{"dataset":{"dimension":{"Region":{"label":"region","category":{"index":{"1265":0,"1266":1,"1267":2,"1270":3,"1272":4,"1273":5,"1275":6,"1276":7,"1277":8},"label":{"1265":"Sjöbo","1266":"Hörby","1267":"Höör","1270":"Tomelilla","1272":"Bromölla","1273":"Osby","1275":"Perstorp","1276":"Klippan","1277":"Åstorp"}}},"Alder":{"label":"age","category":{"index":{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"15":15,"16":16,"17":17,"18":18,"19":19,"20":20,"21":21,"22":22,"23":23,"24":24,"25":25,"26":26,"27":27,"28":28,"29":29,"30":30,"31":31,"32":32,"33":33,"34":34,"35":35,"36":36,"37":37,"38":38,"39":39,"40":40,"41":41,"42":42,"43":43,"44":44,"45":45,"46":46,"47":47,"48":48,"49":49,"50":50,"51":51,"52":52,"53":53,"54":54,"55":55,"56":56,"57":57,"58":58,"59":59,"60":60,"61":61,"62":62,"63":63,"64":64,"65":65,"66":66,"67":67,"68":68,"69":69,"70":70,"71":71,"72":72,"73":73,"74":74,"75":75,"76":76,"77":77,"78":78,"79":79,"80":80,"81":81,"82":82,"83":83,"84":84,"85":85,"86":86,"87":87,"88":88,"89":89,"90":90,"91":91,"92":92,"93":93,"94":94,"95":95,"96":96,"97":97,"98":98,"99":99,"100+":100,"tot":101},"label":{"0":"0 years","1":"1 year","2":"2 years","3":"3 years","4":"4 years","5":"5 years","6":"6 years","7":"7 years","8":"8 years","9":"9 years","10":"10 years","11":"11 years","12":"12 years","13":"13 years","14":"14 years","15":"15 years","16":"16 years","17":"17 years","18":"18 years","19":"19 years","20":"20 years","21":"21 years","22":"22 years","23":"23 years","24":"24 years","25":"25 years","26":"26 years","27":"27 years","28":"28 years","29":"29 years","30":"30 years","31":"31 years","32":"32 years","33":"33 years","34":"34 years","35":"35 years","36":"36 years","37":"37 years","38":"38 years","39":"39 years","40":"40 years","41":"41 years","42":"42 years","43":"43 years","44":"44 years","45":"45 years","46":"46 years","47":"47 years","48":"48 years","49":"49 years","50":"50 years","51":"51 years","52":"52 years","53":"53 years","54":"54 years","55":"55 years","56":"56 years","57":"57 years","58":"58 years","59":"59 years","60":"60 years","61":"61 years","62":"62 years","63":"63 years","64":"64 years","65":"65 years","66":"66 years","67":"67 years","68":"68 years","69":"69 years","70":"70 years","71":"71 years","72":"72 years","73":"73 years","74":"74 years","75":"75 years","76":"76 years","77":"77 years","78":"78 years","79":"79 years","80":"80 years","81":"81 years","82":"82 years","83":"83 years","84":"84 years","85":"85 years","86":"86 years","87":"87 years","88":"88 years","89":"89 years","90":"90 years","91":"91 years","92":"92 years","93":"93 years","94":"94 years","95":"95 years","96":"96 years","97":"97 years","98":"98 years","99":"99 years","100+":"100+ years","tot":"total"}},"link":{"describedby":[{"extension":{"Alder":"Ålder"}}]}},"Kon":{"label":"sex","category":{"index":{"1":0,"2":1},"label":{"1":"men","2":"women"}},"link":{"describedby":[{"extension":{"Kon":"Kön"}}]}},"ContentsCode":{"label":"observations","category":{"index":{"BE0101D9":0},"label":{"BE0101D9":"Deaths"},"unit":{"BE0101D9":{"base":"number","decimals":0}}}},"Tid":{"label":"year","category":{"index":{"1968":0,"1969":1,"1970":2,"1971":3,"1972":4,"1973":5,"1974":6,"1975":7,"1976":8,"1977":9,"1978":10,"1979":11,"1980":12,"1981":13,"1982":14,"1983":15,"1984":16,"1985":17,"1986":18,"1987":19,"1988":20,"1989":21,"1990":22,"1991":23,"1992":24,"1993":25,"1994":26,"1995":27,"1996":28,"1997":29,"1998":30,"1999":31,"2000":32,"2001":33,"2002":34,"2003":35,"2004":36,"2005":37,"2006":38,"2007":39,"2008":40,"2009":41,"2010":42,"2011":43,"2012":44,"2013":45,"2014":46,"2015":47,"2016":48,"2017":49,"2018":50,"2019":51},"label":{"1968":"1968","1969":"1969","1970":"1970","1971":"1971","1972":"1972","1973":"1973","1974":"1974","1975":"1975","1976":"1976","1977":"1977","1978":"1978","1979":"1979","1980":"1980","1981":"1981","1982":"1982","1983":"1983","1984":"1984","1985":"1985","1986":"1986","1987":"1987","1988":"1988","1989":"1989","1990":"1990","1991":"1991","1992":"1992","1993":"1993","1994":"1994","1995":"1995","1996":"1996","1997":"1997","1998":"1998","1999":"1999","2000":"2000","2001":"2001","2002":"2002","2003":"2003","2004":"2004","2005":"2005","2006":"2006","2007":"2007","2008":"2008","2009":"2009","2010":"2010","2011":"2011","2012":"2012","2013":"2013","2014":"2014","2015":"2015","2016":"2016","2017":"2017","2018":"2018","2019":"2019"}}},"id":["Region","Alder","Kon","ContentsCode","Tid"],"size":[9,102,2,1,52],"role":{"metric":["ContentsCode"],"time":["Tid"]}},"label":"Deaths