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411,411,998,998,998,1502,998,998,998,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,158,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,174,142,142,142,142,142,142,142,158,158,158,158,158,158,158,158,158,158,174,10,10,10,10,10,10,174,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,
411,411,998,998,998,998,998,998,998,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,158,158,158,158,158,158,158,174,174,174,174,174,174,174,174,174,174,174,10,10,10,10,10,10,174,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,159,159,175,10,10,18,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,142,142,143,158,
411,411,998,998,998,998,998,998,998,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,174,174,174,174,174,174,174,10,10,10,10,10,10,402,403,403,403,403,405,10,10,10,10,10,174,10,10,10,10,10,10,10,10,10,173,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,159,159,175,10,10,10,10,10,10,10,10,10,10,108,10,10,10,10,10,10,10,10,10,10,127,143,158,158,158,158,158,159,174,
411,411,1298,1299,1299,1299,1299,1299,1300,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,158,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,419,419,420,421,10,10,10,10,10,174,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,108,10,10,10,10,10,10,10,10,10,127,143,159,174,174,174,174,174,175,10,
411,411,1315,1366,1315,1365,1315,1366,1315,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,157,10,10,10,10,10,10,10,10,10,10,142,142,142,142,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,435,436,437,10,10,10,10,10,174,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,159,159,159,10,10,10,10,10,10,10,10,10,10,10,10,108,10,10,10,10,10,10,10,10,10,10,159,175,10,10,10,10,10,142,142,
411,411,1315,1315,1315,1315,1315,1315,1315,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,157,10,10,10,10,10,10,10,10,10,142,142,158,158,158,142,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,142,142,174,174,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,142,142,141,143,143,159,159,159,159,159,161,10,10,10,10,10,10,10,10,10,10,10,108,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,1315,1315,1315,1315,1315,1315,1315,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,174,157,10,10,10,10,10,10,10,10,10,142,158,174,174,174,158,142,142,142,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,158,158,158,174,10,10,10,10,10,10,10,10,10,10,174,10,125,127,143,158,158,158,158,158,157,159,159,159,159,159,159,175,177,10,10,10,10,10,10,10,10,10,10,10,93,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,10,387,1331,1331,1331,1331,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,158,10,10,10,10,10,10,10,10,10,142,174,10,10,10,174,158,158,158,158,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,174,174,174,174,10,10,10,10,10,10,10,10,127,128,158,142,142,143,159,174,174,174,174,174,157,159,159,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,108,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,10,10,10,10,10,10,10,10,10,142,10,10,10,10,10,174,174,174,174,158,142,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,10,10,10,10,10,10,10,10,10,10,127,142,142,143,144,158,158,158,159,175,10,10,10,10,10,157,159,159,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,158,10,10,10,10,10,10,10,10,142,10,10,10,10,10,10,10,10,10,174,158,158,142,142,142,142,142,142,142,142,142,142,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,174,10,10,10,10,10,10,10,10,10,127,143,158,158,159,160,174,174,174,175,10,10,10,10,10,10,173,175,159,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,128,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,10,10,10,10,10,10,10,142,158,10,10,10,10,10,10,10,10,10,10,174,174,158,158,158,158,158,158,158,158,158,158,158,142,142,142,142,142,142,142,142,142,142,142,142,142,142,142,158,174,10,10,10,10,10,10,10,10,127,143,159,0,174,175,176,10,10,10,402,403,403,403,403,405,421,421,421,159,175,177,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,142,142,142,10,10,10,10,10,10,127,128,10,144,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,174,10,10,142,142,142,142,142,174,10,10,10,10,10,10,10,10,10,10,10,10,174,174,174,174,174,174,174,174,174,174,174,158,158,158,158,158,158,158,158,158,158,158,158,158,158,158,174,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,450,435,419,419,420,421,10,10,10,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,158,158,10,10,10,10,10,127,143,144,142,160,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,142,142,158,158,158,10,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,174,174,174,174,174,174,174,174,174,174,174,174,174,174,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,450,435,435,436,437,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,108,10,10,10,10,10,10,10,10,173,174,174,174,10,10,127,128,128,143,159,160,158,176,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,158,158,174,174,174,174,174,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,466,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,144,159,159,176,10,10,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,174,174,174,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,127,142,142,142,142,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,143,159,144,144,159,159,10,10,10,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,127,143,158,158,158,158,175,125,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,142,142,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,128,143,144,144,159,159,144,144,159,175,177,10,10,
