[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":10,"10":11,"11":12,"12":13,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"24":27,"25":28,"26":29,"27":30,"28":31,"29":32,"30":33,"32":35,"33":36,"34":37,"35":39,"36":40,"37":42,"38":44,"39":45,"40":46,"41":47,"42":48,"43":49,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"57":64,"58":65,"59":66,"60":67,"61":69,"62":70,"63":71,"64":72,"65":73,"66":74,"67":75,"68":76,"69":77,"70":78,"71":79,"72":81,"73":82,"74":83,"75":85,"76":86,"77":87,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":95,"85":96,"86":97,"87":98,"88":99,"89":100,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":108,"99":110,"100":111,"101":112,"103":114,"104":116,"105":117,"106":118,"107":119,"108":120,"109":121,"110":122,"112":124,"113":125,"114":126,"115":127,"116":128,"117":129,"118":131,"119":132,"120":133,"121":135,"122":136,"123":137,"124":138,"125":140,"127":142,"128":144,"129":145,"130":147,"131":149,"132":150,"133":151,"134":153,"135":154,"136":155,"137":156,"139":158,"141":160,"142":161,"143":162,"144":163,"145":164,"146":165,"147":166,"148":167,"149":168,"150":169,"151":171,"152":172,"153":173,"154":174,"155":175,"156":177,"157":179,"158":180,"159":181,"160":182,"161":183,"162":184,"163":185,"164":186,"166":190,"167":192,"168":193,"169":194,"170":195,"171":196,"172":197,"173":198,"174":200,"175":201,"176":202,"177":203,"178":204,"179":205,"180":206,"181":207,"182":208,"183":209,"184":210,"185":211,"186":212,"187":213,"188":214,"189":215,"190":216,"191":217,"192":218,"193":219,"194":222,"195":223,"196":224,"197":225,"198":226,"199":227,"200":228,"201":229,"202":230,"203":231,"204":232,"205":234,"206":235,"207":236,"208":237,"209":238,"210":239,"211":241,"212":242,"213":243,"214":244,"215":245,"216":246,"217":247,"218":248,"219":249,"220":251,"221":253,"222":254,"223":255,"224":256,"225":258,"226":259,"228":261,"229":262,"230":264,"231":265,"232":266,"233":267,"234":268,"235":269,"236":270,"237":271,"239":273,"240":274,"241":275,"242":276,"243":277,"244":278,"245":279,"246":280,"247":281,"248":282,"249":283,"250":284,"252":286,"253":287,"254":288,"255":289,"256":290,"257":291,"258":292,"259":293,"260":294,"261":295,"262":296,"263":297,"264":298,"265":299,"266":302,"267":303,"268":304,"269":305,"270":306,"271":307,"272":308,"273":309,"274":310,"275":312,"276":313,"277":315,"278":316,"279":318,"280":319,"281":321,"282":322,"283":323,"284":325,"285":326,"286":327,"287":328,"288":329,"289":330,"290":332,"291":333,"292":334,"294":337,"295":338,"296":339,"297":340,"298":341,"299":342,"300":343,"301":344,"302":345,"303":346,"304":347,"305":349,"306":351,"307":352,"308":354,"309":355,"310":356,"311":357,"312":360,"313":361,"314":364,"315":365,"316":366,"317":367,"318":368,"319":369,"321":373,"322":374,"324":376,"325":377,"326":378,"327":379,"328":380,"329":381,"330":382,"331":383,"332":384,"333":385,"334":386,"335":388,"336":389,"337":390,"338":391,"339":392,"340":393,"341":395,"342":396,"343":397,"344":398,"345":399,"346":400,"347":401,"348":402,"349":403,"350":404,"351":405,"352":406,"353":407,"354":408,"355":409,"356":410,"357":411,"358":412,"359":413,"360":414,"361":415,"362":417,"363":418,"364":419,"365":420,"366":421,"367":423,"368":424,"369":425,"370":426,"371":427,"372":430,"373":431,"374":432,"375":433,"376":434,"377":435,"378":437,"379":438,"380":439,"382":442,"383":443,"384":444,"385":445,"387":449,"388":450,"389":451,"390":452,"391":454,"392":455,"393":456,"394":457,"395":458,"396":459,"397":460,"398":461,"399":462,"400":463,"401":464,"402":467,"403":468,"404":472,"405":473,"406":474,"407":477,"408":478,"409":479,"410":480,"411":482,"412":483,"413":484,"414":485,"415":486,"416":487,"417":488,"418":490,"419":491,"420":493,"421":494,"422":495,"423":496,"424":497,"425":498,"426