Skip to content
Snippets Groups Projects
Normal view History Permalink
AM0207PendlKomA9303-21212.json 183 KiB
Newer Older
scb fetcher's avatar
Download data from provider  
scb fetcher committed
1 
{"dataset":{"dimension":{"Bostadskommun":{"label":"Municipality of residence","category":{"index":{"1765":0,"1766":1,"1780":2,"1781":3,"1782":4,"1783":5,"1784":6,"1785":7,"1814":8},"label":{"1765":"Årjäng","1766":"Sunne","1780":"Karlstad","1781":"Kristinehamn","1782":"Filipstad","1783":"Hagfors","1784":"Arvika","1785":"Säffle","1814":"Lekeberg"}}},"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":"2022-01-10T19:33:00Z","value":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,2,0,0,4,2,3,4,2,2,2,2,2,3,3,0,0,0,0,0,0,0,0,0,0,0,4,2,3,4,2,2,2,2,2,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,3,0,1,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,6,1,3,0,1,2,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,2,2,2,2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,2,2,2,5,5,3,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,1,2,2,2,5,5,4,11,6,6,6,5,7,9,9,7,6,4,1,2,1,0,8,4,2,4,5,5,7,12,8,7,6,13,11,11,13,12,11,11,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,2,1,1,1,1,2,2,1,1,2,0,0,0,0,1,0,0,0,0,1,0,1,2,1,1,2,1,2,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,5,1,0,0,0,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,3,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,3,0,0,1,1,2,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,6,5,1,2,8,0,0,8,9,9,0,0,2,0,0,0,0,0,0,0,0,6,6,7,1,2,8,0,0,8,9,9,0,2,1,1,0,6,1,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,3,1,1,0,8,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,4,3,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,1,0,0,2,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,2,1,2,3,1,2,4,2,1,1,1,0,0,0,0,0,0,0,1,1,1,1,2,1,2,3,1,2,4,3,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,2,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,28,28,27,22,22,27,26,20,20,24,21,8,11,10,15,17,22,22,15,13,16,14,36,39,37,37,39,49,48,35,33,40,35,2,4,3,7,4,2,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,2,4,3,7,4,2,1,1,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,5,5,4,6,5,5,7,4,5,0,0,0,0,0,0,0,0,0,0,0,0,4,5,5,4,6,5,5,7,4,5,11,17,14,16,16,10,18,15,15,9,11,7,3,3,4,2,4,2,5,4,2,4,18,20,17,20,18,14,20,20,19,11,15,1,0,0,0,0,1,1,2,1,1,3,0,0,0,0,0,0,2,2,3,2,1,1,0,0,0,0,1,3,4,4,3,4,1,2,5,4,2,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,4,2,1,1,1,1,2,0,0,0,0,1,3,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,3,2,0,0,0,2,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,1,2,0,0,0,0,0,1,0,0,2,5,4,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,3,3,0,0,3,5,5,1,1,2,1,3,4,1,3,1,2,2,4,6,4,1,1,2,2,2,1,1,1,3,3,6,5,1,1,3,5,2,3,3,7,9,10,6,2,3,1,0,0,1,0,2,0,1,1,1,1,1,1,3,1,2,0,1,1,1,0,0,2,1,3,2,2,2,1,2,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,1,1,1,1,1,1,3,1,1,1,0,1,2,0,0,0,0,0,0,0,0,2,2,3,1,1,1,1,3,1,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,9,6,5,7,7,9,13,10,11,10,8,1,1,1,2,1,3,4,2,3,2,3,10,7,6,9,8,12,17,12,14,12,11,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,0,1,1,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,3,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,1,2,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,4,1,4,3,2,4,2,2,2,1,0,0,0,0,0,1,1,0,0,0,0,2,4,1,4,3,3,5,2,2,2,1,9,15,14,13,8,16,15,22,18,17,17,8,8,8,9,8,10,11,17,9,9,8,17,23,22,22,16,26,26,39,27,26,25,1,1,0,1,2,1,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,1,2,1,1,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,3,0,1,2,1,1,1,0,2,1,2,1,0,0,0,0,0,0,1,0,0,0,4,0,1,2,1,1,1,1,2,1,2,0,0,0,0,0,0,0,0,0,3,0,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,3,5,2,2,2,1,2,2,1,1,1,1,1,1,1,2,1,2,4,1,1,1,4,6,3,3,1,2,2,6,9,5,0,1,1,2,2,1,1,2,1,0,0,0,1,1,1,2,2,3,4,7,9,5,0,2,2,3,4,1572,1595,1733,1663,1747,1725,1695,1742,1668,1653,1618,1737,1716,1755,1781,1788,1818,1783,1809,1818,1832,1795,3309,3311,3488,3444,3535,3543,3478,3551,3486,3485,3413,13,1,2,3,2,3,0,1,0,8,0,0,1,0,0,0,2,1,0,0,1,1,13,2,2,3,2,5,1,1,0,9,1,82,87,58,78,74,65,61,62,55,74,73,15,19,19,17,20,17,22,22,26,33,38,97,106,77,95,94,82,83,84,81,107,111,2,5,3,3,4,5,5,9,5,4,2,1,3,0,3,0,0,1,1,2,0,0,3,8,3,6,4,5,6,10,7,4,2,3,5,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,4,5,2,1,1,1,2,2,0,1,0,1,1,2,0,1,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,2,2,47,56,62,46,45,55,46,57,65,46,48,29,31,29,32,42,27,25,33,39,33,38,76,87,91,78,87,82,71,90,104,79,86,52,62,58,50,36,36,34,28,24,15,20,10,18,16,12,7,16,16,17,21,8,9,62,80,74,62,43,52,50,45,45,23,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,3,2,3,4,2,2,3,2,1,0,0,0,0,1,0,0,0,1,5,4,1,0,3,2,4,4,2,2,4,7,5,1,2,2,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,2,1,1,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,4,7,3,2,5,3,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,3,5,7,3,4,5,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,2,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,3,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,4,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,4,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,2,3,0,0,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,3,4,1,1,0,0,1,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,1,2,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,3,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,3,1,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,1,0,1,1,1,0,1,0,1,0,17,20,14,17,13,15,13,11,12,20,18,7,5,7,7,5,6,9,19,14,13,13,24,25,21,24,18,21,22,30,26,33,31,2,1,0,1,0,1,1,0,0,0,2,1,0,1,0,0,0,0,0,1,1,1,3,1,1,1,0,1,1,0,1,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,2,1,1,0,1,0,2,2,10,2,4,2,1,3,2,3,2,0,0,0,0,0,0,0,1,0,2,2,2,2,10,2,4,2,1,4,2,5,4,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,2,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,2,1,0,0,1,2,3,0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,2,2,1,1,2,3,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,8,2,3,3,4,5,5,5,2,0,1,0,1,1,2,3,3,4,2,5,3,5,8,3,4,5,7,8,9,7,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,1,2,0,1,1,0,0,0,0,0,0,1,0,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,2,0,1,2,2,0,0,1,0,0,0,0,0,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,4,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,3,2,1,1,1,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,1,1,3,2,2,1,1,1,1,3,1,0,2,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,8,2,2,2,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0,0,10,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,2,2,2,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,2,2,4,3,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,3,3,0,2,2,4,9,23,1,0,1,1,1,1,1,0,1,1,4,1,1,1,2,1,0,1,2,5,10,27,2,1,2,3,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,5,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,1,0,0,5,0,0,2,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,5,5,2,8,7,1,2,7,4,0,0,0,0,0,0,0,0,0,1,0,3,6,5,5,2,8,7,1,2,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,0,4,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,5,2,8,5,6,10,8,10,13,13,4,5,6,4,4,2,1,7,4,6,6,9,10,8,12,9,8,11,15,14,19,19,0,0,1,0,2,1,0,0,1,2,1,0,1,0,0,1,0,0,2,1,1,1,0,1,1,0,3,1,0,2,2,3,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,1,0,1,3,2,3,3,3,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,3,2,3,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,2,1,1,2,2,1,1,1,0,0,0,0,0,4,0,0,0,2,3,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,4,0,0,0,3,7,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,2,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,2,1,1,0,1,2,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,3,1,3,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,3,1,3,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,34,36,38,39,44,38,38,45,40,43,37,17,14,15,17,10,9,10,17,