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