[{"1":1,"3":3,"4":4,"5":5,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":18,"16":19,"17":20,"18":22,"19":23,"20":24,"21":25,"22":26,"24":28,"25":29,"27":32,"28":34,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":47,"40":48,"41":50,"42":51,"43":53,"44":54,"45":55,"46":56,"47":57,"48":60,"49":61,"50":62,"51":63,"52":64,"53":65,"55":68,"56":69,"57":70,"58":71,"59":72,"60":73,"61":75,"62":76,"63":77,"64":78,"65":79,"66":80,"68":82,"69":83,"70":84,"71":85,"72":86,"73":87,"74":88,"75":89,"76":91,"77":92,"78":93,"79":95,"80":96,"81":97,"82":98,"83":99,"84":101,"85":102,"86":103,"87":104,"88":105,"89":106,"90":107,"91":109,"92":110,"93":111,"94":113,"95":114,"96":115,"97":116,"98":117,"99":118,"100":119,"102":121,"103":122,"104":123,"105":124,"106":125,"107":126,"108":127,"109":128,"110":129,"112":131,"113":132,"116":136,"117":137,"118":138,"119":139,"120":140,"121":141,"122":142,"123":143,"124":144,"125":145,"126":146,"127":147,"128":148,"129":149,"130":150,"132":153,"133":154,"134":155,"135":156,"136":157,"137":159,"138":161,"139":165,"140":166,"141":167,"142":168,"143":169,"144":170,"145":171,"146":172,"147":173,"148":174,"149":175,"150":176,"151":177,"152":178,"153":179,"154":180,"155":181,"156":182,"157":183,"158":184,"159":185,"160":186,"161":187,"162":189,"163":190,"164":191,"165":192,"167":194,"169":197,"170":199,"171":200,"172":201,"173":202,"174":203,"175":204,"176":206,"177":208,"178":209,"179":211,"180":212,"181":214,"182":216,"183":218,"184":219,"185":220,"186":222,"187":223,"188":225,"189":227,"190":228,"191":229,"192":230,"193":231,"194":232,"195":233,"196":234,"197":235,"198":236,"199":238,"200":239,"201":243,"202":244,"203":245,"204":246,"205":247,"206":248,"207":249,"208":250,"209":251,"210":252,"211":253,"212":254,"213":255,"214":256,"215":257,"216":258,"217":259,"218":260,"219":261,"220":262,"221":263,"222":264,"223":265,"224":269,"225":270,"226":271,"227":273,"228":274,"229":275,"230":276,"231":277,"232":278,"233":279,"234":280,"235":281,"236":282,"237":283,"238":286,"239":288,"240":289,"242":293,"243":294,"244":295,"245":296,"247":298,"248":299,"249":301,"250":302,"251":304,"252":305,"253":306,"254":308,"255":309,"256":310,"257":312,"258":313,"260":315,"261":317,"262":318,"263":320,"264":321,"265":322,"266":323,"267":324,"268":325,"269":328,"270":329,"271":330,"272":331,"273":332,"274":333,"275":334,"276":336,"277":337,"278":339,"279":340,"280":341,"282":343,"283":344,"284":345,"285":346,"286":347,"287":348,"288":349,"289":350,"290":351,"291":353,"292":354,"293":355,"294":357,"295":358,"296":359,"297":360,"298":361,"299":363,"300":366,"301":368,"302":369,"304":371,"305":374,"306":375,"307":377,"308":378,"309":379,"310":380,"311":381,"312":383,"313":385,"314":386,"315":387,"316":388,"317":389,"318":390,"319":391,"320":392,"321":393,"322":395,"323":396,"324":397,"325":398,"326":399,"327":400,"328":401,"329":402,"330":403,"331":404,"332":405,"333":406,"334":407,"335":409,"336":410,"337":411,"339":414,"340":417,"341":418,"343":420,"344":421,"345":423,"346":424,"347":425,"348":426,"349":427,"350":428,"351":429,"352":430,"354":432,"355":433,"356":434,"357":435,"358":437,"359":438,"360":440,"361":442,"362":445,"363":446,"364":447,"365":448,"366":449,"367":451,"368":452,"369":453,"370":454,"371":456,"372":457,"373":458,"374":459,"375":460,"376":461,"377":462,"378":464,"379":465,"380":466,"381":467,"382":468,"383":469,"384":470,"385":471,"386":