[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"26":27,"27":28,"28":29,"29":30,"30":31,"32":33,"33":34,"34":35,"35":36,"36":37,"37":38,"38":39,"39":40,"40":41,"41":42,"42":43,"43":44,"44":46,"45":48,"46":49,"47":50,"48":53,"49":54,"50":55,"51":56,"52":57,"53":58,"54":59,"55":60,"56":61,"57":62,"58":63,"59":64,"60":65,"61":66,"62":67,"63":69,"64":70,"65":71,"66":72,"67":73,"68":74,"69":75,"70":76,"71":77,"72":78,"73":79,"74":80,"75":81,"76":82,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"84":90,"85":91,"86":92,"87":93,"88":94,"89":95,"90":96,"91":97,"92":98,"93":99,"94":100,"95":102,"96":103,"97":104,"98":106,"99":107,"100":108,"101":109,"102":110,"103":111,"104":112,"105":114,"106":115,"107":116,"108":117,"109":118,"110":119,"111":120,"112":121,"113":122,"114":123,"115":124,"116":125,"117":126,"118":127,"119":128,"120":129,"121":130,"122":131,"123":132,"124":133,"125":134,"126":135,"127":136,"128":137,"129":138,"130":139,"131":140,"132":141,"133":142,"134":143,"135":144,"136":145,"137":146,"138":147,"139":148,"140":149,"141":150,"142":151,"143":152,"144":153,"145":154,"146":155,"147":156,"148":158,"149":159,"150":160,"152":162,"153":163,"154":164,"155":165,"156":166,"157":167,"158":168,"159":170,"160":171,"161":172,"162":174,"163":175,"164":176,"165":177,"166":179,"167":180,"168":181,"169":182,"170":183,"171":184,"172":185,"173":186,"174":187,"175":188,"176":189,"177":190,"178":191,"179":192,"180":193,"181":194,"182":195,"183":196,"184":197,"185":199,"186":200,"187":201,"188":202,"189":203,"190":204,"191":205,"192":206,"193":208,"194":209,"195":210,"196":211,"197":212,"198":213,"199":214,"200":215,"201":216,"202":217,"203":218,"204":219,"205":220,"206":221,"207":222,"208":223,"209":224,"210":225,"211":226,"212":227,"213":230,"214":232,"215":234,"216":235,"217":236,"218":237,"219":238,"220":239,"221":240,"222":241,"223":242,"224":243,"225":244,"226":245,"227":246,"228":247,"229":248,"230":249,"231":250,"232":251,"233":252,"234":253,"235":254,"236":255,"237":256,"238":257,"239":258,"240":259,"241":260,"242":261,"243":262,"244":263,"245":264,"246":265,"247":266,"248":268,"249":269,"250":271,"251":272,"252":273,"253":274,"254":275,"255":276,"256":277,"257":278,"258":280,"259":282,"260":283,"261":284,"262":285,"263":286,"264":287,"265":288,"266":289,"267":290,"268":291,"269":292,"270":293,"271":294,"272":296,"273":297,"274":298,"275":299,"277":301,"278":302,"280":304,"281":305,"282":306,"283":307,"284":308,"285":309,"286":310,"287":311,"288":312,"289":313,"290":314,"291":315,"292":316,"293":317,"294":318,"295":319,"296":320,"297":321,"298":322,"299":323,"300":324,"301":325,"302":326,"303":327,"304":328,"305":329,"306":330,"307":331,"308":332,"309":333,"310":334,"311":335,"312":336,"313":337,"315":340,"316":341,"317":342,"318":343,"319":344,"320":345,"321":346,"322":347,"323":348,"324":349,"325":350,"326":351,"327":352,"328":353,"329":354,"330":355,"331":356,"332":357,"333":358,"335":360,"336":361,"337":362,"338":363,"339":364,"340":365,"341":366,"342":367,"343":368,"344":369,"345":371,"346":372,"347":373,"348":374,