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