[{"0":0,"2":4,"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":18,"17":20,"18":21,"19":22,"20":23,"21":25,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"38":43,"39":44,"40":45,"41":46,"43":48,"44":49,"45":52,"46":54,"47":55,"48":56,"49":57,"50":58,"51":60,"52":61,"53":64,"54":65,"55":66,"56":67,"57":69,"58":70,"59":71,"60":72,"61":73,"62":75,"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":92,"79":93,"80":95,"81":96,"82":97,"83":98,"84":99,"85":100,"86":101,"87":102,"88":103,"89":104,"90":105,"91":106,"92":107,"93":108,"95":110,"96":111,"97":112,"98":113,"99":114,"100":115,"101":116,"102":117,"103":118,"104":120,"105":121,"106":122,"107":123,"108":124,"109":125,"110":126,"111":127,"112":128,"113":129,"114":130,"115":131,"116":133,"117":135,"118":136,"119":137,"120":138,"121":139,"122":140,"123":141,"124":142,"125":145,"127":147,"128":150,"129":151,"130":152,"131":153,"132":154,"133":155,"134":156,"135":157,"136":158,"137":159,"138":160,"139":161,"140":162,"141":163,"142":164,"143":165,"144":166,"145":167,"146":168,"147":169,"148":170,"149":171,"150":172,"151":173,"152":174,"153":175,"154":176,"155":177,"156":178,"157":179,"158":180,"159":181,"160":182,"161":183,"162":184,"163":185,"164":186,"165":187,"166":188,"167":190,"168":191,"169":192,"170":193,"171":194,"172":195,"173":196,"174":197,"175":198,"176":199,"177":200,"178":201,"179":202,"180":203,"181":204,"182":205,"183":206,"184":207,"185":208,"186":209,"187":210,"188":211,"189":212,"190":213,"191":214,"192":215,"193":216,"194":217,"195":218,"196":219,"197":220,"198":221,"199":222,"201":224,"202":225,"203":226,"204":227,"205":228,"206":229,"207":230,"209":232,"210":233,"211":234,"212":235,"213":237,"214":239,"215":240,"216":241,"217":242,"218":243,"219":244,"221":246,"222":247,"223":248,"224":249,"225":250,"226":251,"227":252,"228":253,"229":254,"230":255,"231":256,"232":257,"233":258,"234":259,"235":260,"236":261,"237":262,"238":263,"239":264,"240":265,"241":266,"242":267,"243":268,"244":269,"245":270,"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":287,"261":288,"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":306,"280":307,"281":308,"282":309,"283":310,"284":311,"285":312,"286":313,"287":314,"288":316,"289":317,"290":318,"291":319,"292":320,"293":321,"294":322,"295":325,"296":326,"297":327,"298":328,"299":329,"300":330,"301":331,"302":332,"304":335,"305":336,"306":337,"307":338,"308":339,"309":340,"310":341,"311":342,"312":343,"313":344,"314":345,"315":346,"316":347,"317":348,"318":349,"319":350,"320":351,"321":352,"322":353,"323":354,"324":355,"326":357,"327":358,"329":360,"330":362,"331":363,"332":366,"333":367,"334":369,"335":370,"336":371,"337":372,"338":373,"339":375,"340":376,"341":377,"342":378,"343":379,"345":381,"346":382,"347":383,"348":384,"350":386,"351":388,"352":389,"353":390,"355":393,"356":395,"357":396,"358":397,"359":398,"360":399,"361":400,"362":401,"363":403,"364":405,"365":406,"366":407,"367":408,"368":409,"369":410,"370":411,"371":412,"372":413,"373":415,"374":416,"375":417