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