176,10,359,360,361,10,173,157,141,125,10,497,498,498,499,10,10,10,10,10,10,10,10,10,10,10,10,481,482,483,175,10,10,10,10,10,10,173,157,158,158,141,142,125,10,10,10,466,173,157,158,158,159,432,174,157,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,465,466,466,467,10,10,10,10,125,10,127,128,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,367,10,10,10,10,10,349,350,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,432,175,176,10,10,374,375,376,10,10,10,173,157,141,125,10,10,10,10,10,465,467,10,10,10,465,466,466,467,10,10,497,498,499,10,465,466,466,467,10,10,10,173,174,174,157,158,141,125,10,10,10,10,173,174,174,175,10,10,173,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,481,482,482,482,467,10,10,10,141,142,143,416,158,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,413,350,350,350,350,350,414,366,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,448,10,10,10,10,390,391,392,10,10,10,10,173,157,141,125,10,10,10,10,481,483,465,467,10,481,482,482,483,10,10,10,10,10,10,481,482,482,483,10,10,10,10,10,466,173,174,157,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,481,482,482,482,483,10,71,10,157,158,159,432,174,174,174,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,381,381,382,382,382,382,382,382,398,366,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,406,407,408,10,10,10,10,10,173,157,141,125,10,10,10,481,483,481,483,10,497,498,498,499,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,466,173,157,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,10,10,
10,481,482,482,482,482,483,10,10,10,173,174,175,448,499,10,10,173,157,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,381,382,382,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,497,498,482,483,10,10,10,10,10,10,127,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,481,482,482,482,482,483,10,10,10,10,10,10,10,10,10,10,10,173,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,497,498,10,10,10,10,10,10,10,174,159,416,158,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,466,173,157,158,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,482,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,10,465,466,467,10,10,174,159,432,174,157,158,141,142,125,10,10,10,10,465,466,466,466,10,10,10,10,173,174,157,174,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,481,482,483,10,10,449,449,449,449,10,10,10,449,449,449,449,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,481,482,483,10,10,10,175,10,466,173,174,157,158,141,142,125,10,10,497,498,498,499,10,10,10,10,10,466,173,174,157,141,142,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,349,350,350,351,10,10,449,449,71,70,10,10,10,449,449,449,70,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,10,10,10,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,497,498,499,10,10,10,10,10,465,466,466,173,174,157,158,141,142,125,10,10,10,10,10,10,10,10,10,10,10,466,173,157,158,158,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,365,366,366,367,10,10,71,69,449,449,10,10,10,68,449,68,449,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,143,144,10,10,10,158,158,158,141,125,10,10,10,10,10,10,10,10,10,127,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,402,403,404,405,10,10,10,10,10,173,157,141,125,10,10,10,10,465,466,466,466,10,10,481,482,482,483,466,173,174,157,158,141,142,125,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,365,366,397,383,10,10,71,449,449,449,10,10,10,449,449,449,449,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,143,144,159,160,10,10,10,174,174,174,157,141,125,10,10,10,10,10,10,127,128,143,416,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,418,419,420,421,10,10,10,10,10,10,173,157,141,125,10,10,10,497,498,498,499,10,10,481,482,482,483,466,466,466,173,174,157,158,141,142,125,10,10,10,10,465,466,466,467,10,10,10,10,141,125,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,466,
508,508,381,382,383,10,10,10,449,449,71,449,10,10,10,449,449,449,69,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,143,144,159,160,175,176,10,418,10,419,436,419,173,157,141,142,142,142,142,142,142,143,144,159,432,174,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,434,435,436,437,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,10,10,127,10,10,10,497,481,482,482,483,10,466,173,174,157,158,141,125,10,10,10,481,482,482,483,10,10,10,10,157,141,125,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,481,482,
10,10,10,10,10,449,10,10,449,449,70,71,10,10,10,68,449,449,68,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,144,159,160,175,176,10,10,10,418,419,436,419,436,419,173,157,158,158,158,158,158,158,159,160,175,10,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,10,127,10,10,10,10,481,482,482,483,466,467,10,466,173,174,157,141,142,125,10,497,498,498,499,10,10,10,466,157,157,141,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,481,
466,10,449,482,449,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,160,175,176,10,10,10,10,10,434,435,419,436,419,419,436,173,174,174,174,174,174,174,175,176,403,403,405,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,127,143,10,10,10,10,481,482,482,482,482,483,465,467,10,466,173,157,158,141,125,10,10,10,10,10,10,10,466,173,157,157,141,125,10,10,406,407,408,10,10,10,10,465,467,10,10,10,10,10,
