[{"0":1,"1":2,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":16,"15":17,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":25,"23":27,"24":28,"25":29,"26":33,"27":34,"28":35,"29":36,"30":37,"31":38,"32":39,"33":40,"34":41,"36":43,"37":46,"38":47,"39":49,"40":50,"41":51,"42":52,"43":53,"44":54,"45":55,"46":57,"47":58,"48":59,"49":60,"50":61,"51":63,"52":64,"53":65,"54":66,"55":67,"56":68,"57":70,"58":72,"59":73,"60":74,"61":75,"62":76,"63":77,"64":79,"65":80,"66":82,"67":83,"68":84,"69":86,"70":87,"71":88,"72":89,"73":92,"74":93,"75":94,"76":95,"77":96,"78":97,"79":98,"80":99,"81":100,"82":101,"83":104,"84":105,"85":107,"86":109,"87":111,"88":112,"89":113,"90":114,"91":116,"92":118,"93":122,"94":123,"95":124,"96":125,"97":126,"98":127,"99":128,"100":131,"101":132,"102":133,"103":134,"104":135,"105":136,"106":137,"107":138,"108":139,"109":140,"110":141,"111":142,"112":143,"113":144,"114":145,"115":146,"116":147,"117":148,"118":149,"119":150,"120":151,"121":152,"122":153,"123":154,"124":155,"125":156,"126":157,"127":159,"128":160,"129":161,"130":162,"131":164,"132":165,"133":166,"134":167,"135":168,"136":169,"137":170,"138":171,"139":172,"140":173,"141":174,"142":175,"143":176,"144":177,"145":178,"146":179,"147":180,"148":183,"149":185,"150":186,"151":187,"152":189,"153":190,"154":192,"155":193,"156":196,"157":197,"158":198,"159":199,"160":200,"161":201,"162":202,"163":203,"164":204,"165":206,"166":207,"167":208,"168":209,"169":210,"170":211,"171":212,"172":213,"173":216,"174":217,"175":218,"176":219,"177":220,"178":221,"179":222,"180":224,"181":225,"182":226,"183":228,"184":229,"185":231,"186":232,"187":233,"188":234,"189":235,"190":236,"191":237,"192":239,"193":240,"194":241,"195":242,"196":243,"197":244,"198":245,"199":246,"200":247,"201":248,"202":249,"203":250,"204":251,"205":252,"206":253,"207":254,"208":255,"209":256,"210":258,"211":259,"212":260,"213":261,"214":262,"215":264,"216":266,"217":267,"218":269,"219":270,"220":271,"221":272,"222":274,"223":275,"224":276,"225":277,"226":278,"227":279,"228":280,"229":281,"230":282,"231":283,"232":285,"233":287,"234":288,"235":289,"236":291,"237":292,"238":294,"239":295,"241":297,"242":298,"243":301,"244":302,"245":303,"246":304,"247":305,"248":306,"249":307,"250":308,"251":311,"252":312,"253":313,"254":314,"255":315,"256":316,"257":317,"258":318,"259":319,"260":320,"261":322,"262":323,"263":324,"264":325,"265":326,"266":327,"267":329,"268":330,"269":332,"270":335,"271":336,"272":337,"273":339,"274":340,"275":341,"276":342,"277":346,"278":348,"279":349,"280":350,"281":351,"282":354,"283":355,"284":356,"285":357,"286":358,"287":359,"288":360,"289":361,"290":362,"291":363,"293":365,"294":367,"295":368,"296":369,"297":370,"298":371,"299":372,"300":373,"301":374,"302":376,"303":377,"304":378,"305":379,"306":380,"307":381,"308":382,"309":384,"310":385,"311":386,"312":387,"313":388,"314":389,"315":390,"316":391,"317":392,"318":393,"319":394,"320":395,"322":397,"323":398,"324":400,"325":401,"326":403,"328":406,"329":407,"330":408,"331":409,"332":410,"333":411,"334":412,"335":414,"336":415,"337":416,"338":417,"339":418,"340":419,"341":420,"342":421,"343":422,"344":423,"345":424,"346":425,"347":427,"348":428,"349":429,"350":430,"351":431,"352":432,"353":434,"354":435,"355":438,"356":439,"357":440,"358":441,"359":442,"360":444,"361":446,"362":447,"363":448,"364":449,"365":450,"366":451,"367":452,"368":453,"369":454,"370":456,"371":457,"372":458,"373":459,"374":460,"375":461,"376":462,"377":463,"378":464,"379":465,"380":466,"382":470,"383":471,"384":473,"385