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