{"dataset":{"dimension":{"Bostadskommun":{"label":"Municipality of residence","category":{"index":{"2034":0,"2039":1,"2061":2,"2062":3,"2080":4,"2081":5,"2082":6,"2083":7,"2084":8},"label":{"2034":"Orsa","2039":"Älvdalen","2061":"Smedjebacken","2062":"Mora","2080":"Falun","2081":"Borlänge","2082":"Säter","2083":"Hedemora","2084":"Avesta"}}},"Arbetsstallekommun":{"label":"Municipality of work","category":{"index":{"0114":0,"0115":1,"0117":2,"0120":3,"0123":4,"0125":5,"0126":6,"0127":7,"0128":8,"0136":9,"0138":10,"0139":11,"0140":12,"0160":13,"0162":14,"0163":15,"0180":16,"0181":17,"0182":18,"0183":19,"0184":20,"0186":21,"0187":22,"0188":23,"0191":24,"0192":25,"0305":26,"0319":27,"0330":28,"0360":29,"0380":30,"0381":31,"0382":32,"0428":33,"0461":34,"0480":35,"0481":36,"0482":37,"0483":38,"0484":39,"0486":40,"0488":41,"0509":42,"0512":43,"0513":44,"0560":45,"0561":46,"0562":47,"0563":48,"0580":49,"0581":50,"0582":51,"0583":52,"0584":53,"0586":54,"0604":55,"0617":56,"0642":57,"0643":58,"0662":59,"0665":60,"0680":61,"0682":62,"0683":63,"0684":64,"0685":65,"0686":66,"0687":67,"0760":68,"0761":69,"0763":70,"0764":71,"0765":72,"0767":73,"0780":74,"0781":75,"0821":76,"0834":77,"0840":78,"0860":79,"0861":80,"0862":81,"0880":82,"0881":83,"0882":84,"0883":85,"0884":86,"0885":87,"0980":88,"1060":89,"1080":90,"1081":91,"1082":92,"1083":93,"1214":94,"1230":95,"1231":96,"1233":97,"1256":98,"1257":99,"1260":100,"1261":101,"1262":102,"1263":103,"1264":104,"1265":105,"1266":106,"1267":107,"1270":108,"1272":109,"1273":110,"1275":111,"1276":112,"1277":113,"1278":114,"1280":115,"1281":116,"1282":117,"1283":118,"1284":119,"1285":120,"1286":121,"1287":122,"1290":123,"1291":124,"1292":125,"1293":126,"1315":127,"1380":128,"1381":129,"1382":130,"1383":131,"1384":132,"1401":133,"1402":134,"1407":135,"1415":136,"1419":137,"1421":138,"1427":139,"1430":140,"1435":141,"1438":142,"1439":143,"1440":144,"1441":145,"1442":146,"1443":147,"1444":148,"1445":149,"1446":150,"1447":151,"1452":152,"1460":153,"1461":154,"1462":155,"1463":156,"1465":157,"1466":158,"1470":159,"1471":160,"1472":161,"1473":162,"1480":163,"1481":164,"1482":165,"1484":166,"1485":167,"1486":168,"1487":169,"1488":170,"1489":171,"1490":172,"1491":173,"1492":174,"1493":175,"1494":176,"1495":177,"1496":178,"1497":179,"1498":180,"1499":181,"1715":182,"1730":183,"1737":184,"1760":185,"1761":186,"1762":187,"1763":188,"1764":189,"1765":190,"1766":191,"1780":192,"1781":193,"1782":194,"1783":195,"1784":196,"1785":197,"1814":198,"1860":199,"1861":200,"1862":201,"1863":202,"1864":203,"1880":204,"1881":205,"1882":206,"1883":207,"1884":208,"1885":209,"1904":210,"1907":211,"1917":212,"1960":213,"1961":214,"1962":215,"1980":216,"1981":217,"1982":218,"1983":219,"1984":220,"2021":221,"2023":222,"2026":223,"2029":224,"2031":225,"2034":226,"2039":227,"2061":228,"2062":229,"2080":230,"2081":231,"2082":232,"2083":233,"2084":234,"2085":235,"2101":236,"2104":237,"2121":238,"2132":239,"2161":240,"2180":241,"2181":242,"2182":243,"2183":244,"2184":245,"2260":246,"2262":247,"2280":248,"2281":249,"2282":250,"2283":251,"2284":252,"2303":253,"2305":254,"2309":255,"2313":256,"2321":257,"2326":258,"2361":259,"2380":260,"2401":261,"2403":262,"2404":263,"2409":264,"2417":265,"2418":266,"2421":267,"2422":268,"2425":269,"2460":270,"2462":271,"2463":272,"2480":273,"2481":274,"2482":275,"2505":276,"2506":277,"2510":278,"2513":279,"2514":280,"2518":281,"2521":282,"2523":283,"2560":284,"2580":285,"2581":286,"2582":287,"2583":288,"2584":289},"label":{"0114":"Upplands Väsby","0115":"Vallentuna","0117":"Österåker","0120":"Värmdö","0123":"Järfälla","0125":"Ekerö","0126":"Huddinge","0127":"Botkyrka","0128":"Salem","0136":"Haninge","0138":"Tyresö","0139":"Upplands-Bro","0140":"Nykvarn","0160":"Täby","0162":"Danderyd","0163":"Sollentuna","0180":"Stockholm","0181":"Södertälje","0182":"Nacka","0183":"Sundbyberg","0184":"Solna","0186":"Lidingö","0187":"Vaxholm","0188":"Norrtälje","0191":"Sigtuna","0192":"Nynäshamn","0305":"Håbo","0319":"Älvkarleby","0330":"Knivsta","0360":"Tierp","0380":"Uppsala","0381":"Enköping","0382":"Östhammar","0428":"Vingåker","0461":"Gnesta","0480":"Nyköping","0481":"Oxelösund","0482":"Flen","0483":"Katrineholm","0484":"Eskilstuna","0486":"Strängnäs","0488":"Trosa","0509":"Ödeshög","0512":"Ydre","0513":"Kinda","0560":"Boxholm","0561":"Åtvidaberg","0562":"Finspång","0563":"Valdemarsvik","0580":"Linköping","0581":"Norrköping","0582":"Söderköping","0583":"Motala","0584":"Vadstena","0586":"Mjölby","0604":"Aneby","0617":"Gnosjö","0642":"Mullsjö","0643":"Habo","0662":"Gislaved","0665":"Vaggeryd","0680":"Jönköping","0682":"Nässjö","0683":"Värnamo","0684":"Sävsjö","0685":"Vetlanda","0686":"Eksjö","0687":"Tranås","0760":"Uppvidinge","0761":"Lessebo","0763":"Tingsryd","0764":"Alvesta","0765":"Älmhult","0767":"Markaryd","0780":"Växjö","0781":"Ljungby","0821":"Högsby","0834":"Torsås","0840":"Mörbylånga","0860":"Hultsfred","0861":"Mönsterås","0862":"Emmaboda","0880":"Kalmar","0881":"Nybro","0882":"Oskarshamn","0883":"Västervik","0884":"Vimmerby","0885":"Borgholm","0980":"Gotland","1060":"Olofström","1080":"Karlskrona","1081":"Ronneby","1082":"Karlshamn","1083":"Sölvesborg","1214":"Svalöv","1230":"Staffanstorp","1231":"Burlöv","1233":"Vellinge","1256":"Östra Göinge","1257":"Örkelljunga","1260":"Bjuv","1261":"Kävlinge","1262":"Lomma","1263":"Svedala","1264":"Skurup","1265":"Sjöbo","1266":"Hörby","1267":"Höör","1270":"Tomelilla","1272":"Bromölla","1273":"Osby","1275":"Perstorp","1276":"Klippan","1277":"Åstorp","1278":"Båstad","1280":"Malmö","1281":"Lund","1282":"Landskrona","1283":"Helsingborg","1284":"Höganäs","1285":"Eslöv","1286":"Ystad","1287":"Trelleborg","1290":"Kristianstad","1291":"Simrishamn","1292":"Ängelholm","1293":"Hässleholm","1315":"Hylte","1380":"Halmstad","1381":"Laholm","1382":"Falkenberg","1383":"Varberg","1384":"Kungsbacka","1401":"Härryda","1402":"Partille","1407":"Öckerö","1415":"Stenungsund","1419":"Tjörn","1421":"Orust","1427":"Sotenäs","1430":"Munkedal","1435":"Tanum","1438":"Dals-Ed","1439":"Färgelanda","1440":"Ale","1441":"Lerum","1442":"Vårgårda","1443":"Bollebygd","1444":"Grästorp","1445":"Essunga","1446":"Karlsborg","1447":"Gullspång","1452":"Tranemo","1460":"Bengtsfors","1461":"Mellerud","1462":"Lilla Edet","1463":"Mark","1465":"Svenljunga","1466":"Herrljunga","1470":"Vara","1471":"Götene","1472":"Tibro","1473":"Töreboda","1480":"Göteborg","1481":"Mölndal","1482":"Kungälv","1484":"Lysekil","1485":"Uddevalla","1486":"Strömstad","1487":"Vänersborg","1488":"Trollhättan","1489":"Alingsås","1490":"Borås","1491":"Ulricehamn","1492":"Åmål","1493":"Mariestad","1494":"Lidköping","1495":"Skara","1496":"Skövde","1497":"Hjo","1498":"Tidaholm","1499":"Falköping","1715":"Kil","1730":"Eda","1737":"Torsby","1760":"Storfors","1761":"Hammarö","1762":"Munkfors","1763":"Forshaga","1764":"Grums","1765":"Årjäng","1766":"Sunne","1780":"Karlstad","1781":"Kristinehamn","1782":"Filipstad","1783":"Hagfors","1784":"Arvika","1785":"Säffle","1814":"Lekeberg","1860":"Laxå","1861":"Hallsberg","1862":"Degerfors","1863":"Hällefors","1864":"Ljusnarsberg","1880":"Örebro","1881":"Kumla","1882":"Askersund","1883":"Karlskoga","1884":"Nora","1885":"Lindesberg","1904":"Skinnskatteberg","1907":"Surahammar","1917":"Heby","1960":"Kungsör","1961":"Hallstahammar","1962":"Norberg","1980":"Västerås","1981":"Sala","1982":"Fagersta","1983":"Köping","1984":"Arboga","2021":"Vansbro","2023":"Malung-Sälen","2026":"Gagnef","2029":"Leksand","2031":"Rättvik","2034":"Orsa","2039":"Älvdalen","2061":"Smedjebacken","2062":"Mora","2080":"Falun","2081":"Borlänge","2082":"Säter","2083":"Hedemora","2084":"Avesta","2085":"Ludvika","2101":"Ockelbo","2104":"Hofors","2121":"Ovanåker","2132":"Nordanstig","2161":"Ljusdal","2180":"Gävle","2181":"Sandviken","2182":"Söderhamn","2183":"Bollnäs","2184":"Hudiksvall","2260":"Ånge","2262":"Timrå","2280":"Härnösand","2281":"Sundsvall","2282":"Kramfors","2283":"Sollefteå","2284":"Örnsköldsvik","2303":"Ragunda","2305":"Bräcke","2309":"Krokom","2313":"Strömsund","2321":"Åre","2326":"Berg","2361":"Härjedalen","2380":"Östersund","2401":"Nordmaling","2403":"Bjurholm","2404":"Vindeln","2409":"Robertsfors","2417":"Norsjö","2418":"Malå","2421":"Storuman","2422":"Sorsele","2425":"Dorotea","2460":"Vännäs","2462":"Vilhelmina","2463":"Åsele","2480":"Umeå","2481":"Lycksele","2482":"Skellefteå","2505":"Arvidsjaur","2506":"Arjeplog","2510":"Jokkmokk","2513":"Överkalix","2514":"Kalix","2518":"Övertorneå","2521":"Pajala","2523":"Gällivare","2560":"Älvsbyn","2580":"Luleå","2581":"Piteå","2582":"Boden","2583":"Haparanda","2584":"Kiruna"}}},"Kon":{"label":"sex","category":{"index":{"1":0,"2":1,"4":2},"label":{"1":"men","2":"women","4":"men and women"}}},"ContentsCode":{"label":"observations","category":{"index":{"AM0207AA":0},"label":{"AM0207AA":"commuters, numbers"},"unit":{"AM0207AA":{"base":"numbers","decimals":0}}}},"Tid":{"label":"year","category":{"index":{"1993":0,"1994":1,"1995":2,"1996":3,"1997":4,"1998":5,"1999":6,"2000":7,"2001":8,"2002":9,"2003":10},"label":{"1993":"1993","1994":"1994","1995":"1995","1996":"1996","1997":"1997","1998":"1998","1999":"1999","2000":"2000","2001":"2001","2002":"2002","2003":"2003"}}},"id":["Bostadskommun","Arbetsstallekommun","Kon","ContentsCode","Tid"],"size":[9,290,3,1,11],"role":{"metric":["ContentsCode"],"time":["Tid"]}},"label":"Gainfully employed commuters by municipality 16+ years by Municipality of residence, Municipality of work, sex, observations and year","source":"Statistics