by region, age, sex, observations and year","source":"Statistics Sweden","updated":"2020-09-21T07:22:00Z","value":[0,0,0,0,0,0,0,0,0,1,2,0,0,2,2,0,1,1,1,2,2,1,0,2,0,1,0,0,1,0,1,1,1,2,0,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,2,0,1,2,3,2,0,0,1,0,0,1,0,0,1,0,0,1,2,2,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,2,2,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,2,1,1,1,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,2,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,2,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,2,0,0,0,0,1,0,2,1,2,0,1,0,0,0,1,1,1,3,0,0,1,0,2,1,2,0,1,2,0,0,2,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,2,0,1,2,1,3,2,0,0,2,1,1,2,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,1,1,0,2,1,1,0,0,1,1,0,0,0,2,0,0,0,0,3,0,2,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,1,2,3,0,0,0,1,0,1,1,1,1,1,0,1,3,1,0,3,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,1,1,0,1,2,0,1,1,2,1,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,2,1,0,1,1,1,1,0,0,2,1,1,1,0,2,0,1,0,2,0,2,3,0,1,1,1,1,2,0,1,0,1,3,0,0,0,0,1,1,0,0,2,0,0,2,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,2,1,0,0,1,2,0,2,1,3,0,0,2,1,1,1,0,3,1,1,1,4,1,0,2,0,0,1,0,1,1,0,0,1,2,1,0,3,1,2,0,3,2,2,0,0,2,2,1,1,2,1,0,0,1,0,0,0,1,1,0,0,3,0,0,0,1,2,2,1,0,0,0,0,1,2,0,0,1,1,0,1,0,2,0,0,0,0,1,0,0,1,1,0,0,1,1,1,2,0,1,0,2,1,1,0,0,2,0,1,1,2,2,1,5,0,1,2,1,1,0,0,0,3,2,2,1,2,3,1,0,1,3,0,1,1,0,0,1,0,2,3,1,3,2,0,1,3,0,0,0,1,0,1,1,2,0,3,2,1,1,1,3,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,1,0,2,1,2,2,0,0,2,0,3,4,1,0,2,2,2,3,3,2,0,2,0,2,2,0,0,1,2,0,0,0,0,1,3,1,0,4,2,0,0,0,0,0,0,4,2,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,1,0,0,0,1,0,1,2,2,0,2,1,0,1,0,0,2,1,1,2,0,0,0,1,1,1,0,0,1,3,1,2,0,1,1,1,0,2,1,0,0,2,3,1,1,1,1,1,2,0,1,0,0,0,1,1,0,2,0,1,0,0,0,2,0,1,0,1,1,0,3,0,1,2,1,3,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,0,1,1,2,0,0,0,0,0,1,0,0,3,1,2,2,3,1,2,0,2,2,2,0,0,0,1,1,2,1,1,0,0,3,0,1,1,0,1,0,1,2,1,1,0,2,0,0,1,2,1,1,0,0,4,3,2,2,2,1,2,2,0,0,1,2,1,1,0,3,1,1,5,1,1,2,1,1,0,0,0,0,2,0,1,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,2,0,1,0,1,0,4,1,1,2,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,4,2,1,0,0,2,0,0,3,0,2,1,2,2,2,3,1,1,1,2,2,1,1,2,1,2,2,2,3,1,2,2,2,0,1,3,1,4,1,3,3,2,0,0,1,2,1,2,3,0,0,1,1,1,1,0,1,3,2,1,2,2,0,0,0,0,1,1,0,1,1,3,2,0,0,0,2,1,0,1,0,0,2,2,0,0,0,2,0,1,0,0,1,1,0,1,0,0,0,3,0,3,0,0,2,1,1,0,3,0,0,1,0,1,2,0,2,3,1,3,0,1,3,1,3,2,2,0,1,4,2,1,1,0,2,3,2,1,2,1,1,0,2,2,1,1,3,2,1,2,2,3,1,2,4,3,2,0,1,3,0,1,1,2,0,1,0,0,3,1,1,1,0,0,1,0,1,1,2,0,1,0,0,2,1,1,0,0,1,2,1,3,2,0,0,0,0,1,1,0,0,4,1,1,1,2,3,2,1,1,0,1,2,0,1,2,2,3,1,1,0,0,1,3,1,1,3,2,1,2,2,3,2,2,0,0,1,1,5,2,2,2,0,1,2,2,0,4,3,3,1,1,0,0,0,2,2,0,4,0,1,2,0,2,1,3,2,3,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,3,1,2,0,1,1,0,0,1,0,1,0,1,2,0,1,0,0,0,0,1,1,0,0,2,1,0,1,3,3,1,2,1,2,2,1,1,2,3,1,2,3,1,0,2,3,0,2,1,3,0,2,3,2,2,3,1,4,0,2,3,0,0,2,2,1,0,1,3,1,4,1,3,0,1,2,1,0,1,1,1,1,1,1,0,1,0,4,0,1,2,0,0,1,0,1,2,0,1,1,1,0,0,1,1,1,0,0,2,1,1,1,1,0,0,1,0,1,0,0,1,2,1,3,2,2,0,1,1,1,0,0,2,1,2,2,2,1,2,4,2,3,6,0,7,0,4,1,4,2,2,1,3,4,0,0,0,4,5,3,1,1,1,6,3,2,1,0,0,2,1,2,1,1,1,2,2,0,2,2,0,2,1,2,0,0,0,1,1,0,4,1,2,2,1,0,0,1,0,2,2,1,1,1,0,1,1,3,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,4,1,1,1,1,1,1,1,0,1,2,1,3,2,0,0,1,3,1,6,1,2,4,4,3,3,1,0,3,4,4,1,1,3,6,2,1,1,0,4,4,1,4,3,1,2,0,1,2,0,2,1,3,2,1,2,3,0,1,0,5,1,2,3,0,1,1,1,1,1,0,2,0,1,3,3,1,3,0,1,0,0,0,1,4,2,0,1,1,0,1,1,2,1,0,2,3,1,0,1,0,2,0,0,1,1,1,2,2,1,0,1,2,0,0,0,1,1,1,2,2,2,0,4,1,4,3,2,3,3,3,4,2,2,2,2,2,2,1,3,2,3,2,4,2,2,4,2,1,3,0,0,2,2,1,0,0,1,2,0,2,3,0,2,2,4,3,4,2,2,0,0,1,0,3,1,1,1,2,1,2,1,1,0,0,1,0,0,1,2,3,2,0,2,1,1,0,0,1,1,1,1,0,2,0,0,0,0,2,2,0,1,1,0,1,1,2,2,2,1,3,1,0,3,2,1,4,0,4,0,5,3,3,4,4,3,1,4,2,4,5,4,4,5,1,4,2,4,3,1,2,3,3,2,2,2,0,1,1,3,3,1,0,3,0,4,3,0,0,2,1,4,1,2,1,1,4,1,1,5,3,1,0,0,2,2,2,1,2,2,3,3,1,1,0,3,0,2,2,0,0,1,1,0,2,4,2,4,1,2,0,1,1,1,4,0,1,2,2,2,1,1,1,1,2,3,1,3,2,3,2,2,1,2,1,4,4,5,3,2,2,1,5,2,3,0,4,4,0,2,2,1,1,2,3,3,3,1,2,1,1,2,2,0,0,4,1,1,3,2,5,1,3,1,2,2,1,1,2,1,0,4,4,1,0,1,2,3,3,1,4,2,1,1,3,4,1,2,1,2,2,1,0,2,3,1,1,2,1,2,1,2,1,1,3,0,0,2,1,1,1,1,2,1,4,1,3,2,2,0,2,4,4,5,4,3,4,2,3,0,0,7,2,2,4,1,4,6,7,5,5,3,4,2,7,2,3,4,2,1,0,4,4,1,3,0,2,3,3,4,2,1,0,4,4,2,4,4,4,6,1,3,1,2,3,0,2,2,1,2,1,0,1,6,0,1,1,2,2,1,2,0,2,0,0,1,0,4,1,0,0,0,1,2,3,2,1,3,0,3,0,3,3,1,0,1,1,2,0,4,3,3,4,2,2,4,2,2,0,2,3,6,3,2,6,1,4,6,6,2,4,3,5,4,2,2,4,3,3,2,4,3,4,1,4,2,3,3,1,2,0,1,1,3,2,3,2,4,4,0,4,5,1,6,1,5,1,4,3,1,1,5,4,1,2,0,2,0,1,3,2,0,3,1,2,2,1,2,0,2,2,3,1,1,0,4,0,