[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":9,"6":10,"7":13,"8":15,"9":18,"10":20,"11":21,"12":22,"13":40,"14":43,"15":44,"16":47,"17":51,"18":54,"19":56,"20":57,"21":62,"22":71,"23":77,"24":78,"25":80,"26":81,"27":84,"28":85,"29":89,"30":90,"31":92,"32":111,"33":112,"34":113,"35":114,"36":117,"37":120,"38":122,"39":123,"40":124,"41":126,"42":130,"43":131,"44":136,"45":137,"52":146,"53":147,"74":202,"75":205,"76":207,"77":208,"78":210,"79":212,"80":213,"81":214,"82":216,"83":218,"84":219,"85":221,"86":238,"87":245,"88":248,"89":250,"90":253,"91":254,"92":257,"93":259,"94":260,"95":261,"96":263,"97":265,"98":266,"99":269,"100":271,"101":273,"102":274,"103":275,"104":276,"105":277,"106":280,"107":281,"108":282,"109":283,"110":284,"111":285,"112":287,"113":288,"114":289,"115":291,"116":292,"117":293,"118":294,"119":303,"120":304,"121":309,"122":319,"123":322,"124":326,"125":329,"126":330,"127":331,"128":332,"129":333,"130":334,"131":335,"132":336,"133":337,"134":338,"135":340,"136":341,"137":342,"138":343,"139":344,"140":345,"141":346,"142":347,"143":348,"144":349,"145":350,"146":351,"147":352,"148":357,"149":358,"150":374,"151":376,"152":380,"153":384,"154":387,"155":393,"156":394,"157":395,"158":399,"159":400,"160":401,"161":405,"162":410,"163":411,"164":413,"165":414,"166":415,"167":416,"168":418,"169":419,"170":420,"171":421,"172":422,"173":423,"174":425,"175":426,"176":427,"177":428,"178":429,"179":430,"180":431,"181":433,"182":434,"183":438,"184":439,"185":440,"186":441,"187":442,"188":460,"189":461,"190":462,"191":464,"192":469,"193":470,"194":477,"195":480,"196":481,"197":485,"198":490,"199":493,"200":496,"201":497,"202":498,"203":500,"204":501,"205":506,"206":507,"207":509,"208":525,"209":541,"210":553,"211":554,"212":555,"213":557,"214":558,"215":559,"216":561,"217":562,"218":563,"219":564,"220":565,"221":566,"222":568,"223":571,"224":597,"225":606,"226":607,"227":610,"228":611,"229":622,"230":624,"231":627,"232":628,"233":629,"234":630,"235":631,"236":632,"237":633,"238":634,"239":656,"240":666,"241":673,"242":684,"243":685,"244":687,"245":689,"246":690,"247":691,"248":692,"249":715,"250":718,"251":721,"252":732,"253":733,"254":742,"255":796,"256":797,"257":798,"258":801,"259":803,"260":805,"261":823,"262":824,"263":826,"264":827,"265":830,"266":841,"267":849,"268":850,"269":857,"270":858,"271":859,"272":860,"273":863,"274":864,"275":883,"276":884,"277":886,"278":893,"279":894,"280":897,"281":902,"282":904,"283":908,"284":910,"285":913,"286":914,"287":915,"288":917,"289":918,"290":919,"291":920,"292":921,"293":924,"294":925,"295":926,"296":948,"297":951,"298":956,"299":962,"300":968,"301":969,"302":970,"303":971,"304":972,"305":973,"306":974,"307":975,"308":976,"309":977,"310":979,"311":980,"312":981,"313":982,"314":983,"315":984,"316":985,"317":986,"318":987,"319":997,"320":998,"321":1002,"322":1004,"323":1005,"324":1007,"325":1008,"326":1009,"327":1010,"328":1011,"329":1013,"330":1015,"331":1020,"332":1021,"333":1022},{"0":6,"1":7,"2":8,"3":12,"4":19,"5":27,"6":28,"7":29,"8":30,"9":32,"10":36,"11":39,"12":42,"13":45,"14":48,"15":52,"16":55,"17":58,"18":59,"19":60,"20":64,"21":67,"22":68,"23":79,"24":82,"25":83,"26":86,"27":88,"28":91,"29":93,"30":94,"31":97,"32":98,"33":101,"34":104,"35":105,"36":106,"37":108,"38":109,"39":118,"40":121,"41":125,"42":127,"43":129,"44":133,"45":135,"52":166,"54":169,"66":203,"67":204,"68":209,"69":217,"70":220,"71":228,"72":229,"73":234,"74":235,"75":236,"76":241,"77":246,"78":247,"79":255,"80":258,"81":262,"82":268,"83":270,"84":278,"85":279,"86":286,"87":290,"88":295,"89":296,"90":297,"91":298,"92":299,"93":301,"94":307,"95":310,"96":311,"97":314,"98":315,"99":316,"100":320,"101":324,"102":327,"103":328,"104":339,"105":353,"106":354,"107":355,"108":356,"109":360,"110":361,"111":363,"112":364,"113":365,"114":366,"115":368,"116":369,"117":370,"118":371,"119":372,"120":373,"121":375,"122":378,"123":382,"124":388,"125":389,"126":390,"127":391,"128":396,"129":398,"130":403,"131":404,"132":408,"133":409,"134":432,"135":436,"136":444,"137":449,"138":451,"139":452,"140":454,"141":456,"142":458,"143":459,"144":463,"145":465,"146":466,"147":467,"148":468,"149":471,"150":472,"151":475,"152":476,"153":482,"154":483,"155":486,"156":487,"157":489,"158":491,"159":494,"160":499,"161":