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