411,411,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,142,142,125,10,10,10,10,10,10,10,10,127,143,159,174,174,174,174,173,141,125,10,10,10,10,10,10,10,10,10,10,10,127,128,159,158,158,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,142,142,142,142,142,143,144,144,144,159,144,144,159,159,160,160,175,10,10,10,10,
411,411,998,998,998,998,998,1502,998,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,127,142,142,142,142,142,125,10,10,10,127,143,158,158,158,158,158,141,142,142,142,125,10,10,127,142,143,159,175,176,10,10,10,10,173,141,125,10,111,10,10,10,10,10,10,127,128,142,159,159,158,158,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,158,158,158,158,159,144,144,144,159,144,144,159,175,176,176,10,10,10,10,10,
411,411,998,998,998,998,998,998,998,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,158,158,158,158,158,141,142,142,142,143,159,174,174,174,174,174,157,158,158,158,141,142,142,143,158,159,175,10,10,10,10,10,10,10,173,141,10,10,127,143,142,142,142,142,142,159,158,159,159,174,174,10,113,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,158,158,158,158,159,144,144,144,159,160,160,175,10,10,10,10,10,10,10,10,
411,411,998,998,998,998,998,998,998,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,174,174,174,174,174,157,158,158,158,159,175,10,10,10,10,10,173,174,174,174,157,158,158,159,174,175,10,10,10,10,10,10,10,10,10,173,10,158,143,159,158,158,158,158,158,159,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,158,158,158,158,159,160,160,160,175,176,176,10,10,10,10,10,10,10,10,10,
411,411,1298,402,402,402,402,402,1300,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,10,10,10,10,10,173,174,174,174,175,10,10,10,10,10,10,10,10,10,10,173,174,174,175,465,466,466,466,10,10,10,10,10,10,10,10,10,143,159,159,158,158,158,158,174,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,175,176,176,176,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,1315,1366,1315,1365,1315,1366,1315,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,10,10,10,10,10,10,143,159,159,159,174,174,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,1315,1315,1315,1315,1315,1315,1315,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,159,175,10,10,10,10,10,127,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,1315,1315,1315,1315,1315,1315,1315,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,141,142,159,159,175,10,10,10,10,10,127,143,158,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,10,387,1331,1331,1331,1331,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,157,158,159,175,10,10,10,10,10,127,143,159,174,157,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,10,411,411,411,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,175,173,174,175,10,10,10,10,10,127,143,159,175,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,157,141,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,142,142,125,10,10,10,127,143,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,142,142,142,143,159,175,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,157,157,141,10,10,10,10,10,125,10,10,127,142,142,143,158,158,158,158,174,141,142,142,142,143,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,158,158,158,158,159,175,113,10,10,10,10,10,10,10,10,113,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,157,157,157,141,10,10,10,10,141,142,142,143,158,158,159,174,174,174,174,174,157,158,158,158,159,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,174,174,174,174,175,10,10,10,10,10,10,10,10,10,10,10,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,157,157,157,157,10,10,10,10,157,158,158,159,174,174,175,10,10,10,10,10,157,158,158,158,159,175,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,142,142,142,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,157,157,157,10,10,10,10,173,174,174,175,10,10,10,10,10,10,10,10,108,174,174,174,175,10,177,10,10,10,10,10,10,10,127,10,10,10,10,10,10,10,10,10,142,142,143,158,158,158,158,159,175,10,10,10,10,10,10,127,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,141,10,10,10,10,10,127,142,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,157,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,10,10,10,10,10,10,10,10,143,158,158,159,174,174,174,174,175,10,10,10,10,10,10,10,113,161,10,10,10,10,127,143,142,142,142,142,143,142,142,125,10,10,127,143,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,127,143,158,141,142,143,175,10,10,10,10,10,10,10,10,10,142,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,141,10,10,10,10,127,128,128,143,159,10,10,10,10,10,113,10,143,159,174,174,175,10,10,10,10,10,10,10,10,10,10,10,127,10,10,10,10,10,127,143,159,158,158,158,157,159,158,158,141,125,127,143,159,159,10,10,10,491,10,10,10,10,10,10,10,10,10,10,10,10,173,10,10,10,10,127,143,159,174,157,158,159,175,10,10,10,10,10,10,10,10,142,158,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,157,10,10,10,127,143,144,144,159,175,10,10,10,10,10,113,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,113,161,10,10,10,127,143,159,159,158,158,158,157,159,158,158,157,141,142,159,159,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,173,174,175,10,10,10,10,10,10,10,10,10,158,174,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,125,10,127,143,159,160,160,175,10,10,10,10,10,10,113,159,175,10,10,10,10,10,10,359,360,361,10,10,10,10,10,127,10,10,10,127,142,143,159,159,159,158,158,158,157,159,158,158,157,157,158,159,159,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,10,
