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