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