482,483,127,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,176,10,10,10,10,10,10,10,450,435,436,419,436,419,436,453,10,10,10,10,10,10,10,419,419,420,421,10,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,127,143,159,161,10,10,10,10,498,498,498,481,483,481,483,10,10,10,173,174,157,141,125,10,10,10,10,10,10,10,10,173,157,157,141,125,10,10,10,10,10,10,10,10,481,483,465,467,10,10,10,
482,127,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,72,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,436,419,436,453,10,10,10,10,10,10,10,450,435,435,436,437,10,10,10,173,157,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,128,143,159,175,177,10,10,10,10,10,10,10,497,498,482,483,466,466,466,10,466,173,157,141,142,125,10,10,10,10,10,10,10,173,173,157,141,125,10,10,10,10,10,10,10,481,483,481,483,10,10,10,
142,143,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,173,157,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,144,159,175,10,10,10,10,10,10,10,466,466,467,497,498,481,482,482,482,483,465,10,173,157,416,141,125,10,10,10,10,10,10,10,173,173,157,141,142,125,10,10,10,10,10,497,498,482,483,10,10,10,
158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,160,175,10,10,465,466,466,467,10,10,10,10,483,10,10,10,481,482,482,483,481,483,466,173,432,157,141,125,10,10,10,10,10,10,10,173,173,157,158,141,125,10,10,10,10,10,497,498,10,10,10,10,
174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,142,142,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,176,10,10,10,481,482,482,483,10,10,10,10,10,10,10,10,10,481,482,483,481,482,482,483,466,173,157,141,125,10,10,10,10,10,10,10,173,173,158,157,141,125,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,416,158,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,10,10,10,481,483,481,482,482,482,483,10,173,157,141,125,10,10,10,10,10,10,10,173,174,173,157,141,142,125,10,10,10,10,10,465,466,466,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,432,174,174,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,466,466,466,10,10,10,10,497,499,497,481,482,482,483,10,10,173,157,141,125,10,10,10,10,10,10,10,10,173,173,157,158,141,125,10,10,10,10,481,482,482,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,482,483,10,10,10,10,10,10,497,498,465,466,466,466,10,173,157,141,10,10,10,10,10,10,10,10,10,173,173,158,157,141,125,10,10,10,497,498,498,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,483,10,10,10,10,10,10,10,10,497,498,498,499,10,10,173,141,125,10,10,10,10,10,10,10,10,10,173,174,173,157,141,125,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,10,10,10,10,10,10,10,10,466,466,466,466,157,157,10,10,10,10,10,10,10,10,10,10,10,173,173,157,158,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,483,10,10,465,466,466,467,10,10,10,10,10,482,482,482,482,173,157,10,10,10,465,466,466,467,10,10,10,10,10,173,173,141,125,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,499,10,10,481,482,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,483,10,10,10,10,10,10,173,157,141,125,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,361,10,127,128,128,125,10,10,10,10,10,10,127,128,128,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,173,157,141,125,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,416,144,141,125,10,10,10,127,128,143,416,144,141,125,374,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,466,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,173,157,158,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,432,160,157,141,142,142,142,143,144,159,432,160,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,173,141,125,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,175,176,10,173,157,158,158,158,159,160,175,448,176,173,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,349,350,351,10,173,174,174,174,175,176,349,350,351,10,173,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,143,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,158,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,175,365,366,367,10,10,10,10,10,10,10,365,366,367,10,10,173,157,141,142,125,10,10,10,10,10,10,10,10,127,142,142,142,142,143,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,158,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,483,465,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,141,125,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,10,365,366,367,10,10,10,10,10,10,10,365,366,367,10,10,10,173,157,158,141,125,10,127,128,142,142,142,142,143,416,158,158,158,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,416,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,483,481,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,467,10,10,10,10,10,10,10,157,158,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,175,10,365,366,367,10,10,10,10,10,10,10,365,366,367,10,10,10,10,173,174,157,141,142,143,144,158,158,158,158,159,432,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,143,159,432,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