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