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