[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":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":25,"26":26,"27":27,"28":28,"29":29,"30":30,"31":31,"32":32,"33":33,"34":34,"35":35,"36":36,"37":37,"38":38,"39":40,"40":41,"41":43,"42":45,"43":46,"44":48,"45":49,"46":50,"47":51,"48":53,"49":54,"50":55,"51":56,"52":57,"53":58,"54":59,"55":60,"56":62,"57":63,"58":64,"59":65,"60":66,"61":67,"62":68,"63":69,"64":70,"65":72,"66":73,"67":74,"68":75,"69":76,"70":77,"71":78,"72":79,"73":81,"74":82,"75":83,"76":85,"77":86,"78":87,"79":88,"80":89,"81":90,"82":91,"83":92,"84":93,"85":94,"86":95,"87":97,"88":98,"89":99,"90":100,"91":101,"92":102,"93":103,"94":105,"95":106,"96":107,"97":108,"98":109,"99":110,"100":111,"101":112,"102":113,"103":114,"104":115,"105":116,"106":117,"107":118,"108":119,"109":120,"110":121,"111":122,"112":123,"113":124,"114":125,"115":126,"116":127,"117":128,"118":130,"119":131,"120":132,"121":133,"122":134,"123":135,"124":136,"125":137,"126":138,"127":140,"128":141,"129":142,"130":143,"131":144,"132":145,"133":146,"134":147,"135":148,"136":149,"137":150,"138":151,"139":152,"140":153,"141":154,"142":156,"143":157,"144":158,"145":159,"146":161,"147":162,"148":163,"149":164,"150":166,"151":167,"152":168,"153":169,"154":170,"155":171,"157":173,"158":174,"159":175,"160":176,"161":177,"162":178,"163":179,"165":181,"166":182,"167":183,"168":184,"169":185,"170":186,"171":187,"172":188,"173":189,"174":190,"175":191,"176":192,"177":193,"178":194,"180":196,"181":197,"182":198,"183":200,"184":201,"185":202,"186":203,"187":204,"188":205,"189":206,"190":207,"191":208,"192":209,"193":210,"194":211,"195":213,"196":214,"197":215,"198":216,"199":217,"200":218,"201":219,"202":220,"203":221,"204":222,"205":223,"206":224,"207":225,"208":226,"209":227,"210":229,"211":230,"212":231,"213":232,"214":233,"215":234,"216":236,"217":237,"218":238,"219":239,"220":240,"221":241,"222":242,"223":243,"224":244,"225":245,"226":246,"227":247,"228":249,"229":250,"230":251,"231":253,"232":254,"233":255,"234":256,"235":257,"236":259,"237":260,"238":261,"239":262,"240":263,"241":266,"242":267,"243":268,"244":269,"245":270,"246":271,"247":273,"248":274,"249":275,"250":277,"251":278,"252":279,"253":280,"254":281,"255":283,"256":284,"257":285,"258":286,"259":287,"260":289,"261":290,"262":291,"263":292,"264":293,"265":294,"266":295,"267":296,"268":297,"269":298,"270":299,"271":300,"272":301,"273":302,"274":303,"275":305,"276":306,"277":307,"278":308,"279":310,"280":311,"281":312,"282":313,"283":314,"284":315,"285":316,"286":317,"287":318,"288":319,"289":320,"290":321,"291":322,"292":323,"293":325,"294":326,"295":328,"296":329,"297":330,"298":331,"299":332,"300":333,"301":334,"302":335,"303":336,"304":337,"305":338,"306":339,"307":340,"308":341,"309":342,"310":343,"311":344,"312":345,"313":346,"314":347,"315":348,"316":350,"317":351,"318":352,"319":353,"321":356,"322":357,"324":359,"325":360,"326":361,"327":362,"328":363,"329":364,"330":365,"331":366,"332":367,"333":368,"334":369,"335":371,"336