18,11,10,51,50,53,56,54,47,48,62,58,54,47,3,2,2,2,0,1,1,3,6,5,7,1,0,0,1,1,1,0,2,2,3,3,4,2,2,3,1,2,1,5,8,8,10,167,167,183,181,171,184,177,173,192,195,174,245,247,243,254,237,257,254,256,270,256,271,412,414,426,435,408,441,431,429,462,451,445,3,0,0,0,1,1,1,0,0,3,2,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,2,2,2,1,1,4,3,5,4,5,4,4,5,7,5,4,7,7,1,3,3,3,3,1,1,1,2,0,1,6,7,8,7,7,6,8,6,6,7,8,42,44,57,60,54,55,49,47,55,51,48,22,17,17,14,14,18,18,21,29,23,19,64,61,74,74,68,73,67,68,84,74,67,6,9,14,16,8,15,21,13,17,14,19,6,9,11,9,8,7,4,5,10,10,10,12,18,25,25,16,22,25,18,27,24,29,9,10,8,9,6,5,5,8,5,7,7,4,4,2,4,2,2,3,2,2,1,1,13,14,10,13,8,7,8,10,7,8,8,1,0,6,6,10,7,3,2,2,4,7,0,0,2,1,2,3,1,1,1,1,2,1,0,8,7,12,10,4,3,3,5,9,2248,2286,2401,2253,2303,2250,2237,2250,2211,2214,2220,2223,2218,2253,2170,2140,2112,2136,2166,2170,2189,2122,4471,4504,4654,4423,4443,4362,4373,4416,4381,4403,4342,185,227,181,207,243,228,209,221,222,241,252,74,72,74,80,71,86,86,86,92,105,119,259,299,255,287,314,314,295,307,314,346,371,0,1,5,5,2,1,9,14,5,2,4,0,0,3,8,1,1,3,4,4,0,1,0,1,8,13,3,2,12,18,9,2,5,0,0,1,1,0,0,0,2,2,1,2,2,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,2,2,1,2,39,53,34,37,33,35,40,35,32,23,26,14,17,7,8,3,9,12,12,10,10,13,53,70,41,45,36,44,52,47,42,33,39,32,36,40,34,48,46,48,56,43,51,50,8,10,16,17,19,12,20,22,16,23,21,40,46,56,51,67,58,68,78,59,74,71,4,5,4,5,7,6,6,8,4,2,3,1,1,1,0,0,0,0,0,0,0,0,5,6,5,5,7,6,6,8,4,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,6,6,5,3,4,6,5,4,9,10,0,1,1,4,1,1,1,2,6,6,6,3,7,7,9,4,5,7,7,10,15,16,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,2,2,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,2,1,2,3,5,5,5,5,4,2,1,1,2,1,2,1,0,0,0,0,0,2,3,3,3,5,6,5,5,5,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,1,3,1,1,2,0,1,1,0,0,0,1,0,0,1,1,0,2,4,2,0,0,2,3,1,2,3,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,1,1,2,1,0,1,1,1,1,2,2,0,0,0,0,1,2,1,0,1,0,1,1,0,0,0,0,0,2,1,2,2,3,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,3,3,2,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,2,3,3,2,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,2,0,3,0,0,0,0,1,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,3,3,3,5,0,0,0,1,0,0,1,1,0,0,2,0,1,1,3,1,1,2,4,3,3,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,2,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,1,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,2,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,2,3,4,5,3,7,7,4,6,0,2,3,2,1,1,1,1,1,3,5,2,4,5,5,5,6,4,8,8,7,11,0,0,0,1,1,0,2,2,0,1,0,1,2,2,1,0,0,0,1,0,0,1,1,2,2,2,1,0,2,3,0,1,1,0,0,2,1,0,0,1,4,2,2,3,1,0,1,0,1,3,3,1,1,2,3,1,0,3,1,1,3,4,5,3,4,6,0,1,0,0,0,0,1,2,1,3,2,1,0,0,3,0,0,0,2,3,2,2,1,1,0,3,0,0,1,4,4,5,4,3,3,6,8,3,7,2,8,3,4,6,0,0,2,3,1,1,1,2,1,2,1,3,3,8,11,4,8,3,10,4,6,7,3,4,2,1,0,1,2,3,4,0,0,0,1,3,2,1,2,0,0,0,0,1,3,5,5,3,1,3,2,3,4,0,1,2,6,7,6,6,5,2,7,6,3,4,2,4,2,3,3,6,5,6,9,5,2,4,10,9,9,9,11,7,13,15,8,6,1,5,8,6,7,3,4,6,10,8,6,1,0,0,0,0,1,1,2,1,1,2,2,5,8,6,7,4,5,8,11,9,8,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,6,3,7,9,8,4,6,6,8,8,6,1,0,1,3,2,2,2,3,3,2,2,7,3,8,12,10,6,8,9,11,10,8,0,1,2,0,4,2,5,3,5,2,2,0,0,0,0,0,0,1,1,0,0,2,0,1,2,0,4,2,6,4,5,2,4,3,1,1,2,2,3,3,2,3,2,2,0,0,0,1,0,0,0,0,2,1,0,3,1,1,3,2,3,3,2,5,3,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,9,13,6,11,9,9,16,11,9,12,10,0,2,1,1,2,6,6,11,8,4,2,9,15,7,12,11,15,22,22,17,16,12,5,2,5,7,2,2,4,6,7,11,9,6,2,5,5,2,2,3,3,1,7,4,11,4,10,12,4,4,7,9,8,18,13,8,5,5,3,6,5,4,8,9,10,7,3,4,1,2,1,1,2,3,1,4,2,11,9,6,5,7,6,6,11,10,14,9,135,137,150,170,181,258,241,276,286,222,241,90,79,88,89,101,202,146,185,256,132,132,225,216,238,259,282,460,387,461,542,354,373,4,4,6,7,6,5,7,8,7,4,6,5,1,3,1,2,3,7,1,2,3,4,9,5,9,8,8,8,14,9,9,7,10,6,4,5,9,6,9,8,14,14,7,15,2,0,2,3,3,6,5,7,8,4,1,8,4,7,12,9,15,13,21,22,11,16,4,3,3,3,9,3,5,8,13,13,8,3,0,1,3,1,2,2,5,3,5,3,7,3,4,6,10,5,7,13,16,18,11,27,28,26,26,33,19,27,34,27,40,34,6,8,6,8,12,9,10,16,17,18,17,33,36,32,34,45,28,37,50,44,58,51,6,10,13,9,9,13,10,9,9,3,5,1,2,2,2,1,3,4,5,5,7,5,7,12,15,11,10,16,14,14,14,10,10,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,3,2,0,0,4,0,0,0,0,0,1,1,0,4,0,1,0,0,1,1,1,1,4,2,4,0,5,8,6,8,5,5,7,8,11,18,12,15,5,7,6,5,5,7,5,5,6,9,7,13,13,14,10,10,14,13,16,24,21,22,0,1,0,0,0,1,0,2,2,3,3,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,2,2,3,4,1,1,1,1,1,5,0,2,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,2,2,1,1,5,1,3,1,1,1,0,0,0,0,0,1,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,1,1,1,11,9,10,15,13,22,16,15,12,14,13,6,7,8,11,6,10,12,14,10,13,9,17,16,18,26,19,32,28,29,22,27,22,11,7,8,12,5,6,12,10,12,11,11,0,0,0,0,0,1,3,0,0,0,0,11,7,8,12,5,7,15,10,12,11,11,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,2,0,3,6,6,4,3,4,3,3,2,2,4,0,0,0,0,0,1,0,0,0,0,0,3,6,6,4,3,5,3,3,2,2,4,1,2,2,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,1,1,0,0,0,1,0,3,2,3,2,1,3,2,6,6,7,8,1,0,1,0,1,2,3,1,3,5,4,4,2,4,2,2,5,5,7,9,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,4,1,0,0,0,1,2,10,2,0,1,11,0,0,0,0,1,2,3,1,0,1,15,1,0,0,0,2,4,13,3,2,1,1,2,1,3,1,3,3,2,2,0,0,1,1,1,0,1,1,1,1,1,2,1,2,3,2,3,2,4,4,3,3,12,3,5,5,6,7,9,8,7,7,10,5,5,3,4,2,6,5,4,5,3,7,17,8,8,9,8,13,14,12,12,10,17,7,5,3,3,1,0,14,15,24,8,15,1,3,2,1,2,1,2,2,18,0,1,8,8,5,4,3,1,16,17,42,8,16,0,0,0,0,0,1,0,1,2,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,2,0,2,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,1,1,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,2,1,0,0,1,2,2,0,2,1,2,3,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,3,1,0,0,1,1,0,6,10,7,13,6,17,11,13,11,11,8,7,1,3,7,5,10,7,6,18,10,3,13,11,10,20,11,27,18,19,29,21,11,21,16,7,7,10,6,6,11,10,8,10,8,5,6,2,6,5,5,6,7,5,7,29,21,13,9,16,11,11,17,17,13,17,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,5,13,13,7,8,5,7,8,7,7,4,0,1,1,0,1,1,2,3,3,6,4,5,14,14,7,9,6,9,11,10,13,8,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,3,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,3,1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,2,1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,1,1,2,1,2,2,1,0,0,1,0,1,1,3,3,2,2,0,1,1,0,2,0,1,2,2,2,3,0,0,1,0,0,0,1,1,0,0,0,0,1,2,0,2,0,2,3,2,2,3,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,8,15,10,11,10,33,11,10,12,10,9,4,7,2,2,3,11,2,6,10,4,3,12,22,12,13,13,44,13,16,22,14,12,1,1,3,0,2,0,1,1,2,1,2,1,0,0,0,0,0,0,1,0,0,0,2,1,3,0,2,0,1,2,2,1,2,1,0,1,4,0,0,1,1,0,0,1,0,1,1,3,1,2,0,1,0,2,0,1,1,2,7,1,2,1,2,0,2,1,0,0,0,1,1,2,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,2,1,3,0,0,1,2,2,3,5,3,4,1,1,3,2,1,1,0,1,1,1,0,1,0,0,0,0,2,0,4,6,4,4,2,1,3,2,1,3,0,1,2,1,0,1,2,4,2,0,3,1,2,1,1,0,0,0,1,1,1,0,0,3,3,2,0,1,2,5,3,1,3,1,0,1,1,0,0,1,0,1,3,0,0,1,1,1,1,0,2,0,0,2,1,1,1,2,2,1,0,3,0,1,5,1,1,1,0,0,0,2,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,2,1,1,1,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,2,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,2,0,0,1,0,0,2,2,0,1,1,2,0,0,2,1,1,2,2,1,2,1,1,2,2,3,3,1,3,3,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,2,3,3,1,3,3,5,5,6,5,6,3,4,7,6,5,5,1,3,2,1,0,0,2,2,2,2,1,6,8,8,6,6,3,6,9,8,7,6,0,1,3,2,1,1,0,3,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,4,3,2,2,0,4,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,2,1,1,2,1,1,3,1,2,1,0,0,0,0,0,0,0,0,3,0,0,0,2,1,1,2,1,1,3,4,2,1,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,3,2,3,3,2,2,1,1,0,2,1,3,3,2,1,2,2,2,1,0,4,1,6,5,5,4,4,2,1,1,1,0,0,0,3,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,1,1,0,0,1,3,1,0,2,2,3,3,2,5,5,5,5,3,7,1,2,1,1,2,0,0,0,1,1,2,0,4,4,4,4,5,5,5,6,4,9,1,0,0,0,2,2,1,0,3,0,1,1,1,1,0,0,0,0,0,4,2,0,0,1,1,0,2,2,1,0,7,2,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,2,0,1,0,1,1,0,0,1,1,2,0,0,1,1,2,1,0,1,1,2,3,2,2,2,2,2,2,3,4,1,6,4,5,3,1,2,1,2,2,5,2,1,3,1,5,3,4,3,4,5,9,3,7,7,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,3,2,2,1,0,0,4,7,5,4,0,1,0,3,0,0,0,1,1,0,0,2,4,2,5,1,0,0,5,8,5,4,0,0,1,1,0,0,1,1,1,0,1,0,0,1,2,1,0,0,0,1,0,0,0,0,2,3,1,0,1,1,2,0,1,1,1,1,1,0,2,2,3,4,2,2,0,1,0,0,0,1,0,1,0,1,1,1,