[{"0":0,"1":1,"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":29,"28":30,"29":32,"31":34,"32":35,"33":36,"34":37,"35":38,"36":39,"37":40,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"44":48,"45":49,"46":50,"47":51,"48":52,"49":53,"50":54,"51":56,"52":58,"53":59,"54":60,"55":61,"56":62,"57":63,"58":64,"59":65,"60":66,"61":67,"62":68,"64":71,"65":72,"66":73,"67":74,"68":75,"69":76,"70":77,"71":78,"72":79,"73":80,"74":81,"75":82,"76":83,"78":85,"79":86,"80":87,"81":88,"82":89,"83":90,"84":91,"85":92,"86":93,"87":95,"88":96,"89":97,"90":98,"91":99,"92":100,"93":101,"94":102,"95":103,"96":104,"97":105,"98":107,"99":108,"100":109,"101":111,"102":112,"103":114,"104":115,"105":116,"106":117,"107":118,"108":119,"109":120,"110":121,"111":122,"112":123,"113":124,"115":126,"116":128,"117":129,"118":130,"119":131,"120":132,"121":133,"122":134,"123":135,"124":136,"125":137,"126":138,"127":139,"128":140,"129":142,"130":143,"131":144,"132":145,"133":146,"134":147,"135":148,"136":149,"137":150,"138":151,"139":152,"140":153,"141":154,"142":155,"143":156,"144":157,"145":159,"146":160,"147":161,"148":162,"149":163,"150":164,"151":165,"152":166,"153":167,"154":168,"155":170,"156":171,"157":172,"158":173,"159":174,"160":175,"161":176,"162":177,"163":178,"164":179,"165":180,"167":182,"168":184,"169":185,"171":188,"172":189,"173":190,"174":191,"175":193,"176":197,"177":198,"178":199,"179":200,"180":202,"181":203,"182":204,"183":206,"184":207,"185":208,"186":210,"187":211,"188":212,"189":213,"190":214,"191":215,"192":216,"193":217,"194":218,"195":219,"196":220,"197":221,"198":222,"199":224,"200":225,"201":226,"202":230,"203":231,"204":232,"205":233,"206":234,"207":237,"208":238,"209":239,"210":240,"211":241,"212":242,"213":243,"214":244,"215":245,"216":246,"217":247,"218":248,"219":249,"220":250,"221":251,"222":253,"223":254,"224":255,"225":256,"226":257,"227":258,"228":260,"230":263,"231":264,"232":265,"233":266,"234":267,"235":268,"236":269,"237":270,"238":271,"239":272,"240":273,"241":274,"242":277,"243":278,"244":279,"245":280,"246":281,"247":282,"248":283,"249":284,"250":285,"251":287,"252":288,"253":290,"254":291,"255":292,"256":294,"257":295,"258":296,"259":297,"260":298,"261":300,"262":302,"263":304,"264":305,"265":307,"266":308,"267":309,"268":310,"270":312,"271":313,"272":314,"273":315,"274":316,"275":317,"276":319,"277":320,"278":321,"279":323,"280":324,"281":326,"282":327,"284":330,"285":331,"286":333,"287":334,"288":335,"289":336,"290":337,"291":338,"292":339,"293":340,"294":341,"295":342,"296":343,"297":344,"298":345,"299":346,"300":347,"301":348,"302":349,"303":352,"304":353,"305":354,"306":355,"307":356,"308":357,"309":358,"310":359,"311":360,"312":361,"313":362,"314":363,"315":364,"316":365,"317":366,"318":367,"319":368,"320":369,"321":370,"323":372,"324":373,"325":374,"326":375,"327":376,"328":377,"329":379,"330":380,"331":381,"332":382,"333":385,"334":387,"336":389,"337":390,"338":391,"339":392,"340":393,"341":396,"342":397,"343":398,"344":399,"345":400,"346":401,"347":402,"348":404,"349":405,"350":406,"351":407,"352":408,"353":409,"354":410,"355":411,"357":415,"358":416,"359":417,"360":418,"361":419,"362":420,"363":421,"364":422,"365":423,"366":424,"367":425,"368":426,"369":427,"370":428,"371":429,"372":430,"373":431,"374":433,"375":435,"376":436,"377":437,"378":438,"379":439,"380":440,"381":441,"382":442,"383":443,"384":444,"385":446,"387":448,"388":449,"389":450,"390":451,"391":452,"392":453,"393":454,"394":455,"395":456,"396":458,"397":461,"398":462,"399":463,"400":464,"401":465,"402":466,"403":467,"404":468,"405":469,"406":470,"407":471,"408":472,"409