[{"0":0,"1":1,"2":2,"3":5,"4":6,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"29":32,"30":33,"31":34,"32":35,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"44":49,"45":50,"46":51,"47":52,"48":53,"49":54,"50":55,"52":58,"53":59,"54":60,"55":61,"56":62,"57":63,"58":64,"59":65,"60":66,"61":67,"62":68,"64":70,"65":71,"66":72,"67":73,"68":74,"69":75,"70":76,"71":77,"72":78,"73":80,"74":81,"75":82,"76":83,"77":84,"78":85,"79":86,"80":87,"81":88,"82":89,"83":90,"84":91,"85":92,"86":93,"87":94,"88":95,"89":96,"90":97,"91":98,"92":99,"93":100,"94":101,"95":102,"96":103,"97":104,"98":105,"99":106,"100":107,"101":108,"102":109,"103":110,"104":111,"105":112,"106":113,"107":114,"108":115,"109":116,"110":117,"111":118,"112":119,"113":120,"114":122,"115":123,"116":124,"117":126,"118":127,"119":128,"120":130,"122":132,"123":133,"124":134,"125":135,"126":137,"127":138,"128":139,"129":140,"130":141,"131":142,"133":144,"134":145,"135":146,"136":147,"137":148,"138":150,"139":151,"140":152,"141":153,"142":155,"143":156,"144":157,"145":158,"146":159,"147":160,"148":161,"149":162,"150":163,"152":165,"153":166,"154":167,"155":168,"156":169,"157":170,"158":171,"159":172,"161":174,"162":175,"163":176,"164":178,"165":179,"166":180,"167":181,"168":182,"169":183,"170":184,"171":185,"172":186,"173":188,"174":189,"175":190,"176":191,"177":192,"178":193,"179":194,"180":196,"181":197,"182":198,"183":199,"184":200,"185":202,"186":203,"187":204,"188":205,"189":207,"190":208,"191":209,"192":210,"193":212,"194":213,"195":214,"196":215,"197":216,"198":217,"199":218,"200":219,"201":220,"202":221,"203":223,"204":224,"205":225,"206":226,"207":227,"208":228,"209":229,"210":230,"211":231,"212":232,"213":233,"214":234,"215":235,"216":236,"217":238,"218":239,"219":240,"220":241,"221":242,"222":243,"224":247,"225":248,"226":249,"227":250,"228":251,"229":253,"230":254,"231":255,"232":256,"233":257,"234":258,"235":259,"236":260,"237":261,"238":262,"239":264,"240":265,"241":267,"242":268,"243":269,"244":270,"245":271,"246":272,"247":273,"248":274,"249":275,"250":276,"251":277,"252":278,"253":279,"254":280,"255":281,"256":282,"257":283,"258":284,"259":285,"260":286,"261":287,"262":289,"263":290,"264":291,"265":292,"266":293,"267":294,"268":295,"269":296,"270":297,"271":298,"272":299,"273":300,"274":301,"275":302,"276":303,"277":304,"278":305,"279":307,"280":308,"281":309,"282":311,"283":312,"284":313,"285":314,"286":315,"287":316,"288":317,"289":318,"290":319,"291":320,"292":321,"293":322,"294":323,"295":324,"296":325,"297":326,"298":328,"299":330,"300":331,"301":332,"302":333,"303":334,"304":335,"305":336,"306":337,"307":339,"308":340,"309":341,"310":342,"311":343,"312":344,"313":345,"314":346,"315":347,"316":349,"317":350,"318":351,"319":352,"320":353,"321":354,"322":355,"323":356,"324":357,"325":358,"326":359,"328":363,"329":364,"330":365,"331":366,"332":367,"333":368,"334":369,"335":370,"336":371,"337":372,"339":374,"340":375,"341":376,"342":377,"343":378,"344":379,"345":380,"346":382,"347":384,"348":385,"349":386,"350":387,"351":388,"352":389,"353":390,"354":391,"355":392,"356":393,"357":394,"358":395,"359":396,"360":398,"361":399,"362":403,"363":404,"364":405,"365":406,"366":407,"367":408,"368":410,"369":411,"370":412,"371":413,"372":414,"373":416,"374":417,"375":418,"376":419,"377":420,"378":421,"379":422,"380":423,"381":424,"382":425,"383":428,"384":430,"385":432,"386":433,"387":434,"388":435,"389":436,"390":437,"391":438,"392":439,"393":441,"394":442,"395":443,"396":444,"397":445,"398":446,"399":447,"