[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":9,"9":10,"10":13,"11":15,"12":16,"13":17,"14":19,"15":20,"16":21,"17":22,"18":24,"19":25,"20":26,"21":27,"22":28,"23":29,"24":30,"25":31,"26":34,"27":35,"28":36,"29":37,"30":39,"31":40,"32":43,"33":44,"34":45,"35":47,"36":48,"37":49,"38":50,"39":51,"40":52,"41":53,"42":54,"43":55,"44":56,"45":57,"46":58,"47":59,"48":60,"49":61,"50":62,"51":64,"52":65,"53":66,"54":67,"55":68,"56":69,"57":70,"58":71,"59":72,"60":73,"61":74,"62":75,"63":77,"64":78,"65":79,"66":80,"67":81,"68":82,"69":83,"70":84,"71":85,"72":86,"73":88,"74":89,"75":90,"76":91,"77":92,"78":93,"79":94,"80":95,"81":96,"82":97,"83":99,"84":102,"85":103,"86":104,"87":105,"88":106,"89":107,"90":109,"91":110,"92":111,"93":112,"94":113,"95":114,"96":115,"97":116,"98":117,"99":119,"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":136,"115":138,"116":139,"117":141,"118":142,"119":143,"120":144,"121":145,"122":146,"123":147,"124":148,"125":150,"126":151,"127":154,"128":155,"129":156,"130":157,"131":158,"132":159,"133":160,"134":161,"135":162,"136":163,"137":165,"138":166,"139":167,"140":168,"141":169,"142":170,"143":171,"144":172,"145":173,"146":175,"147":176,"148":177,"149":178,"150":179,"151":181,"152":182,"153":183,"154":184,"155":185,"156":187,"157":188,"158":189,"159":190,"160":191,"161":193,"162":195,"163":197,"164":198,"165":200,"166":201,"167":202,"168":205,"169":207,"170":208,"171":210,"172":211,"173":212,"174":213,"175":214,"176":215,"177":216,"178":217,"179":218,"180":220,"181":221,"182":222,"183":223,"184":225,"185":226,"186":227,"187":228,"188":229,"189":230,"190":231,"191":232,"192":233,"193":235,"194":236,"195":237,"196":239,"197":240,"198":241,"199":243,"200":244,"201":245,"202":247,"203":248,"204":249,"205":250,"206":251,"207":252,"208":253,"209":254,"210":255,"211":256,"212":257,"213":260,"214":261,"215":262,"216":263,"217":264,"218":265,"219":266,"220":267,"221":269,"222":270,"223":271,"224":272,"225":273,"226":274,"227":276,"228":277,"229":279,"230":280,"231":282,"232":283,"233":284,"234":286,"235":287,"236":288,"237":289,"238":290,"239":291,"240":293,"241":294,"242":295,"243":296,"244":297,"245":301,"246":302,"247":303,"248":304,"249":305,"250":306,"251":307,"252":309,"253":310,"254":311,"255":313,"256":314,"257":315,"258":316,"259":317,"260":318,"261":319,"262":321,"263":322,"264":323,"265":325,"266":329,"267":330,"268":333,"269":334,"270":335,"271":338,"272":340,"273":341,"274":342,"275":343,"276":344,"277":345,"278":346,"279":347,"280":348,"281":349,"282":351,"283":352,"284":353,"285":355,"286":356,"287":357,"288":358,"289":360,"290":361,"291":362,"292":363,"293":364,"294":365,"295":366,"296":367,"297":368,"298":369,"299":370,"300":371,"301":372,"302":373,"303":374,"304":375,"305":376,"306":377,"307":378,"308":379,"309":380,"310":382,"311":383,"312":385,"313":386,"314":388,"315":389,"316":390,"317":391,"318":393,"319":395,"320":396,"321":397,"322":398,"323":400,"324":401,"325":402,"326":404,"328":406,"329":407,"330":408,"331":409,"332":410,"333":411,"335":413,"336":414,"337":415,"338":416,"339":417,"340":418,"341":419,"342":420,"343":421,"344":422,"345":423,"346":424,"347":425,"348":426,"349":427,"350":428,"351":429,"352":430,"353":431,"354":433,"355":435,"356":437,"357":438,"358":440,"359":441,"360":442,"361":444,"362":446,"363":447,"364":448,"365":449,"366":450,"367":451,"368":452,"369":453,"370":454,"371":455,"372":456,"373":457,"374":458,"375":459,"376":460,"377":461,"378":462,"379":463,"380":465,"381":466,"382":467,"383":468,"384":469,"385":470,"386":471,"387":472,"388":473,"389":474,"390":475,"391":478,"392":479,"393":480,"394":481,"395":482,"396":483,"397":485,"398":486,"399":487,"400":488,"401":489,"402":492,"403":493,"404":494,"405":495,"406":498,"407":499,"408":500,"409":502,"410":503,"411":505,"412":506,"413":508,"414":510,"415":511,"416":512,"417":514,"418":516,"419":518,"420":519,"421":521,"422":522,"423":523,"424":524,"425":525,"426":526,"427":528,"428":529,"429":530,"430":531,"431":532,"432":533,"433":534,"434":536,"435":537,"436":542,"437":543,"438":544,"439":545,"440":546,"441":547,"442":551,"443":554,"444":555,"445":558,"446":559,"447":561,"448":562,"449":564,"450":565,"451":567,"452":568,"453":570,"454":571,"455":572,"456":573,"457":574,"458":575,"459":577,"460