2,1,1,0,3,2,4,4,3,3,2,0,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,2,1,1,2,1,1,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,2,3,1,1,1,1,2,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,2,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,7,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,1,1,1,1,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,2,1,2,4,0,4,2,0,1,0,0,1,1,1,2,1,4,3,1,2,0,0,3,2,3,6,1,20,24,22,24,22,26,24,23,29,37,25,7,6,8,6,6,6,8,12,17,17,11,27,30,30,30,28,32,32,35,46,54,36,3,6,8,5,3,6,4,5,5,5,4,4,6,8,6,7,8,8,7,7,7,4,7,12,16,11,10,14,12,12,12,12,8,2,0,0,1,0,0,0,2,3,3,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,3,3,2,7,5,5,7,6,5,4,12,13,22,18,4,3,4,3,3,2,2,4,4,3,9,11,8,9,10,9,7,6,16,17,25,27,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,2,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,4,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,3,4,0,2,0,2,2,4,3,3,4,6,3,0,1,0,1,1,1,1,1,1,2,1,0,3,0,3,3,5,4,4,5,8,4,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,2,0,1,0,1,0,1,0,1,1,1,5,2,0,1,1,1,4,4,6,8,5,2,0,0,3,3,0,2,3,3,3,4,7,2,0,4,4,1,6,7,9,11,9,0,3,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,3,1,0,1,1,1,0,2,2,0,1,0,0,0,1,0,1,1,3,1,2,1,1,2,0,0,0,0,0,0,0,0,2,1,2,0,1,0,1,1,3,1,2,2,2,3,2,2,1,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,2,3,3,2,1,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,5,8,3,6,5,1,5,6,2,4,1,3,2,2,2,0,1,4,4,5,6,5,8,10,5,8,5,2,9,10,7,10,1,1,1,1,1,2,1,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,2,1,1,1,1,2,1,0,1,2,0,0,2,0,3,1,0,0,1,0,0,1,1,0,3,2,1,1,1,1,1,2,1,1,2,3,5,2,1,2,2,2,3,1,2,5,7,6,8,9,0,1,2,2,1,0,1,1,5,5,5,2,3,4,5,2,2,6,8,11,13,14,0,1,4,3,1,1,2,2,5,2,0,1,0,2,0,1,2,2,2,2,3,3,1,1,6,3,2,3,4,4,7,5,3,4,4,1,1,2,3,5,7,4,4,3,1,0,0,2,1,1,0,2,2,3,1,5,4,1,3,3,4,5,9,6,7,4,4,3,4,4,6,6,9,5,3,5,8,0,0,1,1,0,2,1,1,2,1,1,4,3,5,5,6,8,10,6,5,6,9,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,5,4,3,2,5,5,9,5,5,4,0,0,0,0,0,1,0,0,0,0,3,2,5,4,3,2,6,5,9,5,5,7,1,3,1,2,0,0,1,1,0,0,1,0,0,0,2,0,1,0,1,0,2,1,1,3,1,4,0,1,1,2,0,2,2,1,0,2,1,0,0,0,2,2,2,2,0,0,0,0,1,0,0,1,1,1,0,1,0,2,1,1,0,0,3,3,3,2,1,2,1,1,2,1,1,1,0,1,4,0,1,0,1,1,2,1,5,4,0,5,1,3,1,2,3,3,2,6,4,1,9,3,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,2,2,1,1,1,1,3,1,1,2,1,2,2,1,2,2,2,3,0,3,1,2,2,2,1,1,3,2,3,3,2,3,2,2,3,5,3,7,6,6,3,5,4,4,4,5,6,4,10,8,0,1,0,1,2,3,3,5,5,2,2,2,1,0,1,0,0,2,1,0,2,0,2,2,0,2,2,3,5,6,5,4,2,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,2,2,0,0,0,0,1,0,0,0,1,2,3,2,0,1,0,1,1,1,3,3,3,2,1,1,1,0,0,1,1,1,1,0,0,2,1,2,0,1,2,2,4,4,3,2,3,1,0,0,2,3,1,1,3,2,5,5,0,0,1,2,3,4,2,3,2,1,2,1,0,1,4,6,5,3,6,4,6,7,0,0,0,1,1,1,2,1,0,2,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,2,2,1,2,2,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,2,2,2,1,2,0,0,0,0,1,0,0,0,0,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,3,1,0,0,1,4,0,0,0,1,0,0,0,2,1,1,1,1,1,0,0,1,1,0,2,0,0,5,1,1,0,1,1,1,0,4,1,1,3,3,2,4,7,6,4,3,4,4,1,3,2,2,1,3,1,0,0,4,3,2,6,5,4,5,10,7,4,3,8,7,3,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,0,1,2,1,0,0,0,1,0,4,8,7,4,6,7,9,4,7,5,6,2,1,3,2,4,8,6,8,12,10,6,6,9,10,6,10,15,15,12,19,15,12,2,1,2,2,4,2,5,2,5,4,4,0,1,5,5,4,4,3,2,2,1,7,2,2,7,7,8,6,8,4,7,5,11,0,0,0,1,0,0,3,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,3,3,0,0,2,6,3,4,0,0,1,4,4,5,5,6,0,0,0,0,0,1,1,0,0,1,2,6,3,4,0,0,2,5,4,5,6,8,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,3,1,0,1,1,3,2,2,2,4,4,8,3,0,0,1,1,1,1,3,2,1,2,1,0,1,2,4,3,3,5,6,5,10,4,9,4,2,1,1,2,4,5,4,4,4,5,1,3,4,1,1,1,1,5,5,9,14,5,5,5,2,3,5,6,9,9,13,1,0,1,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,3,1,0,1,1,2,0,0,0,1,1,5,1,2,1,3,1,2,1,2,0,2,3,1,3,4,0,1,0,1,0,1,0,0,2,5,5,3,2,2,2,2,1,2,3,123,106,82,91,99,122,196,152,142,139,113,46,45,57,40,55,70,66,72,81,85,71,169,151,139,131,154,192,262,224,223,224,184,19,16,18,14,16,20,16,20,15,16,18,6,4,5,8,10,6,5,7,6,9,5,25,20,23,22,26,26,21,27,21,25,23,2,2,0,2,0,9,8,10,7,7,8,2,2,1,2,2,3,0,1,1,2,2,4,4,1,4,2,12,8,11,8,9,10,2,2,2,1,0,1,0,3,2,3,3,2,1,1,2,3,3,5,1,2,1,1,4,3,3,3,3,4,5,4,4,4,4,4,5,16,10,8,10,11,9,6,8,9,3,6,10,8,7,5,6,2,6,13,10,7,11,26,18,15,15,17,11,12,21,19,2,4,2,2,3,4,6,6,6,5,7,4,0,1,4,3,4,5,4,11,5,12,6,4,3,6,6,8,11,10,17,10,19,6,14,7,10,3,10,7,6,6,4,7,5,3,6,5,2,7,9,4,3,5,6,11,17,13,15,5,17,16,10,9,9,13,6,9,11,10,5,15,16,22,13,17,18,5,7,5,12,4,8,6,12,14,8,13,11,16,16,22,9,23,22,34,27,25,31,0,1,1,3,2,2,1,3,2,3,6,1,0,2,2,1,5,0,1,6,3,4,1,1,3,5,3,7,1,4,8,6,10,8,8,10,5,3,6,7,13,12,13,6,5,6,5,6,3,4,4,6,11,11,5,13,14,15,11,6,10,11,19,23,24,11,3,0,1,1,0,1,0,1,0,0,1,1,0,1,1,1,1,2,1,0,1,0,4,0,2,2,1,2,2,2,0,1,1,11,11,18,14,16,21,22,20,20,22,22,5,11,10,11,8,5,4,10,14,15,18,16,22,28,25,24,26,26,30,34,37,40,4,11,9,8,3,4,7,7,10,10,11,3,3,4,7,2,2,4,3,4,5,5,7,14,13,15,5,6,11,10,14,15,16,3,5,6,8,3,5,5,7,8,15,6,2,5,4,2,2,2,5,1,2,1,1,5,10,10,10,5,7,10,8,10,16,7,4,6,5,3,2,1,4,6,5,4,4,5,2,2,5,3,3,5,4,10,5,5,9,8,7,8,5,4,9,10,15,9,9,8,7,8,10,13,12,12,14,14,12,13,3,3,6,8,3,4,4,5,4,5,4,11,10,14,18,16,16,16,19,18,17,17,0,0,1,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,2,0,0,1,0,0,3,1,1,0,1,2,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,2,1,4,3,3,0,3,1,2,6,4,0,4,5,3,5,1,2,3,2,6,3,5,5,9,6,8,1,5,4,4,12,7,5,253,238,252,271,218,246,227,248,245,253,250,121,140,154,159,160,180,166,167,176,178,185,374,378,406,430,378,426,393,415,421,431,435,4,6,5,7,6,3,6,5,18,9,6,0,2,5,5,5,4,4,2,4,8,9,4,8,10,12,11,7,10,7,22,17,15,36,33,40,35,27,33,26,29,24,38,23,13,18,17,24,21,21,23,14,18,25,22,49,51,57,59,48,54,49,43,42,63,45,12,12,9,17,14,15,19,22,21,18,20,6,8,11,10,12,18,18,18,20,25,20,18,20,20,27,26,33,37,40,41,43,40,550,601,628,618,603,637,601,616,638,653,681,456,489,458,441,450,498,434,460,511,551,572,1006,1090,1086,1059,1053,1135,1035,1076,1149,1204,1253,22,26,22,24,25,27,31,27,42,37,37,18,19,19,19,19,17,17,16,22,19,23,40,45,41,43,44,44,48,43,64,56,60,197,196,225,217,222,227,218,204,211,196,233,198,212,211,205,223,233,216,206,209,229,220,395,408,436,422,445,460,434,410,420,425,453,270,268,276,297,289,294,283,286,285,307,313,171,186,185,170,154,188,190,182,186,188,192,441,454,461,467,443,482,473,468,471,495,505,9,8,14,16,28,16,21,25,19,23,25,10,11,8,9,24,13,16,22,21,16,17,19,19,22,25,52,29,37,47,40,39,42,34,50,45,49,60,56,58,65,64,77,76,25,23,29,31,40,45,48,46,54,59,74,59,73,74,80,100,101,106,111,118,136,150,14457,14613,14858,14716,14636,14929,14812,15043,14944,15030,14966,15609,15426,15347,15090,14691,14713,15013,15189,15336,15466,15404,30066,30039,30205,29806,29327,29642,29825,30232,30280,30496,30370,253,268,357,396,410,393,388,389,376,433,439,146,157,171,180,193,199,227,221,215,241,252,399,425,528,576,603,592,615,610,591,674,691,86,81,76,82,71,80,82,74,76,82,87,46,54,53,66,50,66,50,45,63,63,62,132,135,129,148,121,146,132,119,139,145,149,31,23,26,23,19,19,23,31,28,37,35,16,16,11,13,16,18,13,16,27,30,26,47,39,37,36,35,37,36,47,55,67,61,41,37,57,41,34,42,47,66,75,74,90,31,34,40,37,33,31,35,30,36,38,31,72,71,97,78,67,73,82,96,111,112,121,52,68,88,87,85,94,80,82,96,105,112,31,35,42,56,54,62,53,48,58,64,61,83,103,130,143,139,156,133,130,154,169,173,0,1,1,2,1,1,1,1,2,0,1,0,0,1,1,2,0,0,0,0,1,0,0,1,2,3,3,1,1,1,2,1,1,0,0,1,0,1,1,0,0,1,3,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,2,1,0,0,2,3,0,3,2,6,13,6,6,18,4,2,4,6,3,3,2,2,0,0,4,2,0,0,1,6,5,8,15,6,6,22,6,2,4,7,5,12,5,3,10,16,16,16,14,9,11,4,6,7,5,10,6,6,6,4,6,4,9,18,12,8,20,22,22,22,18,15,15,4,6,4,6,2,4,6,5,3,5,4,2,3,2,4,0,3,2,2,3,4,2,6,9,6,10,2,7,8,7,6,9,6,1,1,1,1,0,0,1,0,2,2,2,0,0,3,0,1,1,0,0,0,0,0,1,1,4,1,1,1,1,0,2,2,2,59,46,42,66,66,70,90,92,87,91,103,29,13,21,52,21,27,25,25,48,41,42,88,59,63,118,87,97,115,117,135,132,145,5,3,0,5,3,5,6,5,2,3,2,3,1,1,2,0,0,3,4,1,1,7,8,4,1,7,3,5,9,9,3,4,9,0,0,0,0,2,0,0,0,1,1,0,0,0,3,1,1,0,0,2,2,1,0,0,0,3,1,3,0,0,2,3,2,0,61,88,98,87,75,85,91,95,100,114,133,10,17,21,19,26,24,35,34,43,53,50,71,105,119,106,101,109,126,129,143,167,183,0,1,3,4,6,9,2,10,2,3,5,0,0,1,0,0,1,0,0,2,3,0,0,1,4,4,6,10,2,10,4,6,5,2,3,2,2,3,1,6,3,2,4,4,2,2,0,3,1,1,2,0,0,0,0,4,5,2,5,4,2,8,3,2,4,4,0,0,1,0,