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