":579,"461":580,"462":581,"463":586,"464":587,"465":591,"466":592,"467":593,"468":595,"469":596,"470":597,"471":605,"472":606,"473":609,"474":610,"475":611,"476":612,"477":613,"478":615,"479":619,"480":623,"481":628,"482":629,"483":630,"484":631,"485":638,"486":641,"487":645,"488":648,"489":652,"490":653,"491":654,"492":657,"493":658,"494":659,"495":666,"496":671,"497":672,"498":674,"499":675,"500":676,"501":678,"502":679,"503":681,"504":682,"505":683,"506":686,"507":688,"508":689,"509":690,"510":692,"511":694,"512":697,"513":703,"514":704,"515":706,"516":709,"517":713,"518":718,"519":719,"520":722,"521":723,"522":725,"523":726,"524":731,"525":737,"526":738,"527":739,"528":741,"529":743,"530":744,"531":747,"532":755,"533":756,"534":757,"535":758,"536":759,"537":765,"538":770,"539":776,"540":778,"541":780,"542":783,"543":784,"544":785,"545":787,"546":793,"547":795,"548":798,"549":799,"550":800,"551":801,"552":802,"553":803,"554":805,"555":806,"556":807,"557":808,"558":810,"559":811,"560":818,"561":820,"562":822,"563":830,"564":831,"565":832,"566":834,"567":839,"568":842,"569":847,"570":851,"571":853,"572":856,"573":861,"574":869,"575":875,"576":879,"577":881,"578":883,"579":885,"580":889,"581":892,"582":897,"583":898,"584":900,"585":901,"586":904,"587":906,"588":910,"589":914,"590":917,"591":925,"592":927,"593":930,"594":934,"595":938,"596":941,"597":942,"598":943,"599":944,"600":945,"601":948,"602":952,"603":953,"604":954,"605":958,"606":960,"607":962,"608":965,"609":968,"610":969,"611":971,"612":973,"613":976,"614":977,"615":979,"616":980,"617":984,"618":985,"619":993,"620":997,"621":998,"622":999,"623":1000,"624":1002,"625":1005,"626":1006,"627":1007,"628":1008,"629":1009,"630":1010,"631":1015,"632":1016,"633":1017,"634":1018,"635":1019,"636":1020,"637":1021,"638":1023,"639":1024,"640":1028,"641":1029,"642":1032,"643":1034,"644":1038,"645":1041,"646":1042,"647":1043,"648":1045,"649":1047,"650":1048,"651":1052,"652":1054,"653":1061,"654":1063,"655":1065,"656":1067,"657":1071,"658":1072,"659":1074,"660":1075,"661":1076,"662":1077,"663":1078,"664":1079,"665":1085,"666":1088,"667":1091,"668":1094,"669":1095,"670":1098,"671":1099,"672":1100,"673":1102,"674":1103,"675":1104,"676":1105,"677":1107,"678":1110,"679":1115,"680":1116,"681":1119,"682":1122,"683":1127,"684":1129,"685":1131,"686":1133,"687":1134,"688":1135,"689":1140},[8,11,12,14,18,23,32,33,38,41,42,46,63,87,98,100,101,108,118,134,135,137,140,149,152,153,164,174,180,186,192,194,196,199,203,204,206,209,219,224,234,238,242,246,258,259,268,275,278,281,285,292,298,299,300,308,312,320,324,326,327,328,331,332,336,337,339,350,354,359,381,384,387,399,403,432,434,436,439,443,445,464,476,477,484,490,491,496,497,501,504,507,509,513,515,517,527,535,538,539,540,541,548,549,550,552,553,556,557,560,563,569,576,578,584,588,590,594,600,603,608,614,617,618,622,624,625,627,632,636,639,642,644,647,655,660,665,667,668,669,673,677,680,685,687,693,695,698,701,702,705,708,710,714,715,717,721,724,729,730,732,735,736,740,745,746,750,754,760,762,766,775,779,782,786,796,804,813,815,819,821,823,825,826,828,833,835,840,841,843,844,845,848,849,852,857,859,860,862,864,867,868,870,871,873,876,877,882,888,896,899,902,907,908,909,911,912,913,915,918,920,921,924,926,928,929,933,936,937,939,940,949,950,951,955,956,957,967,972,974,995,996,1001,1003,1011,1012,1014,1025,1027,1031,1033,1039,1050,1051,1055,1056,1058,1064,1068,1069,1073,1080,1082,1084,1087,1089,1092,1096,1112,1113,1114,1117,1124,1125,1128,1130,1132,1136,1138,1139,1143,1145,1147,1149],[76,392,394,520,566,582,583,589,601,602,626,634,643,649,651,656,661,662,663,664,670,712,716,720,742,753,761,764,767,769,771,772,788,789,792,794,797,827,829,836,838,850,855,865,884,887,890,891,894,903,916,919,922,923,932,935,946,947,961,963,966,970,983,986,989,990,992,1004,1022,1026,1030,1037,1059,1060,1066,1081,1101,1106,1108,1109,1111,1123,1126,1142,1146,1148,1150],[585,598,604,607,616,621,637,640,646,691,696,700,707,711,727,733,734,748,751,752,773,791,809,812,854,863,874,878,880,886,895,931,975,978,982,987,994,1013,1035,1040,1044,1053,1083,1086,1090,1093,1097,1118,1120,1121,1144],[599,633,635,684,728,763,768,781,790,814,816,817,824,837,846,872,988,991,1046,1062,1070,1137,1151],[620,749,777,858,866,905,964,981,1036,1049,1141],[650,699,774,893,959],[1057]]