Sweden","updated":"2021-05-10T05:55:00Z","value":[0,0,0,0,1,2,2,2,3,1,1,1,0,1,0,1,3,1,1,0,0,0,1,0,1,0,2,5,3,3,3,1,1,0,0,0,0,0,1,1,4,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,4,0,1,3,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,3,0,1,1,0,0,2,0,1,0,2,0,1,0,2,1,2,0,0,0,0,1,1,1,1,0,1,0,2,0,1,0,3,1,2,1,2,2,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,3,2,4,4,3,3,3,0,0,2,1,0,0,0,0,1,1,0,0,1,2,2,3,2,4,4,4,4,3,0,1,3,3,0,0,0,0,3,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,3,3,0,0,2,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0,2,1,1,2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,2,2,5,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,1,1,3,3,2,6,1,1,2,1,2,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,3,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,1,1,16,18,20,20,17,16,24,26,24,32,24,5,7,7,11,7,9,9,7,8,10,7,21,25,27,31,24,25,33,33,32,42,31,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,2,0,0,1,0,0,0,0,0,1,1,1,2,2,2,0,0,0,0,0,2,0,1,1,1,1,1,0,0,0,0,3,1,2,3,3,3,1,7,2,1,2,0,0,0,1,1,2,1,0,1,0,2,0,0,0,0,0,0,4,7,3,1,4,0,0,0,1,1,2,5,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,2,3,2,2,3,2,7,4,4,1,0,1,1,0,0,0,0,0,1,2,2,1,3,4,2,2,3,2,7,5,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,4,3,2,0,3,5,4,3,9,1,1,1,1,0,1,0,1,0,1,2,3,3,5,4,2,1,3,6,4,4,11,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,2,4,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,4,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,2,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,5,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,2,1,2,2,3,1,3,4,2,0,0,0,1,0,3,2,2,5,6,0,3,3,2,2,2,5,5,3,8,10,2,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,2,3,2,3,4,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,3,1,2,3,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,2,1,2,1,1,2,1,2,1,4,2,2,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,2,1,2,1,4,3,4,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,3,4,1,0,1,0,1,2,2,1,0,1,0,0,0,1,0,0,1,1,2,1,4,4,1,0,2,0,1,3,3,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,2,3,1,1,0,3,2,6,3,2,2,1,2,2,3,0,0,2,1,2,6,5,3,5,3,4,0,3,4,7,5,0,0,0,0,0,2,3,1,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,2,2,3,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,1,0,1,1,1,1,0,0,1,2,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,2,3,2,1,0,1,2,2,2,7,5,1,3,3,4,4,4,5,8,1,1,0,2,2,2,2,2,1,1,1,3,8,5,3,5,5,6,6,5,6,9,0,1,1,1,1,0,0,0,1,1,2,0,1,2,0,0,0,0,0,0,2,0,0,2,3,1,1,0,0,0,1,3,2,5,3,13,8,3,6,1,5,3,9,7,1,5,3,3,3,4,2,1,1,2,4,6,8,16,11,6,10,3,6,4,11,11,14,21,16,14,14,19,12,14,7,16,14,10,6,10,11,11,12,17,18,23,18,19,24,27,26,25,25,31,29,32,30,34,33,861,850,838,808,796,830,792,782,788,826,803,917,914,928,932,887,888,831,849,866,881,878,1778,1764,1766,1740,1683,1718,1623,1631,1654,1707,1681,9,16,14,8,12,10,12,17,17,16,18,3,5,3,4,6,5,7,10,9,11,7,12,21,17,12,18,15,19,27,26,27,25,1,0,0,0,0,0,4,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,5,1,0,1,0,397,392,416,408,374,382,402,424,446,459,489,408,380,368,364,366,358,376,397,397,424,426,805,772,784,772,740,740,778,821,843,883,915,12,20,18,14,17,16,17,19,14,18,19,9,6,10,8,4,9,4,8,13,14,12,21,26,28,22,21,25,21,27,27,32,31,14,9,17,21,24,21,17,12,9,18,16,1,0,1,5,3,1,7,3,3,3,5,15,9,18,26,27,22,24,15,12,21,21,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,1,0,2,0,2,4,7,4,0,1,1,1,1,0,1,0,0,1,1,0,1,1,2,1,2,1,2,4,8,5,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,2,1,0,0,0,0,0,1,1,1,0,3,1,0,0,0,1,0,4,3,3,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,3,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,1,3,4,2,0,1,0,1,1,0,0,2,5,5,2,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,6,0,2,0,0,2,4,6,4,6,5,5,2,4,7,10,0,0,0,2,0,1,2,1,0,0,2,2,4,6,6,6,6,7,3,4,7,12,0,0,0,0,0,1,2,3,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,3,0,1,0,0,0,2,2,3,5,3,0,0,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,3,3,3,5,3,0,0,2,1,0,0,1,1,2,3,1,0,1,2,0,0,0,0,2,1,1,0,0,1,1,0,0,0,1,3,3,4,1,0,2,3,0,3,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,3,1,1,2,1,1,2,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,2,0,4,4,4,5,9,12,5,2,6,5,7,0,0,0,0,0,0,0,1,2,0,2,4,4,4,5,9,12,5,3,8,5,9,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,2,0,1,2,2,1,1,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,2,0,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,1,1,1,2,0,0,0,0,1,2,0,0,0,0,0,1,2,1,0,0,1,1,1,1,1,2,1,2,1,0,1,3,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,2,0,0,2,0,0,2,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,2,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,3,1,0,1,0,1,1,0,0,3,2,4,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,1,0,3,2,4,2,0,0,1,1,1,0,2,1,1,2,2,3,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,2,1,1,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,2,1,1,1,1,1,2,2,2,2,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,2,2,3,2,1,2,0,0,0,1,0,0,0,2,1,1,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,2,4,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,2,1,2,2,2,1,6,4,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,7,5,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,7,5,7,7,16,14,14,23,10,12,14,5,6,9,7,9,13,22,19,12,13,8,12,11,16,14,25,27,36,42,22,25,22,3,1,0,0,2,1,0,1,3,3,2,1,1,1,1,0,0,0,0,0,0,1,4,2,1,1,2,1,0,1,3,3,3,3,4,1,1,1,1,0,0,1,0,0,2,4,1,1,1,0,0,0,0,1,1,5,8,2,2,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,4,2,2,6,1,2,0,1,3,0,0,0,0,0,0,1,1,0,2,2,0,0,4,2,2,6,2,3,0,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,1,2,4,2,2,1,0,1,1,0,2,1,0,0,0,2,0,2,0,1,0,4,2,2,4,2,4,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,3,1,1,0,1,3,0,1,1,1,1,2,1,5,1,0,0,1,1,1,0,0,1,4,2,1,1,3,1,2,2,1,1,3,5,7,3,1,3,8,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,3,1,4,9,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,2,3,1,0,0,0,0,0,1,12,9,10,0,0,0,0,0,0,0,0,0,1,10,0,0,0,0,0,0,0,1,12,10,20,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,3,0,0,0,0,1,1,1,1,1,0,0,0,2,0,0,1,1,1,1,2,1,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,4,4,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,4,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,3,0,0,0,0,0,0,0,0,4,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,6,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,6,1,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,3,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,3,2,2,4,6,7,4,4,1,0,0,1,0,2,1,4,4,3,2,3,1,1,4,2,4,5,10,11,7,6,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3,3,1,0,0,0,0,0,1,0,1,3,3,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,4,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,5,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,3,2,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,2,5,3,2,2,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,2,1,2,6,4,2,3,1,1,1,1,0,7,5,0,0,0,6,7,9,16,14,1,1,0,0,0,0,16,12,1,13,13,1,8,5,0,0,0,22,19,10,29,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,2,3,3,1,4,3,1,3,0,0,1,0,0,0,1,0,0,0,0,0,0,2,2,3,3,2,4,3,1,3,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,2,5,3,3,2,2,1,0,0,0,2,2,1,1,1,1,0,3,2,2,3,6,4,6,4,4,3,2,1,1,0,0,0,2,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,11,15,18,18,27,30,27,24,29,24,25,13,11,8,10,14,22,19,17,11,12,16,24,26,26,28,41,52,46,41,40,36,41,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,2,1,1,1,0,0,0,2,7,4,2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,1,1,3,3,4,7,6,2,0,0,0,1,1,3,3,2,4,2,2,2,3,3,5,4,5,6,1,1,2,1,1,2,2,3,6,7,4,3,5,4,3,3,5,5,8,10,12,10,15,13,13,10,10,9,8,8,9,13,13,5,4,1,1,2,4,2,4,3,4,5,20,17,14,11,12,13,10,12,12,17,18,1368,1409,1419,1355,1323,1338,1308,1306,1284,1302,1301,1395,1372,1374,1376,1334,1317,1262,1256,1275,1296,1289,2763,2781,2793,2731,2657,2655,2570,2562,2559,2598,2590,0,0,1,4,4,5,2,4,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,5,2,4,2,1,2,158,157,182,142,144,154,160,167,187,198,220,74,66,78,72,77,78,84,79,81,88,96,232,223,260,214,221,232,244,246,268,286,316,16,24,40,23,22,23,29,31,39,35,27,5,9,5,2,5,4,2,21,8,10,10,21,33,45,25,27,27,31,52,47,45,37,8,8,9,19,19,13,17,11,14,12,18,0,1,2,0,1,2,3,3,4,2,3,8,9,11,19,20,15,20,14,18,14,21,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1,1,0,1,0,0,4,4,4,3,4,5,5,6,5,5,7,0,0,2,1,1,1,1,1,1,0,0,4,4,6,4,5,6,6,7,6,5,7,0,0,1,1,1,3,1,3,5,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,1,3,5,3,3,0,0,0,0,3,4,2,5,6,5,3,2,0,1,1,8,9,7,8,8,8,2,2,0,1,1,11,13,9,13,14,13,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,2,3,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,4,0,1,1,1,1,3,1,2,1,1,2,2,1,1,1,0,0,1,5,2,3,6,2,2,2,2,1,3,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,1,3,2,1,7,5,5,4,5,9,6,5,8,11,9,1,0,0,1,3,5,5,4,2,1,1,8,5,5,5,8,14,11,9,10,12,10,3,2,1,6,2,2,2,4,1,2,3,0,0,0,0,0,0,0,1,2,5,0,3,2,1,6,2,2,2,5,3,7,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,2,1,1,1,2,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,4,3,2,1,1,1,3,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,1,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,1,0,1,2,2,4,4,2,0,0,0,0,0,0,0,3,1,1,1,0,0,0,1,0,1,2,5,5,5,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,4,4,0,2,3,2,3,3,3,0,0,0,0,0,0,1,0,2,1,0,0,2,4,4,0,2,4,2,5,4,3,1,0,0,1,2,1,1,0,2,0,0,5,0,0,0,1,0,0,0,0,0,0,6,0,0,1,3,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,1,1,0,2,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,2,3,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,2,1,1,1,1,2,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,0,0,2,4,3,4,3,3,4,5,3,1,1,1,1,1,1,2,2,2,0,0,1,1,3,5,4,5,5,5,6,5,3,0,0,2,0,5,4,2,3,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,5,4,2,3,1,1,1,23,25,21,22,19,26,31,31,27,26,25,7,10,10,9,8,11,13,13,5,9,8,30,35,31,31,27,37,44,44,32,35,33,1,1,1,1,1,1,2,2,3,1,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,1,1,1,3,2,3,1,1,0,0,1,1,0,0,0,0,1,3,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,3,1,0,0,0,0,1,2,0,1,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,2,3,2,1,1,2,2,0,2,1,3,4,4,3,2,2,2,0,0,0,1,1,0,2,2,3,3,4,2,0,2,2,4,4,6,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1,2,4,1,1,0,1,1,1,2,5,4,1,2,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