[{"0":0,"1":2,"2":3,"3":4,"4":7,"5":8,"6":11,"7":13,"8":14,"9":15,"10":16,"11":18,"12":19,"13":22,"14":23,"15":24,"16":25,"17":26,"18":27,"19":28,"20":29,"21":30,"22":31,"23":32,"24":33,"25":34,"26":35,"27":36,"28":37,"29":38,"30":39,"31":40,"32":43,"33":44,"34":45,"35":47,"36":48,"37":49,"38":50,"39":52,"40":53,"41":55,"42":57,"43":59,"44":62,"45":63,"46":64,"47":70,"48":71,"49":72,"50":73,"51":74,"52":77,"53":79,"54":80,"55":81,"56":82,"57":83,"58":85,"61":89,"62":90,"63":91,"64":92,"65":93,"66":96,"67":97,"68":98,"69":99,"70":102,"71":103,"72":104,"73":105,"74":107,"75":108,"76":109,"77":110,"78":111,"79":112,"80":113,"81":114,"82":116,"83":117,"84":119,"85":120,"86":122,"87":123,"88":124,"89":125,"90":127,"91":128,"92":129,"93":130,"94":131,"95":132,"96":134,"97":136,"98":138,"99":139,"100":140,"101":141,"102":144,"103":145,"104":146,"105":147,"106":149,"107":150,"108":151,"109":152,"110":153,"111":154,"112":156,"113":159,"114":160,"115":162,"116":163,"117":164,"118":165,"119":166,"120":168,"121":169,"122":170,"123":171,"124":172,"125":174,"126":176,"127":256,"128":257,"129":258,"130":259,"131":260,"132":261,"133":262,"134":263,"135":264,"136":265,"137":266,"138":267,"139":268,"140":269,"141":270,"142":271,"143":272,"144":274,"145":276,"146":277,"147":278,"148":279,"149":280,"150":282,"151":283,"152":284,"153":285,"154":286,"155":287,"156":288,"157":289,"158":290,"159":291,"160":292,"161":293,"162":295,"163":296,"164":297,"165":298,"166":299,"167":300,"168":302,"169":304,"170":305,"171":307,"172":310,"173":312,"174":313,"175":317,"176":318,"177":319,"178":321,"179":322,"180":323,"181":324,"182":325,"183":326,"184":327,"185":328,"186":329,"187":330,"188":331,"189":332,"191":334,"192":336,"193":338,"194":339,"195":341,"196":342,"197":344,"198":345,"199":346,"200":347,"201":350,"202":353,"203":354,"204":356,"205":357,"206":358,"207":360,"208":361,"209":363,"210":365,"211":366,"212":367,"213":368,"214":369,"215":370,"216":371,"217":372,"218":373,"219":374,"220":375,"221":376,"222":377,"223":378,"224":379,"225":381,"226":383,"227":384,"228":386,"229":387,"230":388,"231":389,"232":390,"233":391,"234":392,"235":393,"236":395,"237":396,"238":397,"239":398,"240":400,"241":401,"242":402,"243":403,"244":404,"245":405,"246":406,"247":407,"248":408,"249":409,"250":410,"251":411,"252":412,"253":413,"254":414,"255":417,"256":418,"257":420,"258":421,"259":423,"260":425,"261":427,"262":428,"263":432,"264":514,"265":519,"267":533,"268":537,"269":547,"270":556,"271":557,"272":559,"273":562,"274":573,"275":576,"276":577,"277":589,"278":590,"279":603,"280":605,"281":620,"282":631,"283":632,"284":638,"285":649,"286":650,"287":653,"288":656,"289":661,"290":674,"291":677,"292":680,"293":682,"294":691,"295":692,"296":693,"297":695,"298":698,"299":706,"300":707,"301":712,"302":717,"303":724,"304":728,"305":730,"306":745,"307":747,"308":750,"309":753,"310":760,"311":769,"312":772,"313":773,"314":774,"315":777,"316":789,"317":795,"318":796,"319":797,"320":803,"321":807,"322":810,"323":811,"324":818,"325":820,"326":822,"327":823,"328":826,"329":830,"330":838,"331":841,"332":844,"333":845,"334":854,"335":871,"336":872,"337":878,"338":879,"339