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,1,2,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,2,2,3,0,0,0,0,2,1,0,0,2,2,3,1,1,1,1,2,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,1,0,2,0,1,2,2,2,1,0,0,1,0,2,0,2,1,1,1,1,2,2,2,3,2,0,0,0,1,0,0,0,1,1,1,1,0,2,1,2,1,1,2,3,3,4,3,0,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,1,0,20,23,18,19,20,29,16,23,23,16,14,7,10,9,12,10,52,11,9,11,7,7,27,33,27,31,30,81,27,32,34,23,21,3,2,3,1,0,1,0,2,3,1,1,0,1,1,1,1,0,1,0,0,1,0,3,3,4,2,1,1,1,2,3,2,1,2,2,1,3,2,2,1,1,3,7,7,2,1,0,2,0,0,0,2,0,1,2,4,3,1,5,2,2,1,3,3,8,9,0,0,1,1,1,1,1,4,3,3,3,1,0,1,1,0,1,2,3,1,2,1,1,0,2,2,1,2,3,7,4,5,4,1,1,0,1,1,2,0,3,1,0,1,1,1,0,0,1,1,0,1,1,3,0,2,2,0,1,2,3,0,4,2,3,1,1,0,2,1,3,3,1,3,2,2,2,0,0,0,0,1,1,0,3,3,2,2,1,0,2,1,4,4,1,6,5,4,4,8,2,6,4,7,8,10,2,4,7,7,4,9,5,6,9,7,2,2,5,4,7,12,11,11,10,16,15,12,4,9,11,14,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,2,1,1,3,2,2,0,0,1,0,1,0,1,2,1,2,4,1,2,0,1,3,2,2,3,4,4,6,1,2,1,0,1,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,3,1,0,2,1,1,1,2,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,4,0,1,1,0,0,0,0,0,0,0,2,3,5,2,0,1,0,1,0,0,0,1,1,3,0,0,0,3,1,0,0,0,3,4,8,2,0,1,3,2,0,0,7,5,1,3,3,4,4,4,3,4,2,0,0,1,0,1,1,2,3,0,1,1,7,5,2,3,4,5,6,7,3,5,3,3,4,3,3,3,2,3,1,2,2,3,2,2,0,1,2,1,3,0,1,2,1,5,6,3,4,5,3,6,1,3,4,4,9,8,10,10,13,9,23,9,16,13,11,8,5,4,1,6,6,21,7,5,8,7,17,13,14,11,19,15,44,16,21,21,18,2,2,3,3,3,3,6,4,10,16,13,5,4,2,2,3,4,8,4,8,3,3,7,6,5,5,6,7,14,8,18,19,16,0,0,3,3,3,2,1,1,1,0,0,0,0,1,2,2,1,1,0,0,0,0,0,0,4,5,5,3,2,1,1,0,0,0,1,4,0,0,0,3,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,4,1,0,0,3,1,0,1,1,4,6,4,1,6,4,6,12,4,5,5,1,1,3,2,2,1,0,2,2,0,0,5,7,7,3,8,5,6,14,6,5,5,3,5,10,8,3,5,9,4,6,5,5,3,1,9,4,0,4,3,2,3,2,6,6,6,19,12,3,9,12,6,9,7,11,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,2,1,2,1,1,0,1,1,0,0,0,1,2,1,1,1,1,2,1,1,2,2,3,3,3,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,3,0,1,1,0,0,0,0,0,1,9,8,11,6,8,11,8,12,17,16,13,3,3,6,3,1,3,3,2,3,5,0,12,11,17,9,9,14,11,14,20,21,13,0,0,0,1,2,3,1,3,1,1,11,0,0,1,0,0,0,1,3,0,5,1,0,0,1,1,2,3,2,6,1,6,12,2,2,1,1,2,2,2,3,3,9,10,2,4,2,3,1,1,0,0,0,0,0,4,6,3,4,3,3,2,3,3,9,10,0,2,1,1,0,1,0,3,1,0,1,1,0,0,0,0,2,0,0,0,0,1,1,2,1,1,0,3,0,3,1,0,2,3,3,4,1,2,0,0,0,3,8,2,3,1,0,1,0,1,1,1,2,0,4,6,4,4,2,2,1,1,1,5,8,6,0,0,1,1,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,2,1,2,0,0,1,0,0,2,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,3,3,2,3,4,3,1,1,1,2,0,1,1,2,1,0,1,1,1,1,2,1,4,4,4,4,4,4,7,4,6,11,2,1,9,9,9,5,2,0,3,1,6,0,6,3,2,1,4,0,7,7,7,17,2,7,12,11,10,9,2,0,1,1,1,1,1,1,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,2,1,1,3,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,4,0,1,0,0,0,2,0,2,0,0,5,2,0,1,1,1,1,0,3,2,1,0,0,2,0,0,1,1,0,2,2,1,5,2,2,1,1,2,2,0,5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,1,0,0,0,0,1,1,0,2,1,0,1,1,0,1,1,0,0,5,2,0,0,0,2,1,1,0,0,1,1,0,1,0,0,0,2,1,1,0,1,6,2,1,0,0,2,3,2,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,3,1,1,0,0,0,0,2,1,1,2,1,1,1,1,1,0,0,0,1,0,2,2,1,3,0,2,0,0,2,2,1,4,3,2,4,1,3,4,4,6,1,2,3,5,4,9,5,4,1,1,3,0,5,2,2,3,6,4,3,5,5,9,1,7,5,7,7,15,9,7,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,2,2,4,3,1,2,5,4,4,4,1,3,4,3,1,2,2,1,5,3,12,7,5,6,7,4,3,4,6,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,2,4,0,0,0,1,0,0,5,0,3,1,3,0,0,2,3,2,0,2,1,5,3,7,0,0,2,4,2,0,7,0,0,0,0,1,1,3,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,3,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,6,10,6,4,7,5,3,3,3,0,0,1,2,1,0,2,0,3,2,0,3,3,7,12,7,4,9,5,6,5,3,3,3,1,1,0,0,0,0,0,1,0,1,1,2,2,0,0,0,0,0,0,0,2,0,3,3,0,0,0,0,0,1,0,3,1,0,0,0,1,1,1,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,2,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,4,0,0,0,0,2,0,0,1,0,2,1,0,0,1,1,3,0,1,1,2,3,5,0,0,1,1,5,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,1,1,1,0,2,0,0,0,0,0,0,1,0,1,1,2,0,1,2,1,0,0,2,1,2,1,1,1,1,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,1,3,1,0,0,1,1,3,1,0,1,0,2,2,3,3,0,1,1,0,0,0,0,0,1,0,1,1,0,2,1,0,1,0,2,3,3,4,1,1,3,0,0,0,0,0,0,0,1,1,1,4,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,3,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,3,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,6,1,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,2,0,1,2,1,12,1,1,2,1,2,2,2,2,2,2,2,4,0,0,1,0,0,0,1,0,0,0,0,1,2,2,2,2,2,3,2,2,2,4,0,0,0,3,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,3,0,0,1,1,1,2,2,33,26,37,33,38,52,48,53,43,48,55,18,13,9,10,13,27,24,27,27,19,27,51,39,46,43,51,79,72,80,70,67,82,3,2,2,3,3,3,2,2,2,5,2,2,0,0,1,0,0,1,2,2,0,0,5,2,2,4,3,3,3,4,4,5,2,0,6,1,2,2,3,1,0,3,4,2,0,0,0,0,1,1,0,1,1,0,0,0,6,1,2,3,4,1,1,4,4,2,0,0,0,0,0,0,1,1,5,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,2,3,2,1,3,4,6,5,7,8,8,7,1,2,2,3,1,2,3,2,1,1,3,4,4,3,6,5,8,8,9,9,9,10,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,1,1,1,1,1,3,2,0,0,1,0,0,0,0,0,0,2,2,2,0,2,1,1,1,1,1,1,5,4,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,4,3,2,2,2,3,4,6,5,5,4,1,1,0,0,1,1,1,1,3,1,1,5,4,2,2,3,4,5,7,8,6,5,14,3,0,37,18,16,4,5,3,4,2,5,1,0,3,3,2,0,0,0,0,0,19,4,0,40,21,18,4,5,3,4,2,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,1,1,1,1,0,0,0,0,1,1,0,0,2,0,0,2,2,2,2,3,3,2,1,3,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,2,0,2,1,2,0,1,2,1,1,1,4,1,7,5,1,1,57,65,80,4,8,0,0,1,1,1,1,9,11,33,5,2,4,1,8,6,2,2,66,76,113,9,10,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,1,1,5,4,3,2,1,0,0,0,1,0,2,2,4,2,2,3,2,1,1,1,1,3,7,8,5,2,1,3,2,2,1,2,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,2,1,3,3,2,1,2,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,2,2,2,0,2,3,5,1,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,2,2,0,2,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,3,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,0,3,0,1,1,2,0,0,1,0,1,0,0,0,0,0,1,1,0,3,1,2,0,3,0,1,1,3,1,0,1,0,1,0,1,1,1,3,4,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,3,4,5,0,0,0,0,1,1,4,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,4,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,2,1,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,4,0,0,0,0,0,1,2,0,1,0,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,4,2,4,4,4,4,4,4,5,5,0,0,0,0,0,1,1,0,1,1,1,2,4,2,4,4,5,5,4,5,6,6,1,1,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,1,1,3,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,2,0,0,0,0,0,2,4,3,2,3,1,1,1,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,5,3,2,3,1,0,0,2,2,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,0,3,3,2,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,1,1,2,2,2,1,1,1,1,0,2,2,0,5,5,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,6,6,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,1,2,2,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,2,0,0,0,0,1,2,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,5,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,2,2,2,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,2,2,2,0,0,1,1,2,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,1,2,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,4,1,0,0,0,0,0,0,0,0,3,4,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,3,0,0,3,0,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,0,1,4,0,0,6,0,0,0,0,0,1,2,2,2,2,1,2,1,2,2,1,1,0,0,0,0,0,0,0,0,1,1,0,2,2,2,2,1,2,1,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,2,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,2,36,31,35,32,31,33,26,28,30,35,38,32,25,40,35,33,29,27,31,33,42,36,68,56,75,67,64,62,53,59,63,77,74,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,5,6,0,0,1,0,0,0,0,0,0,6,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,3,2,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,1,0,3,2,2,2,23,16,27,15,11,20,28,20,34,39,29,15,14,9,12,1,5,14,11,10,8,9,38,30,36,27,12,25,42,31,44,47,38,5,3,1,2,3,2,0,3,2,4,1,1,0,0,0,0,0,1,0,1,0,0,6,3,1,2,3,2,1,3,3,4,1,0,0,0,0,2,1,1,0,0,1,2,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,3,2,2,1,1,2,