"349":375,"350":376,"351":377,"352":378,"353":380,"354":381,"355":382,"356":383,"357":384,"358":385,"359":386,"360":387,"361":388,"362":389,"363":390,"364":392,"365":393,"366":394,"367":395,"368":397,"369":398,"370":399,"371":400,"372":401,"373":402,"374":404,"375":405,"376":406,"377":407,"378":408,"379":409,"380":411,"381":412,"382":415,"383":417,"384":418,"385":419,"386":420,"387":421,"388":422,"389":423,"390":425,"391":426,"392":429,"393":430,"394":431,"395":432,"396":433,"397":434,"398":435,"399":436,"400":437,"401":438,"402":439,"403":440,"404":441,"405":442,"407":444,"408":445,"409":446,"410":447,"411":448,"412":449,"413":451,"414":452,"415":453,"416":455,"417":456,"418":457,"419":458,"420":459,"421":460,"422":461,"423":462,"424":463,"425":464,"426":465,"427":466,"428":467,"429":469,"430":470,"431":471,"432":473,"433":474,"434":475,"435":476,"436":478,"437":479,"438":480,"439":481,"440":482,"441":483,"442":484,"443":485,"444":486,"446":488,"447":489,"448":490,"449":491,"450":492,"451":493,"452":494,"453":495,"454":496,"455":497,"456":498,"457":499,"458":500,"459":501,"460":502,"461":503,"463":505,"464":506,"465":507,"466":508,"467":509,"468":510,"469":511,"470":512,"471":513,"472":514,"473":515,"474":516,"475":517,"476":518,"477":519,"478":520,"479":522,"480":523,"481":524,"482":525,"483":526,"484":527,"485":528,"486":529,"487":530,"488":531,"489":532,"490":534,"491":536,"492":537,"493":538,"494":539,"495":540,"496":541,"497":542,"498":543,"499":544,"500":545,"501":547,"502":549,"503":551,"504":552,"505":554,"506":555,"507":556,"508":558,"509":559,"510":560,"511":561,"512":562,"513":563,"514":564,"515":566,"516":567,"517":569,"518":570,"519":571,"520":573,"521":574,"522":575,"523":576,"524":584,"525":588,"526":599,"527":602,"528":604,"529":609,"530":611,"531":613,"532":619,"533":623,"534":624,"535":625,"536":628,"537":630,"538":634,"539":641,"540":643,"541":644,"542":647,"543":651,"544":652,"545":653,"546":656,"547":658,"548":661,"549":668,"550":678,"551":681,"552":682,"553":684,"554":688,"555":690,"556":691,"557":692,"558":695,"559":696,"560":697,"561":700,"562":702,"563":703,"564":714,"565":718,"566":721,"567":723,"568":725,"569":732,"570":734,"571":746,"572":747,"573":750,"574":753,"575":754,"576":768,"577":769,"578":773,"579":779,"580":782,"581":785,"582":790,"583":793,"584":799,"585":802,"586":813,"587":818,"588":819,"589":825,"590":831,"591":835,"592":836,"593":842,"594":843,"595":850,"596":859,"597":863,"598":865,"599":869,"600":871,"601":873,"602":874,"603":875,"604":878,"605":879,"606":880,"607":881,"608":889,"609":890,"610":891,"611":894,"612":896,"613":897,"614":901,"615":902,"616":916,"617":917,"618":919,"619":924,"620":925,"621":931,"622":933,"623":942,"624":943,"625":944,"626":946,"627":947,"628":949,"629":951,"630":952,"631":956,"632":958,"633":959,"634":962,"635":965,"636":969,"637":972,"638":987,"639":988,"640":989,"641":995,"642":996,"643":1011,"644":1018,"645":1025,"646":1026,"647":1027,"648":1031,"649":1037,"650":1039,"651":1040,"652":1043,"653":1046,"654":1051,"655":1053,"656":1054,"657":1059,"658":1