,1,3,6,4,1,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,4,6,5,6,2,7,9,8,9,10,8,0,1,4,2,3,2,3,2,2,4,1,4,7,9,8,5,9,12,10,11,14,9,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,2,0,1,1,1,1,2,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,1,1,1,1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,3,0,1,0,0,0,0,1,2,1,0,4,1,2,0,0,2,0,1,2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,1,2,2,2,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,3,3,3,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,7,0,0,0,1,0,2,1,1,0,0,2,0,0,1,1,1,3,2,1,0,1,9,0,0,1,2,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,5,3,3,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,3,3,4,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,2,2,1,0,0,0,0,0,0,0,0,0,1,1,2,2,0,1,0,0,0,2,2,3,2,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,3,4,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,5,5,7,4,5,8,7,6,7,3,3,1,1,5,0,1,11,2,11,1,1,7,6,6,12,4,6,19,9,17,8,4,1,0,0,0,0,0,1,0,2,2,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,2,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,1,1,1,2,1,1,0,0,0,0,0,1,1,1,2,2,4,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,3,3,3,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,3,3,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,1,0,0,2,1,3,3,3,2,2,1,1,1,1,0,1,0,0,0,0,5,3,2,1,1,2,2,3,3,3,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,1,0,0,0,0,2,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,3,3,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,3,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,1,0,2,2,1,2,3,2,2,3,2,2,2,0,0,0,0,1,0,0,0,2,1,0,2,2,1,2,4,2,2,3,4,3,2,2,3,5,5,3,5,6,5,4,7,7,1,0,1,1,1,2,2,3,3,3,4,3,3,6,6,4,7,8,8,7,10,11,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,4,2,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,2,1,2,3,1,4,2,0,0,0,0,3,1,5,4,4,7,8,9,9,7,8,8,9,15,7,8,10,9,10,8,9,7,11,7,9,9,12,17,17,19,17,16,15,19,16,24,16,3,3,3,6,6,6,5,2,5,6,5,1,1,1,1,1,2,3,1,1,0,0,4,4,4,7,7,8,8,3,6,6,5,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,2,2,2,1,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,13,10,13,10,12,9,8,7,10,10,13,7,10,8,10,10,7,7,13,10,9,7,20,20,21,20,22,16,15,20,20,19,20,21,37,25,20,21,23,22,21,21,14,15,5,11,5,8,5,11,13,10,12,7,10,26,48,30,28,26,34,35,31,33,21,25,2,3,3,1,3,0,0,0,0,1,1,4,1,2,0,0,0,0,0,0,1,2,6,4,5,1,3,0,0,0,0,2,3,180,184,197,201,207,213,206,212,209,226,211,171,159,148,146,146,148,151,151,152,155,154,351,343,345,347,353,361,357,363,361,381,365,2,4,3,2,1,1,2,4,2,1,3,0,0,0,0,0,0,0,1,0,0,0,2,4,3,2,1,1,2,5,2,1,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,3,4,1,4,1,1,1,3,1,0,0,1,3,2,5,2,1,1,3,1,1,1,4,7,3,4,7,4,1,1,1,1,1,1,2,1,0,1,1,0,1,0,0,2,0,2,4,4,8,5,1,2,1,1,3,1,4,3,1,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,3,1,1,3,1,0,0,0,0,0,2,0,0,0,0,1,3,2,1,1,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,1,4,2,1,1,1,3,0,0,1,0,1,0,0,2,2,1,2,1,2,0,0,0,0,0,0,1,1,0,1,2,1,0,1,0,0,2,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,1,0,1,0,0,1,1818,1974,1924,1802,1769,1747,1660,1646,1574,1576,1489,1638,1681,1620,1537,1476,1441,1423,1372,1372,1381,1298,3456,3655,3544,3339,3245,3188,3083,3018,2946,2957,2787,4,2,2,1,1,1,0,0,1,3,12,0,1,1,1,1,1,1,0,1,1,1,4,3,3,2,2,2,1,0,2,4,13,24,39,42,32,36,37,35,37,39,43,59,13,11,8,12,5,4,10,13,16,23,27,37,50,50,44,41,41,45,50,55,66,86,51,53,50,65,64,96,92,79,101,78,72,31,35,28,26,24,33,35,23,21,29,25,82,88,78,91,88,129,127,102,122,107,97,5,6,8,5,3,3,3,6,5,9,12,1,2,0,2,2,1,2,3,2,5,8,6,8,8,7,5,4,5,9,7,14,20,5,5,7,10,4,5,5,6,9,7,10,7,1,1,1,0,1,1,1,0,0,2,12,6,8,11,4,6,6,7,9,7,12,7,11,9,9,10,9,13,16,13,15,18,4,2,4,3,3,4,4,7,5,8,7,11,13,13,12,13,13,17,23,18,23,25,515,522,579,619,564,602,630,640,638,632,627,483,478,490,508,503,540,543,567,564,566,587,998,1000,1069,1127,1067,1142,1173,1207,1202,1198,1214,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,2,3,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,3,2,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,5,5,1,2,5,8,3,6,1,3,1,0,0,0,0,1,0,2,1,0,0,12,5,5,1,2,6,8,5,7,1,3,1,2,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,2,1,1,2,0,1,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,2,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,2,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,1,1,2,2,3,3,4,3,2,0,0,0,0,1,0,1,1,1,1,2,0,1,1,1,3,2,4,4,5,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,10,0,0,1,3,4,3,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,3,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,5,4,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,1,3,5,0,0,1,0,0,0,0,0,0,0,0,0,1,3,1,0,0,1,0,1,3,5,0,1,1,0,1,1,2,0,3,2,0,1,1,0,0,0,1,2,2,2,0,0,1,2,1,0,1,2,4,2,5,2,0,1,0,2,3,5,5,3,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,2,3,5,6,4,1,0,1,0,1,1,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,3,3,1,0,0,0,0,1,1,0,0,2,2,2,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,3,2,3,3,1,0,0,0,0,1,1,1,2,1,3,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,1,1,1,2,3,4,0,1,0,0,1,0,0,0,2,0,0,2,1,2,2,0,0,0,0,1,1,0,2,2,2,2,1,0,0,0,3,1,0,2,1,2,0,1,1,3,3,1,4,5,0,0,0,0,1,0,1,1,3,2,5,2,1,2,0,2,1,4,4,4,6,10,1,1,2,2,1,1,1,4,0,0,0,0,0,0,1,1,1,0,1,3,3,2,1,1,2,3,2,2,1,5,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,3,5,5,5,10,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,4,5,5,5,11,1,2,1,2,1,0,1,1,4,4,3,0,0,0,0,0,0,0,0,1,1,0,1,2,1,2,1,0,1,1,5,5,3,2,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,1,0,0,1,2,1,1,1,1,0,0,0,0,0,2,3,3,2,3,0,2,4,1,0,0,3,5,4,3,4,1,3,1,1,2,2,3,1,1,0,1,0,1,2,2,2,2,0,2,3,2,2,3,4,3,3,4,4,3,3,4,2,3,3,3,2,2,2,2,2,2,7,8,4,4,1,1,1,0,0,2,0,4,0,1,1,4,3,3,2,2,4,2,11,8,5,5,31,33,30,44,46,54,57,75,52,69,49,13,17,20,24,25,30,41,51,36,29,31,44,50,50,68,71,84,98,126,88,98,80,1,2,2,2,1,4,3,2,3,5,3,0,1,1,0,0,1,0,0,0,3,0,1,3,3,2,1,5,3,2,3,8,3,3,2,1,1,0,1,0,1,4,2,3,2,0,0,0,0,0,1,1,1,4,2,5,2,1,1,0,1,1,2,5,6,5,2,2,4,2,1,2,1,1,1,0,0,0,1,0,1,0,0,0,2,1,2,3,2,3,4,3,1,2,1,3,2,2,3,11,6,6,4,7,9,7,4,6,6,5,0,1,3,2,1,3,5,3,3,1,2,11,7,9,6,8,12,12,7,9,7,7,2,1,1,3,1,1,0,2,2,1,1,0,0,1,0,0,0,1,1,0,0,1,2,1,2,3,1,1,1,3,2,1,2,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,2,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,1,1,1,0,0,1,2,2,4,5,7,4,6,5,6,1,0,1,2,2,1,3,2,2,3,1,1,1,3,4,6,6,10,6,8,8,7,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,3,1,1,2,0,2,4,3,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,1,1,2,0,2,4,3,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,9,12,12,10,11,13,8,15,14,20,12,2,4,5,6,2,8,7,8,4,6,7,11,16,17,16,13,21,15,23,18,26,19,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,3,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,2,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,2,2,1,6,2,2,5,0,0,0,0,3,4,2,1,1,2,7,0,0,1,1,5,6,3,7,3,4,0,0,0,0,1,1,4,3,2,4,4,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,4,4,3,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,2,1,4,2,3,0,0,0,0,0,1,0,0,2,2,0,0,1,2,1,1,2,2,1,6,4,3,0,2,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,1,0,1,1,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,0,0,0,1,0,2,0,0,0,1,0,1,0,1,0,0,2,1,0,0,1,8,1,0,1,1,0,2,3,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,2,3,1,1,1,0,0,0,2,1,2,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,5,5,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,7,5,5,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,2,0,0,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,3,6,4,3,3,1,3,3,5,5,2,0,1,0,0,1,2,1,1,1,2,1,3,7,4,3,4,3,4,4,6,7,3,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,2,1,1,0,1,0,0,2,2,1,1,2,2,1,0,0,0,2,1,1,1,1,2,3,3,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,1,2,3,3,3,2,2,2,0,1,0,2,1,0,0,2,1,0,0,0,0,0,0,0,2,0,5,3,2,2,0,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,4,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,3,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,3,2,2,3,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,3,2,2,3,2,2,0,1,1,2,2,1,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,1,1,1,3,2,2,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,1,3,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,7,4,4,3,7,8,4,12,6,0,4,2,2,0,2,3,5,10,3,5,3,6,9,6,4,5,10,13,14,15,11,0,0,1,0,0,1,1,2,3,2,1,0,1,0,0,0,1,0,0,1,1,2,0,1,1,0,0,2,1,2,4,3,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,1,1,2,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,2,2,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,1,0,2,2,2,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,2,2,3,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,1,2,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,6,7,4,6,4,7,7,5,5,5,4,1,3,0,2,1,3,2,3,2,1,6,7,10,4,8,5,10,9,8,7,6,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,3,3,3,3,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,2,2,2,1,2,1,2,1,2,5,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,2,1,2,1,2,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,3,2,1,3,3,5,6,1,1,3,4,1,2,2,1,3,3,1,3,3,7,8,4,4,3,4,6,8,7,4,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,2,1,1,2,2,2,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,14,13,10,6,5,8,6,3,2,4,5,3,1,1,1,0,3,2,3,0,0,14,17,14,11,7,5,11,8,6,2,4,3,2,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,2,2,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,3,2,4,3,3,3,8,4,8,12,7,11,11,7,3,2,2,2,2,2,4,4,2,6,11,6,5,5,10,6,10,16,11,13,17,16,19,24,21,16,26,23,24,20,20,19,9,6,14,18,16,11,13,13,13,11,9,25,25,38,39,32,37,36,37,33,31,28,2,2,1,3,2,4,2,2,2,1,2,1,0,0,0,0,0,0,1,1,2,1,3,2,1,3,2,4,2,3,3,3,3,28,19,19,31,22,25,26,31,33,38,42,3,3,7,7,10,9,9,10,10,13,12,31,22,26,38,32,34,35,41,43,51,54,31,31,29,30,32,33,29,38,41,38,39,19,25,21,24,26,22,34,33,33,38,29,50,56,50,54,58,55,63,71,74,76,68,128,143,146,131,124,143,120,134,