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