[[0,1,2,8,12,13,14,16,28,29,30,38,40,42,56,66,132,133,134,135,144,146,147,150,204,290,302,336,418,419,426,429,434,435,440],[3,10,36,37,41,51,65,104,118,136,142,145,149,151,152,192,199,222,223,232,238,254,291,337,347,352,404,420,421,427,431,432,436,444,446,480,481,482,485,486,487,498,506,524],[4,9,11,15,31,35,57,61,78,137,165,200,233,235,236,247,270,296,298,303,305,309,310,312,314,315,350,353,365,373,412,428,430,457,472,500],[39,63,67,148,153,178,224,226,237,239,255,292,299,304,345,348,366,372,374,405,414,437,447,458,473,501,504,507,511,532,534,536],[5,23,24,32,43,54,58,76,82,83,162,166,177,206,225,249,265,300,306,311,338,346,351,354,358,370,376,408,411,417,422,441,448,474,475,483,484,492,496,499,502,505],[6,64,68,80,84,117,119,120,121,125,127,139,143,154,168,193,208,219,231,246,256,271,272,313,316,341,349,369,380,406,415,423,433,442,445,460,476,479,488,489,497,509,512,518,519,522,523,525,531],[33,62,74,77,130,138,159,169,172,173,175,176,185,196,201,207,209,215,216,217,218,228,230,234,248,250,293,321,339,342,355,356,359,360,361,367,368,377,378,379,384,385,386,389,390,399,402,407,424,443,456,468,469,493,495,510,517,520,526,533,537],[25,49,53,69,96,98,102,103,105,111,112,113,140,141,160,163,167,174,203,221,240,253,266,294,297,301,307,332,334,340,383,387,388,391,392,397,413,416,438,439,449,453,477,508,513,527,528,535],[44,52,55,81,88,89,90,100,101,115,126,128,129,131,170,179,180,194,214,227,257,258,264,268,269,324,327,335,343,344,363,371,375,381,382,393,400,409,455,461,490,494,514,515],[7,46,50,59,85,94,95,99,155,161,181,186,189,191,202,210,229,241,242,261,267,287,295,330,333,362,394,410,454,462,463,464,467,470,471,521,529],[60,79,86,93,106,122,123,124,156,182,187,188,190,205,220,243,262,274,275,276,283,288,308,317,331,401,425,459,465,466,478,491,503,516,530],[45,47,48,70,71,87,91,97,107,109,110,116,164,195,211,212,251,252,278,279,282,286,319,322,329,357,395,450],[17,18,27,72,75,92,114,213,244,245,259,260,277,280,285,318,323,325,396,451],[19,20,22,26,34,73,108,157,158,171,183,197,273,320,326,328,364,403,452],[21,184,198,263,281,284,398],[289]]