[[0,1,2,3,4,5,6,7,9,10,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,123,124,126,127,128,129,130,131,132,133,134,135,136,137,138,139,141,142,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,177,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,224,225,226,228,229,230,231,232,234,235,236,237,238,239,240,241,243,244,245,246,248,249,250,251,252,253,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,312,313,314,315,316,317,318,319,326,334,337,341,344,345,349,350,356,357,360,362,366,379,381,387,389,397,404,411,412,414,419,426,429,431,432,433,444,452,469,470,481,482,502,506,507,513,518,519,520,531,533,539,540,544,567,568,578,592,595,604,616,618,619,635],[8,11,12,14,24,50,64,79,110,122,125,140,143,167,176,178,222,227,233,242,247,254,294,295,311,321,328,335,339,343,353,354,358,376,377,388,395,418,422,451,461,466,468,477,495,497,500,503,514,524,528,529,535,550,553,556,557,575,584,591,600,602,609,621,627],[38,338,367,369,370,378,390,402,421,428,434,437,441,445,447,454,458,459,463,467,476,486,487,489,494,501,508,536,545,547,554,558,563,573,577,580,585,589,610,613],[346,363,394,400,449,455,537,549,564,572,574,590],[375,382,393,399,483,509,516,538,546,571,615],[355,380,405,406,420,446,561,583,628,636],[331,347,409,499,560,579,581,607,614],[323,417,425,457,475,562,637],[364,424,472,606,608],[330,396,543,566],[385,534,611],[423],[336],[401,464],[603],[348,515,617],[359,525,541],[368,523,638],[325,408,440],[371,625,631],[559,570],[478,521,622],[435,601],[551],[361,391,532],[479],[465,624],[427,504,593],[340,439],[383,493,586,634],[510,512,587],[365,413,474,480,620],[320,450,485],[351,352],[329,569],[436,527,548,630],[332,473,496],[373,410,430,471,542],[384,398,443,498,517],[448,456,490],[460,505,555,623],[597],[416,552],[324,386,453],[392],[612],[403,576],[322,462],[565,594,633],[372,598],[442,488,588,596],[333,605,639],[374,522],[438,599],[407,484,582],[491,632],[511],[526],[415],[327],[530],[626],[342,629],[492]]