2,2,1,1,0,3,2,0,3,1,2,5,1,1,1,2,1,2,3,2,0,0,2,1,5,1,2,1,3,3,0,3,4,4,4,5,3,6,3,4,6,2,2,6,5,3,1,2,5,5,4,3,3,1,6,2,1,4,2,1,6,2,2,0,4,4,6,1,3,3,6,3,1,3,2,1,3,3,1,1,1,2,1,4,3,2,1,3,4,3,2,3,0,4,1,0,1,0,1,3,2,2,1,4,3,2,0,3,2,1,1,3,1,0,1,3,1,0,4,3,2,1,4,2,3,4,3,3,10,4,7,1,5,2,6,3,4,3,0,2,4,3,3,7,3,4,6,7,3,1,0,4,3,6,2,3,1,1,0,0,3,2,3,3,2,1,3,1,2,3,3,1,5,4,0,3,2,4,1,1,1,7,4,2,2,5,2,0,0,2,1,1,4,0,1,2,3,1,3,3,2,2,2,3,0,3,4,3,1,1,1,2,2,1,3,5,3,1,1,0,0,4,2,4,2,1,1,5,4,5,1,6,5,2,2,4,1,2,1,1,6,3,4,6,9,2,6,3,2,8,4,1,3,6,1,1,1,2,3,2,4,4,1,3,5,2,2,6,5,1,4,1,2,2,5,1,1,2,6,3,5,1,1,3,2,2,1,1,5,2,2,1,3,5,3,3,2,3,2,0,1,3,1,0,1,1,4,1,1,1,1,1,3,1,5,1,2,4,1,1,2,1,2,7,1,2,1,2,1,3,2,4,4,2,2,7,5,2,2,3,5,1,8,6,4,6,7,4,8,3,3,2,5,7,2,0,7,0,4,2,6,5,6,3,3,1,0,0,1,0,3,0,2,7,4,4,2,4,6,4,6,7,3,4,4,2,2,0,0,8,1,7,1,2,2,2,1,2,1,1,1,2,2,2,2,3,4,2,2,4,4,1,2,2,2,3,2,2,1,2,1,3,2,2,3,2,2,3,3,1,0,2,1,3,1,2,3,4,6,4,2,4,2,6,6,3,2,7,4,8,4,4,5,4,1,8,5,4,7,3,6,4,3,3,2,4,3,5,4,2,1,3,3,3,2,7,2,1,0,3,5,3,4,2,2,3,3,4,5,6,1,3,2,3,5,3,5,1,1,7,1,1,4,3,5,2,3,6,1,3,5,2,1,0,1,1,2,1,1,3,2,3,1,6,3,2,2,0,1,2,4,0,1,0,2,4,2,2,4,6,3,3,3,1,7,6,2,2,5,5,8,2,2,8,7,3,3,5,1,3,5,2,4,6,6,3,5,2,3,1,2,5,5,9,1,2,5,1,2,5,4,3,2,5,4,2,1,3,3,4,5,4,5,1,2,5,3,1,1,8,1,2,3,3,3,5,3,2,1,5,3,7,1,5,2,1,3,3,2,1,2,3,1,1,2,3,4,1,2,4,1,2,3,1,1,1,0,2,5,1,1,4,2,5,2,2,3,1,2,5,5,3,3,8,9,6,0,7,4,6,4,3,5,8,4,4,5,5,3,5,2,4,1,1,3,2,6,3,3,3,6,4,2,3,5,4,2,0,3,4,1,0,6,3,6,1,7,1,7,5,5,5,4,3,3,5,1,7,2,3,2,2,3,5,3,5,4,1,3,3,0,3,3,1,5,1,5,4,4,3,7,3,8,1,2,2,4,2,4,1,5,1,1,4,3,2,3,4,3,4,2,2,3,9,0,2,3,6,4,3,1,2,3,5,0,4,3,1,2,5,8,3,10,4,3,5,5,3,4,4,5,1,4,3,6,3,4,2,0,6,5,6,2,6,1,4,2,4,2,2,4,5,6,4,1,1,1,6,6,2,2,1,6,0,0,6,2,2,8,7,5,6,4,1,5,3,7,4,2,2,2,2,3,6,1,3,2,0,5,6,2,4,1,3,2,2,3,0,2,1,4,4,5,5,4,7,4,2,5,1,6,3,8,1,0,4,3,7,6,7,2,4,2,5,6,4,4,3,6,8,3,6,3,2,2,2,3,2,0,4,6,5,3,2,1,5,4,4,2,2,1,6,2,1,5,3,1,5,3,5,4,1,4,4,6,5,3,4,10,5,4,4,3,1,8,9,8,2,3,3,5,3,3,3,3,2,4,6,3,2,6,4,2,1,5,1,3,1,2,6,2,2,4,4,4,8,4,3,1,12,3,4,1,3,2,7,1,4,4,7,5,5,7,3,2,4,1,4,0,2,7,7,5,3,2,2,3,4,6,1,2,8,1,3,3,4,5,3,5,7,4,5,6,1,5,3,7,1,5,4,3,3,3,3,3,3,5,3,2,5,3,2,4,2,4,2,2,5,4,4,6,0,5,5,3,5,8,6,6,1,4,3,7,5,3,1,1,3,4,1,2,2,2,1,4,1,2,4,3,5,3,8,4,6,6,3,6,3,5,3,3,0,3,1,2,4,5,5,6,4,7,3,4,4,9,4,6,3,5,4,4,2,5,3,2,3,3,5,2,2,7,5,5,2,2,4,2,2,1,3,4,1,3,4,0,6,3,1,2,2,10,6,2,3,0,6,3,4,4,1,2,0,4,3,5,4,2,3,1,3,5,4,3,4,4,2,3,3,3,5,2,4,0,2,3,1,4,3,2,2,3,2,1,4,4,2,5,2,4,3,2,4,2,5,2,4,2,4,3,2,2,3,5,5,6,2,5,4,3,3,4,8,3,4,6,3,5,2,5,4,0,6,3,5,0,2,1,3,5,7,8,4,4,1,2,4,5,3,2,4,3,1,3,5,0,4,3,7,3,2,6,1,2,5,5,5,9,2,4,3,2,4,3,3,5,0,2,1,5,3,2,7,8,1,4,3,3,6,4,4,5,3,3,3,3,2,2,6,3,1,7,1,3,2,4,2,2,2,1,2,2,4,1,2,1,5,4,3,3,2,3,6,4,5,4,7,2,5,3,3,2,3,3,4,1,3,2,4,4,7,2,5,4,10,5,5,6,5,2,0,2,2,5,5,3,4,0,4,4,4,2,9,7,4,2,2,2,3,3,4,3,3,7,4,4,2,5,3,5,8,6,5,7,6,5,2,3,5,4,2,2,8,6,6,1,3,9,3,7,1,5,1,2,2,2,0,4,4,0,1,2,3,3,3,5,1,3,2,3,1,3,2,3,2,6,7,0,4,3,1,1,6,2,3,2,3,1,3,2,5,2,1,3,1,8,4,4,8,2,4,5,5,5,1,2,2,4,4,2,1,5,2,2,3,5,4,6,3,3,5,1,3,4,3,6,4,2,4,4,4,3,2,4,3,8,4,3,4,3,4,7,7,2,6,7,1,3,4,8,4,3,8,4,7,4,1,1,3,4,1,1,3,2,3,3,0,1,2,3,4,1,4,1,1,4,1,1,4,3,0,4,0,1,0,1,8,1,1,5,6,2,5,4,5,5,0,3,4,2,2,3,4,2,3,5,0,4,4,3,3,3,6,4,4,1,7,1,2,4,1,3,2,2,4,2,6,4,1,3,8,3,2,3,4,5,3,9,6,8,4,5,6,5,6,2,1,5,8,2,3,3,5,3,3,1,5,5,6,2,2,3,1,2,2,2,2,4,0,3,3,0,1,1,4,6,1,2,2,2,2,1,3,3,1,1,2,3,2,5,1,3,4,4,2,2,5,4,4,2,5,3,6,3,1,4,3,4,5,5,5,2,3,5,0,1,3,3,4,1,4,5,4,4,2,2,4,0,8,2,5,5,7,5,1,4,2,1,4,5,6,3,1,3,8,2,8,5,8,4,7,4,2,4,9,2,6,10,1,6,5,4,4,7,1,1,0,1,1,4,2,1,1,4,2,1,1,0,3,4,2,1,1,1,5,3,4,3,3,1,3,3,4,3,4,4,1,4,3,1,2,4,1,2,4,0,1,3,3,4,2,8,3,1,1,3,0,1,0,2,0,5,4,2,6,3,6,5,2,0,1,1,5,2,1,6,4,0,1,2,2,2,4,6,3,4,3,3,3,4,1,3,2,3,3,2,4,7,6,4,7,0,8,7,4,3,7,6,1,0,3,3,4,2,0,2,3,3,1,2,2,2,0,2,3,0,2,2,1,1,2,1,4,1,1,1,4,2,3,2,3,2,2,0,4,3,2,5,2,2,4,5,3,1,2,2,2,6,3,1,1,1,5,1,3,1,5,0,3,0,0,2,3,2,1,0,1,3,3,4,4,5,4,4,1,1,3,5,5,5,5,3,4,3,5,5,2,2,6,7,6,3,5,3,3,3,4,1,1,6,4,2,1,0,0,0,1,4,0,2,3,3,2,2,1,1,0,2,0,1,1,2,1,1,0,3,1,1,2,4,1,5,1,1,3,1,2,2,1,1,1,2,2,0,2,3,2,4,3,0,1,1,4,1,0,1,0,1,3,1,1,1,4,0,0,3,3,2,1,4,2,1,3,2,1,2,4,3,2,2,2,2,4,2,5,3,4,2,2,1,6,4,2,7,1,3,2,6,8,3,6,5,5,5,3,7,0,0,0,1,2,2,1,0,0,2,1,0,1,3,1,2,0,0,0,1,2,2,2,2,4,2,0,3,3,4,2,1,1,4,0,0,1,4,0,4,1,0,3,0,1,1,2,2,3,4,4,0,0,0,0,0,1,1,3,0,1,1,2,3,2,0,2,3,0,0,4,1,2,1,0,2,0,0,4,4,2,6,5,2,5,4,5,5,1,1,2,5,4,2,4,3,3,5,4,3,4,6,5,4,1,1,0,1,1,0,0,1,0,0,2,0,0,1,0,1,0,1,3,0,2,1,0,2,3,1,0,1,0,3,2,1,1,3,0,2,0,2,1,4,1,1,1,0,1,1,0,4,4,2,1,1,3,1,2,0,2,0,1,1,0,0,1,1,1,3,3,1,1,1,0,2,2,2,3,2,1,2,4,2,1,2,1,2,3,3,4,1,2,5,1,4,3,4,4,4,5,2,2,3,1,2,2,2,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,4,0,2,0,2,1,0,2,2,2,2,2,1,1,0,0,2,1,0,1,0,0