[{"0":1,"1":2,"2":4,"3":5,"4":7,"5":8,"6":9,"7":10,"8":11,"9":12,"10":13,"11":15,"13":19,"14":20,"15":21,"16":22,"17":23,"18":24,"19":25,"20":26,"21":27,"22":28,"23":29,"24":30,"25":31,"26":33,"27":34,"28":35,"29":38,"30":40,"31":41,"32":42,"33":43,"34":44,"35":46,"36":47,"37":48,"38":49,"39":50,"40":51,"41":52,"42":53,"43":55,"44":56,"45":57,"46":58,"47":59,"48":60,"49":61,"50":62,"51":63,"52":64,"54":66,"55":67,"56":68,"57":70,"58":71,"59":72,"60":73,"61":74,"62":75,"63":76,"64":78,"65":79,"66":81,"68":84,"69":85,"70":86,"71":87,"72":88,"73":90,"74":91,"75":93,"76":94,"77":96,"78":97,"79":99,"80":100,"81":101,"82":102,"83":103,"84":104,"85":105,"86":106,"87":108,"88":109,"89":110,"91":112,"92":113,"95":117,"96":119,"97":120,"98":121,"99":122,"100":124,"101":125,"102":126,"104":129,"105":130,"106":131,"107":132,"109":134,"110":135,"112":138,"113":139,"114":140,"116":142,"117":143,"118":144,"119":145,"120":146,"121":147,"122":148,"123":149,"124":150,"125":151,"126":152,"127":154,"128":155,"129":156,"130":157,"131":158,"132":159,"133":160,"134":161,"135":162,"136":163,"137":164,"138":165,"139":166,"140":167,"141":168,"142":169,"143":171,"144":172,"145":173,"146":174,"147":175,"148":177,"149":178,"150":179,"151":180,"152":181,"153":182,"154":184,"155":185,"156":186,"157":187,"159":189,"160":190,"162":192,"163":193,"164":194,"165":195,"166":196,"167":197,"168":200,"169":201,"170":202,"171":203,"172":204,"173":205,"174":206,"175":207,"176":208,"177":209,"178":210,"179":211,"180":212,"181":213,"182":214,"183":216,"184":217,"185":218,"186":219,"187":220,"188":221,"189":223,"190":224,"191":226,"192":227,"193":228,"194":229,"195":230,"196":231,"197":233,"198":234,"199":235,"200":236,"201":237,"202":238,"203":239,"204":240,"205":241,"206":242,"207":243,"208":244,"209":245,"210":246,"211":248,"212":249,"213":250,"214":251,"215":252,"216":253,"218":257,"219":258,"220":259,"221":260,"222":261,"223":262,"224":263,"225":264,"226":265,"227":266,"228":268,"229":269,"230":270,"231":271,"232":272,"233":273,"234":275,"235":276,"236":278,"237":279,"238":280,"239":281,"240":282,"241":283,"243":285,"244":286,"245":287,"246":289,"247":290,"248":291,"249":292,"250":293,"251":294,"252":295,"253":296,"254":297,"255":298,"256":300,"257":301,"258":302,"259":303,"260":304,"261":305,"262":306,"263":308,"264":309,"265":311,"266":314,"267":315,"268":316,"269":317,"270":318,"271":319,"272":320,"273":321,"274":322,"275":323,"276":325,"277":326,"278":327,"279":328,"280":329,"281":330,"282":331,"283":332,"284":333,"285":334,"286":335,"287":336,"288":337,"289":338,"290":339,"291":340,"292":341,"293":342,"294":343,"295":344,"296":346,"297":349,"298":350,"299":352,"300":353,"301":354,"302":355,"303":356,"304":357,"305":359,"306":360,"307":361,"308":362,"309":365,"310":367,"312":370,"313":371,"314":373,"315":374,"317":376,"318":377,"319":378,"320":379,"321":380,"322":381,"323":383,"324":384,"325":385,"326":386,"327":387,"328":388,"331":392,"332":393,"333":394,"334":396,"335":397,"336":398,"337":399,"338":400,"339":401,"340":403,"341":404,"342":405,"343":406,"344":407,"345":408,"346":409,"347":413,"348":414,"349":415,"350":416,"351":417,"352":418,"353":419,"354":420,"355":421,"356":422,"357":423,"358":424,"359":425,"360":426,"361":427,"362":429,"363":430,"364":431,"365":432,"366":433,"367":434,"368":435,"369":436,"370":437,"371":438,"372":439,"374":441,"375":442,"376":444,"377":445,"378":447,"379":449,"380":450,"381":451,"382":452,"383":453,"384":454,"385":455,"386":456,"387":457,"388":458,"389":459,"390":461,"391":463,"392":464,"393":465,"394":466,"395":467,"396":468,"397":469,"398":470,"399":472,"400":473,"401":474,"402":475,"403":476,"404":477,"405":478,"406":479,"407":482,"408":483,"409":484,"410":485,"411":487,"412":488,"413":489,"414":490,"415":491,"416":495,"417":496,"418":498,"419":499,"420":500,"421":501,"422":502,"423":503,"424":504,"425":505,