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