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