,1,1,1,1,2,2,2,2,1,0,0,1,1,0,0,0,0,1,1,2,1,0,0,0,2,2,3,2,1,0,1,1,2,0,3,1,1,1,3,0,2,3,0,5,3,1,2,1,1,4,0,1,1,2,3,0,6,2,3,7,5,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,1,1,1,0,3,1,0,1,1,1,1,2,0,2,0,0,2,3,1,0,0,2,2,0,0,0,1,2,1,0,1,0,2,1,0,0,1,2,0,2,3,1,0,1,2,1,1,2,2,2,0,2,1,0,2,0,0,0,3,3,1,1,0,2,3,1,1,2,4,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,2,2,1,1,0,1,1,0,2,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,2,0,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,3,0,1,0,1,1,0,0,2,3,1,1,2,1,1,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,2,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,1,0,0,0,1,3,1,0,0,1,0,0,0,1,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,1,0,1,1,2,1,0,0,1,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,2,2,1,1,2,2,1,1,1,0,0,1,1,1,0,2,2,1,0,1,1,1,0,1,1,2,1,2,3,1,110,87,88,100,99,118,94,99,77,106,120,96,104,107,123,106,110,113,106,101,122,116,115,127,110,121,103,110,117,106,115,117,107,117,86,72,102,89,78,108,100,91,108,103,87,103,119,108,88,119,109,116,61,95,72,71,91,67,92,74,92,79,89,75,98,74,74,80,84,76,91,91,99,89,98,113,66,72,86,102,84,100,76,96,94,104,111,96,85,109,87,98,99,98,91,95,104,91,80,100,101,98,100,99,4,2,3,3,0,1,3,2,1,1,1,0,1,0,0,1,2,1,1,2,0,0,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,3,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,0,1,0,1,1,0,1,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,2,2,2,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,3,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,1,1,0,1,1,1,2,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,1,1,3,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,1,2,1,1,2,1,0,0,0,0,2,2,0,0,1,0,2,0,0,0,0,1,2,3,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,1,1,1,0,0,0,1,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,2,0,0,2,0,1,0,1,3,0,0,0,0,3,0,1,1,0,1,3,1,0,1,3,1,1,0,0,0,2,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,3,1,0,1,1,2,0,2,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,2,2,0,0,1,0,0,1,0,2,1,2,0,1,0,1,2,1,0,0,2,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,2,0,1,0,1,0,0,1,2,1,2,0,1,1,1,0,2,0,0,0,0,3,1,0,0,1,2,1,0,0,0,0,3,3,1,1,1,2,1,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,2,2,1,1,1,2,1,2,0,1,1,1,0,1,2,1,2,0,0,1,3,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,1,2,0,0,0,0,1,1,0,1,1,1,0,0,2,1,1,0,0,0,0,0,0,1,2,1,0,0,0,3,0,2,0,0,0,4,2,0,1,0,0,2,1,1,0,2,1,0,1,0,2,0,0,2,2,0,2,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,2,0,1,1,0,1,0,1,1,1,0,2,0,1,0,0,1,2,1,0,0,0,0,0,2,1,1,0,0,1,1,2,1,2,1,1,5,2,1,1,1,0,1,0,0,0,1,2,1,0,0,2,1,1,0,1,2,1,1,0,0,1,0,0,1,0,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,2,2,0,2,1,0,1,0,1,0,0,0,2,2,2,2,1,1,0,3,1,1,0,0,1,1,0,3,1,1,1,3,1,1,0,3,0,0,1,1,1,1,0,0,2,1,1,2,0,2,0,0,1,4,2,1,3,2,2,1,1,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,1,0,0,0,4,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,2,1,2,1,1,2,0,0,1,2,1,0,2,5,1,4,1,2,1,1,1,0,2,3,0,0,2,0,0,1,1,0,2,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,3,2,3,1,3,1,3,3,0,2,2,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,3,2,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,3,0,1,0,0,0,2,0,0,3,2,1,2,1,3,1,1,3,2,5,1,0,1,1,1,2,2,2,0,0,2,1,0,3,0,0,1,0,3,0,0,3,4,0,1,0,0,3,1,1,1,1,0,3,2,2,2,0,0,3,1,0,1,0,1,2,1,1,1,1,0,0,0,0,2,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,2,0,1,0,2,2,2,3,1,2,2,0,0,0,2,3,1,1,2,0,5,0,2,1,0,0,2,0,1,3,2,0,4,0,1,0,0,0,2,2,3,2,1,0,1,1,2,1,0,0,1,1,2,1,1,1,1,1,1,1,1,1,0,2,1,1,1,2,1,2,0,1,1,0,1,1,0,1,0,0,0,0,1,2,2,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,2,1,3,0,1,1,0,3,1,2,1,2,4,2,2,0,0,0,1,3,4,2,2,1,1,1,1,0,0,1,2,0,1,1,2,1,1,1,0,0,2,2,0,0,2,1,0,0,1,0,0,3,2,4,1,2,2,1,1,0,0,2,0,1,1,0,3,1,1,0,1,2,1,0,1,1,3,0,0,0,2,0,0,2,1,1,0,3,0,0,0,0,1,0,3,0,0,0,1,1,1,0,1,2,1,0,0,1,0,0,0,0,1,4,6,0,0,3,3,2,1,1,1,3,3,0,0,1,4,2,0,0,1,1,1,2,1,2,1,1,0,2,2,2,0,1,0,1,0,3,2,1,1,1,2,1,2,1,3,1,1,4,2,1,0,3,0,0,2,0,1,1,3,2,0,0,3,2,2,0,2,2,1,1,0,1,0,0,0,2,1,0,0,1,2,1,3,2,2,0,0,0,0,0,0,1,1,0,0,0,1,1,2,1,0,1,1,3,1,3,2,3,1,2,4,2,2,2,2,3,1,2,3,2,3,1,2,2,3,4,1,0,1,1,4,3,1,2,1,1,2,2,1,0,0,0,1,1,2,1,3,2,0,2,2,1,2,0,2,0,1,1,3,3,0,1,4,1,0,0,1,0,3,2,1,1,1,2,1,0,2,1,0,0,0,2,0,0,1,3,2,0,0,1,1,2,1,0,1,2,1,0,0,2,1,1,3,0,0,0,2,2,0,4,1,3,5,3,4,5,3,0,3,1,1,2,5,0,0,0,3,0,1,6,0,1,4,2,2,2,1,2,4,4,1,2,0,3,0,3,1,0,2,2,1,1,1,1,4,1,2,1,2,2,1,1,0,0,1,1,0,2,0,2,2,1,0,0,1,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,2,2,1,2,1,1,0,0,1,0,0,0,1,1,2,2,4,2,4,2,4,2,1,