126,118,115,82,90,92,86,92,105,110,109,112,122,119,210,233,238,217,216,248,230,243,238,240,234,63,72,65,73,86,72,70,76,100,80,85,44,53,55,58,54,66,58,55,56,58,65,107,125,120,131,140,138,128,131,156,138,150,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,4112,4096,4167,3988,3931,4047,3998,4032,3994,4086,4150,4091,4034,3937,3873,3810,3857,3830,3928,3966,4025,4030,8203,8130,8104,7861,7741,7904,7828,7960,7960,8111,8180,50,54,74,64,65,71,69,84,84,81,72,44,45,38,37,47,41,52,52,51,66,68,94,99,112,101,112,112,121,136,135,147,140,33,33,50,70,77,71,89,62,63,79,61,12,12,18,22,14,17,27,11,22,16,20,45,45,68,92,91,88,116,73,85,95,81,1,3,4,2,2,2,3,3,3,4,2,1,7,0,0,0,0,2,1,1,1,2,2,10,4,2,2,2,5,4,4,5,4,2,1,3,7,3,3,3,4,1,0,3,0,0,0,0,2,1,1,1,1,0,1,2,1,3,7,5,4,4,5,2,0,4,1,0,1,1,3,1,1,0,0,3,3,0,3,3,3,2,0,0,0,3,3,1,1,3,4,4,5,1,1,0,3,6,4,3,4,5,5,6,8,6,7,6,6,6,3,3,3,1,3,6,4,4,3,5,3,6,7,8,6,9,14,10,11,9,11,9,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,2,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,2,1,1,1,0,0,0,0,0,4,3,4,5,5,5,5,2,2,1,0,0,0,0,0,0,0,0,2,2,1,0,4,3,4,5,5,5,5,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,2,3,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,2,3,1,7,7,13,14,13,15,7,9,9,10,9,2,1,2,6,3,4,3,3,4,2,4,9,8,15,20,16,19,10,12,13,12,13,2,1,2,4,4,2,1,6,3,4,3,7,7,1,1,1,1,2,1,1,1,0,9,8,3,5,5,3,3,7,4,5,3,2,3,4,4,2,4,3,1,2,2,3,0,0,0,1,1,1,1,1,2,1,1,2,3,4,5,3,5,4,2,4,3,4,0,1,0,0,1,1,2,1,2,0,0,0,0,0,0,0,1,2,1,1,0,0,0,1,0,0,1,2,4,2,3,0,0,0,0,1,0,0,1,0,1,1,2,2,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,0,2,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,2,1,3,4,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,2,1,3,5,1,1,0,1,2,3,5,1,1,2,1,1,1,5,2,3,1,2,1,0,1,0,2,5,3,3,5,4,7,2,1,3,1,3,6,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,1,2,0,1,2,1,1,0,0,0,2,1,1,1,1,0,1,0,0,0,1,4,2,3,1,2,2,2,1,0,0,1,0,1,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,2,2,1,1,0,0,1,0,0,3,1,1,0,2,2,0,0,2,2,0,4,1,3,2,0,0,0,1,1,2,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,2,1,0,0,0,2,3,3,3,6,13,7,4,4,4,3,1,2,0,0,0,2,3,2,0,2,0,3,5,3,3,6,15,10,6,4,6,3,1,1,0,2,3,3,3,5,5,4,2,0,0,0,1,2,0,4,0,0,2,2,1,1,0,3,5,3,7,5,5,6,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,3,2,1,2,1,4,3,3,4,4,0,1,1,0,0,0,0,1,0,1,0,3,4,3,1,2,1,4,4,3,5,4,0,2,3,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,3,3,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,5,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,3,3,2,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,2,4,3,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,3,5,6,6,4,3,5,7,7,12,9,1,2,2,3,0,1,3,2,3,0,2,4,7,8,9,4,4,8,9,10,12,11,2,0,0,1,2,1,3,2,0,1,3,0,0,0,0,0,0,1,1,0,1,1,2,0,0,1,2,1,4,3,0,2,4,0,1,1,1,0,0,0,0,1,0,0,1,1,2,0,0,3,0,0,0,0,2,1,2,3,1,0,3,0,0,1,0,2,0,1,0,0,1,1,1,1,5,5,2,1,0,2,1,0,1,1,0,2,0,6,1,1,2,1,1,2,2,1,7,5,8,6,8,8,8,10,9,10,9,9,8,3,0,1,1,2,2,1,3,2,0,0,1,6,9,9,10,12,10,13,11,9,8,4,1,2,1,2,1,1,0,1,1,2,1,0,1,1,1,1,2,1,0,0,0,0,1,3,2,3,2,3,1,1,1,2,1,2,4,5,4,6,4,4,4,3,5,2,5,4,1,2,2,3,4,2,3,3,7,7,8,6,6,8,7,8,6,6,8,9,14,14,16,17,15,15,9,10,6,5,5,4,5,5,4,4,3,2,4,3,1,1,18,19,21,21,19,18,11,14,9,6,6,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,6,2,4,7,4,6,4,6,12,13,17,1,1,0,1,1,1,1,2,6,2,1,7,3,4,8,5,7,5,8,18,15,18,0,0,0,0,4,2,1,1,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,4,2,1,1,2,2,2,0,1,1,1,0,1,1,9,5,6,9,0,1,0,0,1,1,3,1,0,0,2,0,2,1,1,1,2,4,10,5,6,11,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,4,7,4,10,4,3,5,8,6,3,4,2,1,2,1,3,3,3,5,4,3,4,6,8,6,11,7,6,8,13,10,6,8,2,5,6,5,9,11,9,7,5,10,4,2,3,4,7,2,3,1,1,2,2,1,4,8,10,12,11,14,10,8,7,12,5,3,7,8,13,6,7,8,5,12,15,11,2,3,4,4,2,4,5,2,3,5,2,5,10,12,17,8,11,13,7,15,20,13,127,159,158,154,162,170,192,215,224,231,196,62,90,74,65,51,87,93,108,108,97,96,189,249,232,219,213,257,285,323,332,328,292,12,11,11,18,13,11,59,50,10,13,10,4,3,2,4,6,4,7,6,4,5,5,16,14,13,22,19,15,66,56,14,18,15,6,7,1,2,5,5,8,5,8,6,6,2,2,2,3,3,1,0,2,2,2,3,8,9,3,5,8,6,8,7,10,8,9,3,2,2,4,3,7,7,5,6,6,10,3,0,1,0,0,1,1,0,3,4,7,6,2,3,4,3,8,8,5,9,10,17,31,30,21,35,31,26,31,26,26,27,26,4,6,4,11,8,9,12,7,8,14,16,35,36,25,46,39,35,43,33,34,41,42,4,4,5,4,4,4,4,5,9,4,4,2,0,2,0,2,11,4,1,3,1,3,6,4,7,4,6,15,8,6,12,5,7,2,2,1,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,1,1,0,0,1,2,1,2,2,4,3,2,1,1,1,1,1,2,0,2,0,1,1,1,1,1,1,1,1,2,4,4,4,3,2,2,2,2,2,3,14,13,14,13,14,13,11,13,14,10,16,3,0,3,1,0,4,0,2,5,5,6,17,13,17,14,14,17,11,15,19,15,22,0,0,1,1,2,0,0,0,0,1,2,1,0,3,2,3,2,2,1,1,1,1,1,0,4,3,5,2,2,1,1,2,3,0,1,0,4,4,2,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0,5,4,3,1,0,0,1,1,2,2,2,2,2,0,0,0,0,0,1,0,0,1,1,3,2,1,1,0,0,0,2,2,3,3,5,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,1,2,0,3,1,0,2,1,1,0,1,0,2,0,0,0,0,0,3,1,0,2,1,4,0,3,1,0,2,26,34,32,27,38,39,46,55,58,57,54,13,16,14,15,12,17,27,27,38,30,22,39,50,46,42,50,56,73,82,96,87,76,15,12,0,24,22,22,12,3,17,38,30,1,1,1,4,4,0,1,1,9,4,1,16,13,1,28,26,22,13,4,26,42,31,2,2,1,1,1,2,2,2,2,0,0,0,0,1,1,0,1,0,1,0,1,0,2,2,2,2,1,3,2,3,2,1,0,1,1,1,2,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,2,1,1,1,1,1,1,0,0,0,1,1,1,2,1,1,2,2,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,3,2,1,2,3,2,0,2,0,0,1,1,6,2,0,1,0,0,1,0,1,1,0,0,4,3,1,2,0,3,0,1,2,1,6,6,3,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,2,1,1,0,1,3,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,1,0,1,4,2,0,0,0,1,1,0,2,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,2,2,1,2,1,0,0,4,6,6,8,3,9,10,14,8,7,8,1,2,3,1,1,4,1,1,2,2,0,5,8,9,9,4,13,11,15,10,9,8,3,4,4,4,2,3,51,51,68,23,19,1,0,1,0,0,0,8,7,6,2,3,4,4,5,4,2,3,59,58,74,25,22,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,6,6,3,1,6,4,5,1,5,2,0,2,4,3,1,3,3,3,4,5,0,3,8,10,6,2,9,7,8,5,10,2,3,4,2,1,4,6,7,5,4,2,6,1,1,3,2,2,0,2,3,0,3,1,4,5,5,3,6,6,9,8,4,5,7,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,2,2,1,1,3,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,2,1,1,3,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,2,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,0,3,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,5,4,5,5,19,5,5,2,3,3,2,4,3,3,2,4,0,1,1,0,2,2,9,7,8,7,23,5,6,3,3,5,1,3,5,4,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,3,5,4,4,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,2,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,2,1,0,0,0,0,0,1,2,0,0,0,0,1,0,2,1,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,3,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,2,4,2,2,2,2,0,0,0,2,0,1,0,0,0,0,0,1,1,1,3,1,3,4,2,2,2,2,1,5,8,4,6,4,7,5,5,3,1,1,1,6,2,1,1,1,2,3,1,0,2,6,14,6,7,5,8,7,8,4,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,1,0,1,1,0,0,2,0,0,0,0,2,0,0,1,2,0,2,1,0,0,4,3,0,1,2,2,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,4,1,0,1,1,1,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,2,0,1,2,2,0,2,3,1,2,1,1,1,1,2,2,3,0,1,0,0,0,1,0,2,1,0,0,2,4,1,2,1,2,1,3,3,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,1,0,1,0,0,2,0,1,2,7,4,2,0,0,2,1,1,1,2,2,2,2,3,2,2,0,1,3,2,4,4,9,6,5,2,2,2,2,4,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1,0,1,2,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,4,0,1,0,1,2,3,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,2,1,2,3,1,1,1,1,1,2,2,3,1,2,3,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,2,2,3,5,4,4,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,5,4,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,2,2,0,1,1,0,0,0,1,0,1,1,1,0,0,1,3,0,1,1,0,1,3,3,0,1,11,8,14,12,7,12,16,15,10,15,8,2,9,3,2,5,4,8,4,5,5,6,13,17,17,14,12,16,24,19,15,20,14,1,2,4,1,0,0,2,0,3,4,5,0,1,2,0,2,3,2,1,1,0,2,1,3,6,1,2,3,4,1,4,4,7,1,0,0,0,5,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,6,0,0,0,1,1,1,4,4,6,2,1,2,5,4,3,2,4,1,2,1,1,0,4,2,3,2,1,2,5,6,7,3,1,6,7,7,5,3,6,3,3,2,1,1,1,1,1,1,2,1,0,0,1,0,1,0,0,0,0,0,0,3,3,3,1,2,1,1,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,1,1,1,2,2,14,3,1,0,0,1,0,2,1,2,2,0,0,0,0,1,2,1,3,2,4,4,14,3,1,0,0,0,2,1,1,1,1,2,2,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,1,1,2,3,2,2,0,0,0,1,2,1,0,0,1,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,2,1,1,0,1,1,2,0,0,0,0,1,2,0,1,0,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,2,3,2,2,0,3,2,1,1,0,0,1,2,1,2,0,2,2,0,2,2,1,3,5,3,4,0,5,4,1,3,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,2,1,3,1,0,2,3,3,2,1,2,1,2,2,0,1,3,2,2,3,0,1,0,0,5,1,1,5,5,5,5,1,3,1,2,0,0,1,0,0,0,2,2,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,3,2,1,1,1,2,2,2,1,1,0,1,2,2,1,3,1,1,1,0,0,0,0,1,1,1,0,3,3,3,1,1,0,1,3,3,2,3,0,0,0,2,2,1,2,3,4,2,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,2,2,3,4,2,3,0,1,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,1,1,1,1,2,0,0,1,0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,0,0,2,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,2,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,1,2,3,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,21,25,26,18,30,38,41,38,31,37,35,7,20,11,13,12,12,8,11,16,18,27,28,45,37,31,42,50,49,49,47,55,62,4,3,3,2,3,0,2,1,5,8,3,0,1,0,1,1,1,0,0,5,3,0,4,4,3,3,4,1,2,1,10,11,3,1,0,0,0,2,2,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,3,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,2,1,0,3,3,1,0,0,0,0,0,2,2,1,4,4,2,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,1,1,1,1,1,2,1,0,0,0,0,1,1,1,3,0,1,0,0,0,1,1,1,2,3,3,2,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,1,2,3,3,2,3,1,1,2,0,1,2,2,1,0,0,0,0,0,0,0,2,1,1,1,2,2,3,1,1,2,0,3,3,3,2,2,1,2,0,0,0,0,0,3,2,1,1,0,1,0,0,0,0,0,1,0,0,0,1,3,0,0,0,0,0,4,2,1,1,3,2,2,4,2,1,0,1,0,0,1,1,1,3,4,1,1,2,2,2,0,2,4,3,5,8,3,2,2,3,2,0,3,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,2,2,1,1,0,0,1,1,1,3,0,2,1,0,1,2,1,1,1,2,1,0,1,0,2,1,1,3,2,1,0,0,0,0,1,2,2,3,4,3,2,2,1,0,1,1,1,1,2,1,0,1,0,1,4,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,2,1,0,1,0,1,4,1,0,0,1,0,1,2,2,1,2,1,3,1,1,1,2,0,1,1,2,0,1,1,1,1,2,2,1,3,3,3,2,