[{"0":0,"1":1,"2":2,"3":3,"4":6,"5":7,"8":12,"10":16,"11":17,"12":18,"13":19,"15":21,"16":23,"17":24,"18":25,"19":27,"20":28,"21":29,"22":30,"23":32,"24":33,"25":34,"26":35,"27":36,"29":38,"30":39,"31":40,"32":41,"33":43,"34":44,"35":46,"36":48,"37":49,"38":50,"39":51,"40":52,"41":53,"42":54,"44":56,"45":57,"46":58,"47":59,"48":61,"49":62,"50":63,"51":64,"52":65,"53":67,"54":68,"55":69,"56":73,"58":77,"59":78,"60":79,"61":80,"62":81,"63":82,"64":83,"65":84,"66":85,"67":86,"68":87,"69":88,"70":89,"71":90,"72":91,"73":92,"74":93,"75":94,"76":95,"77":97,"79":99,"80":100,"81":101,"82":102,"83":103,"84":104,"85":105,"86":106,"87":107,"88":108,"89":109,"91":112,"92":113,"93":114,"94":115,"95":117,"96":118,"97":119,"98":120,"99":122,"100":123,"102":128,"103":129,"104":130,"105":131,"106":132,"107":133,"109":135,"110":138,"112":140,"113":142,"115":144,"116":145,"117":146,"118":147,"119":148,"120":150,"121":151,"122":153,"123":156,"124":157,"125":158,"126":159,"127":160,"128":161,"129":163,"130":165,"131":166,"132":167,"133":169,"134":170,"135":171,"136":174,"137":175,"138":178,"139":179,"140":180,"141":181,"142":182,"143":183,"144":185,"145":186,"146":187,"147":188,"148":189,"149":191,"150":192,"151":193,"152":194,"153":195,"154":196,"155":198,"156":199,"157":203,"158":205,"159":207,"160":208,"161":209,"162":210,"163":211,"164":212,"165":213,"166":214,"167":216,"168":219,"169":220,"170":221,"171":222,"172":225,"173":226,"174":227,"175":228,"176":229,"177":231,"178":232,"179":233,"180":234,"181":235,"182":236,"183":237,"184":239,"185":241,"186":242,"187":244,"188":245,"189":246,"190":247,"191":248,"192":249,"193":252,"194":253,"195":255,"196":256,"200":260,"201":261,"202":263,"203":264,"204":265,"205":266,"206":268,"207":270,"208":271,"209":272,"210":273,"211":274,"212":275,"213":276,"214":277,"215":278,"216":279,"217":280,"218":281,"219":282,"220":283,"221":287,"222":288,"223":289,"224":290,"225":291,"227":293,"228":294,"229":295,"230":296,"231":297,"232":298,"233":299,"234":302,"235":303,"237":308,"238":309,"239":310,"240":311,"241":312,"242":313,"243":315,"245":317,"246":319,"247":320,"248":321,"250":323,"251":324,"252":325,"253":326,"254":327,"255":329,"256":330,"257":331,"258":332,"259":333,"260":334,"261":336,"262":338,"263":340,"264":341,"265":342,"266":343,"267":344,"268":346,"269":347,"270":348,"271":349,"272":350,"273":351,"275":355,"277":357,"278":358,"279":359,"280":360,"281":361,"282":362,"283":363,"285":365,"286":366,"288":368,"289":369,"290":370,"291":371,"292":373,"293":374,"294":377,"295":378,"296":379,"297":381,"298":382,"299":383,"300":384,"301":385,"302":386,"304":388,"305":389,"306":391,"307":392,"308":393,"309":394,"310":395,"311":396,"312":397,"314":399,"315":400,"316":401,"317":402,"318":403,"319":404,"320":406,"321":407,"322":408,"323":409,"324":410,"325":411,"326":413,"327":414,"328":416,"329":418,"330":419,"331":420,"332":421,"333":422,"334":424,"335":425,"336":426,"337":427,"338":429,"339":431,"340":432,"341":433,"