[[1,2,4,5,6,7,8,10,11,12,13,14,15,19,21,23,24,27,29,30,31,32,33,34,35,36,37,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,66,68,70,72,75,76,77,78,79,80,81,82,83,84,85,86,88,89,91,93,94,95,96,97,256,257,258,260,261,263,264,265,266,267,268,269,270,271,273,275,276,277,278,279,280,281,285,286,287,288,291,292,293,294,295,296,297,301,303,304,305,307,308,309,311,312,314,315,316,319,320,322,323,324,326,327,328,330,331,332,333,334,335,336,337,339,340,341,342,343,346,347,348,349,350,351,352,353,514,517,521,564,570,574,585,604,605,607,611,618,630,649,650,671,685,686,694,719,722,727,731,736,739,742,744,747,775,786,788,792,806,813,816,833,844,868,872,913,916,923,924,932,938,945,948,958,981,984,986,993,995,1005],[0,9,16,17,18,20,22,26,28,38,44,63,64,67,69,73,74,87,92,98,99,100,101,102,105,106,109,110,111,112,116,120,121,122,123,125,126,128,129,130,131,132,133,134,135,137,140,141,144,147,150,152,154,155,156,158,159,160,161,162,164,165,166,167,168,170,171,172,175,178,179,180,181,182,183,184,189,190,192,195,196,199,201,202,203,204,206,207,208,211,259,272,282,289,290,298,299,300,302,306,317,318,321,325,329,338,344,345,354,355,356,357,359,360,361,362,364,366,368,370,371,372,374,375,376,377,378,379,380,383,384,385,387,388,390,392,394,396,397,398,399,400,401,407,408,409,410,411,412,415,416,417,419,424,425,426,427,428,430,431,432,436,437,439,440,441,443,444,445,446,447,448,450,451,452,454,455,456,458,459,462,463,464,466,467,468,516,518,520,528,533,537,542,543,545,546,578,582,598,608,621,622,639,653,670,681,688,699,701,710,711,745,748,751,752,755,761,767,776,790,795,808,811,820,825,842,845,846,859,871,877,897,904,907,937,960,962,985,1002,1007],[3,25,41,71,90,103,104,107,113,114,115,117,118,119,124,136,138,139,142,143,146,149,151,153,163,169,174,176,185,186,187,191,193,194,197,198,200,205,209,210,212,213,214,217,218,219,223,224,225,226,227,229,230,231,233,237,240,241,242,245,246,247,248,250,251,253,255,262,274,283,284,313,358,363,365,367,369,381,382,391,393,402,404,405,406,418,420,421,422,423,433,434,435,442,449,453,457,460,461,465,469,470,473,474,475,476,479,482,483,486,487,490,492,495,496,497,498,499,500,502,505,506,511,522,530,551,562,571,576,592,610,615,646,656,660,668,669,678,695,702,705,717,721,723,743,759,781,791,801,803,810,815,818,822,831,832,835,838,840,850,860,867,882,896,898,908,909,910,939,944,949,954,955,970,973,978,982,987,994,1013,1018],[108,127,145,148,157,177,188,215,220,221,222,234,235,236,238,243,244,252,254,310,373,386,389,395,403,413,414,429,438,471,472,477,481,484,488,489,491,493,494,501,503,504,507,509,510,568,573,591,602,614,627,636,638,645,647,652,659,664,666,667,684,687,691,703,709,716,740,741,754,758,778,782,785,789,794,796,853,855,861,891,894,902,927,947,951,966,969,977,979,992,998,1001,1008],[173,216,228,232,239,249,480,485,508,513,535,541,563,565,577,584,597,619,620,623,625,640,644,657,677,763,769,777,779,784,798,800,836,851,858,862,887,889,892,906,917,920,936,959,974,976,983,990,999,1004,1016,1017,1021],[478,526,532,534,540,550,553,556,599,606,676,682,692,696,707,726,728,733,734,756,826,827,834,841,875,878,881,900,915,919,925,941,950,1019],[512,525,527,548,555,560,580,587,594,596,612,690,693,697,698,708,712,737,738,749,797,804,805,854,866,883,886,926,930,965,967,975,988,996],[536,539,549,569,572,600,603,624,629,634,642,661,689,704,706,713,715,720,725,732,762,766,774,793,807,817,819,823,824,847,884,890,893,895,914,952,1009,1010,1012],[524,529,547,552,554,557,561,581,586,628,632,641,654,672,673,680,718,735,746,757,764,770,780,787,802,812,852,856,870,943,963,1022,1023],[544,558,567,575,583,588,617,651,658,674,679,729,760,768,773,828,839,843,848,865,873,876,901,912,922,929,942,946,961,1020],[538,609,648,724,730,750,765,829,888,921,964,968,1011],[559,590,593,633,771,857,874,879,885,935,940,956,972,997],[531,635,675,821,830,849,869,899,931],[523,566,579,589,616,665,683,911,933,934,1006,1015],[519,601,631,655,753,772,799,837,864,880,905,980,989,991,1003,1014],[515,595,613,626,663,783,918,928],[700,714,814,953],[957,1000],[637,809,863,903],[643,662,971]]