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