[{"0":0,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"9":10,"10":13,"12":18,"14":20,"16":23,"17":24,"18":25,"19":26,"20":27,"21":28,"22":29,"23":30,"24":33,"25":34,"26":35,"27":36,"29":38,"31":40,"33":43,"34":45,"35":46,"36":47,"38":50,"39":51,"40":53,"41":54,"42":56,"43":58,"47":62,"48":63,"49":64,"52":68,"53":69,"54":71,"56":73,"57":75,"58":76,"59":77,"60":78,"62":81,"64":84,"65":85,"66":88,"67":89,"68":90,"69":91,"70":93,"71":95,"72":96,"73":98,"74":99,"75":100,"76":101,"77":103,"78":104,"79":105,"80":106,"81":107,"82":256,"84":259,"85":260,"86":261,"88":263,"89":264,"91":267,"94":271,"96":273,"97":275,"98":276,"100":278,"101":279,"102":280,"103":281,"105":283,"106":285,"107":286,"108":289,"109":290,"112":293,"113":294,"114":295,"115":297,"117":299,"118":301,"119":302,"120":304,"121":306,"122":307,"123":309,"126":313,"129":318,"130":319,"132":321,"133":323,"134":324,"135":325,"136":326,"138":328,"139":329,"143":336,"144":337,"145":338,"146":339,"147":340,"148":341,"149":342,"151":344,"153":346,"155":349,"156":350,"158":352,"159":353,"160":354,"161":355,"162":356,"163":357,"164":359,"166":362,"167":363,"168":364,"169":516,"170":534,"171":537,"172":551,"173":555,"174":557,"175":562,"176":565,"177":567,"178":607,"179":613,"180":616,"181":620,"182":626,"183":648,"185":665,"187":679,"188":681,"189":705,"190":707,"191":718,"192":723,"193":739,"195":784,"196":810,"197":831,"198":834,"199":855,"200":889,"202":913,"203":931,"204":939,"205":940,"206":945,"208":951,"209":952,"211":978,"212":993,"214":998,"215":1003,"217":1009,"218":1014,"219":1015},{"0":9,"1":12,"2":15,"3":16,"4":17,"5":21,"6":31,"8":44,"9":49,"10":55,"11":57,"12":67,"13":70,"14":74,"15":79,"16":83,"17":86,"18":87,"19":94,"20":108,"21":110,"22":111,"23":113,"24":114,"26":116,"27":117,"29":119,"30":120,"31":121,"33":123,"35":125,"37":127,"41":131,"42":132,"43":133,"44":134,"45":135,"46":136,"47":137,"48":138,"49":139,"50":140,"51":141,"52":143,"57":149,"58":150,"61":157,"62":159,"63":161,"64":162,"65":163,"66":164,"67":165,"68":166,"70":171,"71":172,"74":175,"75":176,"79":183,"80":184,"83":189,"84":190,"85":191,"86":192,"88":194,"89":196,"91":198,"92":199,"93":201,"95":203,"96":204,"98":208,"99":211,"100":212,"102":216,"103":220,"104":222,"105":224,"106":225,"107":227,"108":228,"109":229,"110":230,"111":231,"114":235,"115":236,"116":237,"117":238,"118":239,"119":240,"120":241,"122":257,"123":266,"124":270,"125":274,"126":284,"127":287,"128":288,"129":296,"130":303,"132":308,"133":314,"134":315,"136":330,"137":331,"138":335,"139":348,"140":358,"141":361,"142":366,"143":370,"144":371,"146":374,"149":377,"150":379,"151":380,"152":381,"153":383,"154":384,"155":385,"156":386,"157":388,"158":390,"159":391,"160":392,"161":393,"162":395,"163":396,"165":402,"167":404,"170":409,"172":415,"173":417,"175":420,"176":422,"177":425,"178":427,"179":429,"180":430,"181":431,"183":433,"184":436,"187":440,"188":441,"189":442,"190":444,"191":449,"192":450,"193":451,"198":458,"199":459,"200":462,"201":463,"204":466,"205":467,"209":472,"211":474,"212":475,"213":476,"214":477,"216":480,"217":481,"218":482,"219":483,"220":486,"221":488,"222":489,"224":494,"225":495,"226":496,"227":497,"228":518,"230":533,"231":545,"232":574,"234":601,"237":636,"238":637,"239":643,"240":656,"241":657,"242":666,"243":674,"244":676,"245":694,"246":697,"247":701,"248":710,"249":769,"250":799,"251":817,"252":825,"253":852,"254":860,"256":871,"257":877,"258":885,"259":898,"260":899,"261":902,"262":918,"263":936,"264":950,"265":977,"267":1001,"268":1002,"269":1007,"270":1012,"271":1013,"272":1018},{"3":92,"4":102,"5":109,"6":112,"7":142,"8":147,"9":151,"10":152,"11":154