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