":880,"340":881,"341":882,"342":886,"343":890,"344":894,"345":896,"346":900,"347":917,"348":930,"349":934,"350":938,"351":939,"352":943,"353":948,"354":950,"355":952,"356":954,"357":960,"358":962,"359":966,"360":972,"361":974,"362":979,"363":982,"364":983,"365":993,"366":999,"367":1005,"368":1006,"369":1007,"370":1015,"371":1016,"372":1019},[1,5,6,9,10,12,17,20,21,41,42,46,51,58,60,61,65,66,67,68,69,75,76,78,84,86,94,95,100,101,106,115,118,121,126,133,135,137,142,148,155,157,158,161,167,173,175,177,178,179,180,181,183,184,185,186,187,188,191,192,193,194,195,196,198,199,203,205,206,208,210,212,213,214,215,216,217,218,220,221,222,223,225,228,229,230,231,232,234,235,238,239,241,243,245,246,248,249,252,255,275,281,294,303,306,308,309,311,314,316,320,335,337,343,348,349,351,352,355,364,380,382,394,415,416,419,422,424,430,431,433,435,437,439,440,441,442,443,446,448,449,450,451,452,453,455,457,458,459,461,462,464,465,466,467,468,469,472,475,477,478,479,481,483,485,486,488,489,490,491,492,493,494,495,496,498,499,500,501,503,504,505,507,508,509,510,512,515,517,520,525,539,541,545,549,554,558,560,566,568,570,571,579,580,593,595,597,604,606,610,613,616,621,622,624,625,629,633,637,642,643,644,645,651,663,665,666,667,668,669,673,681,683,684,686,688,690,699,700,702,705,711,713,716,720,721,731,733,739,744,749,754,755,756,759,776,778,779,790,791,792,793,794,798,805,806,809,813,821,825,827,831,832,834,849,853,855,856,858,859,861,862,863,864,868,869,891,893,895,899,901,903,909,920,921,922,928,941,947,949,953,959,965,967,969,973,977,980,984,985,986,990,991,992,994,1004,1012,1013,1023],[54,56,143,182,189,197,200,201,202,204,211,219,224,226,233,236,237,240,242,244,247,250,251,253,273,301,315,340,359,362,385,399,426,429,434,436,438,444,445,447,454,456,463,470,471,473,474,476,480,482,484,487,497,502,506,511,516,521,529,531,534,540,548,550,555,561,567,569,574,581,584,586,588,596,600,601,607,627,630,634,635,660,671,675,679,689,701,708,710,718,729,742,743,751,757,767,771,800,819,847,851,870,873,877,884,887,897,898,905,907,910,915,916,924,926,931,933,945,951,970,995,996,1002,1009,1011,1014,1018,1021],{"0":190,"1":207,"2":209,"3":227,"4":254,"5":460,"6":527,"7":528,"8":546,"9":563,"10":565,"11":572,"12":578,"13":583,"14":594,"15":614,"16":626,"17":639,"18":641,"19":652,"20":657,"21":662,"22":670,"23":678,"24":687,"25":694,"27":704,"28":715,"29":723,"30":737,"31":766,"32":770,"33":782,"34":785,"35":815,"37":850,"38":888,"39":908,"40":914,"41":927,"42":955,"43":958,"44":981,"45":988,"46":997,"47":1017},[523,530,538,543,551,587,602,619,628,648,664,709,735,741,752,768,788,799,816,883,904,911,918,935,936,964,975,976,987,998,1000,1001],[513,526,542,591,609,611,612,615,636,654,676,714,725,732,736,740,748,758,762,764,814,860,865,874,929,932,946,968,1008],[524,564,582,672,697,703,719,727,738,746,780,783,804,812,824,835,840,866,902,906,919,925,963,989,1020,1022],[552,599,640,658,722,784,787,808,836,839,843,848,852,892,913,923,940,942,944,961,978,1003],[518,535,536,598,608,617,618,647,655,801,802,817,828,837,875,876,937,956,957,1010],[575,592,623,685,726,734,761,765,775,781,833,885,889],{"0":646,"1":659,"3":786,"4":829,"5":857,"6":867,"7":912},[],[]]