[{"0":0,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":10,"9":11,"10":13,"11":15,"12":16,"13":17,"14":18,"15":19,"16":20,"18":23,"19":24,"20":26,"21":28,"22":29,"23":30,"24":32,"25":33,"28":38,"29":39,"30":40,"32":42,"33":43,"34":44,"36":46,"37":48,"38":49,"39":50,"40":51,"43":56,"45":59,"46":61,"47":62,"48":63,"49":64,"50":65,"51":68,"52":69,"53":70,"54":72,"55":73,"56":74,"57":75,"58":78,"59":79,"60":81,"61":82,"62":83,"63":84,"64":85,"65":86,"66":87,"67":88,"68":89,"69":90,"70":91,"71":92,"72":93,"73":94,"74":95,"75":97,"76":98,"77":99,"78":100,"79":101,"82":104,"83":105,"85":107,"86":108,"87":109,"89":111,"91":114,"92":115,"93":118,"94":119,"95":121,"96":122,"97":124,"98":125,"99":126,"100":127,"101":128,"102":129,"103":130,"104":131,"105":132,"106":133,"107":134,"108":135,"109":136,"110":137,"111":138,"112":139,"113":140,"115":142,"118":145,"119":147,"120":148,"121":149,"123":151,"124":153,"125":154,"126":156,"127":159,"128":160,"129":163,"130":164,"131":165,"132":166,"133":167,"134":168,"135":169,"136":170,"137":171,"138":172,"139":174,"140":175,"141":176,"142":177,"143":178,"144":183,"145":184,"146":185,"147":186,"149":190,"150":192,"151":193,"152":194,"153":196,"154":197,"155":199,"156":200,"157":201,"158":202,"159":203,"160":204,"161":205,"162":206,"163":207,"164":208,"165":209,"166":210,"168":212,"169":213,"170":214,"171":215,"172":216,"173":217,"174":218,"175":219,"176":220,"177":221,"178":222,"179":223,"180":225,"181":226,"182":230,"183":233,"184":234,"185":237,"186":238,"187":239,"188":241,"189":242,"190":243,"191":245,"192":246,"193":247,"194":248,"195":249,"196":251,"197":252,"198":253,"199":254,"200":255,"201":257,"202":258,"203":259,"204":260,"205":261,"206":262,"207":265,"208":266,"209":267,"210":268,"211":269,"212":270,"213":271,"215":289,"216":290,"217":291,"218":292,"219":294,"220":295,"221":296,"222":297,"223":298,"224":299,"225":300,"229":305,"230":306,"232":308,"233":309,"234":310,"235":311,"236":312,"237":313,"238":314,"239":315,"240":316,"241":318,"242":319,"243":321,"244":322,"245":323,"246":326,"247":328,"249":331,"250":332,"251":333,"252":334,"253":335,"254":336,"255":338,"256":339,"257":340,"258":341,"259":345,"260":346,"261":347,"262":348,"263":349,"264":350,"265":352,"266":353,"267":354,"268":355,"269":356,"270":357,"271":358,"272":360,"273":363,"274":365,"277":368,"278":369,"279":371,"280":372,"281":373,"282":374,"283":376,"284":378,"285":379,"286":380,"288":383,"291":387,"292":388,"293":389,"295":391,"297":393,"298":396,"301":399,"302":400,"305":403,"306":404,"307":405,"309":407,"310":408,"311":410,"312":411,"313":414,"314":415,"315":416,"316":417,"317":418,"318":420,"319":421,"320":422,"321":423,"322":424,"323":425,"324":426,"325":427,"326":428,"327":430,"328":431,"329":432,"330":435,"331":436,"332":438,"333":439,"334":440,"335":441,"336":443,"337":445,"338":448,"339":450,"340":453,"341":454,"342":455,"343":456,"344":457,"345":460,"346":461,"347":463,"348":464,"349":466,"350":468,"351":472,"352":473,"353":474,"354":475,"355":478,"356":480,"357":481,"358":482,"359":483,"360":484,"361":485,"362":486,"363":487,"365":489,"366":490,"367":492,"368":493,"369":494,"370":495,"371":496,"372":497,"373":498,"374":500,"375":501,"376":503,"377":504,"378":505,"379":506,"380":507,"381":508,"382":509,"383":510,"384":512,"385":513,"386":515,"387":516,"388":517,"389":519,"390":522,"391":524,"392":526,"393":527,"394":529,"395":530,"396":531,