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