411,411,411,411,411,411,411,463,464,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,142,143,159,175,176,176,10,10,10,10,10,10,10,113,175,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,113,161,10,127,143,158,159,159,159,159,174,174,174,157,159,174,174,157,157,158,159,159,175,177,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,411,411,411,411,411,479,480,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,159,175,10,10,10,10,10,10,10,10,10,141,143,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,127,10,10,127,143,159,158,159,159,159,175,10,10,10,173,175,10,10,173,157,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,411,411,411,411,411,411,411,411,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,175,10,10,466,466,466,10,10,10,10,10,157,159,10,10,10,10,10,10,10,406,407,408,10,10,10,10,127,128,161,127,143,159,159,158,159,159,175,10,10,10,10,10,10,10,10,10,173,174,175,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,239,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,142,125,10,10,10,10,10,10,10,498,498,499,10,127,143,128,125,173,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,113,159,142,142,159,159,159,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,491,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,219,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,142,158,157,141,125,10,10,10,10,10,10,10,10,10,127,143,159,144,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,158,158,159,159,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,158,158,158,157,158,141,125,10,10,10,10,10,10,10,10,143,159,159,160,157,141,0,0,0,0,0,10,10,10,10,10,10,10,10,127,143,159,159,158,158,159,159,175,10,10,10,127,143,142,142,142,142,142,142,142,142,141,125,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,156,157,141,142,142,142,142,142,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,143,159,158,158,159,157,158,157,142,142,142,142,125,10,10,127,143,159,159,175,176,173,157,158,158,158,158,158,141,141,10,10,10,10,10,127,143,159,159,159,158,158,159,175,10,10,10,127,143,159,158,158,158,158,158,158,158,158,157,141,125,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,158,158,158,158,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,402,403,403,403,403,405,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,143,159,159,158,158,159,157,158,157,158,158,158,157,142,142,142,143,159,159,175,10,10,10,173,174,174,174,174,143,157,157,141,10,10,10,127,143,159,159,159,159,174,174,175,10,127,128,142,143,159,159,158,158,158,158,158,158,158,158,157,157,141,125,10,10,10,10,10,10,10,173,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,142,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,419,419,420,421,10,10,10,10,10,10,390,391,392,10,10,10,10,10,142,159,159,159,174,174,175,173,174,157,158,158,158,157,158,158,158,159,159,175,10,10,10,10,10,10,10,10,143,159,174,174,157,142,142,142,142,158,159,159,159,175,10,10,10,127,143,144,158,159,159,159,174,174,174,174,174,174,174,174,157,157,157,142,142,141,125,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,158,
371,371,371,371,371,371,371,371,371,371,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,435,436,437,10,10,10,10,10,10,406,407,408,10,10,10,10,10,158,159,159,175,10,10,10,10,10,173,174,174,174,157,158,158,158,159,175,466,466,467,10,466,466,10,466,143,159,159,158,158,157,158,158,158,158,158,159,159,175,10,10,10,127,142,159,144,158,159,159,175,10,10,10,10,10,10,10,10,173,157,157,158,158,157,141,125,10,10,10,10,10,10,10,10,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,128,128,128,
387,387,387,387,387,387,387,387,387,387,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,159,175,10,10,10,10,10,10,10,10,10,10,173,174,174,174,175,10,10,10,10,466,466,466,466,143,159,159,159,158,158,158,158,158,158,158,158,159,175,10,10,10,10,113,158,159,158,158,159,175,10,10,10,10,10,10,10,10,10,10,173,157,158,158,157,157,141,10,10,10,10,10,10,10,10,173,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,128,143,160,160,160,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,159,159,159,174,174,174,174,174,174,174,174,175,10,10,10,10,10,113,158,159,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,157,157,10,10,10,10,10,10,10,10,10,173,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,128,143,160,175,176,142,174,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,158,157,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,127,113,159,159,159,159,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,113,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,10,10,10,402,403,403,403,403,405,10,173,157,10,10,10,10,10,10,10,10,10,141,142,142,142,142,142,142,10,160,175,176,10,10,142,157,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,93,10,10,10,10,10,10,10,10,10,10,143,158,174,157,141,125,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