[{"0":0,"1":1,"2":3,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"26":28,"27":29,"28":30,"29":31,"30":32,"32":34,"33":35,"34":36,"35":37,"36":38,"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":55,"52":56,"54":58,"55":59,"56":60,"57":61,"59":63,"60":64,"61":65,"62":66,"63":67,"64":68,"65":69,"66":70,"67":71,"68":72,"69":73,"70":74,"71":75,"72":76,"73":77,"74":78,"75":80,"76":81,"77":82,"78":83,"79":84,"80":85,"81":87,"82":89,"83":90,"84":91,"85":92,"86":93,"88":95,"89":96,"90":97,"91":98,"92":100,"93":101,"94":102,"95":103,"96":104,"97":105,"98":106,"99":107,"100":108,"101":109,"102":110,"103":111,"104":112,"105":113,"106":114,"107":115,"108":116,"109":118,"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":135,"127":136,"128":137,"129":138,"130":139,"131":140,"132":142,"133":143,"134":144,"135":145,"136":146,"137":147,"138":148,"139":149,"140":150,"141":152,"142":153,"143":154,"144":155,"145":156,"146":157,"147":158,"148":159,"149":160,"150":161,"151":162,"152":164,"153":165,"154":166,"155":167,"156":168,"157":169,"158":171,"159":172,"160":173,"161":174,"162":176,"163":177,"164":178,"165":179,"166":180,"167":181,"168":182,"169":183,"170":184,"171":185,"172":186,"173":187,"174":188,"175":189,"176":190,"177":191,"178":192,"179":193,"180":194,"181":195,"182":196,"183":197,"184":198,"185":200,"186":201,"187":202,"188":203,"189":204,"190":205,"191":206,"192":207,"193":208,"194":209,"195":210,"196":211,"197":212,"198":214,"200":216,"201":217,"202":218,"203":219,"204":220,"205":221,"206":222,"207":223,"208":224,"209":225,"210":226,"211":227,"212":228,"213":229,"214":230,"215":231,"216":232,"217":233,"218":234,"219":235,"221":237,"222":238,"223":240,"224":241,"225":242,"226":243,"227":244,"228":245,"229":246,"230":248,"231":249,"232":250,"233":251,"234":252,"235":253,"236":254,"237":255,"238":256,"239":257,"240":258,"241":259,"242":260,"243":261,"244":262,"245":263,"246":264,"247":265,"248":266,"249":267,"250":268,"251":269,"252":270,"253":271,"254":272,"255":273,"256":274,"257":275,"258":277,"259":278,"260":279,"261":280,"262":281,"263":282,"264":283,"265":284,"267":286,"268":287,"269":288,"270":289,"271":290,"272":292,"273":293,"274":294,"275":295,"276":296,"277":297,"278":298,"279":299,"280":300,"281":301,"282":302,"283":303,"284":304,"285":305,"286":306,"287":307,"288":308,"289":309,"290":310,"291":311,"292":312,"293":313,"294":314,"295":315,"297":317,"298":318,"299":319,"300":321,"301":322,"302":323,"303":324,"304":325,"305":326,"306":327,"307":328,"308":329,"309":330,"310":331,"311":332,"312":333,"313":334,"314":335,"315":337,"316":338,"317":339,"318":340,"319":341,"320":342,"321":343,"322":344,"323":345,"324":346,"325":347,"326":348,"327":349,"328":350,"329":351,"330":352,"331":353,"332":354,"333":355,"334":356,"335":357,"336":358,"337":359,"338":360,"339":361,"340":362,"341":363,"342":364,"343":365,"344":366,"345":367,"346":368,"347":369,"348":370,"349":371,"350":372,"351":373,"352":374,"353":375,"354":376,"355":377,"356":378,"357":379,"358":380,"359":381,"360":382,"361":383,"362":384,"363":386,"364":387,"365":388,"366":389,"367":390,"368":391,"369":392,"371":394,"372":395,"373":396,"374":397,"375":398,"376":399,"377":400,"378":401,"379":402,"380":403,"381":404,"382":405,"383":406,"384":407,"385":408,"386":409,"387":410,"388":411,"389":412,"390":413,"391":414,"392":415,"393":416,"394":417,"395":418,"396":419,"397":420,"398":421,"399":422,"400":423,"401":424,"402":425,"403":426,"404":427,"405":428,"406":429,"407":430,"408":431,"409":432,"410":433,"411":434,"412":435,"413":436,"414":437,"415":438,"416":439,"417":440,"418":441,"419":442,"420":443,"421":444,"422":445,"423":446,"424":447,"425":448,"426":449,"427":450,"428":451,"429":453,"430":454,"431":456,"432":457,"433":458,"434":459,"435":460,"436":462,"437":463,"438":465,"439":466,"440":467,"441":468,"442":469,"443":470,"444":471,"445":472,"446":473,"447":475,"448":476,"449":477,"450":478,"451":479,"452":480,"453":481,"454":483,"455":485,"456":486,"457":487,"458":489,"459":490,"460