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