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