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,1,1,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,1,3,2,1,1,1,0,0,0,1,0,2,5,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,1,0,0,0,0,0,0,0,0,1,4,5,0,0,0,1,1,0,1,1,9,1,1,1,0,0,0,0,0,1,0,2,0,6,1,0,0,1,1,0,2,1,11,1,1,0,0,0,1,7,6,1,2,4,3,2,1,1,1,1,0,1,0,0,0,0,3,1,1,1,2,7,7,1,2,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,2,1,1,1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,1,1,3,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,8,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,8,0,0,0,1,0,0,1,1,1,3,2,3,2,2,4,5,4,5,7,5,0,1,1,0,0,1,1,1,0,0,1,3,3,4,2,2,5,6,5,5,7,6,1,3,3,2,2,0,2,2,2,2,2,0,0,0,0,0,0,1,0,1,1,1,1,3,3,2,2,0,3,2,3,3,3,0,1,0,2,2,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,2,2,2,1,2,1,1,3,1,0,4,4,4,4,2,3,4,2,2,1,1,1,3,2,0,1,4,2,3,2,2,1,5,7,6,4,3,7,6,5,4,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,5,6,9,12,2,7,9,10,4,2,4,1,1,0,0,0,0,1,5,0,2,1,6,7,9,12,2,7,10,15,4,4,5,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,5,5,6,2,2,1,3,2,3,1,1,1,0,1,3,0,0,1,1,1,1,3,6,5,7,5,2,1,4,3,4,2,45,46,48,36,34,42,36,44,49,60,63,64,62,69,66,56,65,61,67,72,66,62,109,108,117,102,90,107,97,111,121,126,125,3,6,7,6,8,9,8,7,7,8,5,3,5,5,8,9,9,8,4,3,4,7,6,11,12,14,17,18,16,11,10,12,12,1,1,1,0,4,0,0,0,0,0,0,5,0,0,0,1,2,1,2,1,1,1,6,1,1,0,5,2,1,2,1,1,1,3,3,3,3,4,10,10,4,9,7,7,0,0,0,0,0,0,0,0,2,0,1,3,3,3,3,4,10,10,4,11,7,8,0,0,1,1,2,1,3,3,2,4,4,0,0,0,0,0,1,0,0,0,2,1,0,0,1,1,2,2,3,3,2,6,5,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,2,6,0,0,0,0,0,0,0,0,0,2,8,1,0,0,0,0,1,0,2,0,3,0,1,1,1,2,0,3,4,3,3,1,3,2,1,2,3,0,4,4,5,3,4,3,3,2,3,5,0,326,435,458,406,460,444,458,419,452,530,520,244,275,319,239,253,295,293,292,431,393,420,570,710,777,645,713,739,751,711,883,923,940,4456,4560,4586,4517,4493,4514,4234,4274,4108,4160,4106,4287,4450,4359,4273,4068,4065,4056,3977,3757,3790,3686,8743,9010,8945,8790,8561,8579,8290,8251,7865,7950,7792,29,33,36,22,38,33,31,18,21,32,28,9,9,8,8,9,10,9,11,12,15,23,38,42,44,30,47,43,40,29,33,47,51,7,7,8,4,0,3,2,3,3,3,4,1,0,0,0,1,2,2,1,2,0,0,8,7,8,4,1,5,4,4,5,3,4,0,0,0,1,1,3,3,1,4,6,4,1,2,2,1,3,0,3,1,3,4,2,1,2,2,2,4,3,6,2,7,10,6,0,0,0,0,0,0,3,6,4,3,1,1,4,4,5,2,0,0,0,2,0,1,1,4,4,5,2,0,3,6,6,3,2,0,4,4,5,3,4,3,5,7,6,4,0,0,0,0,0,0,0,0,0,0,0,0,4,4,5,3,4,3,5,7,6,4,5,4,5,6,7,9,10,7,6,6,7,2,2,2,2,3,4,3,1,0,0,0,7,6,7,8,10,13,13,8,6,6,7,4,4,4,2,5,4,5,4,3,3,2,0,0,0,0,0,0,0,1,0,0,0,4,4,4,2,5,4,5,5,3,3,2,57,71,89,106,106,111,127,149,94,90,84,64,63,79,86,91,107,102,107,80,65,62,121,134,168,192,197,218,229,256,174,155,146,1,2,1,1,2,4,4,3,3,3,2,1,0,0,0,0,1,1,1,2,1,4,2,2,1,1,2,5,5,4,5,4,6,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,26,30,29,30,36,43,46,47,46,49,42,8,11,6,16,11,12,23,16,18,19,12,34,41,35,46,47,55,69,63,64,68,54,1,5,0,1,3,2,3,2,2,2,2,0,0,0,0,1,0,0,0,0,0,2,1,5,0,1,4,2,3,2,2,2,4,0,2,2,0,2,1,2,2,3,2,2,1,0,0,1,0,0,0,0,0,0,0,1,2,2,1,2,1,2,2,3,2,2,160,189,184,173,178,220,239,260,264,263,271,98,102,112,112,125,173,174,211,293,289,291,258,291,296,285,303,393,413,471,557,552,562,0,0,2,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,1,1,0,1,1,1,0,0,2,2,3,2,4,1,2,0,0,2,2,1,0,1,2,1,1,3,1,1,2,2,3,2,4,4,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,4,1,1,0,4,8,4,5,2,3,2,4,4,6,8,0,0,1,0,0,5,0,0,0,1,2,4,8,5,5,2,8,2,4,4,7,10,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,6,0,1,2,1,0,1,1,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,1,1,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,4,4,3,3,2,0,0,1,1,1,1,0,2,1,1,1,0,1,2,1,1,3,4,6,4,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,28,28,29,26,27,2,1,0,1,1,3,3,4,2,3,1,0,0,1,0,1,32,31,32,31,29,28,2,1,1,1,8,7,1,6,5,5,5,4,4,5,5,0,0,0,0,0,0,1,1,1,0,0,8,7,1,6,5,5,6,5,5,5,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,3,2,2,2,2,1,1,2,1,0,1,0,0,1,3,3,2,1,2,2,1,1,3,2,3,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,3,0,1,1,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,3,2,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,3,2,3,0,1,0,1,1,0,2,1,2,0,0,0,0,1,2,0,0,0,1,1,1,0,0,0,0,1,1,0,2,2,3,1,0,0,0,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,5,0,0,2,1,3,2,1,1,0,0,0,0,0,0,0,0,3,2,2,2,2,5,0,0,2,1,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,1,1,3,3,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,3,0,1,1,2,2,1,0,1,1,0,2,0,2,1,2,1,1,0,1,2,1,5,0,3,2,4,3,2,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,6,1,2,0,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,0,1,1,2,2,0,0,2,1,0,0,0,0,1,0,0,2,2,4,2,0,0,0,1,2,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,4,1,0,0,0,1,1,2,1,1,1,1,3,2,1,1,0,1,0,0,0,0,1,0,0,1,2,1,2,2,1,1,1,2,3,2,2,3,8,11,16,11,16,18,32,21,21,11,16,5,6,5,4,8,17,9,5,5,9,6,13,17,21,15,24,35,41,26,26,20,22,0,2,4,3,3,5,5,7,8,7,5,0,0,0,1,0,1,0,0,0,0,0,0,2,4,4,3,6,5,7,8,7,5,0,0,0,1,1,1,2,1,1,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,1,3,1,2,2,2,1,0,0,0,0,0,0,0,2,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,2,0,0,0,5,5,3,1,6,7,0,2,2,1,1,1,1,1,0,0,0,0,0,0,1,0,6,6,4,1,6,7,0,2,2,2,1,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,1,1,1,1,1,2,1,0,0,0,1,2,1,1,1,2,4,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,2,1,1,0,0,0,0,1,2,3,2,3,1,2,1,0,1,0,0,0,0,2,1,1,1,1,0,1,0,1,2,3,4,4,2,3,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,1,1,1,3,1,0,0,0,0,1,0,0,0,1,4,2,0,1,1,0,1,1,1,1,16,16,16,12,6,5,0,0,1,0,1,8,8,7,7,4,4,0,0,0,0,0,24,24,23,19,10,9,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,1,1,2,1,1,1,1,0,0,0,1,2,1,4,0,6,7,5,5,17,17,16,0,0,1,0,2,2,1,1,8,7,8,0,0,5,0,8,9,6,6,25,24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,1,1,0,0,0,0,0,2,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,2,1,2,3,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,3,1,2,7,0,0,0,0,0,0,0,0,0,0,8,1,0,1,1,2,0,0,3,1,2,0,0,0,0,1,2,2,1,2,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,2,3,3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,1,1,1,0,2,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,2,2,2,2,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,3,2,2,2,2,2,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,1,0,1,2,2,2,3,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,3,2,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,4,3,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,3,0,2,4,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,3,0,2,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,3,2,0,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,8,5,6,7,6,17,17,9,6,7,5,2,1,2,0,0,1,0,6,7,7,12,10,6,8,7,6,18,17,15,13,14,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,1,0,4,0,3,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0,6,0,3,0,2,0,2,1,2,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,2,0,0,0,0,0,2,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,2,2,0,0,1,0,0,0,0,1,1,3,0,2,2,0,0,0,0,0,1,0,0,2,2,1,1,0,0,0,0,2,1,3,2,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,5,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,5,3,0,0,1,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,2,0,1,1,1,1,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,0,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,7,1,0,0,0,0,0,0,0,0,0,7,1,0,1,0,0,0,0,0,0,1,3,5,3,2,2,5,3,3,3,2,1,0,0,0,0,0,0,1,0,0,0,0,3,5,3,2,2,5,4,3,3,2,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,1,3,2,3,0,2,3,1,4,6,6,0,1,0,0,3,0,2,0,2,1,0,1,4,2,3,3,2,5,1,6,7,6,36,38,39,39,41,43,46,38,36,42,41,30,30,28,32,30,30,30,25,30,30,37,66,68,67,71,71,73,76,63,66,72,78,0,1,1,2,1,7,8,8,0,0,1,1,0,1,2,1,2,1,1,1,1,1,1,1,2,4,2,9,9,9,1,1,2,4,4,2,3,0,1,0,0,3,2,6,0,0,1,1,0,0,0,0,0,1,2,4,4,3,4,0,1,0,0,3,3,8,2,1,4,11,14,21,20,14,8,7,8,1,2,3,2,0,0,1,1,0,1,2,3,3,7,13,14,21,21,15,8,8,10,4,2,1,3,2,8,3,1,3,1,1,2,0,0,0,0,0,0,0,0,0,0,6,2,1,3,2,8,3,1,3,1,1,0,0,0,0,0,2,0,0,1,0,1,0,2,1,1,1,0,0,0,0,0,0,0,2,1,1,1,2,0,0,1,0,1,1,0,2,1,0,0,3,8,4,7,6,1,2,1,1,1,0,0,0,0,1,0,2,2,3,2,1,0,3,8,4,8,6,115,121,114,128,114,131,103,117,111,135,122,37,33,46,45,29,51,34,44,51,64,63,152,154,160,173,143