[{"0":0,"1":1,"2":2,"4":4,"5":5,"6":6,"7":8,"8":9,"9":11,"10":12,"11":13,"12":15,"13":16,"14":17,"15":18,"16":19,"17":20,"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":35,"32":36,"33":38,"34":40,"35":41,"36":42,"37":43,"38":44,"39":46,"40":47,"41":48,"42":49,"43":50,"45":53,"46":55,"47":58,"48":59,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":70,"58":71,"59":72,"60":74,"61":75,"62":76,"63":77,"64":78,"65":79,"66":80,"67":81,"68":82,"69":83,"70":84,"71":85,"72":86,"73":87,"74":88,"75":89,"76":90,"77":91,"78":94,"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":108,"92":109,"93":110,"94":111,"95":112,"96":114,"97":116,"98":117,"99":118,"100":120,"101":121,"102":122,"103":123,"104":124,"105":125,"106":126,"107":127,"108":128,"109":129,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":136,"117":137,"118":138,"119":139,"120":140,"121":141,"122":142,"123":143,"124":144,"125":146,"126":148,"127":150,"129":152,"130":153,"131":154,"133":156,"134":157,"135":158,"136":159,"137":160,"138":161,"139":162,"140":163,"141":164,"142":165,"143":166,"144":167,"145":168,"146":169,"147":170,"148":171,"149":172,"150":173,"151":175,"152":176,"153":178,"154":179,"155":180,"156":181,"157":182,"158":183,"159":184,"160":185,"161":186,"162":187,"163":188,"164":189,"165":190,"166":191,"167":192,"168":193,"169":195,"170":196,"171":197,"172":198,"173":199,"175":201,"176":202,"177":203,"178":204,"179":205,"180":206,"181":208,"182":209,"183":211,"184":212,"185":213,"186":214,"187":215,"188":217,"189":218,"190":219,"191":220,"192":221,"193":222,"194":223,"195":224,"196":225,"197":227,"198":228,"199":229,"200":230,"201":231,"202":233,"203":234,"204":235,"205":236,"206":237,"207":238,"208":239,"209":240,"210":241,"211":243,"212":244,"213":245,"214":246,"215":248,"216":249,"217":250,"218":251,"219":253,"220":254,"221":255,"222":256,"223":257,"224":259,"225":260,"226":261,"227":263,"228":264,"229":266,"230":267,"231":270,"232":271,"233":272,"234":274,"235":275,"236":276,"237":277,"238":278,"239":279,"240":282,"241":283,"242":284,"243":285,"244":286,"245":288,"246":289,"247":291,"248":292,"249":293,"250":295,"251":296,"252":298,"253":299,"254":301,"255":302,"256":305,"257":306,"258":307,"259":308,"260":309,"261":310,"262":311,"263":312,"264":314,"265":315,"266":316,"267":317,"268":319,"269":320,"270":321,"271":322,"272":323,"273":324,"274":325,"275":326,"276":328,"277":329,"278":330,"279":331,"280":332,"281":333,"282":334,"283":335,"284":336,"285":337,"286":338,"287":339,"288":340,"289":341,"290":342,"291":343,"292":345,"293":347,"294":348,"295":349,"296":350,"297":351,"298":352,"299":353,"300":354,"301":355,"302":357,"303":358,"304":359,"305":360,"306":361,"307":363,"308":364,"309":365,"310":366,"311":367,"312":368,"313":369,"314":370,"315":372,"316":373,"317":374,"318":375,"319":378,"320":380,"321":382,"322":384,"323":385,"324":386,"325":387,"326":388,"327":389,"328":391,"329":392,"330":393,"331":394,"332":395,"333":396,"334":397,"335":398,"336":399,"337":402,"338":404,"339":406,"340":407,"341":410,"342":411,"343":413,"344":414,"345":415,"346":416,"347":417,"348":419,"349":420,"350":