342":435,"343":436,"344":437,"345":438,"346":439,"347":440,"348":441,"349":443,"350":444,"351":446,"352":448,"353":450,"354":451,"355":452,"356":453,"357":454,"358":455,"359":456,"360":457,"361":458,"362":459,"363":460,"364":462,"365":463,"366":467,"367":468,"368":469,"369":470,"370":471,"371":473,"372":474,"373":475,"374":476,"375":478,"376":480,"377":481,"378":482,"379":483,"380":484,"381":486,"382":487,"383":488,"384":489,"385":492,"386":493,"387":494,"388":495,"389":496,"390":497,"391":500,"392":501,"393":502,"394":503,"395":504,"396":505,"397":506,"398":508,"399":509,"400":510,"401":511,"402":512,"403":513,"404":514,"405":515,"406":517,"407":518,"408":529,"409":530,"410":533,"411":539,"412":540,"413":545,"414":546,"415":549,"416":550,"417":553,"418":562,"419":566,"420":568,"421":571,"422":578,"423":583,"424":585,"425":589,"426":590,"427":595,"428":596,"429":603,"430":604,"431":607,"432":610,"433":611,"434":618,"435":620,"436":624,"437":625,"438":626,"439":627,"440":628,"441":630,"442":635,"443":640,"444":641,"445":643,"446":644,"447":645,"448":649,"449":650,"450":652,"451":658,"452":659,"453":660,"454":661,"455":662,"456":668,"457":675,"458":676,"459":677,"460":680,"461":684,"462":686,"463":687,"464":688,"465":689,"466":690,"467":697,"468":701,"469":705,"470":712,"471":714,"472":715,"473":716,"474":719,"475":720,"476":728,"477":731,"478":733,"479":737,"480":742,"481":746,"482":751,"483":752,"484":761,"485":764,"486":768,"487":772,"488":773,"489":774,"490":780,"491":782,"492":783,"493":784,"494":790,"495":792,"496":795,"497":799,"498":801,"499":803,"500":805,"501":809,"502":815,"503":817,"504":822,"505":823,"506":825,"507":826,"508":829,"509":834,"510":835,"511":836,"512":841,"513":842,"514":843,"515":845,"516":846,"517":847,"518":851,"519":853,"520":855,"522":868,"523":869,"524":871,"525":874,"526":877,"527":879,"528":885,"529":887,"530":888,"531":890,"532":892,"533":894,"534":895,"535":896,"536":904,"537":905,"538":907,"539":910,"540":911,"541":916,"542":917,"543":918,"544":920,"545":924,"546":935,"547":936,"548":938,"549":951,"550":953,"551":967,"552":968,"553":971,"554":977,"555":982,"556":986,"557":989,"558":990,"559":992,"560":994,"561":995,"562":996,"563":999,"564":1000,"565":1005,"566":1011,"567":1016,"568":1022},{"0":4,"1":5,"2":11,"3":13,"4":45,"5":47,"6":60,"7":66,"8":70,"9":71,"10":72,"11":75,"12":76,"13":96,"14":121,"15":124,"16":126,"17":137,"18":141,"19":152,"20":155,"21":162,"22":164,"23":168,"24":172,"25":173,"26":176,"27":177,"28":190,"29":197,"30":200,"31":202,"32":204,"33":206,"34":215,"35":217,"36":218,"37":224,"38":230,"39":238,"40":240,"41":243,"42":251,"43":254,"44":267,"45":269,"46":284,"47":285,"48":286,"49":300,"50":305,"51":306,"52":314,"53":318,"54":328,"55":335,"56":339,"57":345,"58":352,"59":354,"60":372,"61":375,"62":376,"63":380,"64":390,"65":405,"66":415,"67":417,"68":423,"69":428,"70":430,"71":434,"72":442,"73":445,"74":449,"75":461,"76":464,"77":465,"78":466,"79":472,"80":477,"81":479,"82":485