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