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