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