,"376":418,"377":419,"378":420,"379":421,"380":422,"381":423,"383":425,"384":426,"385":427,"386":428,"387":429,"388":430,"389":432,"390":433,"391":434,"392":435,"393":436,"394":437,"395":438,"396":439,"397":440,"398":441,"400":443,"401":444,"402":446,"403":447,"404":448,"405":449,"407":451,"408":452,"409":453,"410":454,"411":455,"412":456,"413":457,"414":458,"415":459,"416":460,"417":461,"418":462,"419":463,"420":464,"421":465,"422":466,"423":468,"424":469,"425":470,"426":471,"427":472,"428":475,"429":476,"430":477,"431":478,"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":494,"446":495,"447":497,"448":498,"449":500,"450":501,"451":502,"452":503,"453":504,"454":505,"455":506,"456":507,"457":508,"458":510,"459":511,"460":512,"461":513,"462":514,"463":515,"464":516,"465":518,"466":520,"467":521,"468":522,"469":523,"470":525,"471":526,"472":527,"473":528,"474":529,"475":530,"476":531,"477":532,"478":533,"479":534,"480":535,"481":536,"482":537,"483":538,"484":539,"485":540,"486":541,"487":542,"488":543,"489":544,"490":545,"491":546,"492":547,"493":548,"494":550,"495":551,"496":553,"497":554,"498":556,"499":557,"500":558,"501":559,"502":560,"503":561,"504":562,"505":563,"506":564,"507":565,"508":567,"509":569,"510":570,"511":571,"512":573,"513":574,"514":575,"515":576,"516":577,"517":578,"518":581,"519":582,"520":583,"521":585,"522":587,"523":588,"524":592,"525":593,"526":595,"527":596,"528":599,"529":605,"530":606,"531":608,"532":612,"533":616,"534":620,"535":621,"536":622,"537":624,"538":627,"539":628,"540":636,"541":640,"542":643,"543":651,"544":654,"545":655,"546":656,"547":658,"548":662,"549":663,"550":664,"551":665,"552":668,"553":669,"554":671,"555":672,"556":674,"557":675,"558":676,"559":677,"560":679,"561":684,"562":694,"563":696,"564":697,"565":699,"566":700,"567":703,"568":704,"569":706,"570":707,"571":709,"572":711,"573":717,"574":719,"575":720,"576":726,"577":728,"578":736,"579":738,"580":741,"581":745,"582":753,"583":755,"584":757,"585":758,"586":760,"587":761,"588":763,"589":764,"590":770,"591":774,"592":776,"593":779,"594":784,"595":787,"596":789,"597":790,"598":792,"599":795,"600":796,"601":797,"602":801,"603":802,"604":806,"605":808,"606":809,"607":810,"608":811,"609":817,"610":819,"611":820,"612":821,"613":822,"614":824,"615":825,"616":827,"617":830,"618":831,"619":837,"620":843,"621":844,"622":845,"623":853,"624":856,"625":859,"626":865,"627":866,"628":872,"629":875,"630":881,"631":883,"632":887,"633":888,"634":889,"635":890,"636":891,"637":892,"638":893,"639":894,"640":895,"641":896,"642":897,"643":901,"644":902,"645":904,"646":906,"647":907,"648":908,"649":912,"650":915,"651":919,"652":920,"653":921,"654":922,"655":925,"656":928,"657":929,"658":930,"659":932,"660":934,"661":936,"662":937,"663":938,"664":940,"665":943,"666":950,"667":952,"668":953,"669":958,"670":959,"671":961,"672":963,"673":966,"674":967,"675":968,"676":971,"677":974,"678":979,"679":986,"680":990,"681":991,"682":998,"683":1000,"684":1004,"685":1008,"686":1013,"687":1018,"688":1019,"689":1021,"