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