"426":506,"427":507,"428":508,"429":509,"430":510,"431":511,"432":512,"433":515,"434":521,"435":523,"436":524,"437":526,"438":527,"439":530,"440":531,"441":535,"442":540,"443":541,"444":548,"445":552,"446":554,"447":555,"448":556,"449":558,"450":562,"451":569,"452":571,"453":574,"454":575,"455":583,"456":584,"457":595,"458":599,"459":602,"460":604,"461":615,"462":622,"463":625,"464":629,"465":630,"466":631,"467":633,"468":639,"469":640,"470":641,"471":643,"472":647,"473":649,"474":651,"475":652,"476":655,"477":679,"478":683,"479":687,"480":697,"481":703,"482":704,"483":719,"484":720,"485":723,"486":726,"487":736,"488":739,"489":744,"490":754,"491":762,"492":763,"493":767,"494":771,"495":774,"496":775,"497":784,"498":785,"499":787,"500":792,"501":797,"502":804,"503":806,"504":810,"505":822,"506":823,"507":825,"508":831,"509":834,"510":836,"511":845,"512":859,"513":860,"514":862,"515":863,"516":868,"517":871,"518":872,"519":884,"520":886,"521":887,"522":891,"523":894,"524":898,"525":899,"526":900,"527":901,"528":903,"529":904,"530":908,"531":913,"532":924,"533":928,"534":932,"535":935,"536":939,"537":946,"538":947,"539":948,"540":960,"541":971,"542":973,"543":981,"544":988,"545":990,"546":992,"547":997,"548":998,"549":1000,"550":1003,"551":1008,"552":1009,"553":1013,"554":1022},[0,3,6,14,16,17,32,36,37,39,45,54,77,80,82,92,95,98,107,118,123,127,170,183,198,199,215,222,232,247,255,267,274,277,288,299,307,310,312,313,324,347,348,351,358,363,364,366,368,372,382,390,395,402,410,411,412,428,443,446,448,460,462,471,480,481,486,492,493,494,497,513,517,536,538,543,544,545,546,551,559,563,564,568,572,577,578,580,581,586,592,607,608,613,616,617,637,648,650,653,660,664,665,666,667,678,680,682,690,700,705,714,715,716,718,721,722,725,730,734,738,741,742,750,756,758,760,761,766,768,773,780,783,786,790,793,794,802,808,809,813,814,832,838,847,850,856,857,864,869,875,877,878,882,888,907,909,915,920,921,922,925,927,929,934,936,940,941,945,950,952,954,956,957,963,968,972,974,980,985,987,989,991,996,999,1020],{"0":69,"1":89,"2":116,"3":136,"4":153,"5":176,"6":225,"7":254,"8":345,"9":516,"10":519,"11":522,"12":528,"13":533,"14":534,"15":539,"16":542,"17":547,"18":550,"19":561,"20":573,"21":582,"22":589,"23":596,"24":598,"25":603,"26":612,"27":636,"28":638,"29":654,"30":657,"31":672,"32":677,"33":681,"34":689,"35":698,"36":711,"37":712,"38":732,"39":769,"40":782,"41":799,"42":805,"43":807,"44":815,"45":833,"46":840,"47":846,"48":852,"49":861,"50":867,"51":870,"52":880,"53":885,"54":890,"55":892,"56":896,"57":910,"58":914,"59":923,"60":926,"61":955,"62":962,"64":977,"65":978,"66":979,"67":982,"68":1002,"69":1007,"70":1021},{"0":518,"1":532,"2":553,"3":570,"4":590,"5":594,"6":605,"7":618,"8":619,"9":626,"10":628,"11":635,"12":646,"13":658,"14":659,"15":675,"16":676,"17":691,"18":693,"19":696,"20":699,"21":707,"22":708,"24":727,"25":755,"27":781,"28":791,"29":795,"30":811,"31":821,"32":826,"33":828,"34":830,"35":837,"36":839,"39":866,"40":873,"41":881,"42":895,"43":911,"44":918,"45":930,"46":938,"47":942,"48":944,"49":961,"50":966,"51":967,"52":970,"53":984,"54":986,"55":995,"56":1004,"57":1014,"58":1018,"59":1023},[520,525,579,588,591,621,627,634,642,645,668,669,673,674,684,695,702,709,728,745,747,749,751,752,753,757,772,779,789,798,819,824,829,842,849,874,876,883,902,917,931,937,953,958,959,964,983,994,1005,1006,1010,1019],[537,565,566,567,609,611,614,620,644,656,662,663,670,686,692,710,735,743,748,765,776,777,796,800,812,818,827,841,844,851,855,906,916,919,933,949,951,965,1015],{"0":529,"1":560,"2":585,"3":593,"4":597,"5":600,"6":623,"7":632,"8":661,"9":688,"10":694,"11":706,"12":764,"13":788,"14":801,"15":817,"16":848,"17":854,"18":879,"19":889,"20":905,"21":943,"22":975,"24":1017},[514,557,576,587,606,610,624,685,713,724,803,835,912,969],[549,671,729,737,770,858,897,1016],[601,740,778,816,865,893,993,1012],{"0":701,"2":746,"3":820},[]]