,127,143,159,159,159,159,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,10,10,10,10,10,10,10,10,173,157,10,10,10,450,435,419,419,420,421,10,10,173,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,174,10,10,10,10,10,10,142,157,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,159,174,416,157,157,141,125,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,127,143,159,175,159,159,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,375,376,10,10,10,10,10,10,10,10,10,173,10,10,10,10,450,435,435,436,437,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,159,174,432,157,157,157,141,125,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,450,451,452,453,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,173,157,157,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,127,142,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,158,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,159,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,159,10,10,10,10,10,173,157,157,157,141,125,10,10,10,10,10,10,10,10,10,127,142,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,174,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,159,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,127,143,158,159,175,10,10,10,10,10,173,157,157,157,141,125,10,10,10,10,10,10,127,142,143,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,159,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,113,159,158,10,10,10,10,10,10,10,10,173,157,157,157,141,125,10,10,10,127,142,143,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,128,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,402,403,403,403,10,405,10,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,159,10,10,10,10,10,10,10,10,10,157,141,125,10,10,10,113,159,174,175,10,10,10,10,10,10,10,10,173,157,157,157,141,142,10,127,143,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,143,144,144,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,435,419,419,10,421,10,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,142,
998,998,998,998,998,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,159,10,10,10,10,10,10,10,10,10,157,157,141,125,10,10,113,175,10,10,10,10,10,10,10,10,10,10,10,173,157,157,157,158,158,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,128,128,128,143,159,144,144,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,437,10,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,10,
998,998,998,998,998,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,157,142,10,10,10,10,10,10,10,10,157,157,157,141,142,142,10,10,10,10,10,359,360,361,10,10,10,10,10,10,173,157,174,174,174,174,175,10,10,10,10,10,10,141,142,10,10,10,10,10,10,10,10,10,10,143,144,144,144,159,159,144,144,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,450,451,10,453,10,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
998,998,998,998,998,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,173,158,10,10,10,10,10,10,10,10,173,157,157,157,158,158,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,173,174,125,10,10,10,10,10,10,10,10,10,157,158,10,10,10,10,10,10,10,10,127,143,159,144,144,144,159,159,160,160,160,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,158,
1204,1204,1204,1204,1204,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,174,142,10,10,10,10,10,10,10,10,173,157,157,158,158,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,173,141,125,10,10,10,10,10,10,10,10,173,174,10,10,10,10,10,10,10,143,143,159,159,144,144,144,159,175,176,176,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,128,400,128,128,128,128,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,174,
1220,1161,1220,1175,1220,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,174,158,142,10,10,10,10,10,10,10,10,173,157,158,158,161,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,158,144,144,159,159,160,160,160,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,128,128,128,128,128,128,128,128,143,144,144,144,416,144,144,144,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,411,411,411,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,174,174,158,141,142,142,142,142,142,10,10,10,173,158,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,127,143,144,174,144,144,159,175,176,176,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,144,144,144,144,144,144,144,159,160,160,160,432,160,160,160,160,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,411,411,411,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,157,157,174,157,158,158,158,158,158,141,142,10,10,10,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,142,125,10,10,10,10,10,10,10,10,127,143,159,160,174,160,160,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,160,160,160,160,160,160,160,160,175,176,176,176,448,176,176,176,176,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,411,411,411,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,157,157,157,174,174,174,174,174,174,157,158,10,10,173,157,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,141,142,142,142,125,10,10,127,142,143,159,175,176,10,176,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,176,176,176,176,176,176,176,176,10,10,10,10,10,10,10,10,10,109,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