":473,"410":474,"411":476,"412":479,"413":480,"414":481,"415":482,"416":483,"417":484,"418":485,"419":486,"421":488,"422":490,"423":491,"424":492,"425":493,"426":494,"427":495,"428":496,"429":497,"430":499,"431":500,"432":501,"433":502,"434":503,"435":505,"436":506,"437":507,"438":508,"439":509,"440":510,"441":511,"442":514,"443":521,"444":525,"445":532,"446":539,"447":548,"448":554,"449":556,"450":566,"451":572,"452":581,"453":582,"454":585,"455":587,"456":588,"457":591,"458":594,"459":599,"460":601,"461":602,"462":603,"463":604,"464":607,"465":609,"466":610,"467":617,"468":619,"469":623,"470":628,"471":632,"472":635,"473":636,"474":637,"475":639,"476":640,"477":644,"478":645,"479":651,"480":658,"481":659,"482":662,"483":664,"484":670,"485":672,"486":673,"487":675,"488":680,"489":683,"490":684,"491":689,"492":690,"493":691,"494":692,"495":695,"496":702,"497":710,"498":711,"499":712,"500":715,"501":718,"502":719,"503":720,"504":722,"505":723,"506":725,"507":726,"508":727,"509":728,"510":729,"511":735,"512":736,"513":738,"514":746,"515":747,"516":753,"517":754,"518":755,"519":756,"520":758,"521":759,"522":761,"523":766,"524":769,"525":772,"526":773,"527":775,"528":776,"529":777,"530":781,"531":787,"532":790,"533":796,"534":805,"535":806,"536":811,"537":814,"538":823,"539":825,"540":827,"541":829,"542":830,"543":839,"544":840,"545":841,"546":842,"547":843,"548":844,"549":845,"550":846,"551":848,"552":850,"553":851,"554":853,"555":854,"556":855,"557":861,"558":866,"559":870,"560":871,"561":875,"562":887,"563":889,"564":894,"565":897,"566":899,"567":911,"568":917,"569":925,"570":926,"571":927,"572":928,"573":930,"574":934,"575":936,"576":938,"577":940,"578":943,"579":946,"580":949,"581":950,"582":953,"583":954,"584":956,"585":963,"586":966,"587":968,"588":969,"589":975,"590":976,"591":977,"592":978,"593":982,"594":989,"595":998,"596":1005,"597":1010,"598":1013,"599":1017,"600":1018,"601":1020},[2,13,31,41,55,57,69,94,106,110,113,127,141,158,183,187,192,194,195,196,201,205,209,223,227,228,229,235,236,252,259,262,275,276,286,289,293,299,301,303,306,318,322,325,350,351,378,384,386,394,395,403,413,414,432,434,445,457,459,460,475,477,478,489,498,504,512,513,515,516,517,519,523,524,526,527,529,530,536,537,541,544,546,551,553,555,558,561,564,565,569,571,576,577,578,579,580,593,595,596,597,600,605,608,613,614,616,618,622,624,631,633,638,642,646,649,650,653,654,655,657,661,666,667,668,676,677,685,686,693,694,699,701,703,707,708,709,714,716,724,731,732,733,734,737,739,741,744,745,748,749,751,752,762,763,764,765,770,771,780,782,783,786,788,791,792,794,797,801,802,803,813,815,816,819,820,822,828,831,834,835,838,852,860,865,869,873,877,879,880,881,884,888,891,892,893,895,896,900,902,905,906,909,912,916,918,919,920,921,922,923,924,929,931,932,935,941,947,948,952,955,957,960,962,964,965,971,972,973,980,983,988,990,992,993,995,996,999,1003,1004,1006,1007,1008,1012,1019,1021,1023],[169,328,332,383,533,534,535,538,540,542,543,545,547,549,552,557,559,562,567,570,575,583,584,586,590,611,612,625,627,634,641,643,647,652,660,671,678,679,681,682,688,696,697,698,713,717,721,730,742,750,767,774,778,779,784,789,793,795,799,807,808,810,812,817,818,821,824,826,832,833,836,837,847,849,863,872,874,882,886,901,903,904,910,913,939,944,958,959,961,967,970,974,981,984,985,991,997,1000,1001,1002,1009,1011,1022],[518,520,528,531,550,560,568,573,574,589,606,615,626,630,648,669,700,704,705,740,768,804,856,857,864,868,876,878,883,885,890,898,907,914,915,933,937,942,945,951,979,986,987,994,1015],[592,598,621,629,656,663,674,687,706,760,785,800,809,862,908,1014],[563,620,665,743,757,858,1016],[522,798,859]]