[{"0":0,"2":3,"3":4,"4":5,"5":7,"6":9,"7":11,"8":15,"9":17,"10":18,"11":19,"12":21,"13":23,"14":26,"15":27,"16":28,"17":29,"18":30,"19":31,"20":32,"21":33,"22":34,"23":35,"24":36,"25":37,"26":39,"27":40,"28":41,"29":42,"30":43,"31":44,"32":46,"33":48,"34":50,"35":51,"36":52,"37":53,"38":56,"39":58,"40":59,"41":60,"42":61,"43":63,"44":65,"45":69,"46":70,"47":73,"48":74,"49":81,"50":83,"51":84,"52":86,"53":87,"54":88,"55":89,"56":90,"57":91,"58":93,"59":94,"60":96,"61":264,"62":265,"63":267,"64":268,"65":269,"66":270,"67":271,"68":272,"69":273,"70":275,"71":277,"72":279,"73":280,"74":281,"75":282,"76":284,"77":292,"78":293,"79":295,"80":296,"81":297,"82":298,"83":299,"84":300,"85":301,"86":302,"87":303,"88":304,"89":307,"90":308,"91":311,"92":313,"93":314,"94":315,"95":316,"96":318,"97":319,"98":320,"99":323,"100":324,"101":328,"102":329,"103":331,"104":332,"105":333,"106":334,"107":336,"108":337,"109":338,"110":339,"111":341,"112":342,"113":343,"114":344,"115":345,"116":346,"117":347,"118":349,"119":350,"120":351,"121":352,"122":356,"123":357,"124":358,"125":360,"126":528,"127":533,"128":538,"129":547,"130":557,"131":559,"132":562,"133":580,"134":581,"135":592,"136":595,"137":603,"138":606,"139":611,"140":618,"141":624,"142":627,"143":635,"144":642,"145":643,"146":648,"147":652,"148":656,"149":662,"150":670,"151":674,"152":676,"153":679,"154":682,"155":700,"156":701,"157":708,"158":723,"159":729,"160":751,"161":754,"162":759,"163":762,"164":766,"165":769,"166":779,"167":783,"168":791,"169":797,"170":801,"171":816,"172":822,"173":824,"174":835,"175":837,"176":839,"177":842,"178":848,"179":849,"180":872,"181":876,"182":877,"183":884,"184":885,"185":888,"186":893,"187":896,"188":897,"189":906,"190":911,"191":914,"192":931,"193":937,"194":942,"195":943,"196":947,"197":953,"198":961,"199":968,"200":977,"201":979,"202":983,"203":984,"204":994,"205":996,"206":1003,"207":1006,"208":1007,"209":1008,"210":1011,"211":1015,"212":1026,"213":1027,"214":1035,"215":1037,"216":1039,"217":1044,"218":1047,"219":1049,"220":1051,"221":1053},{"0":2,"1":6,"2":8,"3":10,"4":12,"5":13,"6":14,"7":22,"8":25,"9":45,"10":47,"11":49,"12":54,"13":55,"14":57,"15":66,"16":67,"17":68,"18":71,"19":72,"20":75,"21":76,"22":77,"23":78,"24":79,"25":80,"26":85,"27":92,"28":95,"29":99,"30":100,"31":103,"32":104,"33":109,"35":112,"36":115,"37":119,"38":120,"39":122,"40":123,"41":125,"42":129,"43":136,"44":140,"45":141,"46":143,"47":144,"48":145,"49":146,"50":147,"51":148,"52":149,"53":150,"54":153,"55":154,"56":155,"57":157,"58":162,"59":163,"60":164,"61":166,"62":170,"63":176,"64":179,"65":184,"66":186,"67":187,"68":191,"69":195,"70":197,"71":201,"72":204,"73":206,"74":266,"75":274,"76":276,"77":278,"78":283,"79":285,"80":286,"81":287,"82":288,"83":289,"84":291,"85":294,"86":305,"87":306,"88":309,"89":310,"90":317,"91":322,"92":327,"93":335,"94":340,"95":348,"96":353,"97":355,"98":361,"99":362,"100":363,"101":366,"102":368,"103":370,"104":374,"105":375,"106":377,"107":378,"108":379,"109":380,"110":382,"111":383,"112":385,"113":386,"114":387,"115":388,"116":390,"117":391,"118":392,"119":395,"120":397,"121":400,"122":402,"123":410,"124":412,"125":413,"126":414,"127":415,"129":417,"130":418,"131":420,"132":421,"133":425,"134":426,"135":431,"136":434,"137":435,"138":436,"139":437,"140":439,"141":440,"142":443,"143":445,"144":449,"145":450,"146":451,"147":452,"148":453,"149":457,"150":460,"151":462,"152":463,"153":464,"154":465,"155":466,"156":467,"157":468,"158":469,"159