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