,482,483,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,483,10,10,10,10,10,10,10,173,158,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,366,413,350,350,350,350,350,350,350,414,366,367,10,10,10,10,10,10,173,157,158,159,160,174,174,174,174,175,448,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,127,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,173,141,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,366,366,366,366,366,366,366,366,366,366,366,367,10,10,10,10,10,10,10,173,174,175,176,177,10,10,10,349,350,351,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,159,159,158,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,402,419,419,419,420,404,171,10,10,381,382,382,382,382,382,382,382,382,382,398,366,367,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,127,143,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,418,435,419,436,419,420,404,405,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,406,407,408,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,418,419,436,419,436,419,420,421,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,434,435,419,436,419,419,436,437,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,159,175,10,10,10,402,403,403,403,403,405,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,450,435,436,419,436,419,419,453,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,450,435,419,419,420,421,10,10,10,10,10,10,10,402,403,403,403,403,405,10,10,10,10,10,10,10,10,465,466,466,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,450,10,10,10,436,453,10,10,127,128,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,450,435,435,436,437,10,10,10,10,10,10,10,450,435,419,419,420,421,10,10,10,10,10,10,10,10,497,498,498,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,453,10,127,128,143,416,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,144,159,159,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,450,435,435,436,437,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,93,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,159,432,161,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,365,366,367,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,171,159,160,175,448,349,350,350,350,350,350,350,350,414,366,413,350,350,350,350,350,350,350,350,350,350,350,350,350,350,350,414,366,367,10,10,10,10,10,10,10,10,10,10,144,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,10,10,10,10,10,10,10,10,10,481,482,483,10,10,10,10,127,128,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,171,175,176,10,10,365,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,366,367,10,10,10,10,10,10,10,10,10,10,144,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,10,10,10,10,10,10,10,10,10,497,498,499,10,10,10,127,143,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,381,382,382,10,10,10,10,10,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,382,383,10,10,10,10,10,10,10,10,10,127,143,175,10,10,10,10,402,403,403,404,405,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,10,10,10,127,143,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,10,10,10,10,402,419,419,419,420,404,405,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,144,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,160,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,10,10,10,10,418,435,419,436,419,420,404,405,10,10,10,10,10,10,127,143,10,10,10,10,10,10,390,391,392,10,10,127,143,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,418,419,436,419,436,419,420,421,10,10,10,10,10,10,144,159,10,10,10,10,10,10,406,407,408,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,416,144,158,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,10,10,10,10,10,434,435,419,436,419,419,436,437,10,10,10,10,127,142,143,175,10,10,10,10,10,10,10,10,10,127,143,159,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,402,403,404,405,10,10,10,10,171,159,432,160,174,174,174,157,141,142,142,142,142,142,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,175,10,10,10,10,10,450,435,436,419,436,419,436,453,10,10,10,127,143,158,159,10,10,10,10,10,10,10,10,10,127,143,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,399,400,143,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,418,419,420,421,10,10,10,10,171,175,448,176,10,10,10,173,157,158,158,158,158,158,158,158,158,141,125,10,10,10,10,10,10,402,403,403,403,403,405,10,10,10,10,10,10,10,127,143,159,159,175,10,10,10,10,10,10,10,450,435,436,419,436,453,10,10,10,127,143,159,174,175,10,10,10,10,10,10,10,127,142,143,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,127,415,416,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,434,435,436,437,10,10,10,10,171,10,10,10,10,10,10,10,173,174,174,174,174,174,174,174,174,157,141,125,10,10,10,10,10,450,435,419,419,420,421,10,10,10,10,10,127,142,143,159,159,175,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,127,143,159,175,176,10,10,10,10,10,10,10,127,143,158,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,431,432,175,10,349,350,351,10,10,56,56,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,171,10,10,876,876,876,10,10,10,10,10,418,435,419,436