[[0,2,3,4,7,9,10,11,13,14,15,16,17,18,19,20,21,24,25,26,31,32,34,35,36,37,38,39,41,45,47,48,50,51,52,53,54,55,56,57,58,59,63,65,68,69,70,71,72,73,74,75,76,77,78,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,101,102,103,105,106,108,109,110,111,112,114,115,119,120,121,122,123,125,126,127,128,129,130,132,137,138,139,140,141,145,158,159,160,161,162,164,165,166,167,168,170,171,173,174,177,184,185,186,187,188,189,190,195,197,198,199,204,205,206,207,208,212,213,214,216,219,220,223,231,232,233,234,235,236,237,238,240,242,243,244,245,246,247,248,249,250,254,255,257,260,261,262,263,269,274,275,278,285,286,288,290,291,292,293,294,295,296,297,300,302,303,304,305,306,307,308,309,310,311,312,313,314,316,319,322,328,329,330,331,333,334,335,340,341,343,346,347,348,349,350,353,354,358,362,363,367,390,391,392,393,396,397,402,403,404,405,406,407,408,410,412,413,414,415,416,417,418,420,421,422,425,426,427,432,433,434,435,436,437,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,456,457,458,461,462,463,464,465,466,467,468,469,472,473,474,475,478,479,480,481,482,484,486,487,488,490,491,492,496,497,501,502,503,504,505,508,509,510,511,512,513,516,518,522,523,525,526,527,528,529,536,537,538,539,540,541,542,544,547,548,550,552,553,554,555,557,558,559,560,561,562,563,564,565,566,568,571,572,574,575],[1,5,6,8,12,27,29,33,40,42,46,61,62,64,66,67,79,80,81,95,99,100,104,107,113,116,117,118,124,131,133,135,136,144,148,149,154,155,163,169,176,178,179,180,181,182,191,193,194,196,201,202,203,209,215,217,218,221,222,224,225,226,228,230,241,252,259,264,265,267,276,280,282,289,299,301,315,318,321,323,327,332,338,339,344,345,355,356,357,360,368,386,388,394,395,409,411,419,423,424,428,429,430,431,455,460,470,471,476,477,489,493,494,495,498,499,500,506,507,514,519,520,521,524,530,532,533,535,551,556,567,570,573],[22,23,49,60,98,142,143,146,150,151,153,156,157,172,183,192,200,210,211,227,229,239,251,253,266,268,270,272,273,277,279,281,283,284,287,298,317,336,342,351,352,359,361,364,365,379,380,385,387,438,459,483,485,515,517,531,534,543,549,569],[43,44,134,147,152,175,256,258,271,326,337,366,375,381,400,401,439,545],[28,30,320,324,371,546],[325],[370,372,373,374,376,377,378,382,389,398,399],[369,383,384]]