,"12":155,"13":160,"14":167,"15":177,"16":180,"18":185,"19":195,"20":200,"21":206,"22":207,"23":209,"24":210,"25":215,"27":219,"28":221,"29":223,"32":243,"33":244,"36":247,"38":249,"39":250,"43":311,"44":365,"45":367,"46":368,"47":369,"48":372,"49":378,"51":387,"52":389,"53":394,"54":397,"55":398,"56":400,"58":407,"59":413,"60":414,"61":416,"62":419,"63":421,"64":423,"65":424,"66":426,"67":435,"68":437,"69":443,"70":445,"71":446,"72":448,"73":453,"74":457,"75":460,"76":461,"77":471,"78":479,"79":484,"80":485,"81":487,"82":490,"83":493,"85":499,"86":500,"88":507,"90":513,"91":514,"95":553,"96":556,"97":572,"99":598,"101":627,"102":628,"103":638,"104":644,"105":647,"106":658,"107":684,"108":685,"109":722,"110":725,"111":731,"112":738,"113":745,"114":752,"116":760,"117":764,"120":805,"121":806,"122":811,"123":816,"124":822,"125":824,"126":827,"129":842,"130":856,"132":861,"133":863,"134":865,"137":882,"138":890,"139":894,"140":895,"141":900,"142":903,"143":906,"144":910,"145":911,"146":922,"147":923,"148":924,"150":929,"152":935,"153":938,"154":941,"155":942,"156":944,"159":988,"160":990,"162":1019,"163":1020},{"0":97,"1":158,"2":169,"5":218,"6":254,"7":255,"8":411,"9":428,"10":434,"11":447,"12":491,"13":501,"14":502,"15":504,"16":505,"17":506,"19":510,"20":511,"21":526,"22":542,"23":552,"24":561,"25":568,"26":579,"27":581,"29":596,"30":615,"31":621,"32":622,"33":625,"35":646,"36":668,"37":671,"38":673,"39":686,"40":687,"41":688,"42":693,"43":702,"44":715,"45":732,"46":737,"47":741,"48":742,"49":759,"50":766,"51":772,"53":790,"54":796,"55":801,"56":804,"57":833,"58":876,"59":891,"60":914,"61":927,"62":943,"64":974,"65":976,"66":1004,"67":1006,"69":1023},{"0":168,"1":251,"2":406,"3":410,"4":512,"5":522,"6":523,"7":547,"8":550,"9":564,"10":571,"11":573,"12":587,"13":590,"14":595,"15":639,"16":641,"17":650,"18":654,"19":659,"20":664,"21":683,"23":712,"25":729,"26":744,"27":750,"28":756,"30":774,"32":809,"33":820,"34":826,"35":837,"36":838,"37":840,"38":846,"39":850,"40":893,"41":905,"42":907,"43":912,"45":937,"46":948,"47":953,"48":956},{"0":536,"1":543,"2":548,"3":549,"4":554,"5":588,"6":589,"7":605,"9":640,"10":655,"11":667,"12":704,"13":724,"14":727,"15":733,"16":783,"17":793,"18":800,"19":832,"20":836,"21":853,"22":870,"23":892,"24":916,"27":933,"28":954,"29":960,"31":980,"32":1005},{"0":539,"1":541,"2":585,"3":591,"4":603,"5":604,"6":610,"8":634,"9":695,"10":717,"11":736,"12":740,"13":748,"14":754,"15":778,"16":780,"17":781,"18":821,"19":888,"21":973},{"0":519,"1":530,"2":558,"3":630,"4":652,"5":680,"6":703,"7":708,"8":714,"11":779,"14":823,"15":896,"16":901,"17":904,"18":909,"19":926,"21":992,"22":994},{"0":535,"1":538,"2":559,"3":600,"4":608,"5":629,"6":631,"8":709,"10":789,"11":798,"12":803,"13":862,"14":985},{"0":584,"1":645,"2":711,"3":726,"4":753,"5":763,"6":775,"7":792,"9":857,"10":868,"12":920,"13":946,"14":967,"15":1017},{"2":576,"3":578,"4":582,"5":594,"6":599,"7":653,"8":678,"9":706,"11":765,"12":786,"13":849,"14":851,"15":872,"16":886,"17":971},{"0":597,"1":661,"2":675,"4":696,"5":699,"6":719,"7":728,"8":747,"9":770,"10":841,"11":897,"12":966,"13":983,"14":984},{"1":619,"2":660,"3":670,"4":672,"5":734,"6":807,"7":818,"8":843,"9":848,"10":878,"11":884,"12":959,"13":1000},{"0":569,"1":651,"3":814,"4":844,"6":881,"7":987},{"1":563,"2":602,"3":606,"4":730,"5":808,"6":858,"9":996},{"0":520,"2":609,"3":612,"4":632,"5":795,"8":847},{"1":583,"5":758,"6":785,"8":830,"9":968,"10":989},{"0":544,"2":663,"3":689,"6":787,"7":839,"9":879},{"0":592,"1":614,"2":682,"3":749,"5":919},{"1":560,"3":577,"5":713,"7":776,"8":777,"9":854,"10":934},{"0":517,"2":751,"5":949},{"3":986},{"4":963},[],[]]