411,411,411,411,411,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,173,157,157,157,10,10,10,10,10,173,174,10,10,10,173,174,174,157,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,158,141,142,142,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,173,157,157,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,141,125,10,142,124,125,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,157,158,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,156,157,125,10,10,10,10,141,10,10,10,10,10,10,10,10,173,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
998,998,998,998,998,998,998,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,141,142,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,175,465,466,466,467,10,10,10,10,10,10,10,10,127,128,142,142,142,142,142,142,142,142,142,142,142,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,10,10,10,10,10,157,141,10,10,10,10,10,10,10,10,157,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
998,998,998,998,998,998,998,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,158,158,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,158,158,158,158,158,158,158,158,158,158,158,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,10,10,10,10,10,10,10,173,157,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
998,998,998,998,998,998,998,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,10,173,157,124,142,142,142,142,142,142,142,142,142,142,142,142,141,141,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,160,174,174,174,174,174,174,174,174,174,174,174,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,157,10,10,10,10,10,10,10,10,173,157,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,
1204,1204,1204,1204,1204,1204,1204,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,143,158,158,416,158,158,158,158,158,158,158,158,158,157,157,142,142,142,142,142,125,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,141,10,10,10,10,10,10,10,10,173,174,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,
1161,1220,1163,1161,1178,1220,1160,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,124,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,174,174,432,174,174,174,174,174,174,174,174,174,157,157,158,158,158,158,158,158,142,125,10,10,127,142,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,10,10,10,10,10,10,10,10,10,10,173,157,141,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,411,411,411,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,142,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,174,174,158,158,141,142,142,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,411,411,411,10,10,10,10,223,224,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,142,142,142,142,142,142,10,10,10,498,498,499,10,10,127,142,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,411,411,411,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,157,157,158,158,158,158,158,141,10,10,10,10,10,10,127,143,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,173,157,157,141,125,10,10,10,10,10,10,10,10,10,157,125,10,10,10,10,10,10,10,10,10,10,
10,10,10,411,411,411,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,157,157,157,157,157,157,157,157,141,125,10,10,10,127,143,159,174,175,465,466,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,125,10,10,10,10,10,10,10,157,157,157,141,125,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,127,128,10,
411,411,411,411,411,411,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,157,157,157,157,157,157,157,157,125,10,127,142,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,157,141,125,10,10,10,10,10,10,10,156,157,141,125,10,10,10,10,127,143,144,10,
411,411,411,411,411,411,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,158,158,157,157,157,157,141,142,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,157,141,125,10,10,10,10,10,10,10,173,157,141,10,10,127,128,143,159,160,10,
411,411,411,411,411,411,10,10,10,10,223,224,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,157,157,157,157,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,157,158,10,10,10,10,10,10,10,10,173,157,141,142,143,144,159,175,176,10,
10,10,10,10,10,10,10,10,10,10,255,256,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,158,157,174,175,465,466,466,467,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,173,157,157,141,125,10,10,10,10,10,10,10,10,173,157,158,159,160,175,176,10,10,
10,10,10,10,10,10,10,10,10,10,371,362,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,173,157,157,158,10,10,10,10,10,10,10,10,10,173,174,175,176,10,10,10,10,
355,355,355,355,355,355,355,355,371,371,371,362,10,359,360,361,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,10,10,10,10,10,10,10,10,10,10,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
371,371,371,371,371,371,371,371,371,371,371,362,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
387,387,387,387,387,387,387,387,387,387,387,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,17,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,15,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,157,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
350,350,350,350,350,350,350,350,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,10,10,10,10,10,10,157,157,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,
