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