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