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