,419,420,173,157,141,125,10,10,10,10,10,450,435,435,436,437,10,10,10,10,127,143,158,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,175,10,10,10,10,10,10,10,127,142,143,159,158,159,175,10,10,10,10,10,10,465,466,466,10,10,10,10,10,10,159,447,448,10,10,365,366,413,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,187,10,10,876,876,876,10,10,10,10,10,418,419,436,419,436,419,420,173,157,141,125,10,10,127,128,10,450,451,452,453,10,10,10,127,143,159,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,175,10,10,10,10,10,10,127,142,143,158,159,159,174,175,10,10,10,10,10,10,10,481,482,482,10,10,10,10,10,127,143,68,10,10,10,381,398,366,366,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,203,10,10,876,876,10,10,10,10,10,10,434,435,419,436,419,419,436,437,173,157,141,142,142,143,144,10,10,10,10,10,10,127,142,143,159,159,174,175,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,159,159,10,10,10,10,10,10,127,143,158,159,158,159,175,176,10,10,10,10,10,10,10,10,497,498,498,10,10,10,10,10,159,159,10,10,10,10,10,381,382,382,383,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,876,876,10,10,10,10,10,10,450,435,436,419,436,419,436,453,10,173,157,158,158,159,160,161,10,10,127,142,142,143,158,159,159,175,176,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,127,143,175,10,10,10,10,127,142,143,159,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,175,10,10,10,10,10,10,10,10,10,56,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,436,419,436,453,10,10,10,173,174,174,175,176,127,142,142,143,158,158,159,158,159,175,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,127,143,159,10,10,10,10,127,143,158,159,159,174,175,465,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,10,10,10,10,10,10,10,10,10,10,10,18,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,127,142,142,143,158,158,159,158,158,159,174,175,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,127,143,159,416,159,175,176,10,481,483,465,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,175,10,10,10,10,10,10,10,10,10,10,53,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,143,158,158,159,158,158,159,174,174,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,127,142,143,159,159,432,175,10,10,10,481,483,481,483,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,175,10,10,10,10,10,10,10,10,10,10,10,10,68,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,128,10,10,10,10,10,10,10,10,127,142,142,143,158,158,159,158,158,159,174,174,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,143,159,175,10,127,142,143,158,159,159,175,176,10,10,10,10,497,498,482,483,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,142,142,142,142,142,142,143,144,144,144,10,10,10,10,127,142,142,142,143,158,158,159,158,158,159,174,174,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,143,158,158,159,175,10,127,143,158,159,158,159,175,10,10,10,10,10,10,10,497,498,10,10,10,10,10,127,142,142,142,142,142,142,142,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
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2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,5,5,5,5,5,5,2,2,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,3,3,3,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,5,2,2,2,2,2,2,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,2,3,2,2,2,2,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,5,2,2,2,2,2,2,2,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,5,2,2,0,2,2,2,2,2,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,3,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,2,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,2,2,3,3,3,3,3,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,2,2,2,3,3,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,2,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,3,3,3,3,3,2,2,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,3,2,3,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,2,2,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,3,3,3,3,3,3,3,3,2,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,3,3,3,3,2,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,2,2,2,2,2,2,2,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,2,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,2,2,2,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,3,3,3,2,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,2,3,3,3,2,3,3,3,3,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,2,2,2,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,2,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,3,3,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,2,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,2,3,3,3,3,2,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,2,3,3,3,3,3,3,2,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,2,2,3,3,3,3,2,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,2,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,2,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,0,0,0,0,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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