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,2,0,0,1,1,2,2,2,0,1,10,1,1,0,1,1,3,2,2,1,3,12,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,2,0,0,0,2,0,0,0,1,0,0,2,1,0,0,3,0,0,0,3,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,3,0,2,1,2,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,2,1,2,1,1,1,2,2,2,0,13,19,9,11,9,9,16,17,13,9,3,2,5,4,4,2,4,2,4,5,4,2,15,24,13,15,11,13,18,21,18,13,5,0,0,0,0,1,1,0,2,2,2,2,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,2,2,1,2,2,3,2,0,0,0,1,1,0,0,1,2,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,2,2,0,1,1,0,0,2,0,0,0,3,2,0,1,2,1,0,2,0,2,1,1,1,3,2,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,2,1,1,3,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,4,6,7,7,2,0,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,2,5,6,7,8,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,3,3,3,1,2,4,2,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,4,3,3,1,2,4,2,0,2,1,1,14,17,9,7,9,22,25,21,14,22,24,4,8,4,5,4,5,6,7,10,13,10,18,25,13,12,13,27,31,28,24,35,34,2,1,1,1,2,0,2,12,1,4,7,0,1,0,0,0,0,0,0,0,0,0,2,2,1,1,2,0,2,12,1,4,7,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,2,0,1,1,1,1,2,2,2,6,6,4,5,0,0,2,2,2,1,0,1,2,0,2,1,1,3,3,4,3,2,7,8,4,7,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,1,3,4,3,0,1,3,0,1,0,2,2,0,2,0,0,1,0,0,0,0,3,1,3,6,3,0,2,3,0,1,0,5,3,2,2,3,3,3,2,4,3,2,5,2,0,0,0,0,0,0,0,0,0,1,0,2,2,3,3,3,2,4,3,2,6,2,0,1,1,1,0,1,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,2,1,3,0,2,1,1,1,0,0,1,2,2,1,1,0,0,0,0,1,2,1,0,0,1,1,2,1,1,1,1,2,2,2,2,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,2,1,0,0,0,0,0,0,0,1,1,0,3,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,3,17,23,23,21,17,24,22,18,19,14,16,8,6,10,6,9,9,11,12,13,7,9,25,29,33,27,26,33,33,30,32,21,25,4,5,2,2,1,1,2,1,9,4,6,0,1,0,0,0,0,2,1,1,2,1,4,6,2,2,1,1,4,2,10,6,7,5,5,4,7,7,7,7,8,9,13,16,3,1,1,2,0,0,0,2,1,4,2,8,6,5,9,7,7,7,10,10,17,18,11,1,3,4,2,3,1,1,2,1,0,3,1,0,0,0,0,1,1,2,2,1,14,2,3,4,2,3,2,2,4,3,1,0,0,0,2,2,1,1,1,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,1,1,1,2,2,3,2,3,7,3,6,9,12,16,18,15,2,2,2,3,1,1,4,5,5,8,10,5,4,5,10,4,7,13,17,21,26,25,17,19,21,13,26,15,13,16,17,19,22,6,7,11,8,10,7,5,6,9,9,9,23,26,32,21,36,22,18,22,26,28,31,22,18,20,20,21,30,33,34,29,31,40,14,18,16,15,11,13,15,15,8,10,18,36,36,36,35,32,43,48,49,37,41,58,49,59,62,59,52,61,63,73,67,71,77,17,19,24,22,26,39,38,37,39,42,47,66,78,86,81,78,100,101,110,106,113,124,20,22,26,37,41,30,37,39,51,59,59,15,16,23,26,28,27,29,30,22,26,25,35,38,49,63,69,57,66,69,73,85,84,2,7,10,4,4,4,3,6,7,5,5,2,2,0,2,0,1,3,1,0,4,3,4,9,10,6,4,5,6,7,7,9,8,9,8,8,9,6,35,4,4,5,4,8,3,3,2,0,1,12,4,3,0,3,4,12,11,10,9,7,47,8,7,5,7,12,13,17,17,7,10,14,12,12,7,12,10,2,3,3,3,1,1,1,5,4,6,7,15,20,20,10,11,15,13,17,11,18,17,31,63,28,73,60,82,71,81,78,75,80,11,10,17,15,13,17,13,16,15,30,24,42,73,45,88,73,99,84,97,93,105,104,9810,9963,10065,9606,9423,9686,9632,9727,9806,9924,9905,11156,10999,10857,10591,10300,10415,10482,10686,10895,10977,10908,20966,20962,20922,20197,19723,20101,20114,20413,20701,20901,20813,1197,1166,1247,1271,1319,1319,1337,1345,1405,1538,1510,477,483,515,542,580,599,679,647,675,728,740,1674,1649,1762,1813,1899,1918,2016,1992,2080,2266,2250,32,40,30,30,26,28,43,38,37,44,42,15,17,13,11,13,15,18,22,24,27,27,47,57,43,41,39,43,61,60,61,71,69,47,44,55,59,67,62,61,67,68,69,78,23,26,26,29,38,37,32,30,36,31,43,70,70,81,88,105,99,93,97,104,100,121,25,33,40,41,46,35,46,35,38,45,44,14,16,19,17,13,11,10,15,13,18,14,39,49,59,58,59,46,56,50,51,63,58,36,44,36,44,37,44,45,47,34,53,59,25,21,17,19,16,22,16,15,18,39,27,61,65,53,63,53,66,61,62,52,92,86,1,1,1,2,1,2,0,1,4,5,4,1,1,0,2,3,3,1,4,8,6,4,2,2,1,4,4,5,1,5,12,11,8,56,62,72,71,68,68,65,74,66,71,72,21,13,11,12,19,15,19,11,16,19,26,77,75,83,83,87,83,84,85,82,90,98,2,3,2,4,6,6,7,5,3,5,4,2,1,1,1,0,3,1,1,1,1,3,4,4,3,5,6,9,8,6,4,6,7,0,0,2,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,1,1,1,3,1,0,0,0,0,2,1,1,0,1,1,1,1,4,2,2,2,3,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,2,2,4,2,2,2,3,0,51,72,68,62,78,78,56,62,75,68,73,30,35,42,27,35,50,32,36,39,55,46,81,107,110,89,113,128,88,98,114,123,119,51,52,65,71,61,71,74,69,78,75,69,24,24,25,29,29,33,29,30,24,31,25,75,76,90,100,90,104,103,99,102,106,94,4,5,5,40,39,6,3,4,2,1,3,1,6,4,0,4,1,2,1,1,3,2,5,11,9,40,43,7,5,5,3,4,5,0,2,4,4,6,6,5,4,4,7,4,1,2,2,2,3,2,3,0,1,2,5,1,4,6,6,9,8,8,4,5,9,9,8,7,3,3,2,3,6,8,8,7,6,2,1,0,1,1,1,2,2,3,7,6,10,8,3,4,3,4,8,10,11,14,12,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,11,2,2,3,3,2,2,2,0,3,1,2,0,0,2,1,0,0,3,0,4,3,13,2,2,5,4,2,2,5,15,16,12,12,12,10,12,12,10,14,13,0,0,5,2,1,5,0,1,1,7,9,15,16,17,14,13,15,12,13,11,21,22,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,1,1,0,0,0,2,0,1,1,0,2,1,0,0,1,1,2,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,2,2,0,0,2,2,2,1,1,1,1,1,2,1,0,2,1,1,1,1,2,1,0,0,0,1,0,0,1,1,0,0,2,1,2,1,1,2,1,2,2,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,0,1,0,0,1,0,0,0,0,2,2,3,2,1,1,1,2,0,1,2,0,0,0,1,0,0,1,1,1,2,1,2,2,3,3,1,1,2,3,1,3,3,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,2,2,2,2,0,0,1,0,3,3,4,2,3,1,4,1,1,0,0,2,1,0,0,2,2,2,1,1,1,0,5,4,4,2,5,3,6,4,6,4,8,6,6,17,11,9,14,7,4,4,5,3,3,5,7,6,7,5,6,8,10,9,11,9,11,24,17,16,19,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,3,1,1,9,9,14,12,10,12,10,11,10,18,18,3,2,7,6,3,2,5,2,3,1,1,12,11,21,18,13,14,15,13,13,19,19,0,8,7,7,0,1,2,1,1,1,0,0,1,0,1,1,2,1,0,1,2,0,0,9,7,8,1,3,3,1,2,3,0,6,3,2,4,3,1,0,5,1,3,2,3,1,0,1,0,0,0,8,1,1,1,9,4,2,5,3,1,0,13,2,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,2,1,1,0,1,0,1,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,10,6,3,4,2,8,3,5,4,5,2,2,0,1,0,1,1,2,0,2,3,1,12,6,4,4,3,9,5,5,6,8,3,0,4,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,4,4,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,2,0,1,0,2,0,0,1,1,0,2,2,0,1,0,0,0,1,1,3,2,5,4,0,2,0,2,0,1,2,3,4,3,7,5,6,7,10,7,7,4,1,1,0,8,1,0,2,3,0,0,3,4,5,3,15,6,6,9,13,7,7,7,0,0,0,0,0,0,2,1,1,1,2,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,2,1,1,1,3,0,2,0,0,0,0,4,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,4,2,2,1,2,0,0,1,1,1,1,0,0,1,2,2,0,1,1,1,0,1,0,0,1,1,2,0,1,2,2,1,2,0,0,2,3,4,3,3,5,4,3,4,7,11,7,6,4,2,2,2,1,1,2,3,1,3,3,1,5,5,7,5,4,6,10,12,10,9,5,1,2,1,2,1,2,2,1,1,0,0,2,0,0,1,0,0,1,0,1,1,2,3,2,1,3,1,2,3,1,2,1,2,3,2,3,7,6,4,6,5,8,11,7,4,3,3,2,1,2,2,1,4,3,3,7,5,6,9,7,6,8,6,12,14,10,0,1,4,2,8,0,5,3,4,3,4,2,1,2,2,1,2,2,1,0,0,1,2,2,6,4,9,2,7,4,4,3,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,1,2,1,2,3,6,6,2,6,3,1,0,0,2,1,1,0,1,1,1,3,3,1,2,3,3,4,6,7,3,7,6,0,1,0,0,1,1,1,2,4,2,1,1,1,0,0,1,0,0,1,0,0,1,1,2,0,0,2,1,1,3,4,2,2,0,0,0,0,0,1,0,1,0,1,2,0,0,1,1,1,1,2,1,1,0,1,0,0,1,1,1,2,2,2,1,1,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,4,5,5,6,7,9,5,3,4,1,1,0,0,1,0,2,0,3,2,2,3,7,4,5,6,6,9,9,8,5,6,4,2,2,3,3,4,3,1,4,1,1,3,2,2,0,0,0,1,1,2,2,1,1,4,4,3,3,4,4,2,6,3,2,4,7,10,8,8,7,8,2,8,10,10,6,1,7,9,4,1,3,0,4,5,1,2,8,17,17,12,8,11,2,12,15,11,8,92,92,95,89,94,113,109,135,121,129,110,65,61,51,45,42,54,66,94,75,86,65,157,153,146,134,136,167,175,229,196,215,175,3,6,7,3,6,1,6,8,5,4,2,1,1,3,3,2,2,2,2,2,3,2,4,7,10,6,8,3,8,10,7,7,4,5,4,6,3,3,6,3,4,8,3,5,2,1,3,1,1,0,2,5,2,0,0,7,5,9,4,4,6,5,9,10,3,5,2,3,3,2,6,10,8,9,7,6,5,0,0,0,0,3,0,1,2,0,5,3,2,3,3,2,9,10,9,11,7,11,8,14,18,12,19,15,19,23,30,31,36,24,4,6,3,2,3,6,2,4,5,6,22,18,24,15,21,18,25,25,34,36,42,46,4,5,5,5,5,6,5,2,2,2,3,0,0,1,3,3,6,5,0,1,1,1,4,5,6,8,8,12,10,2,3,3,4,2,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,1,0,1,0,0,0,0,0,1,1,1,1,1,1,2,2,1,0,1,1,0,0,1,1,0,0,1,0,1,2,1,1,1,2,2,1,2,3,1,1,3,2,9,6,11,12,14,13,9,13,16,11,11,2,5,4,6,2,6,2,3,7,5,1,11,11,15,18,16,19,11,16,23,16,12,0,0,1,1,0,1,1,2,0,1,0,2,0,1,1,0,0,0,1,1,1,1,2,0,2,2,0,1,1,3,1,2,1,1,1,0,2,2,1,2,3,1,5,5,0,1,0,0,0,0,0,0,0,0,3,1,2,0,2,2,1,2,3,1,5,8,1,0,0,2,0,0,0,0,9,4,8,0,0,1,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,9,4,9,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,2,4,1,2,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,4,1,2,0,1,3,21,18,25,19,16,17,17,53,39,41,37,12,15,11,11,15,15,12,23,22,17,14,33,33,36,30,31,32,29,76,61,58,51,8,2,5,6,8,6,2,2,4,2,1,1,0,1,0,1,1,1,0,1,0,0,9,2,6,6,9,7,3,2,5,2,1,2,0,4,2,2,1,4,2,2,1,1,0,0,0,0,0,0,0,1,1,0,0,2,0,4,2,2,1,4,3,3,1,1,1,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,4,4,4,2,6,2,1,3,4,0,1,1,0,0,0,0,0,1,1,1,1,2,5,4,4,2,6,2,2,4,5,0,0,0,1,0,4,4,4,5,0,4,0,1,1,0,0,1,1,1,1,0,3,0,1,1,1,0,5,5,5,6,0,7,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,1,2,3,6,5,6,7,5,2,4,4,6,2,1,1,2,4,1,2,0,5,6,3,4,4,7,7,10,8,7,2,9,10,9,6,3,1,6,2,1,0,9,4,5,2,4,1,0,0,0,0,0,0,1,0,1,0,4,1,6,2,1,0,9,5,5,3,4,0,1,1,2,2,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,2,3,1,1,4,2,2,2,0,0,1,1,0,0,1,0,0,0,0,1,1,6,3,3,1,2,4,2,2,2,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,3,2,3,2,1,36,6,5,4,16,4,2,3,2,2,3,9,2,1,1,8,1,5,5,5,4,4,45,8,6,5,24,5,1,1,1,1,1,2,15,4,4,5,4,2,3,2,0,1,0,20,5,2,1,1,3,4,3,1,2,2,35,9,6,6,5,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,3,1,3,4,1,1,1,2,5,4,0,0,0,0,1,0,0,2,1,2,0,2,3,1,3,5,1,1,3,3,7,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,1,1,1,3,1,1,0,0,1,0,0,0,0,0,0,0,2,1,1,2,2,2,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,3,4,4,6,2,5,4,6,7,0,0,0,0,0,0,1,1,2,4,3,1,4,3,4,4,6,3,6,6,10,10,2,3,3,2,1,3,2,4,4,6,8,0,1,0,0,0,0,0,0,1,0,0,2,4,3,2,1,3,2,4,5,6,8,0,0,1,1,1,1,2,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1,3,2,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,4,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,1,1,4,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,3,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,1,2,1,1,1,2,1,4,4,4,4,4,3,2,1,1,2,0,1,2,2,0,0,1,3,2,2,4,1,5,6,6,4,4,4,0,2,2,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,3,2,4,4,4,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,4,2,4,4,5,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,2,1,1,3,2,