[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"13":13,"14":14,"15":15,"16":16,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"27":28,"28":29,"29":30,"30":31,"31":32,"32":33,"33":34,"34":35,"35":36,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":49,"48":50,"49":51,"50":52,"51":53,"52":54,"53":55,"54":56,"55":57,"56":58,"57":59,"58":60,"59":61,"60":62,"61":64,"62":65,"63":66,"64":67,"65":69,"66":72,"68":74,"69":75,"70":76,"71":77,"72":78,"73":79,"74":80,"75":81,"76":82,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"84":90,"85":91,"87":93,"88":94,"89":95,"90":96,"91":97,"92":98,"93":99,"94":100,"95":101,"96":102,"97":103,"98":105,"99":106,"100":107,"101":108,"102":109,"103":110,"104":111,"105":113,"106":114,"107":115,"109":117,"110":119,"111":120,"112":121,"113":122,"114":123,"115":124,"116":125,"117":126,"118":127,"119":128,"120":129,"121":130,"122":131,"123":132,"124":133,"125":134,"126":136,"127":137,"128":138,"129":140,"130":141,"131":142,"132":143,"133":144,"134":145,"135":146,"136":147,"137":149,"138":150,"139":151,"140":152,"141":153,"142":154,"143":155,"144":156,"145":157,"146":158,"147":159,"148":161,"149":162,"150":164,"151":165,"152":166,"154":169,"155":170,"156":171,"157":172,"158":174,"159":175,"160":176,"162":179,"164":181,"165":182,"166":183,"167":184,"168":185,"169":186,"170":187,"171":188,"172":189,"173":190,"174":191,"175":192,"176":193,"177":194,"178":195,"179":196,"180":197,"181":198,"182":199,"183":200,"184":202,"185":203,"186":204,"187":205,"188":206,"189":207,"190":208,"191":209,"192":210,"193":211,"194":213,"195":214,"196":215,"197":216,"198":217,"199":218,"200":219,"201":220,"202":221,"203":222,"204":223,"205":224,"206":225,"207":226,"208":227,"209":228,"210":230,"211":231,"212":232,"213":233,"214":234,"215":236,"216":237,"217":238,"218":239,"219":240,"220":241,"221":242,"222":243,"223":244,"224":245,"225":247,"226":248,"227":249,"228":250,"229":251,"230":252,"231":253,"232":254,"233":255,"234":256,"235":257,"236":258,"237":259,"238":260,"239":261,"240":262,"241":263,"243":265,"244":266,"245":267,"246":268,"247":269,"248":270,"249":271,"250":272,"251":273,"252":274,"253":275,"254":276,"255":277,"256":278,"257":279,"258":280,"259":281,"260":282,"261":283,"262":284,"263":286,"264":287,"265":288,"266":289,"267":290,"268":291,"270":293,"272":295,"273":296,"274":298,"275":299,"276":300,"277":301,"278":304,"279":305,"280":306,"281":307,"282":308,"283":309,"284":310,"285":311,"286":312,"287":313,"288":314,"289":315,"290":316,"291":317,"292":318,"294":320,"295":321,"296":322,"297":323,"298":324,"299":325,"300":326,"301":327,"302":328,"303":329,"304":330,"305":331,"306":332,"307":333,"308":334,"310":336,"311":338,"312":339,"313":340,"314":341,"315":342,"316":343,"317":344,"318":345,"319":346,"320":347,"321":349,"322":350,"323":351,"324":352,"325":353,"326":354,"327":355,"328":357,"329":358,"330":359,"331":361,"332":362,"333":363,"334":364,"335":365,"336":366,"337":367,"338":368,"339":370,"340":371,"341":372,"342":373,"343":374,"344":375,"345":376,"346":377,"347":378,"348":379,"349":380,"350":381,"351":382,"352":383,"353":384,"355":387,"357":389,"358":390,"359":391,"360":392,"361":393,"362":394,"363":395,"364":396,"365":397,"366":398,"367":399,"368":400,"369":401,"370":402,"371":403,"372":404,"373":405,"374":406,"375":407,"376":408,"377":409,"378":410,"379":411,"381":413,"382":414,"383":415,"384":416,"385":417,"386":418,"387":419,"388":420,"389":421,"390":422,"391":423,"392":424,"393":425,"394":426,"395":427,"396":428,"397":429,"398":430,"399":431,"400":432,"401":433,"402":434,"403":435,"404":436,"405":437,"406":438,"407":439,"409":441,"410":442,"411":443,"412":444,"413":445,"414":446,"415":447,"416":448,"417":449,"418":450,"419":451,"420":452,"421":453,"422":454,"423":455,"424":456,"425":457,"426":458,"427":459,"428":460,"429":461,"430":462,"431":463,"432":464,"433":465,"434":466,"436":468,"437":469,"438":470,"439":471,"440":472,"441":473,"442":474,"443":475,"444":476,"445":477,"446":478,"447":479,"448":480,"449":481,"450":482,"451":483,"452":484,"453":485,"454":486,"455":487,"456":488,"457":490,"458":491,