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