[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":9,"8":10,"9":11,"10":13,"11":14,"12":16,"13":18,"14":19,"15":20,"16":23,"17":24,"18":25,"19":26,"21":28,"22":29,"23":30,"24":31,"25":32,"26":33,"27":34,"28":35,"29":36,"30":38,"31":39,"32":40,"33":42,"34":45,"35":46,"36":47,"37":48,"38":50,"39":51,"40":54,"41":55,"42":56,"43":58,"44":59,"45":61,"46":62,"47":63,"48":65,"49":66,"50":67,"51":68,"52":69,"53":70,"54":71,"55":73,"56":74,"57":75,"58":76,"59":78,"60":79,"61":81,"62":82,"63":84,"64":85,"65":86,"66":87,"67":88,"68":89,"69":90,"70":91,"71":92,"72":93,"73":94,"74":95,"75":96,"76":97,"77":99,"78":101,"79":102,"80":103,"81":104,"82":105,"83":106,"84":107,"85":111,"86":112,"87":113,"88":114,"89":116,"90":117,"91":118,"92":119,"93":120,"94":122,"95":124,"96":125,"97":126,"98":127,"99":128,"100":129,"101":130,"102":131,"103":135,"104":137,"105":142,"106":144,"107":147,"108":148,"109":149,"110":150,"111":151,"112":152,"113":155,"114":157,"115":158,"116":160,"117":161,"118":162,"119":163,"120":164,"121":166,"122":167,"123":168,"124":170,"125":173,"126":174,"127":177,"128":178,"129":179,"130":180,"131":181,"132":183,"133":256,"134":257,"135":258,"136":259,"137":260,"138":261,"139":262,"140":263,"141":264,"142":265,"143":266,"144":267,"145":268,"146":269,"147":270,"148":271,"149":272,"150":273,"151":274,"152":276,"153":278,"154":280,"155":283,"156":284,"157":285,"158":287,"159":288,"160":289,"161":290,"162":292,"163":293,"164":294,"165":295,"166":299,"167":303,"168":304,"169":305,"170":306,"171":307,"172":308,"173":309,"174":310,"175":311,"176":313,"177":314,"178":315,"179":316,"180":317,"181":318,"182":319,"183":320,"184":321,"185":322,"186":323,"188":325,"189":326,"190":327,"192":330,"193":331,"194":332,"195":333,"196":334,"197":335,"198":336,"199":339,"200":340,"201":341,"202":342,"203":343,"204":344,"205":345,"206":346,"207":348,"208":349,"209":350,"210":351,"211":352,"212":353,"213":354,"214":355,"215":357,"216":358,"217":359,"218":360,"219":361,"220":362,"221":363,"222":364,"223":365,"224":366,"225":367,"226":368,"227":370,"228":372,"229":374,"230":375,"231":376,"232":377,"233":378,"234":379,"235":380,"236":381,"237":383,"238":384,"239":385,"240":386,"241":388,"242":393,"243":395,"244":396,"245":397,"246":398,"247":400,"248":403,"249":404,"250":405,"251":406,"252":407,"253":409,"254":410,"255":411,"256":412,"257":413,"258":414,"259":415,"260":416,"261":418,"262":419,"263":420,"264":421,"265":423,"266":424,"267":425,"268":426,"269":427,"270":428,"271":429,"272":431,"273":432,"274":433,"275":434,"276":435,"277":436,"278":437,"279":438,"280":439,"281":515,"282":522,"283":523,"284":526,"285":530,"286":531,"287":533,"288":535,"289":537,"290":539,"291":550,"292":552,"293":555,"294":556,"295":559,"296":563,"297":565,"298":566,"299":573,"300":577,"301":580,"302":583,"303":585,"304":589,"305":594,"306":605,"307":608,"308":614,"309":618,"310":624,"311":630,"312":634,"313":637,"314":643,"315":645,"316":652,"317":656,"318":658,"319":673,"320":674,"321":675,"322":677,"323":679,"324":684,"325":689,"326":691,"327":692,"328":695,"329":698,"330":699,"331":700,"332":707,"333":713,"334":719,"335":720,"336":721,"337":722,"338":723,"339":728,"340