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