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