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