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