2,1,1,3,2,3,4,3,4,4,2,6,4,2,1,4,1,3,1,2,3,1,0,2,1,1,0,0,1,1,4,2,1,1,1,1,3,2,1,1,6,4,1,1,2,0,1,0,0,3,1,1,1,3,1,2,2,0,2,1,1,2,3,3,1,2,0,1,0,2,1,1,1,2,1,1,1,1,0,1,1,1,1,1,3,0,2,0,0,1,1,1,0,1,2,1,2,2,2,6,3,5,1,2,1,4,3,1,2,2,6,2,3,2,2,2,2,4,3,5,4,1,2,3,3,2,0,2,1,1,4,1,1,2,2,1,1,0,2,2,2,1,3,1,3,1,1,0,1,1,1,0,1,4,1,0,1,0,2,3,0,2,1,1,3,0,1,2,3,0,1,1,0,0,0,4,1,3,0,1,2,1,1,1,0,1,0,1,1,1,2,1,1,2,1,0,0,0,2,2,1,1,1,3,6,1,3,0,3,0,1,0,1,2,7,1,2,2,3,1,0,2,5,3,2,0,2,3,1,3,5,3,4,2,3,0,4,1,5,4,1,3,0,2,1,1,3,1,5,0,3,4,3,2,1,1,1,3,3,4,4,3,1,3,0,1,1,0,1,1,5,0,3,2,2,2,1,2,2,1,3,0,1,0,1,1,1,1,1,0,2,2,2,2,1,0,1,0,1,0,0,1,3,0,0,0,0,2,3,1,3,4,2,3,1,2,2,2,1,5,4,3,4,2,2,6,5,2,4,2,1,3,1,3,3,4,1,4,6,5,2,3,1,2,3,7,2,1,2,1,6,3,2,0,7,1,4,3,5,0,3,3,1,1,1,0,3,1,1,1,3,1,2,2,4,1,3,0,1,2,4,1,2,1,1,1,1,3,3,2,0,0,1,0,2,3,1,0,4,0,1,1,3,0,1,1,1,0,1,0,3,2,7,4,2,6,3,3,4,4,3,6,7,0,4,0,1,5,5,4,3,3,3,1,2,2,5,9,5,3,4,0,4,4,1,4,1,1,0,0,2,1,1,2,1,0,1,1,2,2,3,1,2,2,2,2,2,4,2,1,0,2,2,3,3,1,0,2,1,1,3,2,1,2,4,1,1,1,0,1,1,3,2,0,1,3,1,3,0,1,1,2,1,1,4,0,2,0,0,1,3,0,3,2,1,5,2,2,2,0,4,2,2,5,1,3,2,0,1,3,0,2,5,2,1,3,3,1,2,3,1,1,3,6,2,2,1,1,4,2,3,2,4,0,1,1,0,2,2,2,1,1,2,5,0,4,2,0,2,3,2,1,3,2,0,4,0,2,1,3,3,1,3,1,1,2,5,1,3,2,3,2,0,0,1,3,1,2,2,3,1,0,1,2,2,0,0,1,0,2,2,2,1,3,3,3,3,0,4,2,3,3,2,3,2,3,2,2,0,6,1,3,2,2,6,4,3,0,4,3,3,6,7,4,3,1,1,3,2,3,2,2,2,2,2,2,1,3,4,1,2,1,1,2,3,0,1,3,3,4,2,1,1,3,2,4,1,1,3,2,4,1,1,1,8,2,4,4,0,2,4,0,3,2,5,2,1,6,3,0,6,3,2,1,2,1,1,2,1,1,0,3,0,1,4,6,1,0,2,2,0,1,0,1,3,3,2,3,6,1,3,3,5,1,0,6,1,4,5,4,4,3,2,3,4,3,5,2,4,3,4,3,3,0,3,2,2,4,3,2,1,3,4,3,2,1,2,0,1,1,2,4,2,0,4,3,3,3,3,1,3,1,1,3,5,2,1,4,2,0,2,3,3,2,3,1,3,4,3,0,3,1,1,2,0,0,3,3,3,4,3,2,3,0,1,0,3,1,1,1,2,0,2,0,0,0,2,3,2,2,6,2,2,1,3,3,2,1,5,3,1,1,4,0,0,3,5,6,7,6,3,6,3,1,2,5,1,4,7,3,3,3,2,3,0,1,2,1,1,3,1,1,2,2,3,3,2,3,3,3,1,5,3,3,3,0,1,1,1,2,5,1,3,3,2,0,0,6,1,2,1,3,3,3,1,3,0,0,4,1,2,0,0,1,1,1,0,3,2,2,1,1,3,4,2,1,2,1,2,3,1,2,3,3,7,2,0,2,5,0,1,5,3,5,3,3,3,1,2,2,5,4,2,3,4,4,4,0,2,4,1,5,1,1,2,2,2,4,2,7,4,1,2,4,1,3,3,2,3,1,3,3,3,4,3,4,2,1,1,4,3,5,1,3,3,4,2,1,5,1,0,6,1,4,3,4,0,1,4,2,4,3,5,2,2,2,4,4,3,0,3,1,1,2,0,1,1,2,0,1,1,2,1,0,2,3,2,0,3,1,1,3,4,2,2,2,5,2,10,0,1,4,4,2,3,4,2,1,4,5,1,5,4,4,4,5,5,2,3,3,2,2,3,3,2,3,5,2,1,2,3,3,3,4,3,2,2,2,2,2,2,3,4,3,0,3,2,3,2,3,2,3,4,1,4,2,3,1,3,5,4,3,3,1,3,3,2,3,3,1,1,2,2,0,1,2,2,1,1,2,3,0,4,3,1,2,3,1,3,4,5,1,3,0,1,1,5,2,3,2,4,5,2,9,4,5,3,2,6,1,6,3,2,4,3,7,6,6,0,0,5,2,6,3,5,1,1,1,4,1,7,1,5,1,1,5,3,1,2,1,2,6,4,3,1,0,1,3,4,2,6,2,3,3,6,4,4,7,3,7,3,4,6,1,6,0,4,5,2,1,2,1,0,2,2,4,3,1,5,2,2,2,1,1,3,4,3,2,4,3,2,1,6,5,2,3,5,5,4,2,0,2,2,6,3,1,3,2,0,5,5,2,7,3,3,6,4,4,3,1,5,5,6,2,5,4,6,3,4,1,4,2,2,2,5,6,2,4,1,1,2,3,0,1,3,1,1,3,3,2,0,1,4,4,3,4,2,6,0,1,1,3,2,6,6,3,4,5,5,2,5,2,2,6,2,3,4,5,4,2,2,3,0,0,2,0,3,4,3,1,4,2,3,2,5,1,2,3,7,4,1,0,5,4,2,1,1,7,2,4,4,6,5,2,6,3,4,2,1,2,5,3,1,4,4,3,3,4,3,1,3,8,6,4,2,5,4,8,5,3,3,1,6,4,2,0,2,0,4,9,2,3,4,7,7,1,4,4,2,3,4,4,3,1,1,5,2,4,3,2,3,5,5,4,6,4,3,3,5,2,5,2,1,0,3,3,5,1,3,3,5,1,0,2,3,3,3,6,1,3,3,3,0,2,4,5,1,2,3,1,2,4,2,5,1,2,4,6,4,3,5,2,3,2,5,2,3,4,5,4,3,10,2,2,5,1,4,5,6,3,2,7,2,6,3,0,4,2,5,2,2,1,3,5,1,1,4,0,2,5,1,1,2,1,3,7,5,3,2,4,1,3,2,0,4,4,3,6,4,2,6,3,5,4,3,4,3,2,4,1,2,3,4,1,5,5,1,3,4,3,3,3,2,3,4,3,1,2,5,1,0,1,4,4,2,6,2,6,6,1,6,2,0,3,2,3,4,5,4,1,3,3,4,9,6,7,2,2,2,5,1,4,2,2,3,2,3,4,3,4,1,2,2,2,2,3,1,6,5,3,2,2,1,5,4,2,1,6,0,6,7,3,4,2,1,1,6,2,3,7,1,4,4,2,2,2,3,1,3,4,2,4,2,0,6,6,5,3,3,3,2,5,3,2,2,4,4,5,5,2,1,1,3,2,4,5,1,1,2,0,3,2,3,0,4,2,2,5,2,4,4,0,1,5,5,1,2,4,2,6,6,6,4,3,1,3,1,2,1,4,2,3,3,2,2,4,3,4,1,3,1,1,3,4,1,3,0,1,1,4,5,5,5,2,4,1,3,4,3,0,4,3,2,8,3,0,2,4,4,5,3,4,7,5,4,8,2,5,4,4,4,7,2,4,3,5,7,4,4,4,3,1,4,1,0,3,1,1,4,3,3,2,2,2,2,5,2,1,2,1,4,1,2,5,5,0,3,4,1,3,2,4,5,3,5,2,4,4,5,2,1,2,4,2,11,9,3,4,3,2,3,2,3,6,1,3,2,0,2,1,1,1,2,3,3,4,2,1,3,0,6,3,2,4,1,4,4,3,3,4,3,6,3,11,8,7,4,2,1,6,6,1,8,1,3,2,1,3,2,6,8,5,3,1,6,3,4,3,1,2,4,2,0,2,1,2,3,3,2,2,2,3,0,0,2,3,6,1,2,2,2,3,1,3,2,0,3,1,1,3,3,4,3,4,4,2,5,2,3,1,4,4,3,2,2,6,4,4,4,4,1,2,1,2,0,1,1,2,3,2,2,5,1,5,1,3,4,3,1,5,1,3,5,5,5,4,3,7,3,2,8,5,3,2,5,0,3,1,7,4,3,2,6,7,2,10,5,3,4,3,4,2,3,0,1,0,3,0,8,1,0,0,1,4,0,1,5,1,3,3,3,3,3,0,2,2,3,2,6,1,2,3,1,5,1,4,1,3,1,1,2,2,10,1,3,3,6,0,6,2,2,6,2,3,0,1,1,2,0,3,0,1,1,3,2,1,4,3,2,2,5,5,4,0,1,3,1,1,2,2,4,3,4,4,2,5,1,3,5,0,3,2,4,6,4,5,4,3,3,3,5,7,4,3,3,2,1,1,0,0,1,3,2,2,0,0,3,2,1,0,3,3,1,1,1,2,2,1,3,1,3,0,1,2,2,4,3,1,2,3,4,2,1,3,2,3,0,0,4,1,4,2,1,3,0,4,5,3,1,1,1,1,3,0,0,2,2,4,6,3,3,1,1,4,4,2,2,1,1,3,1,4,3,1,4,2,3,1,3,3,3,2,3,2,6,4,5,1,5,4,3,5,3,5,3,1,5,4,3,2,1,0,1,1,0,1,0,2,0,2,0,1,3,2,1,0,1,1,1,0,3,1,1,4,0,0,5,1,2,0,3,3,2,1,1,1,1,1,2,1,1,4,3,4,5,0,2,1,1,1,0,0,0,1,0,2,1,0,2,1,1,0,0,3,3,2,7,3,0,2,2,2,0