":471,"160":476,"161":477,"162":531,"163":536,"164":542,"165":548,"166":549,"167":551,"168":553,"169":554,"170":556,"171":560,"172":565,"173":567,"174":569,"175":579,"176":582,"177":583,"178":587,"179":588,"180":591,"181":598,"182":601,"183":605,"184":609,"185":614,"186":620,"187":622,"188":625,"189":631,"190":636,"191":639,"192":640,"193":645,"194":646,"195":649,"196":653,"197":664,"198":673,"199":678,"200":683,"201":686,"202":695,"203":696,"204":697,"205":699,"206":703,"207":705,"208":709,"209":713,"210":717,"211":720,"212":721,"213":722,"214":728,"215":737,"216":739,"217":743,"218":746,"219":748,"220":753,"221":756,"222":763,"223":764,"224":765,"225":767,"226":774,"227":775,"228":780,"229":782,"230":788,"231":790,"232":793,"233":794,"234":796,"235":803,"236":806,"237":807,"238":812,"239":819,"240":823,"241":826,"242":833,"243":844,"244":845,"245":850,"246":860,"247":868,"248":894,"249":900,"250":908,"251":910,"252":922,"253":924,"254":927,"255":932,"256":938,"257":939,"258":944,"259":949,"260":957,"261":960,"262":964,"263":970,"264":971,"265":972,"266":974,"267":981,"268":982,"269":985,"270":995,"271":1002,"272":1009,"273":1017,"274":1019,"275":1021,"276":1028,"277":1029,"278":1034,"279":1040,"280":1042,"281":1046,"282":1052},[24,38,64,82,97,102,105,106,108,110,113,114,117,118,124,126,128,130,133,134,137,138,139,142,159,160,161,167,169,171,174,177,180,182,189,190,192,193,194,196,198,199,200,205,208,211,212,214,216,217,221,225,227,233,234,239,241,244,246,247,248,251,252,254,257,263,290,312,321,326,330,354,359,365,367,369,371,389,399,401,403,405,406,407,411,419,427,429,432,438,442,444,447,454,455,458,461,473,474,475,478,479,480,485,488,491,503,506,509,511,512,517,525,526,540,541,544,545,552,563,568,572,574,576,586,589,594,597,607,608,610,612,619,621,623,628,632,634,638,641,644,647,650,655,658,669,672,677,680,684,692,693,694,702,704,714,718,719,730,733,734,735,736,741,745,752,757,771,772,784,785,786,789,792,798,800,804,809,811,813,814,825,828,830,836,843,846,855,861,862,865,867,871,879,880,883,886,887,890,891,899,901,903,904,905,907,918,921,923,928,929,934,935,936,940,948,954,955,959,969,986,1010,1012,1013,1022,1023,1031,1032,1048],[16,20,62,98,101,107,121,127,131,135,151,152,156,158,165,168,172,173,175,178,181,183,185,188,203,207,209,213,215,219,220,222,223,226,228,230,231,235,236,237,249,255,256,258,259,260,261,325,364,372,373,376,381,384,393,394,398,404,408,409,422,423,424,428,430,433,441,446,448,456,459,470,472,481,482,484,490,493,494,496,498,499,504,507,508,510,516,518,521,522,523,524,527,530,535,537,539,543,546,550,558,564,578,585,604,651,659,660,661,665,681,689,690,691,707,711,712,715,716,725,726,740,744,747,758,760,761,770,802,805,815,818,820,827,838,847,852,857,863,873,874,882,889,902,909,912,915,917,925,933,941,950,962,963,976,978,988,1000,1001,1004,1014,1016,1024,1038,1043,1050],[116,132,202,210,218,224,229,232,238,240,243,245,250,253,262,396,483,486,487,489,492,495,497,500,501,502,513,515,519,520,529,534,566,577,596,600,602,626,630,663,668,687,688,710,742,755,777,781,795,821,829,834,840,853,866,869,870,892,916,920,951,965,966,975,980,989,992,1020,1041],[505,514,570,571,615,657,671,685,724,778,799,831,851,919,956,998,1018,1033],[242,573,575,590,599,667,841,864,875,913,945,952,1005,1025],[532,675,732,749,832,973,990,1030,1045],[617,738,858,946,987],[584,637,727,817,895,999],[616,654,768,854,856,859,958,991,997],[561,629,698,750,773,810,878,930,1036],[593,666,776,881,926],[731,808,898,967,993],[555,613,633,706,787]]