400":448,"401":449,"402":450,"403":451,"404":452,"405":453,"406":454,"407":455,"408":456,"409":457,"410":458,"411":459,"412":460,"413":461,"415":463,"416":464,"417":465,"418":466,"419":467,"420":468,"421":469,"422":470,"423":471,"424":472,"425":473,"426":474,"427":475,"428":476,"429":477,"430":478,"431":479,"432":480,"433":481,"434":482,"435":483,"436":484,"437":485,"438":486,"439":487,"440":488,"441":489,"442":490,"443":491,"444":492,"445":493,"446":494,"447":495,"448":496,"449":497,"450":498,"451":499,"452":501,"453":502,"454":503,"455":504,"456":505,"457":506,"458":507,"459":509,"460":510,"461":511,"462":512,"463":513,"464":514,"465":515,"466":516,"467":518,"468":519,"469":520,"470":521,"471":522,"472":523,"473":524,"474":525,"475":526,"476":527,"477":528,"478":529,"479":530,"480":531,"481":532,"482":533,"483":534,"484":535,"485":536,"486":537,"487":538,"488":539,"489":540,"490":542,"491":543,"492":544,"493":545,"494":546,"495":547,"496":548,"497":549,"498":551,"499":552,"500":553,"501":554,"502":555,"503":556,"504":557,"505":558,"506":559,"507":560,"508":561,"509":562,"510":563,"511":564,"512":565,"513":566,"514":567,"515":568,"516":569,"517":570,"518":571,"519":572,"520":573,"521":574,"522":580,"523":581,"524":589,"525":590,"526":593,"527":595,"528":599,"529":600,"530":608,"531":617,"532":618,"533":619,"534":620,"535":626,"536":629,"537":634,"538":637,"539":639,"540":641,"541":644,"542":645,"543":651,"544":655,"545":662,"546":666,"547":669,"548":672,"549":674,"550":676,"551":677,"552":680,"553":682,"554":686,"555":689,"556":690,"557":692,"558":695,"559":701,"560":702,"561":705,"562":706,"563":708,"564":709,"565":713,"566":721,"567":722,"568":725,"569":729,"570":740,"571":741,"572":745,"573":756,"574":761,"575":762,"576":763,"577":764,"578":767,"579":771,"580":773,"581":775,"582":778,"583":784,"584":785,"585":786,"586":788,"587":791,"588":797,"589":798,"590":807,"591":814,"592":816,"593":821,"594":826,"595":827,"596":829,"597":834,"598":837,"599":844,"600":845,"601":847,"602":850,"603":853,"604":857,"605":860,"607":865,"608":866,"609":869,"610":873,"611":879,"612":884,"613":885,"614":892,"615":897,"616":904,"617":906,"618":909,"619":911,"620":912,"621":914,"622":919,"623":929,"624":933,"625":934,"626":938,"627":942,"628":944,"629":950,"630":951,"631":959,"632":961,"633":965,"634":970,"635":971,"636":977,"637":978,"638":982,"639":983,"640":987,"641":1001,"642":1003,"643":1004,"644":1006,"646":1021,"647":1026,"648":1033,"649":1034,"650":1036,"651":1038,"652":1050,"653":1052,"654":1061,"655":1064,"656":1065,"657":1067,"658":1070,"659":1072,"660":1074,"661":1078,"662":1079,"663":1081,"664":1082,"665":1086,"666":1090,"667":1091,"668":1098,"669":1099,"670":1102,"671":1106,"672":1111,"673":1112,"674":1123,"675":1124,"676":1128,"677":1129,"678":1132,"679":1133,"680":1135,"681":1140,"682":1141,"683":1148},{"0":3,"1":4,"2":20,"3":36,"4":48,"5":56,"6":79,"7":121,"8":125,"9":129,"10":136,"11":149,"12":154,"13":177,"14":187,"15":195,"16":201,"17":206,"18":211,"19":222,"20":237,"21":246,"22":252,"23":263,"24":288,"26":310,"27":327,"28":329,"29":338,"30":360,"31":361,"32":381,"33":383,"34":397,"35":401,"36":402,"37":415,"38":426,"39":427,"41":440,"42":500,"43":508,"44":517,"45":541,"46":550,"47":575,"48":579,"49":585,"50":588,"51":592,"52":598,"53":606,"54":613,"55":615,"56":621,"57":623,"58":625,"59":627,"60":628,"61":630,"62":631,"63":633,"64":636,"65":638,"66":640,"67":647,"68":648,"69":649,"70":658,"71":659,"72":661,"73":667,"74":668,"75":671,"76":678,"77":681,"78":685,"79":687,"80":