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