,182,137,161,162,199,185,38,34,33,40,38,39,45,45,50,73,70,27,31,16,19,22,16,30,23,22,22,29,65,65,49,59,60,55,75,68,72,95,99,2126,2208,2306,2061,2052,1996,1928,1960,1939,1981,1900,2270,2224,2170,2048,2013,1992,1951,1979,1990,1960,1905,4396,4432,4476,4109,4065,3988,3879,3939,3929,3941,3805,8,7,9,4,9,7,9,12,8,9,11,4,3,5,3,7,5,6,3,6,6,4,12,10,14,7,16,12,15,15,14,15,15,0,0,0,2,3,7,1,3,3,0,2,0,0,1,0,0,2,1,1,1,0,1,0,0,1,2,3,9,2,4,4,0,3,1,0,0,0,3,3,5,1,0,0,0,0,2,0,0,1,1,3,0,0,1,0,1,2,0,0,4,4,8,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,3,4,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,3,5,2,0,1,46,46,49,48,45,55,55,53,54,60,51,20,28,28,26,24,28,28,29,33,33,28,66,74,77,74,69,83,83,82,87,93,79,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,3,6,4,2,3,7,8,8,7,8,6,2,1,6,14,2,1,3,3,1,4,6,5,7,10,16,5,8,11,11,8,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,0,0,0,2,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,21,20,18,20,20,28,28,22,25,24,19,12,11,12,8,10,11,10,12,18,24,17,33,31,30,28,30,39,38,34,43,48,36,4,0,0,2,1,2,4,4,7,6,5,0,0,0,0,0,2,3,1,8,8,7,4,0,0,2,1,4,7,5,15,14,12,1,3,1,0,0,0,2,0,2,2,2,1,1,1,1,1,1,1,1,1,0,0,2,4,2,1,1,1,3,1,3,2,2,3,3,2,2,2,2,2,1,1,2,3,0,0,0,0,0,0,0,0,0,0,1,3,3,2,2,2,2,2,1,1,2,4,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,1,0,0,1,2,0,1,1,0,1,5,0,0,1,1,1,0,1,1,1,3,9,1,0,1,2,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,3,2,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,3,3,2,2,1,0,0,0,0,1,1,1,1,1,1,1,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,1,1,0,0,0,0,0,0,0,1,1,3,3,1,1,0,0,0,1,1,4,4,4,4,1,1,0,1,1,1,2,3,2,0,0,2,1,0,2,0,0,1,0,0,0,0,0,1,0,3,1,1,3,3,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,35,31,30,24,20,22,19,20,0,0,0,0,0,0,1,0,0,0,0,0,0,0,35,31,30,25,20,22,19,20,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,2,2,1,0,1,2,1,1,0,1,0,2,2,2,3,1,1,0,1,1,1,3,3,3,0,1,0,0,2,1,0,0,0,1,2,2,4,1,1,2,2,1,1,3,4,5,4,4,5,6,6,2,0,0,1,0,1,1,1,2,0,0,0,1,0,1,2,1,5,5,7,6,6,2,1,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,9,8,8,7,6,8,6,4,2,3,3,6,6,6,5,3,4,7,6,12,11,6,15,14,14,12,9,12,13,10,14,14,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,2,0,0,0,1,0,0,0,1,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,3,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,2,3,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,3,0,5,2,1,1,1,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,3,0,5,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,3,2,5,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,4,3,5,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,3,0,0,20,8,10,13,6,6,6,10,6,3,4,12,6,4,8,8,9,11,7,12,7,7,32,14,14,21,14,15,17,17,18,10,11,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,2,2,2,1,3,0,1,1,2,1,1,1,0,0,0,0,0,1,1,0,0,0,1,2,2,1,3,0,2,2,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,2,0,0,4,5,5,4,0,1,0,0,0,1,0,2,1,1,1,0,3,2,0,2,1,0,6,6,6,5,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,2,1,1,3,2,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,2,1,2,1,1,3,2,2,0,3,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,2,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,3,0,0,1,0,0,0,1,0,0,2,3,0,0,2,0,0,0,2,0,0,0,2,4,6,6,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,4,6,6,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,1,2,1,1,3,4,2,0,0,2,1,2,3,1,1,3,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,2,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,2,2,2,0,0,2,0,0,3,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,4,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,2,2,2,2,3,3,2,1,0,0,0,1,0,0,0,0,1,0,0,2,3,3,3,2,2,2,3,4,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,2,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,3,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,3,0,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,4,0,0,3,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,6,9,6,8,11,7,8,13,9,7,5,4,8,2,1,3,2,4,1,2,5,3,10,17,8,9,14,9,12,14,11,12,8,1,1,2,1,1,1,1,2,1,3,2,0,0,0,0,0,0,1,0,0,2,0,1,1,2,1,1,1,2,2,1,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,3,2,0,0,0,1,0,0,1,1,0,0,0,0,3,5,6,9,3,2,2,0,1,0,0,0,0,0,2,1,3,0,0,1,0,0,3,5,6,11,4,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,2,3,2,1,0,0,0,0,0,1,2,2,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,5,1,1,0,0,1,0,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,6,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,4,1,5,1,1,5,2,2,4,4,2,1,1,3,2,2,2,2,2,3,3,3,5,2,8,3,3,7,4,4,7,7,4,2,3,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,5,2,4,2,2,0,0,0,1,1,0,49,107,105,100,102,96,91,90,90,79,51,78,95,105,100,105,105,100,88,87,82,86,127,202,210,200,207,201,191,178,177,161,137,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,2,1,1,1,2,2,1,0,0,1,0,0,1,2,2,1,0,3,5,6,7,4,0,0,0,1,1,1,1,2,0,3,2,0,1,2,3,2,1,4,7,6,10,6,150,180,188,187,160,179,167,157,170,177,176,121,122,136,117,106,118,107,101,114,114,126,271,302,324,304,266,297,274,258,284,291,302,5,3,4,1,4,9,9,6,5,6,6,2,1,2,2,3,2,1,1,2,3,3,7,4,6,3,7,11,10,7,7,9,9,1,1,1,3,1,0,2,3,3,4,4,0,3,0,1,0,0,0,2,0,0,0,1,4,1,4,1,0,2,5,3,4,4,0,0,1,0,0,1,0,1,1,2,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,2,1,2,1,2,1,11,13,21,23,31,30,28,37,32,34,25,16,18,13,14,22,27,26,22,22,24,25,27,31,34,37,53,57,54,59,54,58,50,111,127,121,154,111,131,126,130,136,159,169,78,62,67,48,48,53,57,49,48,66,64,189,189,188,202,159,184,183,179,184,225,233,3,3,5,7,6,3,5,8,8,5,6,1,2,1,1,3,4,2,2,2,1,2,4,5,6,8,9,7,7,10,10,6,8,15,20,18,18,18,21,26,28,23,21,23,18,23,18,15,14,13,9,13,15,13,17,33,43,36,33,32,34,35,41,38,34,40,2678,2703,2786,2637,2554,2567,2435,2432,2372,2392,2352,2657,2608,2516,2448,2338,2303,2271,2279,2263,2249,2251,5335,5311,5302,5085,4892,4870,4706,4711,4635,4641,4603,3,4,4,4,5,3,4,4,4,6,9,1,6,2,1,3,0,1,1,0,1,1,4,10,6,5,8,3,5,5,4,7,10,1,1,0,1,0,1,4,0,0,0,2,0,0,0,1,0,0,0,0,1,0,2,1,1,0,2,0,1,4,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,5,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,1,1,2,1,1,2,3,1,1,1,1,1,0,1,1,1,1,2,0,0,0,0,2,1,3,2,2,3,5,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,2,5,7,9,3,4,7,15,11,13,0,0,2,23,0,0,2,1,1,3,3,2,2,7,30,9,3,6,8,16,14,16,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,4,11,0,2,4,6,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,4,11,0,2,4,6,3,1,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,3,2,1,1,0,11,1,9,6,0,0,0,0,0,17,0,5,0,4,2,1,0,3,2,1,18,0,16,1,13,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,2,3,2,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,2,2,3,2,2,2,2,3,4,2,4,2,3,2,4,4,7,11,3,5,7,1,3,2,3,3,3,1,2,6,9,9,5,5,5,5,7,7,8,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,3,1,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,2,0,0,1,1,1,0,0,2,0,0,2,2,2,2,0,1,1,2,2,2,1,2,0,0,0,0,0,1,1,1,1,0,0,2,2,2,0,1,2,3,3,3,1,2,1,0,0,8,7,6,6,2,2,2,1,0,0,0,7,15,13,11,0,3,1,0,1,0,0,15,22,19,17,2,5,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,2,3,0,1,0,0,2,1,1,2,2,3,4,3,3,2,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,2,2,3,4,3,3,2,2,2,2,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,2,1,3,2,0,0,1,1,2,3,0,1,2,1,0,1,0,1,1,3,3,2,3,3,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,2,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,2,1,0,0,2,0,0,0,3,2,1,1,0,1,3,0,3,1,1,0,0,0,0,0,1,0,1,0,0,1,3,2,1,1,0,2,3,1,3,1,2,0,0,1,2,0,0,2,4,3,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,1,0,2,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,2,5,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,3,2,6,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,3,4,4,5,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,3,6,4,5,1,1,2,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,2,1,2,1,1,2,1,1,1,1,1,6,1,1,0,0,0,1,1,2,4,3,1,0,0,0,0,0,0,0,0,2,1,7,1,1,0,0,0,1,1,2,6,4,22,25,17,30,30,27,30,31,29,32,34,10,14,12,13,14,10,14,19,16,25,18,32,39,29,43,44,37,44,50,45,57,52,1,2,1,1,2,1,0,3,1,1,0,2,0,0,1,0,0,0,0,0,0,1