[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":23,"21":24,"22":25,"23":26,"24":27,"25":29,"26":33,"27":35,"28":36,"29":37,"31":40,"32":41,"33":42,"34":44,"35":45,"36":46,"37":47,"38":48,"39":49,"40":50,"41":51,"43":55,"44":56,"45":57,"46":58,"47":59,"48":60,"49":61,"50":62,"51":63,"52":64,"53":65,"54":66,"55":67,"56":68,"57":69,"58":70,"59":71,"60":73,"61":74,"62":75,"63":76,"64":77,"65":78,"66":79,"67":80,"68":81,"70":83,"71":84,"72":85,"73":86,"74":87,"75":88,"76":89,"77":91,"78":92,"79":93,"80":94,"81":95,"82":96,"83":97,"84":98,"85":102,"86":103,"87":104,"88":105,"89":106,"91":108,"92":109,"93":111,"94":112,"95":113,"96":114,"97":115,"98":117,"100":119,"101":121,"102":122,"103":123,"104":125,"105":126,"106":127,"108":131,"109":132,"110":133,"111":134,"112":135,"113":136,"114":137,"115":138,"116":139,"117":140,"118":141,"119":142,"120":143,"121":144,"122":145,"123":147,"124":149,"125":150,"126":151,"127":152,"128":153,"129":154,"130":155,"131":156,"132":157,"133":158,"134":159,"135":160,"136":161,"137":162,"139":164,"141":166,"142":167,"143":168,"144":169,"145":170,"146":171,"147":172,"148":173,"149":174,"150":175,"151":176,"152":177,"153":178,"154":179,"155":180,"156":181,"157":182,"158":183,"159":184,"160":185,"161":187,"162":188,"163":189,"164":190,"165":191,"166":193,"167":195,"168":196,"169":197,"170":198,"171":199,"172":200,"173":201,"174":202,"175":203,"176":204,"177":205,"178":206,"179":207,"180":208,"181":209,"182":210,"183":211,"184":213,"185":214,"186":215,"187":216,"188":218,"189":219,"190":220,"191":221,"192":223,"193":224,"194":225,"195":226,"196":227,"197":230,"198":232,"199":233,"200":235,"201":236,"202":238,"203":239,"204":240,"205":241,"206":242,"207":243,"208":244,"209":245,"210":246,"211":247,"212":248,"213":249,"214":250,"215":251,"216":252,"217":254,"218":255,"219":256,"220":259,"221":260,"222":261,"223":262,"224":263,"225":264,"226":265,"227":266,"228":268,"229":269,"230":271,"231":272,"232":273,"233":274,"234":275,"235":276,"236":277,"237":278,"238":279,"239":280,"240":281,"241":283,"242":286,"243":287,"244":288,"245":289,"246":290,"247":293,"248":294,"249":295,"251":297,"252":298,"254":301,"255":302,"256":303,"257":304,"258":305,"259":306,"260":307,"261":308,"263":312,"264":313,"265":314,"266":315,"267":316,"268":317,"269":318,"270":319,"271":320,"272":321,"273":322,"274":323,"275":324,"276":325,"277":326,"278":327,"280":329,"281":330,"282":332,"283":334,"284":335,"285":336,"286":337,"287":338,"288":339,"289":340,"290":341,"291":343,"292":344,"293":345,"294":346,"295":347,"296":348,"297":349,"298":350,"299":351,"300":353,"301":354,"302":356,"303":357,"304":358,"305":359,"306":360,"307":362,"308":363,"309":364,"310":366,"311":367,"312":368,"313":369,"315":371,"316":372,"317":373,"318":374,"319":375,"321":378,"322":379,"323":380,"324":381,"325":382,"326":383,"327":384,"328":385,"329":386,"330":387,"331":388,"332":391,"333":392,"334":393,"335":394,"336":396,"337":397,"338":398,"339":400,"340":401,"341":402,"342":403,"343":404,"344":405,"345":406,"346":407,"347":408,"348":409,"350":411,"351":412,"352":413,"353":414,"354":415,"355":416,"356":417,"357":418,"358":419,"359":420,"360":421,"361":422,"362":423,"363":425,"364":426,"365":427,"366":428,"368":430,"369":432,"370":433,"371":434,"372":435,"373":436,"375":439,"376":440,"377":442,"378":443,"379":444,"380":445,"381":446,"382":447,"383":449,"384":450,"385":451,"386":452,"387":453,"388":454,"389":455,"390":456,"391":457,"392":458,"393":459,"394":461,"395":462,"396":464,"397":465,"398":466