,"83":490,"84":491,"85":499,"86":507,"87":521,"88":526,"89":527,"90":535,"91":536,"92":541,"93":547,"94":551,"95":554,"96":556,"97":558,"98":564,"99":567,"100":570,"101":573,"102":575,"103":576,"104":581,"105":591,"106":609,"107":615,"108":619,"109":621,"110":622,"111":633,"112":636,"113":637,"114":638,"115":639,"116":655,"117":657,"118":663,"119":664,"120":666,"121":672,"122":673,"123":674,"124":679,"125":682,"126":692,"127":693,"128":694,"129":695,"131":699,"132":700,"133":702,"134":703,"135":706,"136":707,"137":709,"138":713,"139":717,"140":721,"141":725,"142":726,"143":727,"144":732,"145":734,"146":735,"147":736,"148":738,"149":739,"150":740,"151":743,"152":747,"153":749,"154":750,"155":753,"156":756,"157":757,"158":759,"159":760,"160":766,"161":769,"162":776,"163":778,"164":785,"165":786,"166":788,"167":789,"168":793,"169":794,"170":800,"171":802,"172":807,"173":808,"174":818,"176":821,"177":827,"178":831,"179":839,"180":840,"181":844,"182":848,"183":850,"184":857,"185":861,"186":862,"187":863,"188":872,"189":873,"190":878,"191":881,"192":882,"193":884,"194":893,"195":897,"196":898,"197":900,"198":902,"199":903,"200":908,"201":912,"202":913,"203":914,"204":919,"205":921,"206":923,"207":926,"208":929,"209":933,"210":937,"211":939,"212":941,"213":946,"214":947,"215":948,"216":954,"217":957,"218":962,"219":964,"220":966,"221":970,"222":972,"223":973,"224":975,"225":976,"226":978,"227":979,"228":980,"229":983,"230":987,"231":988,"232":1001,"233":1003,"234":1007,"235":1008,"236":1017,"237":1020},{"0":10,"1":22,"2":26,"3":31,"4":42,"5":110,"6":116,"7":125,"8":136,"9":149,"10":154,"11":184,"12":201,"13":223,"14":250,"15":262,"16":301,"17":307,"18":337,"19":412,"20":447,"21":498,"22":520,"23":524,"24":528,"25":534,"26":538,"27":542,"28":544,"29":559,"30":565,"31":572,"32":582,"33":584,"34":588,"35":602,"36":606,"37":608,"38":612,"39":613,"40":614,"41":616,"42":617,"43":634,"44":642,"45":646,"46":671,"47":681,"48":691,"49":708,"50":710,"51":711,"52":729,"53":741,"54":744,"55":748,"56":755,"57":765,"58":775,"59":787,"61":804,"62":806,"63":816,"64":828,"65":833,"66":837,"67":854,"68":858,"69":866,"70":875,"71":880,"73":932,"74":934,"75":942,"76":949,"77":950,"78":961,"79":963,"80":965,"81":969,"82":974,"83":984,"84":997,"85":998,"86":1006,"87":1012,"88":1013,"89":1014,"90":1015,"91":1019,"93":1023},[15,516,532,537,543,561,579,586,592,593,600,601,605,623,632,647,651,669,670,704,718,723,730,763,779,798,811,813,830,832,838,849,852,859,860,899,906,925,927,943,944,945,958,959,981,985,993,1002,1004],{"0":519,"1":574,"2":577,"3":598,"4":656,"5":665,"6":667,"7":683,"8":685,"9":724,"10":754,"11":767,"12":770,"13":771,"14":814,"15":824,"16":867,"17":891,"18":909,"19":915,"20":922,"21":931,"23":956},[523,548,555,569,580,594,597,599,629,631,648,653,678,758,781,883,940,991,1010],{"0":522,"1":531,"2":552,"4":745,"5":791,"6":797,"7":810,"8":856,"9":865},{"0":696,"1":722,"3":876,"4":901,"5":952},{"0":525,"1":563,"5":870,"6":886,"7":1018},[762,928,930],[]]