502,"162":503,"163":504,"164":505,"165":508,"166":510,"167":511,"168":512,"169":513,"170":514,"171":517,"172":520,"173":522,"174":524,"175":529,"176":530,"177":532,"178":537,"179":546,"180":547,"181":548,"182":549,"183":552,"184":556,"185":560,"186":567,"187":569,"188":570,"189":574,"190":575,"191":576,"192":577,"193":579,"194":580,"195":582,"196":583,"197":586,"198":590,"199":595,"200":596,"201":620,"202":635,"203":640,"204":641,"205":642,"206":643,"207":645,"208":646,"209":649,"210":651,"211":653,"212":654,"213":659,"214":661,"215":662,"216":663,"217":664,"218":665,"219":670,"220":672,"221":675,"222":678,"223":679,"224":680,"225":681,"226":683,"227":686,"228":688,"229":693,"230":694,"231":697,"232":698,"233":702,"234":707,"235":713,"236":717,"237":719,"238":724,"239":726,"240":727,"241":740,"242":741,"243":744,"244":745,"245":747,"246":748,"247":749,"248":753,"249":766,"250":770,"251":776,"252":777,"253":779,"254":789,"255":791,"256":793,"257":794,"258":799,"259":800,"260":802,"261":804,"262":806,"263":807,"264":808,"265":810,"266":811,"267":813,"268":814,"269":815,"270":816,"271":818,"272":820,"273":821,"274":822,"275":825,"276":831,"277":832,"278":834,"279":836,"280":837,"281":839,"282":846,"283":847,"284":851,"285":852,"286":853,"287":854,"288":861,"289":865,"290":867,"291":870,"292":873,"293":874,"294":877,"295":878,"296":879,"297":881,"298":882,"299":887,"300":889,"301":890,"302":892,"303":898,"304":900,"305":901,"306":905,"307":906,"308":907,"309":909,"310":911,"311":912,"312":916,"313":922,"314":923,"315":928,"316":929,"317":931,"318":932,"319":933,"320":935,"321":938,"322":942,"323":943,"324":945,"325":946,"326":952,"327":953,"328":959,"329":960,"330":961,"331":963,"332":964,"333":965,"334":978,"335":988,"336":989,"337":991,"338":992,"339":993,"340":994,"341":995,"342":999,"343":1014,"344":1017,"345":1023},{"0":11,"1":14,"2":16,"3":17,"4":23,"5":24,"6":25,"7":26,"8":33,"9":34,"10":35,"11":37,"12":38,"13":41,"14":46,"15":50,"16":53,"17":63,"18":65,"19":70,"20":72,"21":73,"22":74,"23":87,"24":95,"25":96,"26":100,"27":102,"28":110,"29":115,"30":119,"31":128,"32":132,"33":134,"34":138,"42":206,"43":211,"44":222,"45":223,"46":224,"47":226,"48":233,"49":237,"50":239,"51":240,"52":242,"53":244,"54":251,"55":256,"56":267,"57":272,"58":300,"59":302,"60":306,"61":313,"62":321,"63":323,"64":325,"65":359,"66":362,"67":367,"68":379,"69":383,"70":385,"71":392,"72":412,"73":417,"74":424,"75":435,"76":437,"77":445,"78":446,"79":450,"80":453,"81":455,"82":457,"83":474,"84":479,"85":484,"86":488,"87":492,"88":495,"89":515,"90":516,"91":518,"92":519,"93":521,"94":523,"95":531,"96":533,"97":535,"98":536,"99":538,"100":540,"101":542,"102":543,"103":572,"104":573,"105":578,"106":581,"107":584,"108":585,"109":587,"110":591,"111":592,"112":603,"113":623,"114":638,"115":639,"116":644,"117":647,"118":648,"119":655,"120":657,"121":658,"122":660,"123":668,"124":669,"125":674,"126":677,"127":682,"128":695,"129":696,"130":699,"131":700,"132":701,"133":703,"134":704,"135":705,"136":706,"137":708,"138":709,"139":710,"140":711,"141":712,"142":722,"143":723,"144":725,"145":739,"146":746,"147":750,"148":751,"149":752,"150":754,"151":755,"152":756,"153":758,"154":759,"155":760,"156":762,"157":763,"158":765,"159":767,"160":768,"161":769,"162":774,"163":782,"164":783,"165":785,"166":788,"167":792,"168":809,"169":812,"170":817,"171":819,"172":829,"173":833,"174":838,"175":842,"176":843,"177":844,"178":845,"179":848,"180":855,"181":856,"182":862,"183":866,"184":868,"185":871,"186":872,"187":880,"188":885,"189":888,"190":891,"191":896,"192":899,"193":927,"194":930,"195":934,"196":936,"197":937,"198":939,"199":940,"200":944,"201":947,"202":950,"203":954,"204":996,"205":1001,"206":1003,"207":1006,"208":1012,"209":1016},[4,49,61,66,69,75,76,99,103,107,139,215,225,230,232,243,249,252,305,308,312,317,318,377,406,443,447,448,473,478,528,534,539,545,550,551,605,626,636,637,650,667,671,676,728,738,743,761,771,772,773,775,778,780,786,787,790,828,835,840,869,876,895,903,955,958,990,1000,1018,1019],[31,116,227,231,264,381,397,402,526,527,588,593,599,602,604,608,616,617,618,625,652,720,731,757,764,781,784,795,941,949,957,966,967],[386,407,544,594,600,601,609,612,613,615,619,621,714,736,875],[589,598,614,716,734,737],[729,730,735],[181,182],[176,193],[180,198],[199]]