[{"0":0,"2":3,"3":4,"4":6,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":25,"22":26,"23":27,"24":28,"25":29,"26":31,"27":32,"28":33,"29":34,"30":35,"31":37,"32":38,"33":39,"34":41,"35":42,"36":43,"37":44,"38":45,"39":46,"40":47,"41":49,"42":50,"43":52,"44":54,"45":56,"46":57,"47":58,"48":59,"49":60,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":69,"58":70,"59":71,"60":74,"61":75,"62":77,"63":78,"64":80,"65":81,"66":82,"67":83,"68":84,"69":85,"70":86,"71":87,"72":88,"73":89,"74":90,"75":92,"76":93,"77":95,"78":96,"79":97,"80":101,"81":102,"82":103,"83":105,"84":106,"85":107,"86":109,"87":110,"88":111,"89":112,"90":115,"91":116,"92":118,"93":119,"94":120,"95":121,"96":122,"97":123,"98":124,"99":126,"100":130,"101":131,"102":132,"103":133,"104":134,"105":135,"106":139,"107":142,"108":143,"109":144,"110":146,"111":147,"112":148,"113":151,"114":152,"115":153,"116":154,"117":157,"118":158,"119":159,"120":160,"121":162,"122":164,"123":166,"124":167,"125":168,"127":170,"128":173,"129":174,"130":175,"131":178,"132":179,"133":180,"134":182,"135":256,"136":257,"137":258,"138":259,"139":260,"140":261,"141":262,"142":264,"143":265,"144":266,"145":267,"146":268,"147":269,"148":270,"149":271,"150":272,"151":274,"152":275,"153":276,"154":277,"155":278,"156":279,"157":280,"158":282,"159":283,"160":284,"161":285,"162":286,"163":287,"164":291,"165":292,"166":293,"167":294,"168":295,"169":297,"170":298,"171":301,"172":302,"173":305,"174":306,"175":308,"176":309,"177":312,"178":313,"179":314,"180":315,"181":316,"182":317,"183":318,"184":320,"185":321,"186":322,"187":323,"188":326,"189":327,"190":328,"191":331,"192":332,"193":333,"194":334,"195":335,"196":336,"197":337,"199":339,"200":340,"201":341,"202":342,"203":346,"204":347,"205":349,"206":350,"207":351,"208":353,"209":354,"210":355,"211":356,"212":357,"213":360,"214":362,"215":363,"216":366,"217":367,"218":368,"219":369,"220":370,"221":372,"222":373,"223":374,"224":375,"225":376,"226":377,"227":378,"228":379,"229":380,"230":381,"231":385,"232":387,"233":392,"234":398,"235":399,"236":401,"237":402,"238":403,"239":404,"240":405,"241":406,"242":407,"243":408,"244":409,"245":410,"246":412,"247":413,"248":414,"249":415,"250":417,"251":419,"252":420,"253":421,"254":422,"255":423,"256":424,"257":427,"258":428,"259":429,"260":431,"261":432,"262":433,"263":434,"264":435,"265":436,"266":437,"267":438,"268":439,"269":513,"270":516,"271":517,"272":520,"273":523,"274":525,"275":530,"276":532,"277":534,"278":545,"279":550,"280":551,"281":552,"282":555,"283":557,"284":558,"285":561,"286":564,"287":566,"288":573,"289":574,"290":578,"291":586,"292":587,"293":594,"294":595,"295":596,"296":599,"297":604,"298":615,"299":620,"300":625,"301":628,"302":631,"303":633,"304":637,"305":638,"306":646,"307":649,"308":650,"309":657,"310":659,"311":660,"312":662,"313":665,"314":670,"315":672,"316":679,"317":682,"318":687,"319":697,"320":700,"321":702,"322":705,"323":706,"324":710,"325":714,"326":715,"327":716,"328":722,"329":727,"330":728,"331":730,"332":732,"333":737,"334":740,"335":741,"336":743,"337":744,"338":747,"339":749,"340":752,"341":753,"342":754,"343":756,"344":758,"345":760,"346":762,"347":765,"348":770,"349":771,"350":775,"351":779,"352":780,"353":781,"354":782,"355":794,"356":799,"357":800,"358":802,"359":810,"360":811,"361":814,"362":822,"363":823,"364":827,"365":830,"366":835,"367":841,"368":845,"369":847,"370":856,"371":862,"372":865,"373":866,"374":867,"375":870,"376":873,"377":874,"378":876,"379":880,"380":888,"381":891,"382":895,"383":908,"384":912,"385":915,"386":918,"387":925,"388":928,"389":932,"390":937,"391":940,"392":941,"393":943,"394":944,"395":945,"396":951,"397":956,"398":963,"399":966,"400":967,"401":968,"402":969,"403":977,"404":982,"405":989,"406":994,"407":996,"408":999,"409":1001,"410":1004,"411":1005,"412":1007,"413":1008,"414":1014,"415":1016,"416":1019,"417":1021,"418":1023},{"0":1,"1":17,"2":24,"3":30,"4":40,"5":48,"6":51,"7":53,"8":55,"9":68,"10":72,"11":73,"12":76,"13":94,"14":100,"15":104,"16":108,"17":113,"18":114,"19":117,"20":125,"21":127,"22":128,"23":129,"24":136,"25":137,"26":138,"27":140,"28":141,"29":145,"30":156,"31":161,"32":165,"33":171,"34":172,"35":176,"36":177,"37":183,"38":184,"39":191,"40":192,"41":194,"42":195,"43":198,"44":200,"45":201,"46":204,"47":205,"48":206,"49":207,"50":208,"51":209,"52":212,"53":214,"54":215,"55":217,"56":218,"57":221,"59":223,"60":224