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