,3,2,1,2,2,1,0,3,1,1,1,0,2,2,2,1,1,0,0,1,3,5,0,0,1,0,0,1,1,1,0,0,0,0,2,3,2,1,2,1,1,1,3,5,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,1,2,5,2,3,3,5,2,3,3,3,0,0,2,2,1,1,1,1,0,0,2,0,2,7,4,4,4,6,3,3,3,5,0,1,1,1,1,1,2,1,1,1,2,1,1,0,1,1,2,2,4,2,2,3,2,2,1,2,2,3,4,5,3,3,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,1,2,3,4,1,1,2,3,0,0,1,1,0,1,3,0,0,0,0,0,0,2,2,2,4,7,1,1,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,1,10,2,4,2,3,3,2,2,3,2,3,1,1,0,0,1,5,2,0,4,7,4,11,3,4,2,4,8,4,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,1,1,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,8,1,0,1,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,4,4,0,1,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,1,0,4,6,0,1,1,2,1,0,2,2,1,1,2,1,4,3,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,2,1,1,3,1,4,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,3,1,2,1,2,2,2,2,0,0,1,0,0,1,0,0,0,0,2,1,1,1,3,1,3,1,2,2,2,4,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,2,1,0,3,0,0,1,0,1,0,1,3,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,4,1,0,1,1,3,0,3,3,3,0,0,0,0,0,0,0,0,0,0,0,2,4,1,0,1,1,3,0,3,3,3,1,2,4,2,3,6,3,4,7,6,3,0,2,1,0,0,0,0,1,0,0,0,1,4,5,2,3,6,3,5,7,6,3,0,1,3,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,3,2,1,7,0,0,1,0,0,0,0,0,0,0,2,0,0,2,0,1,1,1,3,2,1,9,1,1,0,0,0,0,0,0,0,3,3,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,6,8,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,8,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,2,1,0,0,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,3,3,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,2,3,4,3,1,0,0,1,3,1,1,2,1,3,3,2,0,0,2,4,1,5,4,4,7,6,3,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,2,1,1,1,3,2,1,1,0,0,2,7,4,0,0,0,0,1,4,0,0,4,9,5,1,1,3,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,2,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,2,2,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,1,3,3,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,1,0,2,2,1,0,1,0,2,1,0,0,1,1,1,2,1,1,1,0,0,0,0,1,0,0,0,0,2,1,2,1,0,0,2,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,2,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,1,2,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,8,16,10,19,7,7,8,10,5,8,5,0,0,0,0,0,0,0,0,0,0,0,8,16,10,19,7,7,8,10,5,8,5,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,1,2,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,2,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,2,2,0,1,0,2,0,0,2,0,0,1,3,0,2,0,3,0,0,2,0,0,3,5,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,13,2,2,3,5,2,2,2,3,0,0,0,0,0,0,0,0,0,0,0,1,0,13,2,2,3,5,2,2,2,3,1,0,1,0,0,0,0,0,0,0,0,6,6,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,3,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,3,4,1,0,21,27,23,16,16,22,35,18,24,24,15,6,5,6,3,6,22,26,23,26,17,10,27,32,29,19,22,44,61,41,50,41,25,0,0,0,0,1,1,0,2,6,3,3,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,3,2,0,2,6,4,3,1,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,1,0,1,4,1,2,1,3,2,1,0,0,0,0,0,1,1,2,0,3,3,1,1,0,1,4,2,3,3,3,1,0,0,0,1,2,0,2,2,5,3,0,0,0,0,1,1,0,1,2,2,5,1,0,0,0,2,3,0,3,4,7,8,1,1,2,1,1,0,1,2,2,3,3,0,0,0,0,0,0,1,2,0,0,1,1,1,2,1,1,0,2,4,2,3,4,2,2,1,1,3,6,4,2,3,4,6,0,1,0,0,0,0,0,1,1,0,0,2,3,1,1,3,6,4,3,4,4,6,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,4,0,1,1,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,1,2,0,4,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,4,0,1,3,1,1,2,5,5,5,2,3,4,0,0,2,2,2,3,3,2,3,7,4,1,3,3,3,4,8,8,7,0,0,0,0,0,0,1,1,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,2,2,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,4,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,1,1,0,2,3,2,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,3,2,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,19,18,19,20,15,25,26,19,16,16,23,8,11,9,12,15,11,11,8,7,7,8,27,29,28,32,30,36,37,27,23,23,31,174,186,195,199,191,203,221,228,224,236,251,187,180,187,209,207,222,239,261,266,275,296,361,366,382,408,398,425,460,489,490,511,547,12,14,19,13,12,12,15,15,18,18,10,2,3,2,0,2,4,4,5,5,6,4,14,17,21,13,14,16,19,20,23,24,14,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,1,1,1,1,0,0,1,1,2,1,1,1,1,1,1,0,0,4,5,9,9,6,8,7,5,6,4,5,1,2,1,0,2,2,1,1,2,5,3,5,7,10,9,8,10,8,6,8,9,8,5,0,0,2,2,4,3,3,2,5,4,5,1,2,2,1,1,2,1,1,4,3,10,1,2,4,3,5,5,4,3,9,7,7,9,10,8,10,9,9,9,8,4,4,1,2,1,1,34,2,1,1,3,1,3,8,11,11,9,44,11,10,10,11,5,7,28,31,28,36,40,24,26,24,24,33,25,11,12,12,10,10,4,4,10,10,14,14,39,43,40,46,50,28,30,34,34,47,39,15,23,24,22,37,32,25,31,31,40,36,10,13,17,14,20,29,17,19,21,26,19,25,36,41,36,57,61,42,50,52,66,55,25,27,35,39,32,32,30,36,36,33,37,18,20,22,22,21,19,18,13,13,11,13,43,47,57,61,53,51,48,49,49,44,50,230,215,210,236,253,267,221,246,241,263,250,113,108,130,145,163,179,135,154,147,186,211,343,323,340,381,416,446,356,400,388,449,461,3,4,5,9,8,6,12,14,10,10,8,3,3,2,2,3,3,4,4,4,2,3,6,7,7,11,11,9,16,18,14,12,11,2,1,1,3,6,4,3,0,1,2,4,1,0,0,1,1,0,0,0,0,0,0,3,1,1,4,7,4,3,0,1,2,4,2,0,0,0,3,1,0,1,1,3,6,2,0,1,3,2,3,0,1,2,2,2,4,0,1,3,5,4,0,2,3,5,8,4702,5017,5148,4925,4923,4960,4744,4815,4795,4827,4829,4812,4753,4649,4573,4429,4438,4514,4561,4549,4612,4533,9514,9770,9797,9498,9352,9398,9258,9376,9344,9439,9362,87,84,72,62,48,42,43,34,48,40,33,12,14,14,9,10,9,9,9,30,13,13,99,98,86,71,58,51,52,43,78,53,46,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,2,2,1,2,2,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,1,2,2,1,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,5,10,3,4,4,11,9,6,10,11,1,2,2,18,1,2,4,6,10,12,5,6,7,12,21,5,6,15,15,16,22,16,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,3,3,1,1,3,8,2,0,1,2,0,1,0,0,0,1,5,0,0,1,0,1,4,3,1,1,4,13,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,4,6,5,2,4,1,2,1,0,0,1,0,0,0,0,20,1,1,1,1,0,8,4,6,5,2,24,2,3,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,1,1,1,1,1,2,0,0,0,0,1,3,2,2,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,1,1,1,1,2,3,1,1,0,0,2,0,0,0,0,0,4,3,1,0,1,4,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,1,1,3,4,2,1,4,3,2,1,0,0,0,0,0,2,1,1,0,3,1,1,1,1,3,4,4,2,5,3,0,0,1,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,2,4,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,1,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,2,1,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,2,2,3,0,1,1,1,2,1,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,3,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,1,1,2,0,1,1,1,0,0,2,2,2,2,4,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,2,1,0,1,3,2,1,2,0,0,0,1,0,1,0,0,1,0,0,1,2,1,3,1,1,1,3,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,2,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,2,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,3,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,3,2,2,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,0,3,3,3,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,1,1,3,0,4,5,4,0,1,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,1,2,2,3,4,5,0,1,1,0,0,0,0,0,1,0,0,3,1,1,0,0,1,2,2,4,4,5,7,12,10,9,10,11,11,18,21,21,21,2,6,8,9,5,7,4,8,8,7,7,9,18,18,18,15,18,15,26,29,28,28,1,1,0,0,0,0,0,0,1,2,3,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,2,3,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,2,2,2,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,3,2,2,1,1,1,5,1,1,3,1,7,1,1,1,4,5,2,2,2,0,0,0,1,2,2,2,1,7,3,3,3,1,7,2,3,3,6,6,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,2,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,2,2,0,0,2,0,1,0,0,0,0,2,0,1,1,3,1,1,1,0,0,1,4,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,3,4,0,0,0,0,0,0,0,2,2,3,5,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,1,1,2,2,1,1,1,0,0,1,0,0,1,0,0,0,0,4,0,3,2,1,1,2,2,2,1,1,5,0,0,2,1,1,0,0,1,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,1,0,0,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,2,2,1,1,1,1,2,1,4,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