":491,"461":492,"462":493,"463":494,"464":495,"465":496,"466":497,"467":500,"468":501,"469":503,"470":504,"471":505,"472":506,"473":507,"474":508,"475":509,"476":510,"477":511,"478":512,"479":513,"480":515,"481":517,"482":518,"483":519,"484":520,"485":521,"486":522,"487":523,"488":525,"489":526,"490":529,"491":530,"492":533,"493":534,"494":541,"495":542,"496":544,"497":545,"498":549,"499":550,"500":551,"501":552,"502":554,"503":555,"504":556,"505":559,"506":560,"507":562,"508":563,"509":564,"510":567,"511":568,"512":569,"513":570,"514":571,"515":572,"516":573,"517":574,"518":576,"519":578,"520":579,"521":581,"522":584,"523":588,"524":589,"525":593,"526":594,"527":595,"528":599,"529":600,"530":606,"531":608,"532":612,"533":613,"534":614,"535":615,"536":616,"537":618,"538":619,"539":620,"540":621,"541":624,"542":625,"543":626,"544":628,"545":631,"546":633,"547":636,"548":641,"549":642,"550":644,"551":648,"552":649,"553":650,"554":651,"555":654,"556":658,"557":660,"558":661,"559":662,"560":663,"561":666,"562":668,"563":669,"564":677,"565":679,"566":684,"567":688,"568":690,"569":692,"570":697,"571":700,"572":701,"573":703,"574":704,"575":706,"576":707,"577":708,"578":712,"579":713,"580":723,"581":734,"582":735,"583":736,"584":738,"585":740,"586":742,"587":743,"588":747,"589":748,"590":751,"591":754,"592":758,"593":760,"594":765,"595":766,"596":768,"597":771,"598":772,"599":773,"600":774,"601":775,"602":779,"603":781,"604":783,"605":784,"606":785,"607":786,"608":788,"609":790,"610":791,"611":792,"612":793,"613":794,"614":795,"615":798,"616":801,"617":804,"618":806,"619":807,"620":808,"621":809,"622":810,"623":814,"624":815,"626":818,"627":819,"628":821,"629":822,"630":824,"631":828,"632":829,"633":835,"634":838,"635":840,"636":843,"637":845,"638":850,"639":851,"640":852,"641":854,"642":855,"643":856,"644":862,"645":864,"646":866,"647":867,"648":868,"649":869,"650":872,"651":873,"652":874,"653":875,"654":877,"655":882,"656":883,"657":886,"658":890,"659":893,"660":896,"661":897,"662":898,"663":899,"664":905,"665":906,"666":907,"667":908,"668":910,"669":911,"670":915,"671":918,"672":920,"673":924,"674":925,"675":926,"676":929,"677":935,"678":936,"679":938,"680":939,"681":943,"682":946,"683":947,"684":948,"685":949,"686":952,"687":956,"688":957,"689":959,"690":961,"691":966,"692":968,"693":969,"694":970,"695":972,"696":975,"697":976,"698":979,"699":981,"700":983,"701":986,"702":990,"703":991,"704":996,"705":997,"706":999,"707":1000,"708":1001,"709":1005,"710":1007,"711":1008,"712":1009,"713":1012,"714":1016,"715":1017,"716":1018,"717":1020,"718":1021},[2,27,53,54,79,86,99,117,141,151,163,170,175,199,213,239,247,276,291,320,336,385,452,455,461,464,474,482,484,488,498,499,502,516,527,528,536,538,540,543,546,553,557,561,577,582,586,591,601,602,604,605,610,622,623,629,635,639,646,647,656,671,672,678,682,693,698,702,714,717,720,721,726,727,728,731,732,746,749,752,756,757,763,767,777,797,799,800,802,803,805,811,827,834,837,841,844,849,853,857,860,863,865,870,878,879,887,888,891,900,904,909,912,914,916,922,927,932,941,942,944,950,953,960,962,967,971,977,1002,1015],[88,514,587,590,611,617,634,659,664,665,670,675,681,683,689,716,719,729,730,737,744,761,762,769,770,780,782,796,820,825,830,842,847,848,884,901,913,917,928,930,931,933,945,951,982,984,987,992,998,1003],{"0":539,"1":547,"2":558,"3":575,"4":592,"5":596,"6":603,"7":655,"8":657,"9":667,"10":673,"11":674,"12":676,"13":691,"14":695,"15":699,"16":710,"17":711,"18":718,"19":724,"20":725,"21":739,"22":741,"23":764,"24":812,"25":813,"26":816,"27":823,"28":831,"29":832,"30":839,"32":876,"33":895,"34":919,"35":921,"36":934,"37":937,"38":954,"39":973,"40":988,"41":993,"42":1004,"43":1022,"44":1023},[535,548,597,632,637,685,687,694,709,715,722,753,759,776,787,871,885,892,902,955,965,974,980],[531,532,537,565,585,598,630,705,750,836,846,880,881,958,963,985,1010,1011,1014],[566,580,583,640,645,733,755,778,826,833,858,964,978,994,1013],[627,652,653,680,696,745,894,940,995,1006,1019],[638,643,789,889,923],{"3":989},[]]