061,"659":1063,"660":1065,"661":1066,"662":1067,"663":1073,"664":1080,"665":1083,"666":1084,"667":1085,"668":1089,"669":1090,"670":1092,"671":1094,"672":1096,"673":1097,"674":1098,"675":1103,"676":1106,"677":1107,"678":1112,"679":1117,"680":1122,"681":1125,"682":1126,"683":1132,"684":1134,"685":1135,"686":1137,"687":1140,"688":1141,"689":1144,"690":1145,"691":1147,"692":1150},[7,45,47,51,52,68,101,105,113,157,169,173,178,198,207,228,229,231,233,267,270,279,281,295,370,379,391,396,403,410,413,414,416,424,427,428,450,454,468,472,477,521,533,535,546,548,553,557,565,568,572,579,582,585,589,592,596,597,601,605,608,610,626,629,631,632,637,642,645,646,648,650,657,659,660,663,665,669,670,679,680,685,687,693,694,698,701,706,709,713,720,726,727,729,730,735,737,740,744,745,748,756,757,764,767,770,775,781,784,786,787,789,791,797,798,805,811,816,817,820,829,834,837,838,839,841,848,852,855,856,857,860,862,864,870,872,883,885,886,888,892,893,898,903,904,907,909,910,912,914,920,927,928,929,932,938,939,940,945,953,955,960,963,964,966,967,968,971,974,975,976,977,980,981,982,984,990,993,994,997,998,1000,1001,1002,1012,1014,1015,1020,1021,1022,1023,1030,1034,1035,1041,1044,1047,1048,1049,1052,1057,1058,1068,1069,1070,1074,1075,1077,1082,1086,1087,1088,1108,1113,1114,1116,1118,1119,1128,1129,1133,1142,1146,1148,1149,1151],{"0":339,"1":577,"2":580,"3":583,"4":586,"5":590,"6":591,"7":593,"8":598,"9":600,"10":603,"11":612,"12":620,"13":621,"14":622,"15":627,"16":638,"17":639,"18":654,"19":662,"20":664,"21":671,"22":675,"23":677,"24":683,"25":689,"26":699,"27":707,"28":710,"29":719,"30":724,"31":738,"32":739,"33":741,"34":749,"35":751,"36":752,"38":760,"39":762,"40":763,"41":766,"42":776,"43":778,"44":780,"45":795,"46":796,"47":801,"48":804,"49":806,"50":807,"51":810,"52":812,"53":814,"54":815,"55":821,"56":822,"57":824,"58":833,"59":844,"60":846,"61":847,"62":849,"63":851,"64":853,"65":876,"66":895,"67":899,"68":906,"69":911,"70":913,"71":915,"72":922,"73":936,"74":950,"75":954,"76":957,"77":978,"78":1003,"79":1005,"80":1009,"81":1010,"82":1013,"83":1017,"84":1019,"85":1028,"86":1038,"87":1045,"88":1060,"89":1076,"90":1079,"91":1091,"92":1093,"93":1099,"94":1102,"95":1104,"96":1110,"97":1111,"98":1115,"99":1120,"100":1121,"101":1124,"102":1139},{"0":550,"1":587,"2":594,"3":595,"4":615,"5":616,"6":635,"7":655,"8":667,"9":673,"10":674,"11":686,"13":711,"14":717,"15":728,"16":731,"17":736,"18":743,"19":777,"20":826,"21":830,"22":854,"23":866,"24":867,"25":882,"26":900,"27":921,"28":926,"29":937,"30":941,"31":948,"32":985,"33":999,"34":1008,"35":1016,"36":1032,"37":1036,"38":1056,"39":1062,"40":1064,"41":1071,"42":1081,"43":1100,"44":1109,"45":1130,"46":1131,"47":1143},[606,607,614,640,676,704,712,715,742,761,765,771,772,774,792,794,808,840,887,923,961,979,1004,1006,1033,1050,1055,1136,1138],[578,618,672,708,716,722,755,759,800,845,858,861,868,877,908,918,934,935,970,1024,1029,1072,1095,1105],{"0":617,"1":636,"2":649,"3":733,"5":803,"6":905,"7":930,"8":986,"9":992,"10":1007,"11":1042},[823,973,983,1078,1101,1123,1127],[581,633,828],[666,783,827,832],[]]