[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":8,"6":9,"7":10,"8":11,"9":12,"10":13,"12":15,"13":16,"14":17,"15":18,"16":19,"17":20,"18":21,"20":23,"21":24,"22":25,"23":26,"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":45,"42":46,"43":47,"44":49,"45":50,"46":51,"48":54,"49":55,"50":56,"51":57,"52":59,"53":60,"54":61,"55":62,"56":64,"57":65,"58":67,"59":68,"60":69,"61":70,"62":73,"63":74,"64":75,"65":76,"66":78,"67":80,"68":81,"69":83,"70":84,"71":85,"72":86,"73":88,"74":89,"75":90,"76":91,"77":92,"78":93,"79":94,"80":95,"81":96,"82":97,"83":98,"84":99,"85":101,"86":103,"87":104,"88":105,"89":106,"90":107,"91":108,"92":109,"93":111,"94":112,"95":113,"96":115,"97":116,"98":117,"99":119,"100":122,"101":123,"102":124,"103":126,"105":128,"106":129,"107":130,"108":133,"109":134,"110":135,"111":136,"112":137,"114":139,"115":141,"116":142,"117":143,"118":144,"119":145,"120":146,"121":148,"122":149,"123":151,"124":152,"125":153,"126":154,"127":156,"128":157,"129":158,"130":159,"131":160,"132":161,"133":162,"134":164,"135":165,"136":166,"137":168,"138":169,"139":171,"140":172,"141":173,"142":174,"143":175,"144":176,"145":179,"146":180,"147":182,"148":185,"149":186,"150":187,"151":188,"152":189,"153":191,"154":192,"155":193,"156":195,"157":197,"158":198,"159":199,"160":200,"161":201,"162":205,"163":206,"164":207,"165":208,"166":209,"167":210,"168":212,"169":214,"170":215,"171":219,"172":220,"173":222,"174":224,"175":225,"176":227,"177":228,"178":229,"179":230,"180":231,"181":232,"182":233,"183":234,"184":235,"185":236,"186":237,"187":238,"188":239,"189":240,"190":241,"191":242,"192":243,"193":244,"194":245,"195":246,"196":247,"197":248,"198":249,"199":250,"200":251,"201":252,"202":253,"203":254,"204":257,"205":258,"206":259,"208":261,"209":262,"210":263,"211":264,"212":265,"213":266,"214":268,"215":269,"216":271,"218":274,"219":275,"220":278,"222":281,"223":282,"224":284,"225":285,"226":286,"228":288,"229":289,"230":290,"231":291,"232":293,"233":294,"235":296,"236":297,"237":298,"238":299,"239":301,"240":302,"241":303,"242":304,"243":305,"244":307,"245":308,"246":309,"247":310,"248":312,"249":313,"250":314,"251":315,"252":318,"253":319,"254":320,"255":321,"256":322,"257":323,"258":324,"260":328,"261":329,"262":331,"263":332,"264":333,"265":335,"266":336,"267":338,"268":339,"269":340,"270":341,"271":342,"272":343,"273":344,"274":346,"275":347,"276":348,"277":349,"278":350,"279":352,"280":353,"282":357,"283":358,"284":359,"285":360,"286":361,"287":362,"288":363,"289":364,"290":366,"291":367,"292":368,"293":369,"294":370,"295":372,"296":373,"297":375,"298":376,"299":377,"300":378,"301":379,"302":380,"303":382,"304":383,"305":384,"306":385,"307":386,"308":387,"309":388,"312":391,"313":392,"314":393,"315":394,"316":396,"317":397,"318":399,"319":400,"320":402,"321":403,"322":405,"323":406,"324":407,"325":410,"326":413,"327":414,"328":416,"329":417,"330":418,"331":419,"332":420,"333":422,"334":424,"335":426,"336":429,"337":431,"338":432,"339":435,"340":436,"341":437,"342":439,"343":440,"344":441,"345":442,"346":444,"347":445,"348":448,"349":449,"350":450,"351":451,"352":453,"353":454,"354":455,"355":456,"356":457,"357":459,"358":460,"359":461,"360":463,"361":464,"362":469,"363":470,"364":471,"365":472,"366":473,"367":475,"368":477,"369":478,"370":480,"371":481,"372":482,"373":483,"374":485,"375":486,"376":487,"377":488,"378":490,"379":491,"380":493,"381":494,"382":495,"383":496,"384":497,"385":498,"386":501,"387":503,"388":504,"389":506,"390":508,"391":509,"392":510,"393":511,"394":513,"395":517,"396":519,"397":525,"398":526,"399":531,"400":535,"401":536,"402":537,"403":539,"404":540,"405":541,"406":542,"407":544,"408":545,"409":548,"410":549,"411":550,"412":553,"413":554,"414":555,"415":559,"416":561,"417":563,"418":568,"419":570,"420":571,"421":572,"422":574,"423":576,"424":577,"425":579,"426":580,"427":582,"428":584,"429":589,"430":590,"431":594,"432":596,"433":597,"434":601,"435":602,"436":606,