690":1022,"691":1023,"692":1024,"693":1025,"694":1027,"695":1029,"696":1030,"697":1031,"698":1032,"699":1033,"700":1036,"701":1039,"702":1040,"703":1043,"704":1048,"705":1049,"706":1055,"707":1058,"708":1059,"709":1066,"710":1067,"711":1070,"712":1072,"713":1074,"714":1075,"715":1078,"716":1079,"717":1080,"718":1081,"719":1082,"720":1086,"721":1088,"722":1092,"723":1096,"724":1097,"725":1099,"726":1100,"727":1106,"728":1108,"729":1109,"730":1110,"731":1111,"732":1113,"733":1115,"734":1116,"735":1118,"736":1123,"737":1124,"738":1125,"739":1126,"740":1128,"741":1129,"742":1130,"743":1134,"745":1139,"746":1145,"747":1150,"748":1151},[2,3,17,24,36,50,51,53,59,62,63,68,74,76,94,119,132,134,144,148,149,189,236,238,271,286,315,323,324,334,364,365,368,374,387,391,394,404,414,431,445,467,473,474,479,493,496,499,509,517,519,524,549,552,555,568,579,580,584,591,594,597,598,603,607,609,610,615,618,630,633,634,635,638,641,642,644,646,650,652,661,667,670,678,680,681,686,690,691,693,698,705,716,718,721,723,735,737,742,744,748,750,762,765,767,773,775,780,785,786,791,793,794,804,812,815,826,828,833,834,835,836,847,849,850,851,852,854,855,860,861,862,863,867,869,870,871,873,874,876,877,878,879,880,885,886,903,905,909,910,913,916,917,923,926,933,935,941,944,947,951,954,955,956,957,960,962,964,969,972,973,976,977,982,983,985,987,988,994,996,997,1001,1003,1005,1006,1007,1010,1011,1015,1028,1038,1042,1053,1057,1061,1062,1063,1065,1069,1071,1083,1089,1102,1104,1105,1112,1114,1119,1122,1127,1133,1140,1141,1142,1144,1148,1149],{"0":143,"1":361,"2":402,"3":566,"4":572,"5":586,"6":590,"7":604,"8":613,"10":625,"11":631,"12":639,"13":647,"14":648,"15":657,"16":683,"17":702,"18":710,"19":715,"20":722,"21":727,"22":730,"23":733,"24":734,"25":743,"26":746,"27":756,"28":769,"29":782,"30":788,"31":798,"32":799,"33":803,"34":805,"35":813,"36":814,"37":823,"38":829,"39":832,"40":840,"41":846,"42":848,"43":858,"44":898,"45":931,"46":939,"47":945,"48":948,"49":978,"50":981,"51":984,"52":992,"53":1014,"54":1026,"55":1034,"56":1041,"57":1045,"58":1047,"59":1051,"60":1060,"61":1064,"62":1077,"63":1090,"64":1091,"65":1093,"66":1094,"67":1101,"68":1103,"69":1107,"70":1121,"71":1135,"72":1138},{"0":602,"1":619,"2":623,"3":626,"4":632,"5":637,"6":649,"7":659,"8":682,"9":701,"10":713,"11":724,"12":739,"13":740,"14":752,"15":754,"16":759,"18":783,"19":839,"20":842,"21":884,"22":899,"24":914,"25":918,"26":975,"27":1009,"28":1016,"29":1017,"31":1073,"32":1085,"33":1117,"34":1131,"35":1132},{"0":601,"1":660,"2":688,"3":712,"4":732,"5":751,"6":766,"7":772,"9":800,"11":924,"13":965,"14":989,"15":995,"16":1002,"17":1020,"18":1035,"19":1037,"20":1044,"21":1050,"22":1052,"23":1054,"24":1056,"25":1137,"26":1147},{"0":589,"1":614,"2":629,"3":645,"4":653,"5":685,"6":687,"7":692,"8":708,"9":731,"10":768,"11":778,"12":816,"13":838,"14":868,"15":882,"16":927,"17":946,"18":980,"19":1012,"20":1068,"22":1143},{"0":673,"2":747,"3":749,"4":771,"5":807,"6":841,"8":949,"9":1087,"10":1098},{"0":600,"2":695,"3":911,"4":970,"6":999},[714,818,1076,1120],[]]