,2,1,2,1,5,0,0,0,0,1,0,1,1,1,1,1,1,1,1,3,4,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,1,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,2,0,0,1,0,0,0,1,0,0,2,2,0,0,3,0,1,0,2,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,1,1,2,0,1,0,0,1,1,1,3,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,2,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,1,0,2,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,5,4,3,3,4,5,1,2,3,0,1,0,0,0,0,0,0,0,0,1,0,1,5,4,3,3,4,5,1,2,4,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,2,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,3,2,2,5,4,4,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,3,2,3,5,4,4,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,2,3,3,2,3,2,4,0,0,1,1,0,0,0,0,0,0,0,2,1,3,3,2,3,3,2,3,2,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,1,0,1,2,1,2,3,1,0,0,0,1,2,2,1,2,2,3,0,0,0,3,2,2,3,3,3,4,6,1,2,0,2,0,0,1,1,2,2,4,2,0,0,1,2,3,1,3,2,1,1,1,2,0,3,2,3,2,4,4,3,5,3,1,1,1,1,2,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,3,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,1,2,0,0,0,1,0,0,1,1,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,18,25,19,17,22,24,30,23,26,14,9,7,9,8,12,15,19,23,19,22,9,25,25,34,27,29,37,43,53,42,48,23,3,4,3,6,5,3,4,4,5,7,6,2,1,0,2,4,4,4,5,6,8,7,5,5,3,8,9,7,8,9,11,15,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,3,3,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,11,12,12,10,13,12,11,10,13,13,12,10,11,6,4,5,3,4,9,5,11,28,21,23,18,14,18,15,15,19,18,24,0,1,1,1,1,2,0,3,2,3,1,1,1,0,0,0,1,0,0,0,2,1,1,2,1,1,1,3,0,3,2,5,2,0,0,0,0,1,2,1,12,2,1,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,0,1,3,2,13,2,2,2,1,1,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,2,2,3,0,1,0,0,0,0,1,0,2,1,3,4,4,2,1,3,0,3,1,1,0,1,0,0,0,0,1,0,1,1,0,1,4,4,4,2,1,4,0,4,2,1,0,0,0,0,2,1,0,0,3,2,1,0,0,1,1,1,1,0,1,0,2,3,0,0,1,1,3,2,0,1,3,4,4,4,3,1,9,8,11,6,7,7,3,6,2,1,1,1,1,0,1,1,2,0,0,6,4,2,10,9,11,7,8,9,3,6,7,7,8,5,12,9,8,10,10,14,8,0,1,2,1,1,3,4,3,4,2,1,7,8,10,6,13,12,12,13,14,16,9,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,2,3,2,2,2,3,2,2,2,4,3,3,0,2,1,0,1,0,0,2,4,3,5,3,4,3,2,4,2,2,4,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,5,1,1,1,1,0,0,0,0,0,0,134,144,146,136,167,184,170,177,205,231,240,128,110,111,109,113,102,127,132,144,150,164,262,254,257,245,280,286,297,309,349,381,404,5,5,6,5,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,5,7,5,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,6,1,2,0,0,0,0,0,1,1,3,6,5,4,1,0,0,0,0,1,1,4,12,6,6,1,0,1,0,0,0,1,1,0,1,1,3,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,9,7,7,4,2,5,3,3,2,5,0,1,1,0,3,2,2,1,1,3,3,7,10,8,7,7,4,7,4,4,5,8,2,0,0,0,0,0,1,20,17,1,1,0,0,1,1,0,0,0,2,3,0,0,2,0,1,1,0,0,1,22,20,1,1,9,8,8,3,3,2,2,1,2,2,0,0,6,0,0,1,1,1,3,2,2,2,9,14,8,3,4,3,3,4,4,4,2,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,11,21,23,21,17,14,7,12,16,16,16,9,11,12,9,7,5,6,7,10,7,8,20,32,35,30,24,19,13,19,26,23,24,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,2,4,3,4,3,3,2,0,0,2,1,1,1,1,1,2,0,2,1,1,1,1,0,5,4,5,5,3,4,1,1,3,2,1,119,127,127,127,131,128,118,121,129,129,130,70,63,68,69,62,55,53,52,59,60,61,189,190,195,196,193,183,171,173,188,189,191,12,15,12,15,20,20,24,27,32,22,16,13,10,10,12,9,10,17,27,22,15,13,25,25,22,27,29,30,41,54,54,37,29,2,2,1,0,2,1,3,3,2,3,2,3,1,2,3,2,1,0,0,3,1,1,5,3,3,3,4,2,3,3,5,4,3,206,180,174,170,175,175,216,206,211,250,221,85,83,88,85,87,87,133,118,130,195,161,291,263,262,255,262,262,349,324,341,445,382,3,5,7,7,7,6,2,5,6,6,5,0,2,0,1,1,1,0,2,0,1,1,3,7,7,8,8,7,2,7,6,7,6,3,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,4,0,1,2,2,2,0,1,1,0,0,1,0,0,0,0,1,1,1,1,2,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,2,2,1,2,2,1,16,20,29,22,32,31,28,25,27,33,34,16,15,16,12,14,14,13,14,22,24,20,32,35,45,34,46,45,41,39,49,57,54,3186,3295,3383,3305,3175,3142,3042,3009,2901,2870,2775,3034,3033,3023,2972,2837,2836,2783,2784,2805,2714,2654,6220,6328,6406,6277,6012,5978,5825,5793,5706,5584,5429,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,6,6,7,9,8,11,6,9,3,1,0,0,8,1,1,2,2,3,4,3,3,4,6,14,8,10,10,13,9,13,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,3,3,1,2,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,3,3,5,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,1,2,1,1,5,6,1,0,0,0,1,0,0,8,3,3,0,1,0,1,0,4,1,2,9,4,8,6,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,2,3,1,1,3,0,0,1,0,0,1,0,0,1,1,5,1,0,2,0,0,1,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,2,0,0,6,7,2,1,1,0,2,2,4,3,2,1,3,0,0,1,0,1,0,3,3,3,7,10,2,1,2,0,3,2,7,6,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,1,0,0,13,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,13,10,9,12,12,18,12,17,19,15,0,10,8,4,7,5,4,7,9,6,7,0,23,18,13,19,17,22,19,26,25,22,0,4,2,2,3,3,2,2,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,4,4,3,4,3,2,2,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,2,1,1,1,1,0,1,0,0,1,1,2,1,3,3,4,0,0,1,2,2,1,0,0,0,0,1,0,1,1,2,3,2,2,1,3,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,2,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,5,2,1,0,1,1,0,0,0,2,1,0,0,0,0,2,1,1,0,0,3,2,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,0,2,1,1,0,0,0,0,0,0,1,2,3,1,3,0,4,7,5,7,4,3,3,1,1,2,0,2,0,0,1,0,1,1,2,1,3,0,6,7,5,8,4,4,4,3,2,5,0,0,0,0,1,1,1,1,3,3,2,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,1,1,2,2,6,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,1,1,3,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,2,2,4,1,1,4,0,0,2,2,1,1,1,1,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,1,2,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,2,0,0,0,0,1,1,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,3,3,0,1,0,0,0,1,2,0,0,1,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,3,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,3,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,2,3,2,2,0,0,0,1,2,2,0,0,1,3,3,3,0,0,2,4,2,1,2,4,5,5,3,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,2,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,1,1,2,2,2,2,2,0,0,0,0,0,0,1,0,0,0,0,0,2,3,1,1,1,3,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,4,4,6,5,4,1,2,3,5,0,2,1,0,2,0,1,2,3,4,1,0,5,5,4,8,5,5,3,5,7,6,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,4,4,7,1,6,4,3,5,3,0,2,1,0,2,1,1,3,1,4,3,0,9,5,4,9,2,7,7,4,9,6,0,6,6,8,4,4,7,9,13,11,9,0,1,0,1,2,0,3,3,1,3,3,0,7,6,9,6,4,10,12,14,14,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,633,627,606,618,614,605,598,614,656,614,0,509,663,622,648,650,662,642,717,723,679,0,1142,1290,1228,1266,1264,1267,1240,1331,1379,1293,0,61,59,62,49,54,51,51,52,49,46,0,20,20,23,18,27,25,24,15,25,18,0,81,79,85,67,81,76,75,67,74,64,0,57,52,55,58,63,72,70,79,78,76,0,18,22,25,24,32,28,28,31,26,33,0,75,74,80,82,95,100,98,110,104,109,0,8,9,11,6,11,13,13,12,13,11,0,10,7,7,5,5,5,3,6,6,5,0,18,16,18,11,16,18,16,18,19,16,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,724,723,712,731,743,749,800,809,793,797,0,713,574,562,534,591,591,608,586,595,607,0,1437,1297,1274,1265,1334,1340,1408,1395,1388,1404,0,58,71,83,97,92,104,97,84,82,76,0,45,47,51,60,66,76,73,60,62,59,0,103,118,134,157,158,180,170,144,144,135,0,4,6,7,8,9,11,13,10,9,5,0,3,4,6,3,1,3,3,3,7,5,0,7,10,13,11,10,14,16,13,16,10,0,47,45,40,44,44,46,51,47,53,52,0,33,38,40,41,35,41,34,34,46,47,0,80,83,80,85,79,87,85,81,99,99,0,4,4,4,2,2,4,3,1,1,2,0,0,0,1,0,1,1,1,2,1,2,0,4,4,5,2,3,5,4,3,2,4,0,2,1,2,2,1,1,0,2,5,5,0,4,3,5,3,4,1,1,0,0,1,0,6,4,7,5,5,2,1,2,5,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6,7,4,6,2,1,0,2,4,1,0,0,2,2,1,2,0,0,1,1,0,0,6,9,6,7,4,1,0,3,5,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,10,1,1,1,2,0,2,2,4,1,3,2,3,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,1,3,2,3,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,2,3,3,2,2,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,4,2,3,3,3,2,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"extension":{"px":{"infofile":"AM0207","tableid":"TAB334","decimals":0}}}}