":474,"386":475,"387":476,"388":477,"389":479,"390":481,"391":482,"392":484,"393":485,"394":488,"395":489,"396":490,"397":491,"398":493,"399":494,"400":495,"401":496,"402":497,"403":498,"404":502,"405":503,"406":504,"407":505,"408":506,"409":507,"410":508,"411":509,"412":511,"413":513,"414":522,"415":523,"416":527,"417":532,"418":533,"419":535,"420":536,"421":551,"422":552,"423":557,"424":565,"425":566,"426":567,"427":571,"428":575,"429":576,"430":578,"431":579,"432":581,"433":582,"434":585,"435":586,"436":597,"437":604,"438":607,"439":611,"440":612,"441":615,"442":619,"443":623,"444":624,"445":625,"446":630,"447":637,"448":645,"449":650,"450":651,"451":652,"452":653,"453":655,"454":662,"455":663,"456":672,"457":676,"458":679,"459":680,"460":691,"461":693,"462":694,"463":697,"464":702,"465":711,"466":714,"467":715,"468":721,"469":723,"470":725,"471":727,"472":729,"473":730,"474":731,"475":739,"476":744,"477":748,"478":750,"479":759,"480":768,"481":781,"482":782,"483":784,"484":785,"485":790,"486":793,"487":796,"488":802,"489":804,"490":817,"491":820,"492":823,"493":824,"494":828,"495":835,"496":842,"497":844,"498":848,"499":854,"500":859,"501":861,"502":870,"503":871,"504":874,"505":877,"506":879,"507":885,"508":887,"509":891,"510":892,"511":894,"512":897,"513":899,"514":901,"515":903,"516":907,"517":914,"518":917,"519":919,"520":926,"521":927,"522":929,"523":931,"524":935,"525":937,"526":939,"527":943,"528":949,"529":959,"530":964,"531":971,"532":972,"533":977,"534":978,"535":980,"536":982,"537":986,"538":988,"539":990,"540":997,"541":1005,"542":1009,"543":1011,"544":1012,"545":1013,"546":1017,"547":1019,"548":1021,"549":1022},[0,15,18,26,30,31,32,44,45,48,56,62,69,71,78,81,85,90,91,102,103,106,108,110,115,117,119,120,121,129,130,158,163,181,184,191,195,214,215,223,227,230,238,257,263,265,268,273,284,286,290,293,299,300,309,310,321,328,331,333,338,343,344,345,347,352,353,366,375,383,399,402,413,426,433,436,437,445,455,467,468,480,483,486,487,492,499,500,501,510,518,519,521,525,526,528,534,539,540,543,545,548,550,554,556,558,562,564,583,588,591,592,602,603,605,606,608,622,628,631,636,640,644,656,658,678,685,689,698,700,701,704,705,706,708,713,717,719,722,724,733,737,738,742,743,747,749,756,760,763,765,769,773,774,776,786,788,792,795,801,807,808,814,832,847,852,853,862,865,866,875,876,883,888,898,900,906,915,920,933,934,938,946,951,953,954,958,960,963,970,976,979,981,987,989,992,994,995,1000,1006,1007,1014,1015,1016,1018],[182,188,194,205,334,405,443,472,478,515,538,542,544,546,553,555,570,577,587,595,598,613,617,627,635,641,648,657,665,669,683,684,690,699,703,710,712,734,741,745,766,772,777,780,783,797,815,825,834,836,840,841,849,856,867,886,890,893,895,896,904,912,921,922,923,924,925,930,936,940,942,944,952,956,957,965,966,996,1001,1004,1023],[516,520,529,547,549,569,572,593,594,596,600,621,626,633,638,639,664,668,670,675,682,687,695,696,716,720,752,753,755,758,767,778,789,794,799,806,816,821,827,831,845,846,855,863,868,913,916,948,961,967,968,973,984,985,991,1003,1008,1020],[514,517,530,559,563,568,580,590,599,610,614,616,620,629,647,649,654,659,671,673,674,677,692,726,740,754,770,771,787,798,800,809,810,811,812,826,829,837,839,843,851,858,860,864,872,878,881,884,909,910,918,928,947,950,974,998,1010],[524,531,537,541,574,609,634,643,646,666,667,681,707,718,735,736,751,761,803,813,838,857,869,873,882,945,955,962,969,993,999],[573,632,660,661,709,728,732,822,902,905,932,975,1002],[560,589,601,618,762,775,805,819,830,911,941,983],[561,642,686,746,764,791,818,880,908],[512,688,779,889],[584,850],[757,833]]