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,2,0,3,1,0,0,0,0,3,0,0,2,1,1,0,3,1,2,5,2,1,0,4,1,4,1,3,1,2,5,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,2,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,2,2,2,2,1,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,5,6,7,7,8,10,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,5,6,7,7,8,10,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,2,1,1,1,1,1,2,2,1,1,2,0,0,0,0,0,0,1,1,0,0,0,2,1,1,1,1,1,3,3,1,1,2,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,2,3,1,1,0,2,1,1,1,0,1,1,2,1,0,1,2,1,1,1,2,3,3,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,18,15,13,11,9,14,15,14,19,23,9,1,1,7,4,4,8,6,5,8,8,7,19,16,20,15,13,22,21,19,27,31,16,2,1,0,2,3,1,3,4,4,1,1,1,0,0,1,1,2,1,2,1,1,1,3,1,0,3,4,3,4,6,5,2,2,4,4,2,5,1,1,1,1,2,1,1,0,0,0,0,0,0,0,1,0,2,0,4,4,2,5,1,1,1,2,2,3,1,3,3,4,1,0,0,0,2,1,4,5,2,0,3,0,0,0,1,1,1,2,0,5,3,7,1,0,0,1,3,2,6,5,5,5,5,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,5,6,5,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,1,0,1,2,2,3,0,0,0,0,0,2,2,1,1,0,0,1,0,2,2,2,3,2,2,3,2,3,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,3,3,6,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,2,3,3,7,1,0,2,1,0,0,1,2,3,2,0,1,4,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,2,0,1,4,2,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,1,1,4,2,3,5,3,5,2,1,2,1,0,0,1,0,1,0,1,3,3,5,2,1,4,3,3,6,3,6,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,1,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,3,1,1,1,2,1,1,2,3,2,1,1,0,0,1,1,1,1,1,5,6,2,0,1,1,2,3,2,2,3,8,8,3,1,0,0,0,0,1,1,4,4,2,1,2,0,0,1,0,0,0,0,0,0,5,0,0,0,1,0,1,1,4,4,2,6,2,1,1,1,1,1,1,1,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,6,8,0,0,0,1,2,0,0,0,0,1,1,0,0,2,3,4,2,2,2,2,7,9,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,2,3,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,18,16,16,12,17,37,30,28,25,26,22,8,8,7,3,7,11,11,17,12,12,6,26,24,23,15,24,48,41,45,37,38,28,1,2,3,3,4,6,5,6,7,4,3,2,0,5,0,0,1,3,3,1,2,5,3,2,8,3,4,7,8,9,8,6,8,2,2,0,3,3,2,2,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,3,3,3,2,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,2,1,0,0,0,0,0,0,1,0,2,2,1,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,1,1,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,2,1,1,0,0,2,3,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,1,1,2,3,1,1,1,1,0,0,1,2,1,2,2,2,3,2,0,0,1,1,1,1,0,1,1,2,0,0,1,1,1,1,2,2,3,3,5,2,0,1,2,2,2,3,4,4,1,2,5,4,2,10,6,3,3,1,1,1,1,1,1,3,2,0,0,0,5,5,2,3,6,5,5,12,6,3,3,0,1,3,1,1,2,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,2,3,1,1,2,0,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,6,6,5,6,3,3,0,2,0,1,1,0,0,0,0,0,0,0,2,0,2,2,6,6,5,6,3,3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,1,3,2,1,1,0,0,0,0,2,1,0,0,1,0,0,1,1,2,0,2,1,1,3,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,1,4,3,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,4,0,2,1,0,0,0,0,0,0,1,0,0,3,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,16,19,16,10,14,17,34,22,21,10,11,13,12,4,4,6,2,9,8,8,6,1,29,31,20,14,20,19,43,30,29,16,12,0,0,0,0,0,0,1,0,3,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,4,1,2,1,1,1,2,1,0,1,1,1,1,1,0,0,0,1,3,0,0,0,0,0,0,1,1,1,3,4,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,2,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,1,2,1,1,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,2,0,0,0,1,1,1,2,2,1,2,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,1,1,1,2,4,1,2,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,1,1,1,1,3,2,0,0,1,0,4,5,7,7,8,8,3,0,3,3,6,1,0,0,0,1,1,0,1,1,0,0,5,5,7,7,9,9,3,1,4,3,6,19,31,19,24,19,24,30,33,19,19,14,4,8,3,5,4,6,8,8,2,4,8,23,39,22,29,23,30,38,41,21,23,22,0,0,1,2,4,4,2,3,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,4,4,2,4,1,2,1,1,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,1,0,0,4,8,8,7,9,10,3,12,9,4,4,0,1,0,0,1,0,1,1,1,0,1,4,9,8,7,10,10,4,13,10,4,5,2,2,2,1,2,3,3,3,2,1,1,1,0,0,0,0,0,1,1,1,0,0,3,2,2,1,2,3,4,4,3,1,1,0,0,0,0,0,2,3,0,1,1,0,2,0,0,1,1,2,2,3,0,2,1,2,0,0,1,1,4,5,3,1,3,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,1,0,0,0,0,0,3,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3,2,4,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,4,2,4,0,2,0,1,0,5,6,3,2,1,0,3,2,3,0,1,0,0,0,0,1,1,0,0,0,1,1,5,6,3,2,2,1,3,2,3,1,2,34,43,40,32,30,33,22,25,22,25,18,9,9,11,11,9,12,9,6,10,6,9,43,52,51,43,39,45,31,31,32,31,27,1,1,0,0,0,2,0,2,2,2,2,0,3,3,3,4,4,0,1,1,1,3,1,4,3,3,4,6,0,3,3,3,5,1,1,4,5,4,6,0,2,1,1,2,0,0,0,0,1,1,1,1,3,3,5,1,1,4,5,5,7,1,3,4,4,7,1,2,1,2,0,1,1,3,3,2,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,1,1,3,3,2,1,1,0,2,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,1,1,0,1,4,3,4,5,12,12,19,18,18,20,20,2,3,5,2,4,6,2,1,0,3,1,6,6,9,7,16,18,21,19,18,23,21,12,10,9,13,21,15,18,15,11,11,10,11,9,5,9,6,7,6,5,7,6,4,23,19,14,22,27,22,24,20,18,17,14,54,62,60,57,58,66,76,75,69,74,81,70,86,78,73,68,69,73,62,55,65,72,124,148,138,130,126,135,149,137,124,139,153,28,32,49,49,59,56,56,53,56,58,62,23,27,29,19,21,35,31,32,43,42,42,51,59,78,68,80,91,87,85,99,100,104,7,4,5,7,8,8,10,4,4,2,2,6,12,7,11,3,9,7,13,5,5,10,13,16,12,18,11,17,17,17,9,7,12,3,1,3,2,1,2,2,4,4,2,3,1,2,1,0,0,1,0,2,1,3,1,4,3,4,2,1,3,2,6,5,5,4,6,3,5,5,0,8,0,2,2,4,2,3,6,1,4,0,4,2,2,2,2,1,9,9,6,9,0,12,2,4,4,6,3,25,22,24,27,19,27,20,17,24,25,26,17,16,12,9,10,8,13,10,14,15,8,42,38,36,36,29,35,33,27,38,40,34,29,35,34,17,21,18,14,17,22,25,36,8,8,10,9,15,8,3,12,12,10,14,37,43,44,26,36,26,17,29,34,35,50,688,833,848,748,765,816,849,917,974,993,973,1154,1158,1132,1155,1099,1113,1156,1214,1238,1320,1310,1842,1991,1980,1903,1864,1929,2005,2131,2212,2313,2283,8675,8692,9110,9132,9028,9114,9065,9073,9000,9232,9134,7841,7646,7737,7731,7618,7648,7750,7668,7832,7868,7860,16516,16338,16847,16863,16646,16762,16815,16741,16832,17100,16994,87,103,92,99,100,92,115,113,114,113,117,115,106,115,98,104,121,129,122,130,122,136,202,209,207,197,204,213,244,235,244,235,253,52,62,49,47,51,48,51,64,63,65,63,25,23,23,25,25,30,25,36,35,35,38,77,85,72,72,76,78,76,100,98,100,101,20,24,25,27,29,32,33,34,38,39,40,9,8,13,13,14,12,11,9,6,1,11,29,32,38,40,43,44,44,43,44,40,51,81,99,104,108,105,101,119,110,118,141,147,69,83,82,77,84,94,128,107,124,137,147,150,182,186,185,189,195,247,217,242,278,294,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,3,5,5,6,7,9,11,13,10,11,15,2,1,0,1,2,1,2,1,1,4,5,5,6,5,7,9,10,13,14,11,15,20,0,1,1,2,1,1,0,0,1,1,2,0,1,2,0,0,0,0,0,0,0,0,0,2,3,2,1,1,0,0,1,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,18,24,37,38,38,34,33,35,29,32,29,10,22,24,19,20,35,17,16,21,15,12,28,46,61,57,58,69,50,51,50,47,41,9,10,11,11,6,6,7,4,3,8,8,2,1,2,7,2,1,2,1,1,2,5,11,11,13,18,8,7,9,5,4,10,13,2,2,1,5,1,3,1,0,1,2,1,0,0,0,0,3,1,1,2,2,5,1,2,2,1,5,4,4,2,2,3,7,2,1,3,0,1,1,1,3,0,1,1,0,0,0,2,2,0,0,4,0,1,1,0,1,3,2,3,1,1,7,0,2,2,0,1,0,0,1,2,2,4,4,5,5,5,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,2,2,4,5,5,6,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,7,6,1,4,2,2,1,1,1,0,0,0,1,2,0,0,1,1,2,0,0,1,7,7,3,4,2,3,2,3,1,9,8,16,14,4,7,6,8,6,4,4,4,2,4,6,1,4,1,0,4,6,5,13,10,20,20,5,11,7,8,10,10,9,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,2,0,0,1,1,4,5,6,2,4,2,2,2,0,0,0,1,1,1,0,1,2,0,0,0,1,1,5,6,7,2,5,4,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,2,2,3,2,1,1,0,0,1,0,0,2,2,1,3,0,0,1,1,2,1,1,4,4,4,5,1,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,1,2,1,3,1,1,0,1,0,0,1,0,1,1,0,0,1,0,3,1,1,1,1,3,2,3,1,2,2,3,3,5,2,2,5,7,6,7,3,5,5,10,8,8,9,10,14,14,5,4,7,8,13,13,10,11,15,21,20,12,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,3,3,3,1,6,7,4,1,6,11,1,4,1,2,1,4,10,5,1,2,1,2,7,4,5,2,10,17,9,2,8,12,0,2,3,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3,3,2,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,2,3,0,1,1,0,0,1,0,0,0,0,1,2,2,1,0,0,1,1,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,1,1,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,0,1,0,0,2,0,1,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,2,1,1,7,8,9,5,4,23,10,2,2,1,0,1,2,1,2,1,6,2,1,0,2,1,8,10,10,7,5,29,12,3,2,3,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1,1,1,1,2,3,3,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,2,1,1,1,2,3,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,3,8,3,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,3,2,3,10,3,2,0,0,0,0,0,2,2,1,1,0,0,2,1,1,1,1,0,0,0,3,2,0,0,0,0,0,0,2,2,1,4,2,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,3,2,3,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,3,2,3,3,2,1,1,1,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,1,1,1,3,1,1,1,0,0,0,1,3,2,3,1,0,2,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,2,1,3,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,1,1,1,2,2,1,0,0,0,0,1,2,1,1,6,2,1,0,0,0,0,3,3,2,2,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,2,1,1,1,0,0,1,0,0,1,1,3,2,2,2,0,0,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,1,2,4,3,1,1,2,0,0,0,2,1,1,2,1,3,4,2,1,1,1,0,0,0,0,1,1,0,0,0,0,0,2,1,1,2,2,4,4,2,1,1,1,2,3,1,1,0,2,0,2,7,0,0,0,0,2,1,1,0,0,0,5,0,0,2,3,3,2,1,2,0,2,12,0,0,28,29,28,29,17,22,27,26,32,31,38,8,9,6,13,16,17,16,20,14,15,7,36,38,34,42,33,39,43,46,46,46,45,1,2,3,4,4,4,6,6,0,2,4,0,0,0,1,2,3,1,2,2,3,2,1,2,3,5,6,7,7,8,2,5,6,3,8,4,2,1,1,3,3,2,1,1,0,0,0,1,0,1,0,1,0,0,1,3,8,4,3,1,2,3,4,2,1,2,0,0,0,0,2,0,0,0,1,2,4,0,0,0,1,0,3,0,0,1,0,1,0,0,0,1,2,3,0,0,2,2,5,1,0,1,2,0,2,3,3,2,4,4,1,1,4,3,2,0,1,5,3,3,1,2,1,5,5,2,2,4,8,5,7,5,2,3,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,0,1,2,4,1,1,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,2,5,4,3,2,3,2,4,4,7,3,0,1,0,1,0,0,1,1,3,5,5,2,6,4,4,2,3,3,5,7,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,5,5,4,4,6,7,7,12,13,13,2,2,0,2,1,3,2,1,1,3,1,8,7,5,6,5,9,9,8,13,16,14,1,2,2,1,2,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,2,0,1,1,1,3,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,2,1,0,0,1,0,0,1,2,2,