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