472,"388":475,"389":476,"390":477,"391":479,"392":480,"393":481,"394":482,"396":484,"397":485,"399":488,"400":489,"401":491,"402":492,"404":494,"405":495,"406":496,"407":498,"408":499,"409":500,"410":501,"411":502,"412":504,"413":505,"414":506,"415":507,"416":508,"417":509,"418":510,"419":511,"420":512,"421":513,"422":514,"423":515,"424":516,"425":517,"426":518,"427":519,"428":520,"429":521,"430":522,"431":523,"432":526,"433":528,"434":529,"435":530,"436":531,"437":532,"438":533,"440":535,"441":536,"442":537,"443":538,"444":539,"445":540,"446":541,"447":543,"448":544,"449":545,"450":546,"451":549,"452":550,"453":551,"454":552,"455":554,"456":555,"457":556,"458":557,"459":558,"460":559,"461":560,"462":562,"463":563,"464":565,"465":566,"466":567,"467":568,"468":569,"469":570,"470":571,"471":572,"472":573,"473":575,"474":576,"475":578,"476":580,"477":581,"478":582,"479":583,"480":584,"481":587,"482":588,"483":589,"484":594,"485":595,"486":596,"487":598,"488":600,"489":601,"490":605,"491":607,"492":608,"493":610,"494":611,"495":613,"496":616,"497":617,"498":618,"499":624,"500":627,"501":628,"502":629,"503":630,"504":632,"505":635,"506":637,"507":639,"508":642,"509":643,"510":644,"511":646,"512":649,"513":659,"514":661,"515":662,"516":663,"517":664,"518":670,"519":672,"520":673,"521":674,"522":677,"523":680,"524":681,"525":683,"526":684,"527":685,"528":686,"529":692,"530":693,"531":701,"532":702,"533":703,"534":707,"535":710,"536":711,"537":712,"538":713,"539":714,"540":716,"541":719,"542":720,"543":721,"544":723,"545":729,"546":730,"547":731,"548":734,"549":735,"550":738,"551":744,"552":745,"553":746,"554":747,"555":748,"556":749,"557":750,"558":751,"559":752,"560":756,"561":757,"562":758,"563":759,"564":763,"565":766,"566":767,"567":768,"568":771,"569":772,"570":778,"571":779,"572":780,"573":783,"574":784,"575":785,"576":786,"577":787,"578":789,"579":790,"580":792,"581":795,"582":797,"583":798,"584":799,"585":800,"586":801,"587":810,"588":813,"589":814,"590":815,"591":817,"592":819,"593":820,"594":821,"595":822,"596":824,"597":825,"598":828,"599":829,"600":832,"601":833,"602":834,"603":836,"604":838,"605":839,"606":843,"607":845,"608":853,"609":854,"610":855,"611":857,"612":859,"613":862,"614":864,"615":869,"616":870,"617":871,"618":873,"619":875,"620":878,"621":879,"622":880,"623":881,"624":882,"625":883,"626":888,"627":889,"628":890,"629":891,"630":892,"631":893,"632":894,"633":896,"634":897,"636":901,"637":905,"638":906,"639":907,"640":908,"641":910,"642":911,"643":914,"644":917,"645":918,"646":920,"647":921,"648":922,"649":924,"650":925,"651":926,"652":927,"653":928,"654":930,"655":936,"656":937,"657":938,"658":939,"659":940,"660":941,"661":942,"662":943,"663":945,"664":947,"665":949,"666":950,"667":951,"668":952,"669":956,"670":957,"671":958,"672":959,"673":961,"674":964,"675":966,"676":967,"677":968,"678":970,"679":973,"680":974,"681":975,"682":976,"683":979,"684":982,"685":985,"686":988,"687":989,"688":993,"689":996,"690":998,"691":1002,"692":1003,"693":1004,"694":1007,"695":1010,"696":1011,"697":1013,"698":1014,"699":1015,"700":1017,"701":1019,"702":1020,"703":1021,"704":1023,"705":1024,"706":1026,"707":1027,"708":1031,"709":1032,"710":1033,"711":1035,"712":1036,"713":1037,"714":1038,"715":1040,"716":1043,"717":1046,"718":1047,"719":1050,"720":1051,"721":1053,"722":1055,"723":1056,"724":1058,"725":1059,"726":1060,"727":1062,"728":1063,"729":1065,"730":1068,"