":372,"337":373,"338":375,"339":376,"340":377,"341":378,"342":379,"343":380,"344":381,"345":382,"346":383,"347":384,"348":386,"349":387,"350":388,"351":389,"352":390,"353":391,"354":392,"355":394,"356":395,"357":396,"358":397,"359":398,"360":399,"361":400,"362":401,"363":402,"364":404,"365":405,"366":406,"367":408,"368":409,"369":410,"370":411,"371":412,"372":413,"373":414,"374":415,"375":416,"376":417,"377":418,"378":419,"379":421,"380":422,"381":423,"382":424,"383":425,"384":426,"385":427,"386":428,"387":429,"388":430,"389":431,"390":432,"391":433,"392":434,"393":435,"394":436,"395":437,"396":438,"397":439,"398":440,"399":441,"400":442,"401":443,"402":444,"403":445,"404":446,"405":447,"406":448,"407":449,"408":450,"409":451,"410":452,"411":454,"412":455,"413":456,"414":457,"415":458,"416":459,"417":460,"418":461,"419":462,"420":463,"421":464,"422":465,"423":466,"424":467,"425":468,"427":470,"428":471,"429":472,"430":473,"431":474,"432":475,"433":477,"434":478,"435":479,"436":480,"437":481,"438":482,"440":484,"441":485,"442":486,"443":487,"444":488,"445":489,"446":490,"447":491,"448":492,"449":493,"450":494,"451":495,"452":496,"453":497,"454":498,"455":499,"456":500,"457":501,"458":502,"459":504,"460":505,"461":506,"462":507,"463":508,"464":509,"465":510,"466":511,"467":512,"468":513,"469":515,"470":516,"471":517,"472":518,"473":519,"474":520,"475":521,"476":523,"477":524,"478":525,"479":527,"480":528,"481":529,"482":530,"483":531,"484":532,"485":533,"486":534,"487":535,"488":536,"489":537,"490":538,"491":540,"492":541,"493":543,"494":544,"495":545,"496":547,"497":548,"498":549,"499":550,"500":551,"501":552,"502":553,"503":555,"504":556,"505":557,"506":558,"507":560,"508":562,"509":563,"510":564,"511":565,"512":566,"513":567,"514":569,"515":570,"516":571,"517":572,"518":573,"519":574,"520":575,"521":578,"522":579,"523":580,"524":581,"525":582,"526":583,"527":584,"528":587,"529":596,"530":600,"531":602,"532":605,"533":606,"534":611,"535":613,"536":614,"537":615,"538":617,"539":618,"540":619,"541":623,"542":624,"543":632,"544":635,"545":636,"546":637,"547":638,"548":639,"549":640,"550":647,"551":648,"552":649,"553":650,"554":651,"555":654,"556":656,"557":658,"558":660,"559":664,"560":665,"561":667,"562":669,"563":671,"564":673,"565":679,"566":680,"567":681,"568":684,"569":685,"570":687,"571":689,"572":690,"573":691,"574":696,"575":697,"576":700,"577":701,"578":704,"579":705,"580":707,"581":709,"582":710,"583":713,"584":714,"585":716,"586":718,"587":722,"588":723,"589":727,"590":729,"591":730,"592":731,"593":732,"594":733,"595":735,"596":736,"597":739,"598":740,"599":745,"600":747,"601":754,"602":755,"603":756,"604":757,"605":758,"606":765,"607":767,"608":768,"609":770,"610":771,"611":772,"612":775,"613":776,"614":778,"615":781,"616":785,"617":786,"618":788,"619":789,"620":791,"621":792,"622":793,"623":794,"624":795,"625":798,"626":800,"627":803,"628":805,"629":806,"630":811,"631":813,"632":815,"633":816,"634":817,"635":819,"636":822,"637":824,"638":826,"639":829,"640":836,