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