421,"351":422,"352":423,"353":424,"354":425,"355":426,"357":430,"358":431,"359":432,"360":433,"361":434,"362":435,"363":437,"364":440,"365":441,"366":443,"367":444,"368":445,"369":446,"370":447,"371":449,"372":450,"373":451,"374":452,"375":453,"376":455,"377":456,"378":459,"379":460,"380":461,"381":462,"382":463,"383":466,"384":467,"385":468,"386":469,"387":470,"388":471,"389":472,"390":473,"391":474,"392":475,"393":477,"394":478,"395":479,"396":480,"397":481,"398":482,"399":483,"400":485,"401":486,"402":487,"403":488,"404":489,"405":490,"406":491,"407":492,"408":493,"409":494,"410":495,"411":496,"412":497,"413":498,"414":499,"415":500,"416":501,"417":502,"418":503,"419":504,"420":505,"421":506,"422":507,"423":508,"424":509,"425":510,"426":511,"427":512,"428":513,"429":515,"430":516,"431":517,"432":518,"433":519,"434":521,"435":522,"436":524,"437":525,"438":527,"439":528,"440":530,"441":531,"442":532,"443":533,"444":534,"445":535,"446":536,"447":539,"448":540,"449":541,"450":542,"451":543,"452":544,"453":545,"454":546,"455":547,"456":548,"457":549,"458":550,"459":551,"460":552,"461":553,"462":554,"463":555,"464":556,"465":558,"466":561,"467":563,"468":564,"469":565,"470":566,"471":567,"472":568,"473":569,"474":571,"475":572,"476":574,"477":575,"478":577,"479":580,"480":582,"481":583,"482":584,"483":586,"484":587,"485":588,"486":589,"487":590,"488":591,"489":592,"491":595,"492":597,"493":599,"494":600,"495":601,"496":605,"497":607,"498":608,"499":609,"500":610,"501":612,"502":614,"503":615,"504":617,"505":619,"506":620,"507":622,"508":623,"509":624,"510":625,"511":628,"512":629,"513":630,"514":632,"515":633,"516":635,"517":636,"518":637,"519":638,"520":639,"521":640,"522":643,"523":644,"524":646,"525":648,"526":649,"527":650,"528":652,"529":654,"530":658,"531":661,"532":663,"533":664,"534":665,"535":668,"536":669,"537":671,"538":675,"539":680,"540":684,"541":685,"542":686,"543":688,"544":689,"545":694,"546":695,"547":697,"548":698,"549":700,"550":701,"551":702,"552":703,"553":706,"554":710,"555":711,"556":712,"557":713,"558":714,"559":715,"560":718,"561":721,"562":723,"563":724,"564":726,"565":728,"566":729,"567":733,"568":737,"569":741,"570":742,"571":743,"572":745,"573":747,"574":748,"575":750,"576":755,"577":756,"578":758,"579":760,"580":762,"581":768,"582":772,"583":773,"584":774,"585":776,"586":777,"587":778,"588":779,"589":783,"590":785,"591":786,"592":787,"593":788,"594":789,"595":790,"596":794,"597":795,"598":796,"599":797,"600":799,"601":800,"602":802,"603":803,"604":804,"605":805,"606":807,"607":808,"608":810,"609":812,"610":814,"611":816,"612":819,"613":820,"614":821,"615":823,"616":826,"617":828,"618":830,"619":831,"620":832,"621":834,"622":835,"623":838,"624":839,"625":840,"626":842,"627":848,"628":849,"629":851,"630":853,"631":854,"632":855,"633":856,"634":859,"635":861,"636":862,"637":863,"638":864,"639":865,"640":867,"641":868,"642":872,"643":874,"644":877,"645":881,"646":882,"647":884,"648":886,"649":888,"650":889,"651":890,"652":892,"653":894,"654":896,"655":897,"656":898,"657":899,"658":900,"659":901,"660":902,"661":904,"662":906,"663":907,"664":908,"665":