,"399":467,"400":468,"401":469,"402":470,"403":471,"404":472,"405":475,"406":476,"407":477,"408":478,"409":479,"410":480,"411":482,"412":483,"413":484,"414":486,"415":487,"416":489,"417":491,"418":493,"419":494,"420":496,"421":497,"422":498,"423":499,"424":500,"425":501,"426":502,"427":503,"428":504,"429":505,"430":506,"431":507,"432":508,"433":509,"434":510,"435":511,"436":515,"437":517,"438":519,"439":520,"440":521,"441":522,"442":524,"443":529,"444":531,"445":546,"446":550,"447":552,"448":554,"449":556,"450":563,"451":565,"452":567,"453":572,"454":575,"455":582,"456":589,"457":590,"458":598,"459":599,"460":601,"461":606,"462":615,"463":618,"464":623,"465":626,"466":627,"467":629,"468":630,"469":633,"470":648,"471":654,"472":657,"473":658,"474":659,"475":661,"476":662,"477":663,"478":669,"479":671,"480":672,"481":679,"482":680,"483":681,"484":684,"485":688,"486":701,"487":702,"488":706,"489":711,"490":717,"491":725,"492":727,"493":731,"494":739,"495":742,"496":743,"497":756,"498":761,"499":764,"500":767,"501":770,"502":776,"504":787,"505":794,"506":796,"507":801,"508":804,"509":805,"510":809,"511":813,"512":814,"513":827,"514":829,"515":831,"516":833,"517":837,"518":839,"519":840,"520":843,"521":847,"522":853,"523":854,"524":855,"525":856,"526":857,"527":859,"528":860,"529":861,"530":864,"531":865,"532":876,"533":886,"534":891,"535":896,"536":906,"537":911,"538":914,"539":917,"540":919,"541":921,"543":924,"545":932,"546":942,"547":944,"548":948,"549":949,"550":959,"551":963,"552":965,"553":968,"554":973,"555":974,"556":978,"557":981,"558":985,"559":986,"560":990,"561":991,"562":993,"563":995,"564":997,"565":1000,"566":1005,"567":1007,"568":1012,"569":1013,"570":1016},[12,22,28,30,31,32,34,39,43,52,54,72,90,99,100,110,116,120,128,130,146,148,186,192,194,212,217,222,228,229,231,234,237,253,257,258,267,270,282,284,291,292,299,310,311,331,333,342,352,355,361,365,377,389,390,395,399,424,431,437,441,448,460,463,473,481,485,490,492,495,512,516,518,526,527,530,532,533,534,536,538,540,542,545,547,548,549,555,561,564,570,574,577,580,583,584,586,588,592,595,597,602,604,605,607,613,616,621,622,624,631,632,634,637,638,639,640,641,643,645,650,652,655,656,666,668,670,675,676,682,686,691,694,699,704,705,707,709,710,713,716,718,728,729,730,736,740,744,746,753,755,757,758,765,773,775,779,780,781,784,785,786,790,792,795,798,799,808,815,816,818,820,823,824,828,832,834,842,846,849,850,852,858,863,866,868,871,877,879,880,881,885,889,892,895,899,902,905,910,912,913,915,922,925,927,930,934,937,939,941,945,950,952,953,954,957,961,964,966,970,975,982,983,984,987,994,996,1004,1006,1009,1010,1015,1018,1019,1020],[2,101,124,285,474,488,513,528,537,541,543,558,560,566,568,569,571,578,581,585,593,594,600,603,608,609,617,625,635,636,642,644,649,653,660,667,673,677,685,687,689,692,700,703,708,720,722,723,724,732,735,747,750,752,754,760,762,766,768,769,772,774,777,778,800,803,806,810,811,812,821,830,838,845,848,862,867,869,872,873,882,888,894,897,900,903,904,909,916,929,931,936,940,943,947,958,962,967,972,976,979,988,989,992,1002,1008,1017],[523,525,544,551,553,557,559,576,587,611,612,619,651,664,665,674,683,690,695,696,714,715,726,733,737,748,759,783,789,793,817,819,825,826,841,851,870,874,898,901,907,908,918,920,933,938,955,956,960,969,971,980,999],[535,579,591,596,610,697,698,712,721,734,738,745,749,751,788,791,807,835,836,883,884,887,946,951,977,998,1001,1003,1011,1014,1022],[539,562,573,614,647,719,763,771,802,875,890,926],[514,620,628,646,678,693,741,797,893],[935,1023],[822,844,878],[1021]]