2,2,2,0,0,3,0,0,2,3,2,2,4,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,3,0,1,1,2,1,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,2,3,1,2,0,0,1,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,4,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,2,2,2,0,0,5,0,0,1,1,2,0,1,1,3,1,1,2,2,2,2,2,1,0,0,0,0,0,2,1,0,1,1,1,1,1,3,1,1,4,3,2,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,2,2,3,1,1,1,2,2,0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,2,3,1,1,1,3,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,2,0,0,0,0,0,0,0,0,0,2,2,1,1,1,1,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,5,3,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,2,2,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,4,2,1,1,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,5,4,4,5,5,3,0,0,0,1,0,0,1,0,0,0,2,3,3,4,5,4,5,5,4,5,5,5,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,2,3,1,0,2,1,0,0,2,2,0,2,3,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,3,3,0,1,1,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,2,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,3,2,2,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,1,3,5,6,7,8,5,5,3,0,0,2,2,0,1,2,1,2,0,0,4,1,3,5,5,7,9,9,7,5,3,0,0,0,0,0,0,0,0,2,3,3,0,0,0,0,1,1,1,0,1,2,1,0,0,0,0,1,1,1,0,3,5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,2,2,2,2,2,4,3,3,5,4,4,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,3,3,5,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,2,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,2,2,1,1,0,1,0,0,0,1,0,0,1,1,2,1,2,1,0,1,1,1,2,3,2,3,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,3,5,3,4,4,5,5,8,3,5,1,2,0,1,1,1,0,2,2,2,1,0,5,5,4,5,5,5,7,10,5,6,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,2,2,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,1,0,1,1,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,6,5,10,6,12,10,9,8,6,6,0,1,1,1,2,2,5,2,2,1,2,0,7,6,11,8,14,15,11,10,7,8,3,5,5,4,4,6,5,6,7,7,6,0,2,1,0,0,2,3,4,1,4,2,3,7,6,4,4,8,8,10,8,11,8,1,2,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,3,1,2,2,1,0,1,0,0,1,5,5,5,7,6,6,7,5,4,3,3,0,0,0,1,2,1,1,1,0,0,0,5,5,5,8,8,7,8,6,4,3,3,1,2,3,2,2,2,2,4,2,3,2,0,0,0,0,0,0,0,0,0,0,0,1,2,3,2,2,2,2,4,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,4,0,2,4,2,2,4,3,4,7,0,0,1,1,1,2,2,2,1,1,1,2,4,1,3,5,4,4,6,4,5,8,0,0,3,3,1,3,1,3,1,1,4,2,1,0,0,0,0,1,0,1,0,1,2,1,3,3,1,3,2,3,2,1,5,3,1,8,4,1,1,5,5,6,9,9,1,0,2,1,2,3,3,3,3,5,5,4,1,10,5,3,4,8,8,9,14,14,2,2,2,3,5,13,10,8,10,9,8,6,3,1,2,1,1,2,2,2,3,1,8,5,3,5,6,14,12,10,12,12,9,2,1,0,2,1,1,1,0,1,1,1,2,1,3,3,2,0,2,3,2,0,1,4,2,3,5,3,1,3,3,3,1,2,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,3,0,2,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,2,4,1,2,1,1,2,1,2,23,20,21,25,20,18,21,18,20,22,19,13,11,12,8,12,11,9,12,9,12,13,36,31,33,33,32,29,30,30,29,34,32,3,4,3,3,1,3,2,1,1,5,4,2,1,3,0,0,1,1,3,2,1,0,5,5,6,3,1,4,3,4,3,6,4,143,167,178,177,167,181,186,188,193,210,204,140,160,153,163,168,184,184,203,211,206,212,283,327,331,340,335,365,370,391,404,416,416,649,670,701,696,696,735,721,749,729,712,689,336,342,355,368,371,411,406,427,418,434,429,985,1012,1056,1064,1067,1146,1127,1176,1147,1146,1118,1236,1293,1260,1250,1230,1231,1210,1143,1155,1138,1107,1570,1505,1459,1437,1405,1396,1395,1391,1399,1398,1352,2806,2798,2719,2687,2635,2627,2605,2534,2554,2536,2459,234,253,276,275,272,284,279,305,301,312,302,187,171,211,211,203,187,197,207,199,205,202,421,424,487,486,475,471,476,512,500,517,504,40,41,50,55,60,61,54,60,77,70,68,25,25,29,28,26,29,28,30,38,34,41,65,66,79,83,86,90,82,90,115,104,109,15,16,12,16,16,18,14,17,24,33,26,12,13,6,7,11,11,16,18,31,47,48,27,29,18,23,27,29,30,35,55,80,74,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,4,3,1,3,2,3,3,2,2,2,4,4,1,0,1,0,0,0,0,0,0,10,8,4,1,4,2,3,3,2,2,2,0,0,1,1,1,1,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,6,1,7,6,4,6,12,3,10,4,6,2,4,1,3,1,2,1,1,5,3,3,8,5,8,9,5,8,13,4,15,7,9,0,0,1,3,1,1,0,2,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,2,3,1,1,1,2,2,2,2,0,0,1,2,1,0,0,3,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,3,3,5,0,0,0,2,2,2,3,5,2,2,2,2,0,0,0,0,0,0,3,0,0,0,0,0,0,2,2,2,3,8,2,2,2,2,0,0,0,2,0,0,0,2,2,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,2,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,2,1,2,3,1,1,0,1,2,0,1,0,2,1,3,3,1,1,0,4,4,4,1,0,0,0,0,1,0,0,0,0,0,1,2,1,3,3,2,1,0,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,1,0,1,2,0,0,0,1,1,1,1,1,2,1,0,1,1,0,1,1,0,1,1,0,2,2,1,1,0,2,2,1,2,2,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,5,6,0,1,1,0,0,0,0,0,1,0,0,1,2,3,2,0,0,0,0,1,5,6,0,2,2,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,3,3,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,3,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,0,2,1,0,0,0,0,1,0,0,0,0,3,1,0,0,1,0,1,1,2,2,3,2,2,3,4,6,4,4,6,3,0,1,0,1,2,1,1,1,2,1,0,2,4,2,3,5,5,7,5,6,7,3,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,7,2,1,1,2,3,3,3,1,4,4,0,0,0,1,0,0,1,1,0,0,0,7,2,1,2,2,3,4,4,1,4,4,1,3,3,3,3,1,0,2,1,1,0,0,0,0,0,2,1,0,1,0,1,0,1,3,3,3,5,2,0,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,1,0,1,0,1,0,0,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,2,2,0,0,3,0,0,0,1,0,1,3,3,0,0,0,1,0,0,1,1,2,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,4,3,6,1,2,4,1,0,0,0,0,0,1,0,0,0,1,4,1,0,0,0,4,4,6,1,2,5,0,0,0,3,4,2,1,0,0,4,1,0,0,1,0,1,0,0,0,1,0,2,0,0,1,3,5,2,1,0,1,4,3,0,0,1,5,3,2,2,3,1,3,3,0,1,0,0,0,1,0,2,3,0,2,0,1,1,5,3,3,2,5,4,3,5,31,32,29,37,29,33,55,66,55,56,53,18,11,9,11,14,26,25,31,20,27,33,49,43,38,48,43,59,80,97,75,83,86,3,4,2,3,3,3,2,3,2,2,0,0,1,1,1,1,0,0,1,2,0,2,3,5,3,4,4,3,2,4,4,2,2,0,1,1,1,1,0,0,2,2,1,0,2,0,0,0,0,0,0,4,3,3,0,2,1,1,1,1,0,0,6,5,4,0,0,0,1,0,0,3,2,2,2,5,3,0,0,1,1,1,0,0,0,0,1,0,0,0,2,1,1,3,2,2,2,6,3,1,1,0,3,4,3,3,4,10,7,9,3,2,2,2,1,1,2,2,2,1,1,4,3,2,5,5,4,5,6,12,8,10,2,1,1,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,2,3,1,2,2,1,2,0,1,0,0,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,10,9,5,2,6,7,7,1,1,0,0,0,1,1,0,2,1,1,0,0,0,0,10,10,6,2,8,8,8,1,1,0,0,0,0,1,1,0,0,3,2,6,13,13,1,0,2,1,1,0,1,2,4,4,1,1,0,3,2,1,0,4,4,10,17,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,2,1,1,0,0,0,0,0,2,1,1,3,2,1,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,2,1,12,18,16,13,30,27,23,22,21,21,19,3,4,5,3,4,4,2,1,4,4,3,15,22,21,16,34,31,25,23,25,25,22,4,1,0,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,2,1,0,6,2,0,0,0,0,1,0,2,1,2,0,0,20,21,14,11,11,4,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,21,22,14,11,11,4,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,1,0,1,0,0,6,5,5,5,0,3,4,3,5,2,4,7,6,6,6,1,5,5,3,6,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,4,0,0,0,0,0,0,1,3,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,1,0,2,1,0,0,4,4,4,2,3,3,0,0,0,0,0,0,1,2,3,2,2,0,2,1,0,0,4,5,6,5,5,5,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,3,3,3,2,1,1,0,0,0,0,5,3,3,4,4,5,6,0,0,0,0,12,6,6,7,6,6,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,4,1,0,0,12,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,4,2,0,0,13,1,0,0,0,1,3,2,1,0,0,2,1,1,2,2,1,0,0,0,0,0,0,0,0,0,0,2,3,2,1,0,0,2,1,1,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,2,2,4,3,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,2,2,4,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,2,0,1,1,2,2,0,0,1,0,2,3,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,1,1,0,0,1,5,1,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,1,1,0,0,2,6,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,5,2,2,2,2,2,4,2,0,0,0,1,0,0,0,0,2,0,0,2,2,2,6,2,2,2,2,4,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,2,2,1,2,5,4,3,8,4,1,2,0,4,2,0,3,1,3,2,0,4,4,2,6,3,2,8,5,6,10,4,0,0,0,0,0,0,1,0,4,3,1,0,0,0,0,0,0,1,0,1,3,0,0,0,0,0,0,0,2,0,5,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1,1,1,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,2,3,3,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,2,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,4,4,2,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,2,2,4,4,2,1,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,7,9,7,5,4,3,5,7,5,5,7,0,1,0,0,0,1,1,4,0,3,2,7,10,7,5,4,4,6,11,5,8,9,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,0,2,0,1,1,2,3,3,3,3,3,3,5,3,3,2,1,1,0,0,1,1,0,0,0,0,3,3,4,3,3,4,4,3,5,3,3,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,9,10,12,9,8,9,9,10,11,16,13,6,7,6,7,8,9,5,6,4,2,2,15,17,18,16,16,18,14,16,15,18,15,14,13,14,15,14,14,14,12,12,9,9,2,4,1,3,2,2,8,8,3,8,5,16,17,15,18,16,16,22,20,15,17,14,3,2,4,2,4,5,5,4,5,3,4,0,1,3,3,3,1,1,1,2,3,1,3,3,7,5,7,6,6,5,7,6,5,9,10,12,13,13,14,17,12,14,11,10,5,5,5,5,5,4,6,2,4,7,8,14,15,17,18,18,18,23,14,18,18,18,1,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,2,2,2,2,4,3,5,3,2,0,2,0,0,0,0,0,0,1,1,2,0,3,2,2,2,2,4,3,6,4,4,1,1,1,3,1,1,0,0,0,3,2,1,0,1,1,2,1,0,3,1,0,1,2,1,2,4,3,2,0,3,1,3,3,3,2,2,1,1,2,2,3,2,1,3,0,1,1,2,0,0,0,2,0,0,0,3,3,3,3,1,2,2,5,2,1,3,4,5,3,3,4,8,8,12,12,11,7,0,2,1,2,2,3,4,4,3,2,3,4,7,4,5,6,11,12,16,15,13,10,1,2,2,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,2,1,2,2,2,0,0,0,3,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,2,1,0,2,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,3,6,2,1,0,3,1,1,1,1,2,14,18,15,16,12,12,13,14,13,12,15,8,8,5,3,5,3,6,2,3,3,4,22,26,20,19,17,15,19,16,16,15,19,3,3,1,1,1,3,1,2,1,0,3,2,0,1,1,1,0,0,1,2,2,3,5,3,2,2,2,3,1,3,3,2,6,92,107,111,112,102,100,103,114,124,132,110,61,64,61,69,72,80,93,92,112,120,117,153,171,172,181,174,180,196,206,236,252,227,141,150,164,166,178,179,200,192,223,225,208,59,62,71,67,56,70,82,77,72,70,69,200,212,235,233,234,249,282,269,295,295,277,90,91,104,109,109,125,130,134,114,109,127,106,114,119,112,115,125,129,130,133,137,124,196,205,223,221,224,250,259,264,247,246,251,2731,2790,2779,2705,2670,2741,2598,2626,2589,2607,2586,2771,2639,2596,2581,2472,2496,2466,2526,2503,2485,2463,5502,5429,5375,5286,5