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