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