":729,"341":739,"342":746,"343":749,"344":755,"345":758,"346":759,"347":764,"348":766,"349":774,"350":779,"351":782,"352":784,"353":788,"354":794,"355":795,"356":797,"357":800,"358":811,"359":814,"360":817,"361":818,"362":819,"363":820,"364":823,"365":828,"366":832,"367":833,"368":837,"369":843,"370":846,"371":854,"372":855,"373":859,"374":864,"375":871,"376":873,"377":875,"378":877,"379":882,"380":885,"381":887,"382":888,"383":890,"384":892,"385":896,"386":899,"387":904,"388":906,"389":909,"390":915,"391":916,"392":924,"393":934,"394":939,"395":940,"396":943,"397":947,"398":949,"399":951,"400":954,"401":962,"402":964,"403":965,"404":966,"405":975,"406":978,"407":984,"408":988,"409":998,"410":1005,"411":1012},[2,8,12,15,17,21,22,37,43,44,49,52,53,57,60,64,72,77,80,83,98,100,108,109,110,115,123,132,134,136,138,139,140,141,143,145,146,154,156,159,165,171,172,175,176,182,184,185,186,188,190,191,192,193,196,197,199,201,202,204,205,208,209,210,213,215,217,219,220,221,222,223,224,225,226,228,231,232,233,234,235,237,239,240,242,244,246,248,250,251,252,253,254,275,277,279,281,282,286,291,296,298,300,301,302,312,328,337,338,347,356,369,371,373,382,387,389,391,392,394,399,401,402,408,422,430,440,441,442,443,444,446,447,448,450,451,452,453,455,456,457,459,461,462,463,465,466,467,469,470,471,472,473,474,476,477,478,479,480,481,482,484,485,486,489,491,492,493,494,495,496,498,502,503,505,508,509,510,511,521,527,528,549,551,558,564,567,572,576,578,586,588,590,592,598,599,603,604,606,609,613,622,626,628,635,638,639,641,642,646,647,654,655,657,660,661,662,665,667,676,681,690,694,696,697,702,703,705,709,710,715,732,735,736,740,743,747,751,754,760,778,780,791,807,812,813,821,829,841,842,857,861,863,868,886,889,895,898,902,911,912,914,920,925,926,927,928,930,931,948,952,959,960,968,969,972,973,979,985,990,991,993,994,995,997,1003,1004,1007,1013,1019],[41,121,133,153,169,189,194,195,203,206,207,211,212,214,216,218,230,236,238,241,243,245,249,255,297,390,417,445,454,458,464,468,475,488,499,500,501,504,506,507,512,516,518,525,529,538,557,568,569,570,584,591,593,610,616,619,623,627,631,633,636,648,672,678,685,687,704,708,711,714,724,725,726,733,752,753,765,767,769,770,771,775,792,799,806,822,827,830,834,835,839,844,860,880,883,894,897,900,908,917,919,935,938,945,946,953,957,977,981,987,992,996,999,1017],[187,198,200,227,229,247,449,460,483,487,490,497,536,548,553,597,601,612,615,617,621,629,632,644,659,670,671,683,693,706,717,730,737,742,745,748,756,761,773,783,804,810,826,831,845,848,850,853,869,870,893,918,922,932,950,1010,1016,1018,1023],[524,532,543,547,560,595,600,625,669,680,701,716,744,750,762,781,785,793,796,801,803,816,838,849,851,856,867,891,901,903,907,913,921,929,937,942,967,970,980,982,986,1008],[519,544,545,554,574,582,587,596,602,607,620,640,649,682,686,688,763,786,798,809,815,824,858,862,872,874,876,879,936,956,989,1001,1002,1022],[513,514,534,540,561,562,571,575,611,651,653,663,668,731,734,741,757,772,776,777,787,789,802,847,866,878,884,905,910,923,941,955,1000,1006,1011,1014,1020],[517,520,579,581,664,666,718,738,768,790,805,808,836,852,865,933,944,958,974,976,1015,1021],[546,650,840,881,961,963,983],[541,542,712,727,971,1009],[825]]