"437":607,"438":609,"439":611,"440":613,"441":614,"442":615,"443":616,"444":620,"445":623,"446":625,"447":626,"448":632,"449":635,"450":636,"451":640,"452":641,"453":642,"454":643,"455":646,"456":650,"457":651,"458":652,"459":653,"460":654,"461":656,"462":658,"463":660,"464":661,"465":662,"466":664,"467":670,"468":672,"469":676,"470":679,"471":680,"472":681,"473":683,"474":687,"475":690,"476":700,"477":708,"478":709,"479":710,"480":714,"481":718,"482":719,"483":721,"484":722,"485":724,"486":725,"487":727,"488":730,"489":733,"490":735,"491":739,"492":742,"493":744,"494":745,"495":746,"496":747,"497":756,"498":757,"499":762,"500":765,"501":766,"502":768,"503":771,"504":772,"505":774,"506":779,"507":781,"508":782,"509":786,"510":788,"511":791,"512":794,"513":796,"514":797,"515":798,"516":799,"517":800,"518":801,"519":803,"520":804,"521":805,"522":806,"523":809,"524":810,"525":811,"526":812,"527":815,"528":816,"529":817,"530":818,"531":819,"532":820,"533":822,"534":823,"535":824,"536":825,"537":826,"538":827,"539":828,"540":829,"541":831,"542":832,"543":836,"544":839,"545":841,"546":845,"547":846,"548":847,"549":850,"550":851,"551":856,"552":857,"553":859,"554":862,"555":864,"556":867,"557":869,"558":871,"559":872,"560":878,"561":881,"562":886,"563":888,"564":890,"565":891,"566":893,"567":894,"568":896,"569":897,"570":898,"571":901,"572":902,"573":905,"574":907,"575":909,"576":910,"577":911,"578":912,"579":913,"580":915,"581":917,"582":922,"583":923,"584":925,"585":926,"586":927,"587":929,"588":931,"589":933,"590":934,"591":936,"592":938,"593":939,"594":943,"595":947,"596":950,"597":951,"598":956,"599":957,"600":962,"601":963,"602":964,"603":965,"604":966,"605":969,"606":970,"607":971,"608":972,"609":973,"610":979,"611":980,"612":987,"613":988,"614":989,"615":993,"616":995,"617":996,"618":997,"619":999,"620":1000,"621":1003,"622":1005,"623":1006,"624":1007,"625":1009,"626":1010,"627":1013,"628":1015,"629":1018,"630":1019,"631":1020,"632":1022,"633":1023},[5,6,37,48,52,58,63,66,72,77,82,87,102,110,114,118,120,121,125,131,132,147,155,163,167,170,177,178,181,183,190,196,202,203,204,211,213,216,217,218,221,223,226,255,256,267,270,273,276,277,279,292,300,306,311,316,317,326,334,337,345,351,355,365,371,374,381,398,401,404,408,409,411,412,415,421,423,425,427,428,430,433,434,438,443,446,447,452,458,462,465,466,467,468,474,479,484,489,492,499,500,502,507,515,520,522,523,529,530,532,533,546,547,551,552,556,558,560,562,564,567,569,573,578,585,593,595,598,599,603,604,608,610,612,617,619,621,624,627,628,629,630,631,634,637,638,639,644,645,647,648,655,659,665,667,668,671,674,675,677,682,686,689,691,692,693,694,696,697,698,699,701,702,706,707,713,720,723,726,728,731,732,734,736,737,740,741,749,750,751,752,758,759,761,763,773,775,780,783,784,789,793,795,802,808,813,821,830,833,834,835,837,842,843,844,848,849,852,853,858,860,863,868,870,874,875,879,880,882,884,885,887,889,892,895,899,900,904,906,916,918,920,921,924,935,941,942,945,946,948,952,953,954,958,960,968,974,976,977,981,982,983,985,990,992,994,998,1001,1002,1011,1021],{"0":7,"1":71,"2":79,"3":100,"4":140,"5":150,"6":184,"7":194,"8":283,"9":325,"10":330,"11":356,"12":395,"13":476,"14":505,"15":516,"16":521,"17":528,"18":538,"19":566,"20":581,"21":583,"22":587,"23":588,"24":591,"25":592,"26":605,"27":622,"28":633,"29":657,"30":663,"31":669,"32":673,"33":678,"34":685,"35":703,"36":704,"38":715,"39":717,"40":729,"41":738,"42":748,"43":764,"44":767,"45":769,"46":776,"47":777,"48":778,"49":785,"50":787,"51":790,"52":840,"53":854,"54":861,"55":873,"56":908,"57":919,"58":930,"59":932,"60":937,"61":940,"62":949,"63":967,"64":984,"65":1004,"66":1008,"67":1014,"68":1016,"69":1017},{"0":514,"1":524,"2":534,"3":543,"4":618,"6":684,"7":688,"8":754,"9":770,"10":855,"11":877,"12":883,"13":955,"14":959,"15":961,"16":975,"17":978,"18":991},[527,575,600,705,865,876,903,914,986],[512,649,743,755,760,838,944],[518,557,866],[565,695,753,792,814,928],{"0":712,"1":716,"3":1012},[586]]