,2,0,1,1,2,3,3,5,3,4,1,1,7,5,1,3,2,2,6,4,4,2,3,3,2,4,3,4,5,7,0,0,1,1,0,2,0,3,1,2,0,0,0,2,2,0,1,3,1,3,1,1,3,1,1,0,1,0,3,1,1,2,0,1,0,1,1,4,1,4,0,2,2,0,4,2,1,1,3,3,0,3,3,0,0,1,1,0,0,2,2,1,0,1,1,5,3,1,0,2,4,2,1,1,4,3,2,2,5,1,2,3,3,2,2,3,4,3,0,4,1,1,3,1,0,4,5,2,4,3,2,2,4,1,0,1,2,1,1,0,0,0,0,1,1,2,3,0,0,1,0,3,1,2,1,1,2,2,0,0,1,4,1,3,0,1,3,1,0,1,0,1,0,1,3,2,2,1,0,1,1,1,2,1,2,0,0,1,0,0,2,1,1,0,3,1,0,3,3,0,4,3,2,4,2,2,1,0,1,1,1,1,3,3,3,1,2,0,2,1,3,2,3,2,0,3,0,2,3,7,1,2,2,1,3,2,1,2,1,0,0,0,1,0,1,1,0,0,1,0,0,2,2,0,0,3,1,0,1,3,2,2,2,0,0,0,1,0,0,3,0,0,0,3,1,3,1,0,2,0,1,0,0,2,3,0,1,2,1,1,0,0,0,0,0,0,1,0,1,2,0,2,2,2,1,1,0,1,1,1,0,2,0,1,1,3,0,3,1,4,4,3,3,4,4,2,1,3,1,3,4,1,1,2,4,2,3,1,3,3,5,2,1,0,1,0,0,0,1,1,2,0,2,1,0,0,0,1,2,2,0,1,0,1,0,0,0,0,0,2,1,0,1,1,0,0,1,2,1,1,1,0,0,0,0,0,1,2,0,4,1,1,1,1,0,0,0,0,0,2,2,0,1,0,1,0,1,1,1,0,0,2,1,2,2,2,1,0,2,3,0,1,1,1,0,1,1,2,2,2,0,2,3,1,2,1,0,1,2,5,0,2,2,4,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,2,1,1,0,1,0,0,1,1,0,1,0,0,1,3,2,2,0,0,1,3,3,1,1,2,1,1,2,0,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,2,3,1,1,0,2,1,1,1,2,0,1,1,2,1,3,4,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,3,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,0,0,2,0,0,0,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,1,1,0,0,0,1,0,2,0,0,0,2,2,2,2,1,3,3,4,2,1,0,2,5,0,0,1,0,1,0,1,97,96,83,91,74,87,76,90,80,63,94,97,94,90,82,102,84,93,75,108,100,103,84,86,100,88,82,104,107,84,89,97,80,85,84,81,91,73,76,85,73,101,88,75,78,97,65,92,85,73,76,79,75,54,77,61,60,58,54,58,81,58,67,77,83,89,65,84,67,71,89,75,58,77,94,71,68,76,81,69,77,88,66,80,72,64,84,80,55,91,60,88,76,72,67,80,95,78,79,96,70,83,74,96,1,0,0,2,0,0,1,1,1,0,1,0,0,2,2,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,2,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,1,2,1,0,0,0,0,0,0,3,0,0,2,0,1,0,3,0,0,0,0,0,0,2,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,1,2,0,1,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,2,1,0,0,1,2,1,1,1,1,2,0,0,0,0,3,0,1,2,1,0,1,0,1,0,1,0,3,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,1,1,1,1,1,0,2,0,0,0,0,1,0,1,0,0,1,0,0,3,1,1,0,1,2,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,2,0,2,0,1,0,0,1,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,3,0,0,1,0,1,2,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,3,0,1,0,0,0,0,2,1,0,1,0,0,0,2,2,1,1,2,2,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,2,0,1,3,1,1,1,0,1,2,0,2,0,0,1,0,0,1,1,1,3,0,1,3,0,0,2,0,0,0,3,0,0,0,1,1,0,1,0,1,0,1,0,0,1,2,4,1,1,0,0,0,1,1,1,1,2,0,0,1,0,1,0,2,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,1,0,0,1,2,0,1,0,0,0,0,3,0,2,1,0,2,1,0,0,2,2,0,0,1,0,0,2,1,1,1,1,2,1,2,0,3,0,1,2,0,1,2,1,0,0,0,0,0,1,0,1,1,2,1,1,1,0,1,1,1,0,1,0,0,1,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,2,0,2,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,1,0,1,1,0,1,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,3,1,0,3,1,2,1,3,1,2,0,1,1,0,0,2,1,0,0,0,0,1,2,2,1,1,2,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,2,2,1,3,1,1,2,0,1,0,2,2,2,2,1,1,0,1,1,2,0,0,1,1,1,0,0,0,1,1,2,0,0,3,0,3,1,0,1,1,5,4,2,2,1,1,3,2,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,2,0,1,2,1,0,0,1,2,1,0,0,0,2,0,1,0,1,2,3,1,0,0,0,0,1,0,0,1,0,3,1,1,2,1,1,2,2,1,2,3,0,2,1,0,2,2,0,1,0,0,0,0,0,0,1,0,0,3,1,1,0,1,2,0,0,2,0,0,0,2,0,0,0,1,2,3,0,2,1,1,1,1,1,1,2,1,1,2,0,0,0,1,0,1,1,0,1,2,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,2,0,0,1,1,1,1,0,0,0,0,1,1,2,0,0,3,1,3,1,3,0,0,0,1,1,4,2,2,0,1,1,0,2,1,2,1,1,1,2,2,0,1,0,0,1,0,0,0,1,1,1,2,0,2,0,0,1,1,0,1,0,1,1,2,2,0,1,0,0,2,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,1,0,1,1,2,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,2,0,0,1,4,2,0,5,1,2,2,1,1,0,1,1,0,1,0,5,1,0,3,1,2,0,2,1,1,1,1,1,0,0,0,4,0,0,0,2,0,2,1,1,0,2,1,3,0,2,2,2,2,0,0,0,1,0,2,3,3,2,0,1,1,1,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,2,1,0,2,3,3,1,2,2,2,0,1,2,0,2,3,0,2,1,1,3,1,0,1,4,0,1,0,0,1,1,1,0,1,1,2,2,1,2,0,2,1,2,3,0,2,3,1,0,3,0,1,1,0,0,0,2,1,1,1,1,1,1,4,2,0,0,2,1,0,0,1,3,1,1,1,1,0,1,0,2,0,1,0,1,1,2,0,0,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,2,1,0,1,2,3,3,2,2,1,2,0,3,0,1,2,0,2,2,2,3,1,2,1,1,1,2,3,1,1,1,2,3,0,0,4,3,0,4,1,3,2,3,3,0,2,2,1,1,1,2,3,2,2,1,1,1,0,0,0,2,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,2,1,1,2,2,0,1,1,1,1,1,0,1,1,0,1,1,0,3,1,0,0,1,3,3,2,2,1,2,0,2,5,0,0,2,2,2,2,3,0,2,3,1,0,0,0,2,2,0,1,1,2,2,2,0,2,2,3,2,2,1,3,3,0,3,1,0,5,1,0,4,1,4,1,5,0,0,2,1,1,1,0,1,1,0,0,2,0,2,2,0,2,0,1,1,2,0,0,1,0,3,0,0,0,1,0,2,1,2,2,0,1,0,2,1,0,3,2,2,0,3,2,3,2,1,1,2,0