":499,"427":500,"428":501,"429":502,"430":503,"431":504,"432":505,"433":506,"434":508,"435":509,"436":510,"437":511,"438":516,"439":517,"440":519,"441":522,"442":523,"443":527,"444":528,"445":530,"446":532,"447":534,"448":535,"449":538,"450":541,"451":546,"452":548,"453":552,"454":563,"455":564,"456":565,"457":570,"458":574,"459":580,"460":582,"461":583,"462":585,"463":589,"464":592,"465":593,"466":594,"467":595,"468":597,"469":600,"470":603,"471":604,"472":608,"473":609,"474":610,"475":613,"476":619,"477":620,"478":626,"479":627,"480":628,"481":629,"482":630,"483":633,"484":634,"485":635,"486":639,"487":642,"488":645,"489":651,"490":654,"491":657,"492":661,"493":662,"494":663,"495":666,"496":667,"497":669,"498":670,"499":672,"500":673,"501":674,"502":676,"503":682,"504":687,"505":688,"506":696,"507":698,"508":702,"509":709,"510":712,"511":716,"512":720,"513":722,"514":723,"515":730,"516":745,"517":748,"518":750,"519":761,"520":765,"521":766,"522":774,"523":776,"524":783,"525":787,"526":796,"527":798,"528":801,"529":802,"530":804,"531":807,"532":814,"533":818,"534":819,"535":820,"536":831,"537":832,"538":836,"539":839,"540":842,"541":845,"542":849,"543":850,"544":853,"545":862,"546":864,"547":867,"548":868,"549":869,"550":870,"551":873,"552":875,"553":879,"554":880,"555":884,"556":885,"557":887,"558":894,"559":896,"560":898,"561":900,"562":907,"563":908,"564":909,"565":911,"566":914,"567":915,"568":927,"569":929,"570":930,"571":931,"572":934,"573":936,"574":937,"575":943,"576":949,"577":956,"578":957,"579":960,"580":968,"581":971,"582":974,"583":978,"584":980,"585":983,"586":984,"587":987,"588":991,"589":998,"590":1008,"591":1014,"592":1018},[14,25,38,41,43,50,80,84,94,115,130,139,148,152,170,176,178,189,191,199,221,233,250,252,257,263,300,301,311,317,320,324,331,336,348,350,353,359,363,371,372,387,394,416,428,429,436,441,447,448,453,465,469,470,471,475,476,481,489,492,507,513,514,515,525,526,529,533,536,537,539,544,545,554,561,562,566,567,568,569,575,576,577,586,588,591,596,599,601,602,611,612,614,615,616,617,622,624,625,631,632,636,638,640,641,643,644,648,655,658,659,665,677,678,679,680,683,684,685,686,690,691,693,694,697,705,706,708,713,724,726,729,731,734,737,740,741,742,749,753,755,756,762,767,768,775,777,778,780,784,785,790,791,793,794,800,808,813,816,817,821,822,824,827,828,830,833,835,843,847,856,865,874,876,882,890,891,893,903,906,916,917,920,921,924,926,932,935,938,944,948,952,955,959,962,964,969,970,973,977,979,982,986,989,990,992,994,996,1000,1004,1011,1015,1020,1022,1023],[9,68,134,143,146,188,220,240,314,358,362,422,466,512,524,540,542,551,578,581,584,590,606,618,621,623,647,649,650,689,692,699,701,703,717,721,728,732,735,738,743,746,751,757,758,759,773,782,788,792,805,806,815,823,825,826,829,837,840,841,846,848,851,855,863,866,871,872,877,881,892,899,910,913,918,925,928,933,940,941,942,946,954,958,965,972,976,988,993,997,999,1001,1009,1010,1013,1019],{"0":520,"1":521,"2":547,"3":550,"4":555,"5":556,"7":559,"8":560,"9":598,"10":607,"11":646,"12":664,"13":675,"14":681,"15":695,"16":704,"17":710,"18":718,"19":719,"20":725,"21":744,"22":747,"23":769,"24":770,"25":772,"26":779,"27":781,"28":786,"29":789,"30":810,"31":834,"32":838,"33":859,"34":883,"35":889,"36":897,"37":912,"38":919,"39":922,"40":923,"41":947,"42":951,"43":953,"44":963,"45":966,"46":967,"47":985,"48":995,"49":1002,"50":1006,"51":1012,"52":1017},{"1":553,"2":557,"4":587,"5":656,"6":700,"7":707,"8":714,"9":736,"10":752,"11":754,"12":760,"13":764,"14":799,"15":811,"16":812,"17":844,"18":878,"19":888,"20":901,"21":905,"22":945,"23":961,"24":981,"25":1005,"26":1007,"27":1016},[518,531,543,571,572,579,605,637,660,668,671,715,727,771,803,854,857,861,902,939,950,975,1003],{"1":711,"2":763,"3":795,"4":797,"6":858,"7":904,"8":1021},[653,733,886],[739,860],[]]