"397":532,"398":534,"399":535,"400":538,"401":539,"402":541,"403":542,"404":543,"405":544,"406":546,"407":547,"408":550,"409":552,"410":553,"411":554,"412":555,"413":556,"414":558,"415":559,"416":577,"417":578,"418":579,"419":581,"420":582,"421":586,"422":587,"423":590,"424":592,"425":595,"427":599,"428":607,"429":623,"430":632,"431":636,"432":644,"433":645,"434":647,"435":648,"436":649,"437":652,"438":654,"439":657,"440":658,"441":667,"442":670,"443":672,"444":673,"445":680,"446":681,"447":687,"448":691,"449":697,"450":698,"451":699,"452":700,"453":703,"454":708,"455":709,"456":712,"457":713,"458":716,"459":721,"460":725,"461":729,"462":732,"463":733,"464":735,"465":739,"466":740,"467":747,"468":750,"469":756,"470":757,"471":762,"472":769,"473":775,"474":786,"475":792,"476":796,"477":798,"478":804,"479":806,"480":809,"481":812,"482":823,"483":827,"484":832,"485":836,"486":841,"487":847,"488":848,"489":862,"490":865,"491":868,"492":874,"493":875,"494":878,"495":881,"496":882,"497":890,"498":893,"499":895,"500":898,"501":901,"502":904,"503":905,"504":910,"505":912,"506":916,"507":917,"508":922,"509":927,"510":928,"511":934,"512":937,"513":938,"514":941,"515":945,"516":946,"517":952,"518":954,"519":959,"520":965,"521":972,"522":974,"523":975,"524":978,"525":979,"526":986,"527":991,"528":997,"529":998,"530":1003,"531":1004,"532":1006,"533":1009,"534":1011,"535":1013,"536":1020,"537":1023,"538":1026,"539":1030,"540":1032,"541":1034,"542":1037,"543":1038,"544":1039,"545":1041,"546":1045,"547":1052,"548":1060,"549":1065,"550":1066,"551":1067,"552":1082,"553":1095,"554":1097,"555":1100,"556":1101,"557":1104,"558":1105,"559":1107,"560":1115,"561":1121,"562":1125,"563":1130,"564":1132,"565":1136,"566":1137,"567":1138,"568":1140,"569":1148},{"0":8,"1":9,"2":12,"3":31,"4":36,"5":37,"6":55,"7":58,"8":60,"9":66,"10":67,"11":76,"12":96,"13":113,"14":116,"15":117,"16":120,"17":123,"18":152,"19":155,"20":161,"21":162,"22":173,"23":179,"24":180,"25":181,"26":182,"27":187,"28":188,"29":191,"30":195,"31":198,"32":224,"33":227,"34":228,"35":229,"36":231,"37":232,"38":235,"39":236,"40":240,"41":244,"42":250,"43":256,"44":263,"45":264,"46":272,"47":273,"48":274,"49":278,"50":279,"51":280,"52":282,"53":283,"54":285,"55":286,"56":287,"57":293,"58":317,"59":320,"61":325,"62":327,"63":330,"64":337,"65":342,"66":343,"67":344,"68":359,"69":361,"70":362,"71":364,"72":375,"73":377,"74":382,"75":384,"76":394,"77":409,"78":412,"79":419,"80":429,"81":433,"82":434,"83":437,"84":442,"85":444,"86":446,"87":447,"88":449,"89":452,"90":458,"91":462,"92":465,"93":467,"94":469,"95":470,"96":476,"97":477,"98":499,"99":502,"100":511,"101":514,"102":518,"103":520,"104":521,"105":523,"106":525,"107":533,"108":537,"109":540,"110":545,"111":548,"112":549,"113":551,"114":557,"115":560,"116":561,"117":563,"118":564,"119":565,"120":566,"121":567,"122":569,"123":573,"124":574,"125":575,"126":576,"127":580,"128":583,"129":584,"130":589,"131":591,"132":598,"133":600,"134":602,"135":604,"136":605,"137":609,"138":610,"139":612,"140":614,"141":615,"142":616,"143":617,"144":618,"145":619,"146":620,"147":621,"148":624,"149":626,"150":627,"151":630,"152":634,"153":637,"154":641,"155":643,"156":646,"157":650,"158":651,"159":663,"160":665,"161":668,"162":671,"163":675,"164":676,"165":677,"166":679,"167":682,"168":685,"169":686,"170":689,"171":692,"172":694,"173":695,"174":696,"175":702,"176":714,"177":715,"178":717,"179":722