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