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