142,5237,5064,5152,5092,5092,5049,235,230,241,258,246,219,205,206,223,232,236,165,155,163,143,157,139,136,143,165,165,175,400,385,404,401,403,358,341,349,388,397,411,7,8,6,5,7,13,10,9,10,10,9,3,4,2,4,2,2,4,6,7,4,7,10,12,8,9,9,15,14,15,17,14,16,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,26,23,29,30,33,36,34,36,41,25,21,8,9,10,12,14,17,19,21,23,25,25,34,32,39,42,47,53,53,57,64,50,46,0,1,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,29,13,8,9,13,13,40,14,10,14,12,7,9,8,11,2,5,9,0,2,3,3,36,22,16,20,15,18,49,14,12,17,15,15,22,24,23,19,15,14,14,14,14,13,3,4,3,3,3,4,4,3,3,2,3,18,26,27,26,22,19,18,17,17,16,16,1,2,2,2,0,1,2,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,2,0,1,2,2,1,1,1,0,0,1,0,2,1,3,1,1,1,2,0,0,0,0,0,1,4,0,0,0,0,0,0,1,0,2,2,7,1,1,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,3,3,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,0,1,1,3,3,4,4,3,2,2,2,1,3,3,4,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,4,5,3,2,0,2,1,0,1,1,0,0,0,1,1,0,1,1,0,0,4,1,4,5,4,3,0,3,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,2,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,3,2,2,1,2,1,1,1,1,0,0,2,1,0,2,0,2,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,2,0,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,3,2,0,0,1,1,2,1,0,0,2,0,0,0,0,1,1,0,1,0,5,6,3,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,9,9,7,2,2,2,3,2,2,0,0,0,0,0,0,0,0,0,1,0,2,4,9,9,7,2,2,2,3,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,4,6,7,8,0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,2,0,1,4,6,7,8,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,9,7,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,7,9,7,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,2,3,4,3,4,1,0,0,1,0,0,0,0,0,1,1,2,1,0,2,0,1,2,3,4,4,5,0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,1,1,1,1,0,0,2,0,1,0,2,1,2,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,3,1,2,1,1,3,5,9,9,10,10,8,9,9,5,8,1,0,1,0,0,1,2,0,0,0,1,4,5,10,9,10,11,10,9,9,5,9,2,2,2,1,1,2,1,3,4,5,2,2,3,2,1,2,2,1,1,1,2,3,4,5,4,2,3,4,2,4,5,7,5,0,1,2,2,1,2,3,6,7,10,7,1,2,3,1,1,0,0,1,1,2,2,1,3,5,3,2,2,3,7,8,12,9,0,1,1,1,3,0,2,1,4,5,6,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,2,1,5,5,6,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,2,5,5,3,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,2,3,6,6,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,2,3,2,0,2,3,5,2,0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,3,2,0,2,3,6,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,2,2,3,6,3,3,0,0,0,0,1,1,2,1,3,1,1,3,2,1,1,2,3,4,4,9,4,4,3,2,1,2,0,0,0,0,0,0,0,1,2,1,0,1,1,0,3,1,0,1,1,2,2,2,1,1,0,3,1,0,1,2,4,4,6,7,7,5,5,6,8,18,7,10,3,3,3,3,2,3,1,2,5,1,5,7,9,10,10,7,8,7,10,23,8,15,61,53,53,40,53,53,66,76,69,68,53,34,31,32,20,30,32,36,78,48,47,34,95,84,85,60,83,85,102,154,117,115,87,2,2,2,2,4,1,2,6,6,4,3,1,0,2,2,0,3,1,0,1,2,2,3,2,4,4,4,4,3,6,7,6,5,0,0,2,4,8,3,3,4,4,3,4,0,1,0,0,0,0,1,2,1,1,0,0,1,2,4,8,3,4,6,5,4,4,5,3,3,2,2,3,3,4,4,7,5,0,2,3,2,0,0,1,4,1,0,0,5,5,6,4,2,3,4,8,5,7,5,4,2,5,7,5,3,4,3,5,4,9,3,3,6,0,1,3,5,2,1,3,5,7,5,11,7,6,6,9,5,6,7,14,9,10,10,9,9,6,7,6,6,6,4,3,2,2,3,3,2,6,4,2,2,1,12,12,12,12,12,8,13,10,8,8,5,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,3,0,3,4,3,1,1,1,1,0,0,1,0,1,1,0,1,1,1,2,0,2,4,0,4,5,3,2,2,2,3,3,3,4,5,5,1,5,7,5,7,10,3,4,0,1,0,3,4,8,5,3,2,6,7,4,6,5,4,9,15,10,10,12,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,2,0,0,1,1,1,7,7,7,4,3,4,2,1,3,3,3,0,1,1,0,0,0,0,0,0,0,0,7,8,8,4,3,4,2,1,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,3,2,2,0,0,0,1,1,1,2,2,0,0,0,2,0,0,1,2,1,3,3,3,2,2,12,11,15,8,10,6,5,14,12,8,17,7,5,13,4,8,10,15,9,12,17,13,19,16,28,12,18,16,20,23,24,25,30,4,5,2,5,3,3,2,1,2,2,3,1,2,1,0,0,0,0,0,2,1,3,5,7,3,5,3,3,2,1,4,3,6,0,0,1,1,1,1,1,3,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,1,1,3,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,2,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,2,4,3,8,7,6,8,13,11,0,0,0,0,0,2,3,0,2,1,1,3,2,2,4,3,10,10,6,10,14,12,0,0,2,0,0,1,1,4,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,4,2,3,2,0,0,0,0,0,0,2,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,3,20,2,1,3,2,3,0,0,0,0,0,10,1,0,0,1,1,0,2,2,1,3,30,3,1,3,3,4,3,3,5,3,1,0,1,2,2,2,1,0,0,0,1,0,1,0,0,0,0,0,3,3,5,4,1,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,2,2,0,1,1,0,1,1,1,1,2,3,1,3,2,3,2,1,1,1,2,4,4,0,1,0,0,0,0,1,0,0,0,0,1,4,2,3,2,1,2,1,2,4,4,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,1,1,1,3,3,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,6,1,1,1,3,3,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,1,0,1,3,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,1,2,3,0,2,1,3,0,1,0,0,0,0,0,1,1,0,0,0,2,1,2,1,2,3,1,3,1,3,0,1,0,0,0,1,0,1,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,1,1,3,3,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,1,1,3,3,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,3,2,2,4,5,5,6,5,1,0,0,0,1,0,0,0,3,0,0,3,2,2,3,3,2,4,5,8,6,5,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,3,2,1,1,3,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,3,2,1,1,3,2,2,1,1,1,1,1,0,1,0,0,0,0,3,3,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,6,5,11,8,16,18,10,8,15,9,0,0,0,1,1,1,3,5,6,6,7,4,6,5,12,9,17,21,15,14,21,16,0,0,1,2,4,3,1,3,4,2,2,0,0,0,1,0,0,1,0,2,1,1,0,0,1,3,4,3,2,3,6,3,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,2,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,2,1,1,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,5,1,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,5,5,1,2,1,1,1,1,1,2,0,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,25,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,14,7,12,7,9,4,6,4,3,1,1,0,0,0,0,1,2,1,1,1,2,5,14,7,12,7,10,6,7,5,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,7,7,7,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,7,7,7,8,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,5,2,3,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,3,6,2,3,2,0,1,0,0,0,2,2,3,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,2,3,0,1,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,3,4,5,2,5,8,7,24,1,3,5,3,3,2,0,3,5,3,26,3,3,1,6,7,7,2,8,13,10,50,4,6,6,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,1,5,3,1,2,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,2,1,5,3,2,3,0,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,1,0,0,0,2,1,5,2,3,0,0,1,1,1,1,0,0,2,2,3,0,0,1,1,1,1,2,1,7,4,6,0,0,2,2,2,1,4,4,5,3,3,2,0,1,2,0,0,0,0,0,1,1,1,1,2,1,2,1,4,4,5,4,4,3,1,3,3,0,0,0,2,2,2,3,5,5,8,4,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,3,2,3,5,5,8,4,2,7,3,5,3,2,4,4,3,1,4,2,0,0,0,0,0,1,2,2,1,2,4,7,3,5,3,2,5,6,5,2,6,1,1,1,1,1,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,1,1,3,5,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,1,0,2,1,3,6,1,0,0,0,1,1,1,4,45,46,54,48,36,45,57,74,33,47,46,37,29,33,26,26,33,28,30,31,48,45,82,75,87,74,62,78,85,104,64,95,91,31,41,46,49,48,55,67,56,52,47,57,11,13,10,24,16,22,25,26,26,31,27,42,54,56,73,64,77,92,82,78,78,84,36,39,31,23,27,27,32,25,24,39,43,29,27,28,23,21,29,24,30,45,41,34,65,66,59,46,48,56,56,55,69,80,77,30,30,32,25,34,46,51,49,61,66,72,28,30,42,42,34,37,44,48,45,51,43,58,60,74,67,68,83,95,97,106,117,115,3,3,2,2,2,3,2,2,1,1,2,0,0,0,0,0,0,0,1,0,2,0,3,3,2,2,2,3,2,3,1,3,2,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,1,3,2,3,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,2,1,3,2,3,2,0,1,1,1,4,1,0,1,0,3,5,5,0,1,0,8,2,1,1,3,3,2,1,1,2,1,12,3,1,2,3,6,7,6,1,3,1,0,1,0,0,0,0,2,1,1,3,0,0,1,1,1,2,2,1,1,1,1,1,0,2,1,1,2,2,3,2,2,4,2,5,4,7,6,5,3,2,7,8,6,1,0,2,1,1,1,1,4,4,5,3,3,5,6,8,7,6,4,6,11,13,9,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,1,1,0,1,1,0,0,2,1,0,0,1,1,4,4,4,4,8,7,12,2,3,6,7,0,0,0,1,0,1,2,2,1,0,1,4,4,4,5,8,8,14,4,4,6,8,3,2,4,16,1,2,1,2,2,1,1,2,0,0,1,1,1,0,0,0,0,3,5,2,4,17,2,3,1,2,2,1,4,44,48,60,45,40,30,30,55,67,66,56,23,26,25,30,34,34,34,31,39,40,45,67,74,85,75,74,64,64,86,106,106,101,77,67,83,78,75,86,82,79,63,74,90,63,49,58,58,23,50,64,36,43,51,47,140,116,141,136,98,136,146,115,106,125,137,11,13,12,11,14,12,15,13,12,10,9,11,10,11,10,11,8,11,7,10,7,10,22,23,23,21,25,20,26,20,22,17,19,182,182,186,146,149,160,154,149,142,147,154,149,129,125,122,114,119,132,148,154,162,160,331,311,311,268,263,279,286,297,296,309,314,4443,4465,4581,4469,4456,4515,4297,4345,4425,4504,4478,4167,4064,4006,3958,3871,3849,3798,3779,3970,3996,3990,8610,8529,8587,8427,8327,8364,8095,8124,8395,8500,8468,5,4,6,2,3,4,8,4,5,4,3,2,0,0,0,2,2,3,3,3,3,2,7,4,6,2,5,6,11,7,8,7,5,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,14,12,13,22,21,12,11,12,9,8,8,1,2,6,4,5,3,2,2,2,3,2,15,14,19,26,26,15,13,14,11,11,10,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,2,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,0,0,1,0,1,1,1,2,1,0,13,18,17,15,19,28,25,16,17,24,16,4,6,10,9,18,12,10,7,8,11,6,17,24,27,24,37,40,35,23,25,35,22,7,8,18,14,11,8,6,7,11,15,13,7,6,7,12,7,11,8,5,6,3,4,14,14,25,26,18,19,14,12,17,18,17,1,1,2,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,1,2,1,3,1,1,1,2,1,1,1,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,1,2,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,2,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,2,0,0,1,1,1,0,0,0,3,2,0,0,0,1,0,1,0,0,1,0,3,2,0,0,2,1,2,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,45,0,1,1,1,0,0,0,1,0,0,5,0,0,0,0,0,0,0,1,0,1,50,0,1,1,1,1,0,0,0,0,0,0,0,2,1,2,0,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,2,2,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,0,0,0,0,0,0,0,0,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,2,1,1,1,2,1,0,0,0,1,0,2,1,1,1,0,0,2,1,2,2,0,4,2,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,5,7,3,0,0,0,0,2,3,0,0,4,4,0,0,0,0,0,1,1,2,1,9,11,3,0,0,0,0,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],"extension":{"px":{"infofile":"AM0207","tableid":"TAB334","decimals":0}}}}