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