,"180":727,"181":728,"182":730,"183":736,"184":737,"185":742,"186":743,"187":745,"188":746,"189":749,"190":751,"191":753,"192":755,"193":765,"194":767,"195":768,"196":772,"197":776,"198":779,"199":780,"200":782,"201":783,"202":785,"203":789,"204":797,"205":800,"207":807,"208":810,"210":818,"211":821,"212":822,"213":825,"214":829,"215":835,"216":837,"217":838,"218":849,"219":853,"220":854,"221":856,"222":858,"223":860,"224":861,"225":869,"226":871,"227":872,"228":876,"229":877,"230":879,"231":883,"232":884,"233":885,"234":889,"235":892,"236":894,"238":903,"239":906,"240":908,"241":913,"242":914,"244":929,"245":931,"246":932,"247":933,"248":936,"249":942,"250":947,"251":950,"252":951,"253":955,"254":961,"255":963,"256":964,"257":966,"258":968,"259":969,"260":971,"261":973,"262":980,"263":990,"264":993,"265":996,"266":999,"267":1000,"268":1001,"269":1002,"270":1008,"271":1010,"272":1014,"273":1015,"274":1018,"275":1021,"276":1024,"277":1027,"278":1028,"279":1040,"280":1043,"281":1044,"282":1047,"283":1048,"284":1055,"285":1056,"286":1059,"287":1062,"288":1063,"289":1072,"290":1074,"291":1076,"292":1079,"293":1081,"295":1087,"296":1088,"297":1092,"298":1093,"299":1096,"300":1099,"301":1106,"302":1108,"303":1109,"304":1110,"305":1113,"307":1120,"308":1127,"309":1129,"310":1131,"311":1134,"312":1139,"313":1145,"314":1147,"315":1149,"316":1151},{"0":14,"1":22,"2":25,"3":47,"4":54,"5":77,"6":80,"7":146,"8":157,"9":158,"10":275,"11":276,"12":277,"13":281,"14":284,"15":302,"16":351,"17":370,"18":395,"19":413,"20":451,"21":459,"22":471,"23":479,"24":491,"25":528,"26":536,"27":562,"28":568,"29":570,"30":571,"31":572,"32":585,"33":588,"34":601,"35":606,"36":608,"37":611,"38":613,"39":629,"40":638,"41":640,"42":642,"43":655,"44":660,"45":661,"46":669,"47":674,"48":693,"49":704,"50":705,"51":706,"52":711,"53":719,"54":724,"55":734,"56":741,"57":744,"58":752,"59":761,"60":763,"61":771,"62":784,"63":788,"64":790,"65":794,"66":802,"67":808,"68":820,"69":826,"70":830,"71":834,"72":840,"73":843,"74":844,"75":855,"76":857,"77":859,"78":863,"79":864,"80":866,"81":886,"82":888,"83":897,"84":909,"85":911,"86":918,"88":921,"89":923,"90":930,"91":944,"92":948,"94":957,"95":962,"96":967,"97":982,"98":984,"99":987,"100":988,"101":994,"102":1012,"103":1031,"104":1036,"105":1049,"106":1051,"107":1054,"108":1057,"109":1058,"110":1064,"112":1069,"113":1070,"114":1071,"115":1073,"116":1075,"117":1078,"118":1080,"119":1083,"120":1084,"121":1098,"122":1102,"123":1112,"124":1117,"125":1119,"126":1123,"127":1126,"128":1135,"129":1142,"130":1144,"131":1150},{"0":27,"1":71,"2":603,"3":656,"4":690,"5":710,"6":718,"7":723,"8":754,"9":758,"10":760,"11":770,"12":774,"13":777,"14":787,"15":793,"17":799,"18":814,"19":846,"20":850,"21":870,"22":899,"23":920,"24":924,"25":935,"26":939,"27":943,"28":958,"29":981,"30":985,"31":992,"32":1019,"33":1022,"34":1033,"35":1061,"36":1128,"37":1133},{"1":639,"2":653,"3":684,"4":748,"5":791,"6":805,"8":839,"9":867,"10":880,"11":887,"12":949,"13":970,"14":976,"15":1016,"16":1017,"17":1085,"18":1114},[597,622,635,662,683,688,701,759,764,811,828,891,960,1025,1046,1077,1094,1103,1111],[594,631,664,666,778,781,815,833,842,852,926,940,995,1124],{"0":633,"1":678,"2":720,"3":738,"4":824,"5":845,"6":896,"8":983,"9":1050,"10":1089},[628,851,907,956,1007,1141],[625,731,816,819,873,900,989,1005,1053,1118,1122],{"1":1035,"2":1090},[726,1042,1091],[766,773,801,817,977,1146],[659,707]]