731":1074,"732":1077,"733":1079,"734":1082,"735":1083,"736":1085,"737":1088,"738":1089,"739":1090,"740":1092,"741":1093,"742":1095,"743":1096,"744":1098,"745":1100,"746":1103,"747":1104,"748":1105,"749":1107,"750":1110,"751":1112,"752":1113,"753":1115,"754":1117,"755":1118,"756":1120,"757":1122,"758":1124,"759":1125,"760":1127,"761":1129,"762":1132,"763":1134,"764":1137,"765":1139,"766":1140,"767":1142,"768":1143,"769":1146,"770":1147,"771":1151},{"0":6,"1":7,"2":17,"3":21,"4":33,"5":35,"6":49,"7":52,"8":58,"9":59,"10":67,"11":74,"12":90,"13":94,"14":100,"15":108,"16":112,"17":135,"18":158,"19":160,"20":162,"21":163,"22":164,"23":188,"24":195,"25":198,"26":205,"27":207,"28":210,"29":213,"30":215,"31":217,"32":221,"33":224,"34":226,"35":237,"36":241,"37":242,"38":267,"39":268,"40":272,"41":284,"42":285,"43":290,"44":291,"45":303,"46":307,"47":311,"48":316,"49":319,"51":327,"52":338,"53":352,"54":356,"55":362,"56":365,"57":367,"58":372,"59":373,"60":376,"61":382,"62":384,"63":394,"64":408,"65":412,"66":415,"67":416,"68":422,"69":436,"70":439,"71":441,"72":443,"73":450,"74":455,"75":463,"76":473,"77":478,"78":490,"79":503,"80":525,"81":527,"82":542,"83":547,"84":548,"85":553,"86":561,"87":564,"88":574,"89":577,"90":579,"91":585,"92":586,"93":590,"94":592,"95":597,"96":599,"97":602,"98":603,"99":604,"100":609,"101":620,"102":622,"103":623,"104":625,"105":626,"106":631,"107":633,"108":634,"109":640,"110":641,"111":645,"112":647,"113":648,"114":651,"115":655,"116":657,"117":658,"118":660,"119":665,"120":667,"121":669,"122":671,"123":675,"125":679,"126":687,"127":689,"128":690,"129":691,"130":695,"131":697,"132":698,"133":699,"134":700,"135":708,"136":709,"137":715,"138":717,"139":722,"140":726,"141":727,"142":728,"143":732,"144":733,"145":737,"146":739,"147":740,"148":741,"149":743,"150":753,"151":754,"152":755,"153":760,"154":762,"155":764,"156":770,"157":773,"158":774,"159":776,"160":777,"161":781,"162":782,"163":788,"164":793,"165":794,"166":796,"167":803,"168":805,"169":809,"170":811,"171":812,"172":823,"173":826,"174":827,"175":831,"176":837,"177":840,"178":841,"179":842,"180":844,"181":846,"182":849,"183":852,"184":860,"185":863,"186":865,"187":867,"188":868,"190":876,"191":887,"192":895,"193":899,"194":913,"195":915,"196":919,"197":929,"198":931,"199":933,"200":935,"201":944,"202":962,"203":963,"204":969,"205":971,"206":972,"207":978,"208":980,"209":981,"210":983,"211":984,"212":986,"213":987,"214":992,"215":995,"216":997,"217":999,"218":1000,"219":1001,"221":1016,"222":1018,"223":1022,"224":1025,"225":1044,"226":1048,"227":1049,"228":1054,"229":1057,"230":1064,"231":1066,"232":1067,"233":1069,"234":1071,"235":1072,"236":1076,"237":1080,"238":1084,"239":1086,"240":1087,"241":1091,"242":1094,"243":1099,"244":1106,"245":1109,"246":1111,"247":1119,"248":1123,"249":1128,"250":1130,"251":1136,"252":1144,"253":1145,"254":1150},[30,36,151,240,266,287,300,335,444,487,497,524,593,606,614,615,619,638,652,656,694,718,775,806,818,830,847,850,856,866,885,903,909,934,953,955,965,1005,1006,1028,1034,1045,1101,1148,1149],[364,621,654,736,761,769,807,877,912,923,960,990,994,1009,1012,1075,1078,1126,1141],[612,678,682,858,886,916,1030,1052,1114,1131],[696,724,725,808,874,902,904,1041,1042,1073,1081,1102,1108,1138],[636,650,666,668,742,791,804,851,861,946,1097,1121,1133],[704,705,765,816,835,848,898,1029,1039,1116],[591,688,802,977,1061,1070,1135],[653,948,954,991],[884,932],[706]]