[[0,1,2,3,4,25,30,32,35,36,37,39,40,42,43,82,83,132,133,134,135,158,167,174,175,176,177,178,179,190,194,197,198,199,201,228,231,232,233,234,235,236,237,249,251,252,253,254,258,261,265,320,321,337,341,354,355,356,357,358,359,360,377,378,387,390,395,396,424,454,455,456,469,471,475,482,483,496,498,508,509,536,537,538,539,540,559,563,564,567,568,572,576,577,582,584,585,586,610,611,612,625,632,633,664,698,699,700,701,702,703,711,712,713,714,715,719,720,746,747,748,762,772,773,789],[5,28,34,41,44,45,46,47,64,69,74,84,85,86,136,180,186,187,188,200,202,203,204,205,206,207,215,216,217,219,223,226,229,238,256,260,262,263,294,295,296,307,310,314,316,338,347,361,362,363,364,379,384,386,388,392,397,398,416,417,425,426,427,439,451,452,457,458,460,461,470,474,477,479,484,510,511,513,522,523,524,526,527,528,529,531,533,541,543,544,545,546,547,562,565,566,571,573,581,583,588,590,591,598,599,601,603,604,614,627,628,629,634,635,665,704,721,722,723,749,751,763,766,769,770,775,776,791,797,798,799],[6,9,21,24,27,48,49,51,67,68,78,137,142,159,161,164,165,169,171,182,183,196,218,220,221,222,225,227,239,240,250,259,266,268,269,282,285,289,297,298,299,300,302,308,312,313,318,319,322,366,376,383,385,391,394,401,428,442,459,463,472,478,515,516,525,534,548,550,551,553,569,570,580,589,596,608,613,622,636,653,657,667,683,689,695,706,724,726,728,729,734,735,739,740,741,742,744,745,750,752,754,761,764,765,768,771,774,788,793,794,795,796],[8,10,52,53,71,75,77,103,124,125,139,140,141,155,156,160,166,168,170,172,181,192,195,208,209,224,241,242,267,280,281,284,293,301,317,323,324,327,329,349,351,365,367,380,381,389,400,402,403,411,413,414,421,422,429,430,431,462,468,473,481,506,512,518,530,542,549,552,554,574,575,578,587,597,600,606,607,639,640,641,650,654,655,661,666,668,669,671,691,692,705,716,725,727,730,737,738,743,753,755,759,777,778],[12,13,23,50,54,58,66,73,90,96,97,104,105,108,109,114,116,128,129,138,143,146,150,153,162,191,193,210,230,255,257,264,272,274,292,303,304,315,325,326,328,330,331,332,339,353,368,382,399,407,412,415,418,423,434,435,436,443,464,465,476,514,517,519,521,532,535,555,560,561,579,592,605,615,616,637,638,649,662,663,673,675,677,678,684,688,693,718,731,756,757,781,784,792],[7,11,18,22,33,38,55,62,65,80,81,87,88,89,110,117,120,122,127,130,154,173,189,211,212,214,243,245,271,273,277,283,287,290,291,305,309,311,333,343,344,350,369,372,373,375,405,419,420,432,433,466,480,490,505,520,556,557,594,617,618,619,645,646,651,652,658,659,674,685,707,710,732,779,780,783,786,787],[16,17,26,60,63,72,76,93,98,115,119,131,144,145,147,148,151,163,184,185,213,246,270,275,276,278,279,286,288,306,334,348,393,404,408,410,437,438,467,486,488,493,499,501,503,507,558,593,602,609,631,656,660,670,672,679,680,681,709,717,736,758,782],[14,15,20,29,56,57,59,91,94,95,100,112,121,123,149,152,157,335,336,370,371,406,409,485,487,489,492,494,495,497,595,620,642,643,644,647,676,682,686,690,694,697,708,733,760,767],[19,31,61,92,99,102,111,113,126,244,340,342,345,346,352,374,491,500,502,504,648,687,696,790],[79,101,107,118,247,248,445,450,624,626,630,785],[70,106,444,447,623],[441,448,449,453,621],[446],[440]]