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