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