382,382,382,382,382,382,382,398,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,173,157,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,158,141,142,142,125,10,10,10,10,10,10,10,10,10,
350,350,350,350,350,350,350,414,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,141,125,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,157,158,157,158,158,141,142,142,125,10,10,10,10,10,10,
382,382,382,382,382,382,382,398,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,141,142,142,142,142,142,125,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,125,10,10,10,10,406,407,408,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,157,158,158,157,158,158,141,125,10,10,10,10,10,
350,350,350,350,350,350,350,414,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,158,158,158,158,141,125,10,157,141,142,142,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,157,109,10,10,10,10,10,10,10,359,360,361,10,10,10,10,173,174,157,158,158,157,158,158,157,141,125,10,10,142,142,
382,382,382,382,382,382,382,398,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,359,360,361,10,10,10,10,10,10,10,10,127,142,125,10,173,174,174,174,174,174,157,141,10,173,157,158,158,158,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,465,466,466,466,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,158,141,142,125,10,10,10,127,128,10,10,10,10,173,157,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,173,174,174,157,158,158,157,157,141,142,125,158,158,
350,350,350,350,350,350,350,414,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,374,375,376,10,10,10,10,10,10,10,10,127,143,158,141,125,10,10,10,10,10,10,173,157,170,10,173,174,174,174,174,157,141,142,142,142,142,142,142,10,10,10,10,10,10,10,10,10,497,498,498,499,10,10,127,128,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,157,158,141,143,143,143,143,144,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,10,10,10,10,10,10,173,174,174,157,157,157,158,141,174,174,
382,382,382,382,382,382,382,398,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,390,391,392,10,10,10,10,16,10,10,127,143,159,174,157,141,125,10,10,10,10,10,10,173,186,10,10,10,10,10,10,173,157,158,158,158,158,158,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,127,143,144,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,158,159,160,161,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,158,157,141,125,
350,350,350,350,350,350,350,414,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,406,407,408,10,10,10,10,10,10,127,143,159,175,10,173,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,174,10,10,10,10,141,142,125,10,10,10,10,10,10,10,10,127,143,159,160,161,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,175,176,10,10,10,127,125,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,158,157,157,141,
382,382,382,382,382,382,382,382,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,173,157,170,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,157,158,141,142,142,142,125,10,10,127,142,143,159,175,176,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,144,144,157,141,142,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,157,157,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,173,186,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,157,158,158,158,141,142,142,143,158,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,144,173,157,416,158,141,142,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,157,
350,350,350,350,351,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,18,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,174,174,174,157,158,158,159,174,175,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,141,142,125,10,10,127,400,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,159,144,125,173,432,174,157,158,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,157,
382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,157,125,10,10,10,10,10,10,10,10,125,10,10,10,10,10,10,10,10,10,10,10,173,174,174,175,465,466,466,467,10,141,125,10,10,10,10,10,10,10,10,10,10,157,416,141,142,142,143,416,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,159,175,10,141,10,10,10,173,174,157,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,173,
350,350,350,414,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,141,142,142,142,142,142,10,173,141,125,10,10,10,10,10,10,10,141,125,10,10,10,10,10,10,10,10,10,10,10,10,10,10,481,482,482,483,10,157,109,10,10,402,403,403,403,403,405,10,10,173,432,157,158,158,159,432,433,10,10,10,402,403,403,403,403,405,10,10,10,10,10,10,10,10,10,10,157,109,10,10,10,10,173,157,158,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
382,382,382,398,367,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,127,143,159,175,10,10,10,10,10,10,10,10,10,10,10,157,158,158,158,158,416,141,125,157,141,125,10,10,10,10,10,10,157,141,142,142,142,125,10,10,10,10,10,10,465,466,467,10,497,498,498,499,10,173,157,10,10,450,435,419,419,420,421,10,10,10,10,173,174,174,175,448,10,10,10,10,450,435,419,419,420,421,10,10,10,127,143,10,10,10,10,10,173,157,10,10,10,10,10,173,174,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
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2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,0,2,2,0,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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