"641":841,"642":842,"643":853,"644":855,"645":860,"646":863,"647":864,"648":870,"649":875,"650":876,"651":883,"652":885,"653":888,"654":892,"655":894,"656":896,"657":900,"658":903,"659":906,"660":908,"661":910,"662":915,"663":916,"664":920,"665":925,"666":929,"667":936,"668":940,"669":942,"670":943,"671":944,"672":947,"673":948,"674":949,"675":950,"676":952,"677":953,"678":954,"679":955,"680":956,"681":957,"682":959,"683":960,"684":966,"685":967,"686":969,"687":973,"688":981,"689":986,"690":989,"691":994,"692":995,"693":996,"694":999,"695":1002,"696":1003,"697":1005,"698":1006,"699":1007,"700":1008,"701":1009,"702":1010,"703":1011,"704":1015,"705":1018,"706":1019,"707":1021,"708":1022,"709":1023,"710":1024,"711":1025,"712":1027,"713":1030,"714":1032,"715":1034,"716":1036,"717":1037,"718":1038,"719":1042,"720":1044,"721":1045,"722":1047,"723":1053,"724":1054,"725":1055,"726":1056,"727":1058,"728":1059,"729":1062,"730":1063,"731":1064,"732":1065,"733":1067,"734":1068,"735":1070,"736":1071,"737":1074,"738":1075,"739":1076,"740":1077,"741":1078,"742":1079,"743":1080,"744":1081,"745":1089,"746":1096,"747":1098,"748":1103,"749":1106,"750":1107,"751":1108,"752":1109,"753":1110,"754":1111,"755":1113,"756":1114,"757":1115,"758":1117,"759":1118,"760":1120,"761":1122,"762":1123,"763":1129,"764":1132,"765":1134,"766":1135,"767":1141,"768":1143,"769":1144,"770":1147,"771":1148,"772":1149,"773":1150},[42,47,52,61,71,80,84,96,104,129,139,155,160,165,199,212,228,235,248,252,258,264,265,272,276,282,288,304,309,324,327,349,354,370,374,385,393,403,407,420,453,476,503,514,522,526,539,542,546,559,561,568,576,577,586,588,590,592,594,595,597,599,601,607,608,609,612,616,620,625,629,633,634,641,643,644,646,662,663,666,668,683,686,688,692,695,699,702,706,708,711,715,717,726,734,737,741,743,744,749,750,753,759,763,764,766,769,774,782,783,784,796,801,804,808,809,812,814,827,828,830,833,835,837,838,839,845,847,848,850,857,859,866,868,871,873,880,881,882,884,890,893,897,899,901,904,907,909,911,918,919,922,923,924,926,927,931,937,938,946,958,963,970,972,974,978,979,982,992,993,997,1000,1012,1013,1016,1029,1031,1033,1035,1040,1041,1046,1050,1057,1060,1069,1073,1085,1087,1093,1095,1099,1101,1105,1112,1119,1121,1124,1125,1126,1127,1130,1133,1136,1137,1138,1139,1142,1145,1151],[39,44,554,591,598,604,610,652,659,672,693,712,719,725,728,748,779,797,799,810,818,825,831,832,849,852,856,861,862,867,869,874,879,886,887,895,898,912,913,914,921,932,933,939,951,961,964,965,977,983,984,990,991,1004,1017,1026,1039,1043,1049,1051,1066,1083,1086,1088,1091,1092,1100,1104],[585,589,593,621,622,627,630,642,670,724,760,787,802,820,834,840,844,851,858,865,872,877,889,891,928,934,968,971,985,998,1014,1028,1072,1082,1094,1097,1140,1146],[626,631,653,655,675,677,678,682,694,698,721,738,761,773,790,807,854,902,917,930,935,962,1020,1061,1090,1102,1116],[603,628,645,661,703,751,752,762,777,878,905,945,975,980,988,1001,1048,1084],{"0":676,"1":720,"2":746,"3":780,"4":821,"5":823,"7":976,"8":1052},[657,674,843,987,1128],{"1":1131},[]]