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