688,"81":691,"82":697,"83":712,"84":715,"85":723,"86":727,"87":731,"88":733,"89":734,"90":737,"91":739,"92":742,"93":750,"94":751,"95":753,"96":757,"97":758,"98":760,"99":766,"100":768,"101":769,"102":772,"103":779,"104":782,"105":790,"106":796,"107":799,"108":800,"109":803,"110":804,"111":809,"112":812,"113":813,"114":815,"115":819,"116":823,"117":831,"118":832,"119":835,"120":836,"121":848,"122":852,"123":854,"124":856,"125":861,"126":862,"127":867,"128":870,"129":871,"130":872,"131":874,"132":875,"133":877,"134":882,"135":886,"136":888,"137":889,"138":891,"139":893,"140":894,"141":898,"142":899,"143":903,"144":908,"145":913,"146":916,"147":921,"148":922,"149":924,"150":932,"151":936,"152":939,"153":940,"154":943,"155":947,"156":952,"157":955,"158":957,"159":960,"160":962,"161":964,"162":968,"163":969,"164":973,"165":974,"166":975,"167":976,"168":979,"169":981,"170":984,"171":985,"172":989,"173":990,"174":991,"175":992,"176":993,"177":994,"178":995,"179":997,"180":998,"181":999,"182":1000,"183":1002,"184":1005,"185":1008,"186":1012,"187":1014,"188":1016,"189":1041,"191":1048,"192":1049,"193":1055,"194":1056,"195":1059,"196":1060,"197":1063,"198":1068,"199":1075,"200":1080,"201":1084,"202":1085,"203":1087,"204":1092,"205":1095,"206":1096,"207":1097,"208":1100,"209":1103,"210":1105,"211":1107,"212":1113,"213":1116,"214":1117,"215":1118,"216":1121,"217":1136,"218":1137,"220":1139,"221":1142,"222":1143,"223":1144,"224":1147,"225":1149},{"0":244,"1":266,"2":348,"3":400,"4":409,"5":429,"6":576,"7":577,"8":583,"9":584,"10":587,"11":591,"13":607,"14":614,"15":616,"16":622,"17":624,"18":635,"19":642,"20":646,"21":652,"22":653,"23":656,"24":657,"25":660,"26":679,"27":684,"28":703,"29":704,"30":714,"31":719,"32":724,"33":728,"34":732,"35":735,"36":736,"37":738,"38":744,"39":746,"40":747,"41":748,"42":755,"43":759,"44":765,"45":776,"46":780,"47":781,"48":794,"49":795,"50":806,"51":808,"52":818,"53":820,"54":822,"55":825,"56":830,"57":838,"58":849,"59":855,"60":859,"61":878,"62":881,"63":890,"64":895,"65":900,"66":901,"67":907,"68":915,"69":917,"70":918,"71":920,"72":923,"73":925,"74":928,"75":930,"76":931,"77":935,"78":937,"79":945,"80":949,"81":953,"82":958,"83":963,"84":972,"85":988,"86":996,"87":1011,"88":1015,"89":1019,"90":1020,"91":1023,"92":1025,"93":1045,"94":1047,"95":1054,"96":1058,"97":1062,"98":1066,"99":1069,"100":1076,"101":1083,"102":1088,"103":1108,"104":1110,"105":1114,"106":1120,"107":1134},{"0":594,"1":604,"2":605,"3":609,"4":610,"5":611,"6":643,"7":650,"8":654,"9":664,"10":694,"11":696,"12":707,"14":720,"15":726,"16":749,"17":752,"18":774,"19":777,"20":787,"21":792,"22":817,"23":840,"24":841,"25":842,"26":876,"27":883,"28":887,"29":905,"30":926,"31":941,"32":946,"33":948,"34":954,"35":986,"36":1017,"37":1018,"38":1022,"39":1024,"40":1029,"41":1032,"42":1035,"43":1037,"44":1043,"45":1057,"46":1073,"47":1094,"48":1101,"49":1115,"50":1119,"51":1131,"52":1151},{"0":612,"1":693,"2":698,"3":710,"4":716,"6":783,"7":793,"8":801,"9":802,"10":805,"11":810,"12":811,"13":828,"14":846,"15":864,"16":868,"17":880,"18":902,"19":927,"20":956,"21":980,"22":1007,"23":1009,"24":1028,"25":1031,"26":1044,"27":1051,"28":1053,"29":1089,"30":1125,"32":1146},{"0":582,"1":586,"2":596,"3":597,"4":601,"5":603,"7":663,"8":673,"9":683,"10":711,"11":743,"12":789,"13":824,"14":839,"15":851,"16":966,"17":1027,"19":1071,"20":1093,"21":1130,"22":1150},{"1":675,"3":730,"4":843,"5":910,"6":1039,"7":1104,"8":1127},{"0":670,"1":700,"3":1040,"5":1122},{"1":754,"2":896,"3":1109},[717,1013,1030,1145],[],[]]