909,"666":911,"667":920,"668":921,"669":922,"670":923,"671":925,"672":927,"673":929,"674":933,"675":934,"676":935,"677":941,"678":945,"679":949,"680":950,"681":952,"682":956,"683":959,"684":961,"685":969,"686":972,"687":974,"688":975,"689":978,"690":979,"691":984,"692":986,"693":989,"694":990,"695":992,"696":993,"697":994,"698":995,"699":997,"700":1007,"701":1008,"702":1009,"703":1010,"704":1015,"705":1016,"706":1017,"707":1019,"708":1022,"709":1025,"710":1028,"711":1032,"712":1033,"713":1037,"714":1039,"715":1040,"716":1041,"717":1048,"718":1050,"719":1051,"720":1055,"721":1056,"722":1059,"723":1060,"724":1062,"725":1063,"726":1064,"727":1065,"728":1066,"729":1067,"730":1068,"731":1075,"732":1077,"733":1080,"734":1081,"735":1082,"736":1084,"737":1089,"738":1091,"739":1093,"740":1100,"741":1102,"742":1104,"743":1105,"744":1107,"745":1108,"746":1109,"747":1114,"748":1115,"749":1121,"750":1129,"751":1130,"752":1132,"753":1134,"754":1136,"755":1139,"756":1140,"757":1141,"758":1142,"759":1146,"760":1147,"761":1148,"762":1150,"763":1151},[7,10,14,34,37,39,45,52,54,56,57,68,69,92,93,100,113,115,119,145,147,149,174,177,207,210,216,226,232,242,247,252,258,262,265,268,269,273,280,281,287,294,297,300,303,304,313,318,327,344,346,356,362,371,376,377,381,383,390,400,401,403,405,409,412,418,427,428,438,439,442,448,454,457,458,464,465,476,484,520,523,526,529,537,538,557,559,560,562,570,573,585,596,598,602,603,606,611,613,621,626,627,634,641,642,645,647,651,655,657,660,662,667,672,674,677,679,681,682,683,687,690,691,692,699,704,707,708,709,716,717,719,722,725,727,730,731,732,735,738,744,746,749,752,753,757,761,763,765,766,767,769,770,775,780,781,791,792,793,798,801,806,813,815,818,822,827,833,836,841,844,845,846,847,850,852,857,866,869,870,876,878,879,885,891,905,910,916,919,926,930,931,932,938,939,940,942,944,946,947,948,954,955,957,958,962,964,965,967,970,971,973,976,977,981,983,985,987,988,991,996,998,999,1001,1002,1004,1005,1006,1011,1012,1013,1018,1023,1024,1029,1034,1035,1036,1038,1046,1047,1049,1058,1069,1070,1071,1072,1073,1085,1086,1087,1088,1090,1095,1097,1101,1111,1116,1118,1119,1122,1123,1124,1133,1135,1143,1144],{"0":73,"1":194,"2":290,"3":408,"4":436,"5":514,"6":576,"7":579,"8":616,"9":618,"10":631,"11":656,"12":659,"13":673,"14":693,"15":696,"16":705,"17":720,"18":736,"19":740,"20":751,"21":764,"22":782,"23":837,"24":858,"25":873,"26":875,"27":895,"28":903,"29":912,"30":913,"31":914,"32":917,"33":918,"34":924,"35":936,"36":937,"37":943,"38":953,"40":966,"41":980,"42":1014,"43":1020,"44":1026,"45":1027,"46":1043,"47":1044,"48":1045,"49":1057,"51":1078,"52":1083,"53":1092,"54":1099,"55":1106,"56":1110,"57":1112,"58":1113,"59":1117,"60":1120,"61":1125,"62":1127,"63":1131,"65":1138,"66":1145,"67":1149},{"0":379,"1":578,"2":653,"3":670,"4":676,"5":678,"6":734,"7":739,"8":759,"9":784,"11":811,"12":817,"13":825,"14":829,"16":915,"17":960,"18":968,"19":1000,"20":1003,"21":1042,"22":1054,"23":1061,"24":1079,"25":1096,"26":1098,"27":1126,"28":1128},{"0":581,"1":593,"3":754,"4":771,"5":824,"6":871,"7":880,"9":893,"10":982,"12":1052,"15":1103},{"0":604,"1":887,"3":1030,"4":1074},[],[]]