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