,"61":225,"62":226,"63":227,"64":231,"65":232,"66":233,"67":235,"68":236,"69":237,"70":241,"71":244,"72":247,"73":251,"74":252,"75":253,"76":254,"77":255,"78":263,"79":273,"80":281,"81":289,"82":290,"83":296,"84":303,"85":304,"86":310,"87":319,"88":324,"89":329,"90":330,"91":344,"92":345,"93":348,"94":358,"95":359,"96":361,"97":365,"98":371,"99":383,"100":384,"101":388,"102":390,"103":391,"104":394,"105":395,"106":400,"107":418,"108":425,"109":426,"110":430,"111":440,"112":441,"113":442,"114":444,"115":445,"116":446,"117":447,"118":449,"119":451,"120":455,"121":457,"122":458,"123":461,"124":462,"125":463,"126":464,"127":465,"128":466,"129":467,"130":468,"131":471,"132":472,"133":474,"134":476,"135":478,"136":479,"137":480,"138":481,"139":482,"140":483,"141":484,"142":485,"143":487,"144":488,"145":489,"146":490,"147":491,"148":493,"149":494,"150":495,"151":497,"152":499,"153":500,"154":501,"155":505,"156":506,"157":509,"158":511,"159":512,"160":515,"161":521,"162":524,"163":527,"164":528,"165":531,"166":533,"167":537,"168":540,"169":541,"170":542,"171":546,"172":559,"173":562,"174":565,"175":572,"176":575,"177":579,"178":581,"179":592,"180":593,"181":597,"182":598,"183":602,"184":603,"185":608,"186":609,"187":616,"188":617,"189":621,"190":623,"191":624,"192":626,"193":632,"194":639,"195":640,"196":641,"197":642,"198":643,"199":648,"200":653,"201":654,"202":656,"203":674,"204":676,"205":681,"206":683,"207":688,"208":689,"209":696,"210":698,"211":699,"212":701,"213":703,"214":711,"215":717,"216":718,"217":719,"218":720,"219":723,"220":736,"221":738,"222":745,"223":746,"224":748,"225":755,"226":757,"227":768,"228":778,"229":787,"230":788,"231":793,"232":798,"233":801,"234":804,"235":805,"236":808,"237":816,"238":817,"239":826,"240":828,"241":832,"242":833,"243":834,"244":836,"245":837,"246":839,"247":840,"248":842,"249":843,"250":844,"251":850,"252":851,"253":854,"254":855,"255":857,"256":858,"257":860,"258":869,"259":881,"260":883,"261":886,"262":894,"263":896,"264":898,"265":899,"266":903,"267":904,"268":906,"269":907,"270":916,"271":920,"272":922,"273":929,"274":933,"275":938,"276":939,"277":942,"278":948,"279":950,"280":952,"281":953,"282":957,"283":960,"284":962,"285":971,"286":972,"287":976,"288":978,"289":979,"290":983,"291":988,"292":992,"293":993,"294":997,"295":998,"296":1000,"297":1009,"298":1012,"299":1018,"300":1022},{"0":5,"1":36,"2":79,"3":91,"4":98,"5":99,"6":149,"7":150,"8":155,"9":163,"10":181,"11":185,"12":186,"13":188,"14":189,"15":193,"16":196,"17":202,"18":203,"19":210,"20":211,"21":213,"22":216,"23":219,"24":220,"25":228,"26":229,"27":230,"28":238,"29":242,"30":245,"31":246,"32":248,"33":250,"34":288,"35":299,"36":300,"37":307,"38":311,"39":343,"40":352,"41":364,"42":386,"43":389,"44":393,"45":396,"46":397,"47":411,"48":416,"49":448,"50":450,"51":452,"52":453,"53":454,"54":456,"55":459,"56":460,"57":469,"58":475,"59":486,"60":492,"61":496,"62":498,"63":502,"64":503,"65":504,"66":507,"67":508,"68":510,"69":522,"70":536,"71":538,"72":539,"73":543,"74":544,"75":547,"76":553,"77":569,"78":588,"79":591,"80":600,"81":605,"82":606,"83":610,"84":611,"85":614,"86":619,"87":622,"88":627,"89":629,"90":635,"91":636,"92":644,"93":661,"94":666,"95":668,"96":669,"97":671,"98":685,"99":686,"100":692,"101":694,"102":708,"103":709,"104":712,"105":713,"106":725,"107":726,"108":735,"109":742,"110":759,"111":767,"112":769,"113":772,"114":773,"115":774,"116":776,"117":783,"118":785,"119":789,"120":803,"121":806,"122":807,"123":809,"124":812,"125":829,"126":831,"127":848,"128":853,"129":863,"130":864,"131":868,"132":882,"133":890,"134":893,"135":909,"136":914,"137":917,"138":926,"139":931,"141":947,"142":949,"143":959,"144":964,"145":965,"146":980,"147":981,"148":984,"149":985,"150":991,"151":995,"152":1002,"154":1013,"155":1015,"156":1020},[187,190,197,199,234,240,243,325,382,443,470,473,514,526,535,560,563,570,576,584,607,634,655,691,707,724,731,733,734,750,751,763,777,791,792,818,819,846,859,872,875,885,889,892,905,910,913,919,946,954,1006,1011,1017],[239,249,477,548,554,571,580,601,612,618,630,647,651,658,664,667,680,684,693,704,721,766,795,796,797,813,821,861,877,878,884,887,897,911,934,958,961,970,973,990],[582,589,645,663,677,784,820,824,871,901,930,955,974,975,986,1010],[518,549,675,690,695,729,739,786,838,921],[568,585,590,673,761,849,852,879,902,927,936,987],[529,556,567,577,583,900,923],[764,790,924],[519,652,815,825],[613,678]]