"459":492,"460":493,"461":494,"462":495,"463":496,"464":497,"465":498,"466":499,"467":501,"468":502,"469":503,"470":504,"471":505,"472":506,"473":507,"474":508,"475":509,"476":510,"477":511,"478":515,"479":516,"480":520,"481":521,"482":530,"483":537,"484":539,"485":545,"486":546,"487":552,"488":557,"489":561,"490":563,"491":564,"492":567,"493":572,"494":573,"495":577,"496":588,"497":593,"498":597,"499":598,"500":599,"501":600,"502":602,"503":610,"504":613,"505":629,"506":631,"507":632,"508":640,"509":643,"510":646,"511":649,"512":654,"513":655,"514":658,"515":661,"516":667,"517":670,"518":672,"519":679,"520":681,"521":683,"522":687,"523":692,"524":695,"525":696,"526":701,"527":703,"528":708,"529":709,"530":711,"531":712,"532":721,"533":723,"534":724,"535":725,"536":728,"537":730,"538":733,"539":735,"540":737,"541":742,"542":747,"543":759,"544":761,"545":764,"546":765,"547":766,"548":775,"549":777,"550":778,"551":779,"552":781,"553":782,"554":786,"555":792,"556":793,"557":794,"558":795,"559":798,"560":802,"561":803,"562":807,"563":810,"564":813,"565":821,"566":829,"567":831,"568":832,"569":835,"570":837,"571":838,"572":843,"573":844,"574":847,"575":848,"576":850,"577":851,"578":853,"579":860,"580":865,"581":868,"582":874,"583":876,"584":877,"585":881,"586":882,"587":883,"588":888,"589":890,"590":891,"591":892,"592":897,"593":899,"594":900,"595":905,"596":914,"597":915,"598":918,"599":921,"600":924,"601":925,"602":929,"603":935,"604":937,"605":938,"606":940,"607":949,"608":955,"609":957,"610":960,"611":964,"612":970,"613":973,"614":975,"615":976,"616":977,"617":979,"618":980,"619":984,"620":985,"621":986,"622":991,"623":994,"624":995,"625":997,"626":1002,"627":1005,"628":1007,"629":1012,"630":1017},[17,37,63,68,70,71,104,112,118,135,139,148,160,163,167,177,201,212,229,235,246,285,297,302,303,337,348,356,360,369,385,489,517,519,522,523,525,529,532,533,534,538,540,542,543,548,549,551,554,555,556,559,562,565,569,570,571,574,579,580,582,583,586,591,592,594,601,606,607,609,611,612,614,616,620,624,625,626,630,634,641,647,648,650,652,660,662,663,671,678,685,686,688,694,699,704,714,717,719,720,722,726,727,732,739,743,748,749,752,753,755,756,760,762,772,774,784,785,789,790,796,797,800,801,805,809,816,817,819,820,823,824,825,827,833,839,840,841,846,849,852,854,858,861,869,871,872,875,878,885,887,893,894,906,907,909,912,917,919,928,930,931,932,939,942,946,948,951,952,959,961,962,963,965,966,969,971,972,978,982,987,990,1003,1009,1011,1014,1020],{"0":173,"1":500,"2":514,"3":518,"4":528,"5":536,"6":541,"7":547,"8":576,"9":578,"10":581,"11":585,"12":587,"13":603,"14":608,"15":615,"16":619,"17":622,"18":628,"19":633,"20":644,"21":651,"22":653,"23":656,"24":659,"25":666,"26":668,"27":669,"28":674,"29":676,"30":677,"31":680,"32":689,"33":690,"34":693,"35":698,"36":702,"37":705,"38":707,"39":715,"40":745,"41":746,"42":751,"43":754,"44":767,"45":768,"46":770,"47":776,"48":783,"49":787,"50":791,"51":799,"52":804,"53":806,"54":808,"55":812,"56":822,"57":826,"58":828,"59":834,"60":836,"61":856,"62":857,"63":859,"64":866,"65":867,"66":873,"67":879,"68":880,"69":889,"70":895,"71":896,"72":904,"73":911,"74":922,"75":926,"76":934,"77":947,"78":950,"80":956,"81":958,"82":967,"83":974,"84":993,"85":996,"86":999,"87":1000,"88":1001,"89":1004,"90":1008,"91":1010,"92":1016,"93":1022},{"0":535,"1":553,"2":584,"3":590,"4":604,"5":617,"6":621,"7":637,"8":638,"9":645,"10":665,"11":682,"12":684,"13":691,"14":710,"15":713,"16":716,"17":718,"18":731,"19":736,"21":741,"22":744,"23":750,"24":769,"25":771,"26":773,"27":788,"28":814,"30":830,"31":845,"32":855,"33":862,"34":864,"35":886,"36":903,"37":908,"38":913,"39":920,"40":933,"41":936,"42":943,"43":944,"44":953,"45":968,"46":981,"47":983,"48":989,"49":998,"50":1006,"51":1015,"52":1018,"53":1019,"54":1023},{"0":512,"1":524,"2":526,"3":527,"4":558,"6":568,"7":595,"8":605,"9":623,"10":642,"11":675,"12":697,"13":706,"14":734,"15":898,"16":910,"17":916,"18":927,"19":945,"20":992,"21":1013},[544,575,589,596,636,657,664,673,729,763,815,842,901,988,1021],[560,618,635,639,740,757,758,863,870,923,941],[513,550,627,700,811,884],{"1":780,"2":902}]