,1,1,4,1,4,0,1,2,0,3,0,1,0,2,5,4,1,1,3,0,1,2,2,1,2,3,3,2,0,0,0,0,2,1,2,2,2,0,2,2,1,0,2,5,1,1,1,2,1,2,1,0,3,4,0,1,0,1,1,1,1,1,0,1,0,0,1,1,2,2,0,2,1,1,0,0,0,2,0,2,0,0,2,0,0,0,1,2,1,2,0,1,0,0,7,1,2,3,1,2,1,2,1,2,3,2,2,2,3,2,1,1,3,2,3,0,3,5,2,2,3,2,2,2,2,0,1,3,3,1,1,2,1,0,0,2,0,2,2,1,3,0,2,1,0,2,0,4,0,4,0,3,1,0,1,1,1,2,2,3,0,1,3,2,3,0,2,2,1,0,2,1,2,1,1,0,1,0,2,0,2,0,2,2,1,0,2,1,0,0,1,0,2,1,1,1,1,0,4,1,0,1,1,1,2,1,0,2,3,2,4,1,2,1,2,3,3,4,1,2,2,2,1,1,2,2,1,1,0,1,2,3,0,1,5,1,0,0,0,1,0,1,1,0,0,1,2,1,2,0,1,2,5,0,3,3,0,0,4,1,1,1,0,1,0,4,1,0,0,0,2,0,3,1,0,2,0,2,0,1,2,2,1,2,0,1,0,2,1,1,1,1,2,0,1,2,3,2,0,0,3,1,2,1,3,1,2,3,4,5,3,2,3,2,2,3,2,2,3,3,3,0,4,2,1,1,1,2,3,1,0,7,3,1,2,5,2,0,1,1,0,2,1,3,1,2,2,3,3,1,2,1,3,2,2,2,1,1,0,0,2,1,1,0,0,2,0,1,2,2,0,1,0,0,0,1,1,3,0,1,2,1,1,2,1,0,0,0,2,0,2,1,0,1,1,1,3,2,0,0,1,1,1,1,2,2,3,2,2,1,2,2,3,2,2,0,2,3,4,0,4,2,2,3,4,0,1,1,3,2,3,3,3,3,2,2,2,5,3,2,1,3,4,2,2,3,1,1,2,0,4,2,5,2,1,0,2,3,2,1,2,0,2,1,0,2,4,2,3,1,4,2,1,1,3,2,1,0,2,0,1,1,1,0,1,1,1,2,3,2,2,2,0,2,1,0,0,0,0,3,2,1,1,0,0,1,0,2,0,5,2,0,1,3,1,5,5,1,4,3,0,0,2,2,5,3,3,2,3,1,4,0,4,1,3,4,2,1,0,3,1,1,3,0,4,1,4,1,2,2,1,3,2,1,2,3,4,0,1,3,2,1,4,1,2,0,3,1,0,2,1,2,1,1,3,1,2,4,2,0,0,1,1,3,0,0,1,3,1,1,2,2,4,2,3,4,1,0,3,1,3,0,1,1,1,1,0,0,0,1,4,1,0,0,3,2,1,3,4,2,3,4,1,6,3,5,1,2,1,2,4,6,1,2,1,1,1,1,1,4,2,2,2,1,1,1,1,5,2,3,1,2,0,1,4,0,1,2,2,3,5,3,1,2,1,2,3,1,0,2,2,2,2,2,2,3,1,1,3,2,1,3,2,5,1,5,0,3,2,2,2,0,1,1,0,2,1,4,3,1,1,4,0,0,1,2,5,3,1,2,2,0,1,0,1,2,1,3,2,0,1,1,1,5,1,4,0,1,3,3,3,4,6,9,1,4,4,4,5,3,3,1,2,3,1,3,2,1,2,2,2,3,4,1,2,2,2,2,1,1,0,0,1,3,1,1,1,2,0,7,3,3,1,1,0,3,2,2,2,2,1,2,2,3,2,1,5,4,1,2,4,3,4,0,2,1,1,1,0,4,1,1,2,2,1,1,0,1,3,2,1,1,1,1,3,0,0,1,1,0,0,0,2,2,1,2,3,0,2,2,3,2,1,1,1,3,2,2,2,2,3,1,4,2,3,2,2,7,1,1,3,3,4,0,1,1,2,3,2,1,3,2,1,3,2,3,3,0,2,2,3,4,3,3,0,2,2,2,2,2,1,4,1,5,5,1,3,4,3,5,2,2,3,1,0,3,1,0,3,1,1,1,2,2,2,3,2,2,3,0,1,3,3,0,4,2,1,2,2,1,4,1,6,1,0,2,1,0,4,1,0,0,3,3,2,1,1,4,4,2,4,1,7,5,1,2,3,1,2,4,7,5,1,6,4,4,2,4,6,3,6,4,5,1,0,2,1,7,1,2,1,0,4,2,1,1,1,5,4,1,3,1,1,4,2,0,2,0,0,2,2,3,4,2,4,2,2,3,2,2,2,2,5,5,3,2,2,2,1,2,2,2,6,2,4,1,2,2,0,2,1,1,1,3,0,3,1,2,4,2,2,1,0,4,4,1,1,6,3,5,2,0,2,2,7,4,2,3,3,2,4,0,1,2,4,2,3,1,5,5,2,5,1,0,1,6,3,3,5,6,2,6,3,0,3,3,3,0,3,1,2,4,4,2,2,2,2,2,2,2,2,1,3,0,4,4,3,5,0,1,3,4,2,3,7,1,4,3,2,1,6,3,2,2,1,3,4,3,4,0,2,3,2,3,5,1,5,0,5,2,1,1,1,3,2,4,2,0,2,1,1,2,1,5,5,4,4,3,3,1,3,2,4,2,5,2,0,3,3,2,3,4,3,3,3,2,1,3,4,0,3,2,0,2,2,2,2,1,1,0,2,3,6,1,3,0,1,2,6,1,0,1,3,0,0,2,2,1,3,2,1,0,3,0,4,1,2,1,1,3,2,4,0,0,4,5,2,2,3,6,3,1,3,3,5,2,2,4,2,2,1,2,3,4,2,2,1,5,2,5,5,1,2,3,4,0,1,2,5,4,4,5,0,4,5,2,5,3,1,1,1,4,3,1,4,1,2,5,4,6,3,1,1,2,3,6,4,4,6,2,3,2,4,0,4,2,4,2,1,0,4,3,6,2,2,2,2,2,3,3,0,5,5,4,4,3,1,1,5,7,2,4,2,4,0,2,0,5,0,3,5,1,3,2,4,2,3,4,3,10,3,1,1,3,3,2,3,2,1,4,2,2,6,3,2,1,0,3,3,2,0,1,2,1,1,0,2,1,5,2,2,4,3,6,2,1,3,4,4,2,7,3,4,1,3,2,5,3,2,2,6,1,2,3,7,1,2,1,3,5,3,1,4,0,2,1,2,2,2,4,4,1,4,1,1,4,3,0,2,2,7,7,1,4,1,2,0,3,1,0,1,1,0,2,7,3,2,5,5,3,3,1,4,0,3,3,4,2,4,3,3,1,2,2,2,3,2,4,0,2,0,3,1,5,2,0,1,1,1,4,4,5,1,3,4,2,4,2,2,3,4,2,3,4,2,4,3,3,1,2,0,1,4,7,2,2,3,5,4,1,7,2,4,2,2,3,1,6,2,5,1,3,1,3,1,2,2,1,0,4,5,3,5,2,5,4,2,3,3,3,3,3,3,3,2,2,1,3,4,4,3,5,7,5,2,3,7,1,1,0,4,4,2,0,3,0,3,0,1,2,2,1,1,3,2,0,1,2,2,3,2,2,3,1,4,1,3,2,3,0,1,1,3,0,2,2,3,4,0,3,4,4,3,5,6,2,2,2,0,2,7,2,5,1,2,5,1,0,3,3,3,3,1,6,3,0,2,2,7,1,1,0,1,4,3,4,4,4,5,7,2,2,1,3,7,0,2,5,4,4,4,3,3,3,2,4,2,3,5,1,2,3,4,3,2,4,1,3,1,1,1,0,1,1,1,6,2,3,2,3,4,1,2,1,3,3,1,3,2,2,1,1,1,0,1,3,6,1,5,4,3,2,0,5,3,3,3,1,4,2,1,2,2,2,6,1,3,5,6,9,3,3,3,0,2,4,0,2,1,1,2,6,1,0,4,0,2,1,1,3,2,2,1,1,2,3,2,4,2,5,6,2,1,1,4,3,5,2,4,4,1,5,1,6,1,2,4,1,1,8,5,7,5,2,2,3,1,5,3,3,1,0,2,3,4,0,2,3,1,0,1,2,0,1,3,2,1,1,1,3,1,3,2,2,3,2,2,1,5,1,1,1,2,2,7,3,2,2,3,3,1,2,7,3,2,2,3,4,1,3,4,2,0,1,1,3,1,1,2,1,2,3,3,3,1,3,2,3,5,4,2,1,5,1,2,0,1,4,3,0,2,2,5,3,3,1,5,3,2,2,2,2,2,4,4,5,5,4,2,5,3,3,1,0,0,0,1,0,1,2,5,4,2,1,0,3,0,1,3,4,3,2,1,3,0,0,0,2,1,1,2,2,4,2,4,0,4,4,1,1,1,0,0,1,0,2,1,5,2,0,1,3,1,4,4,2,1,2,4,0,0,1,3,1,2,2,2,3,2,1,4,6,2,1,1,4,4,2,3,3,3,1,2,1,1,2,4,6,2,4,5,2,2,5,0,6,1,5,4,5,2,4,3,4,1,0,4,4,3,0,3,0,1,1,1,1,1,1,1,3,0,1,2,2,1,1,0,2,0,0,2,4,2,2,1,1,2,0,2,6,1,0,5,2,2,4,3,0,1,3,2,3,1,2,2,2,3,1,2,5,0,0,1,2,2,0,2,0,3,2,3,0,1,3,0,3,1,3,1,3,2,0,1,1,5,2,0,0,3,6,4,3,0,1,5,1,2,1,3,2,4,1,5,5,3,5,2,3,6,3,6,1,1,2,1,2,0,0,2,1,1,0,2,1,0,1,2,1,0,2,4,2,0,0,1,1,0,2,1,0,1,2,3,3,1,4,1,3,4,4,0,3,3,1,1,6,1,3,1,2,4,3,2,2,0,0,0,0,0,2,1,1,3,4,4,0,2,1,1,0,4,2,2,1,2,4,2,3,2,3,1,5,6,4,2,3,3,0,3,3,6,1,4,4,3,0,0,1,2,3,3,1,7,1,2,5,0,1,2,1,2,1,1,1,4,1,0,3,0,1,0,1,2,0,0,0,1,1,1,0,1,0,2,1,1,3,1,0,0,1,2,4,0,1,1,4,2,1,0,2,1,4,3,0,1,1,0,0,1,1,0,3,0,1,0,2,1,0,0,1,2,1,2,1,4,4,0,1,1,5,1,3,2,5,1,0,2,2,4,6,1,2,2,2,0,2,2,6,4,1,5,1,4,1,2,5,4,3,1,4,2,0,0,3,1,2,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,2,0,3,4,1,1,1,2,4,2,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,2,1,1,2,0,3,2,2,1,3,0,2,4,0,2,1,0,1,1,0,1,0,1,1,1,3,2,4,3,5,4,4,3,3,3,0,3,1,2,2,0,0,0,1,2,1,0,2,0,0,0,1,2,0,1,1,0,1,0,3,0,1,2,1,2,0,3,0,0,2,0,0,0,0,0,0,1,4,0,0,2,1,2,3,2,5,1,1,3,1,4,3,3,1,0,0,1,1,0,0,0,1,2,3,1,0,3,2,1,1,2,3,0,3,1,2,2,1,1,4,3,2,3,3,1,1,2,1,4,2,3,0,1,5,5,2,1,0,1,3,2,2,4,3,2,0,0,0,0,2,0,0,0,2,0,1,3,3,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,1,2,0,3,1,2,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,2,1,2,0,1,0,1,0,1,5,2,0,2,3,2,0,0,2,0,3,2,1,2,1,2,2,0,1,0,0,2,3,0,3,4,1,1,3,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,2,0,0,1,1,1,1,1,0,1,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,4,0,0,1,1,2,0,0,1,1,3,1,2,2,2,2,1,0,2,0,2,1,0,4,4,0,3,2,0,1,2,1,2,0,0,1,3,2,1,4,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,2,2,0,0,0,0,3,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,3,0,0,0,1,0,2,2,1,1,0,2,3,2,1,1,0,2,1,0,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,1,0,2,0,0,1,1,1,0,2,1,1,1,3,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,2,0,0,0,1,0,1,3,0,0,1,0,0,0,0,1,0,0,0,3,1,4,2,0,0,0,0,1,1,0,0,3,1,2,54,62,63,67,68,76,62,65,77,63,72,83,79,70,72,78,74,55,73,64,69,57,81,83,77,69,59,77,72,72,70,70,71,65,81,82,69,75,73,86,73,66,82,89,79,60,84,65,72,81,71,78,58,40,38,70,59,42,62,41,51,66,72,71,61,71,69,66,68,68,50,53,77,54,60,74,54,57,57,67,77,65,71,78,69,62,73,64,76,61,82,74,79,70,73,67,73,62,58,57,69,67,83,73,0,0,0,0,1,1,0,2,0,1,0,1,0,0,1,2,0,3,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,3,0,0,0,1,2,2,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,1,0,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,1,1,0,2,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,3,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,3,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,3,0,1,0,1,0,0,1,0,0,1,3,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,3,0,1,0,0,0,0,1,0,1,3,1,1,2,1,2,0,0,0,0,0,0,0,2,0,1,0,1,0,1,1,2,0,1,0,0,1,2,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,2,3,0,2,2,1,2,0,1,1,2,2,1,1,1,1,1,0,2,2,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,2,1,0,2,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,2,0,3,0,0,0,2,0,3,0,1,0,1,0,1,1,2,1,2,0,1,0,0,1,0,2,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,3,0,0,1,0,0,1,1,3,0,0,3,2,2,0,1,2,0,1,2,1,0,0,0,1,0,1,1,1,0,3,0,1,0,1,1,1,0,1,1,1,1,0,0,3,1,0,0,0,2,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,1,1,0,2,1,1,1,0,0,0,2,0,2,0,1,0,1,0,4,3,1,0,1,0,0,2,1,0,1,0,1,3,1,0,0,1,2,0,3,0,1,0,1,1,1,0,1,0,1,0,0,0,0,2,2,0,2,2,2,2,0,2,1,1,0,0,1,2,2,0,2,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,3,0,1,0,2,0,2,0,1,1,0,1,3,1,2,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,2,1,2,2,1,0,1,0,0,0,1,0,0,0,0,2,0,1,0,3,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,2,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,2,3,2,4,1,3,3,0,3,1,1,0,1,3,2,0,1,5,0,2,0,1,1,0,1,0,1,1,0,2,0,2,0,1,1,1,0,0,0,1,0,1,0,2,2,3,0,1,1,1,2,1,0,2,0,1,1,0,2,0,2,1,0,0,0,3,2,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,1,6,4,1,1,1,0,1,2,0,1,1,3,0,2,1,0,1,0,1,1,0,2,1,4,3,2,0,1,0,1,0,2,0,1,0,0,0,1,0,1,2,1,1,2,1,0,0,2,1,1,1,1,1,0,1,0,2,0,0,1,0,0,1,0,1,1,0,2,1,1,2,1,0,2,1,0,0,0,0,2,1,1,0,0,1,1,1,1,2,3,0,3,2,0,0,1,1,1,0,0,0,3,2,2,0,3,0,2,2,0,1,3,2,2,2,3,1,1,0,2,1,0,1,1,0,1,1,1,4,1,1,1,2,0,2,0,0,0,5,1,1,1,1,2,2,1,0,1,1,0,0,0,2,0,2,1,4,4,0,0,1,2,0,2,1,2,2,1,0,2,0,1,1,0,1,2,0,0,1,1,1,1,0,0,0,1,0,2,1,0,2,1,1,2,2,0,1,2,0,0,1,0,0,3,1,3,0,3,0,4,0,2,0,4,2,2,0,2,2,1,4,4,5,2,3,0,2,1,2,3,0,0,0,0,1,3,0,1,4,1,2,1,1,2,4,0,0,1,2,1,1,2,1,2,0,1,1,1,1,2,1,0,0,1,1,0,2,0,1,0,1,1,1,1,0,1,0,0,2,0,0,1,0,0,1,0,1,0,3,0,0,1,0,1,0,2,1,0,1,0,0,1,1,0,0,3,0,5,1,2,0,1,0,3,3,1,2,3,0,2,4,3,1,2,2,1,3,1,2,2,1,0,2,1,0,1,1,1,3,0,2,0,1,2,1,2,1,0,1,2,1,2,1,0,0,1,1,0,2,0,0,2,2,5,2,3,0,0,0,2,1,0,1,0,1,2,1,1,0,1,0,2,0,1,3,0,1,1,1,1,1,2,0,1,3,0,0,0,0,2,1,0,0,2,1,1,2,1,1,0,1,2,0,4,2,2,1,1,2,2,3,4,5,1,5,4,1,2,2,5,0,2,1,6,4,0,0,6,3,1,2,0,1,2,2,1,0,1,1,0,1,0,1,0,0,0,2,3,1,2,1,4,1,0,3,1,2,2,1,1,0,0,0,2,0,0,2,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,3,1,0,1,1,0,0,1,1,0,1,1,1,2,0,1,0,0,1,0,2,0,1,4,0,2,4,1,2,1,0,4,2,1,1,2,2,5,3,1,2,1,1,1,5,3,2,4,3,0,2,1,2,0,3,2,1,2,3,1,1,1,0,0,0,1,2,0,1,0,2,2,2,1,2,1,2,1,0,0,2,1,1,2,0,3,0,1,4,0,2,1,2,1,1,0,0,0,2,2,3,0,1,1,0,0,0,0,0,2,2,1,1,0,1,1,2,2,0,1,0,2,2,1,1,2,0,2,2,2,5,2,1,2,2,1,1,5,5,2,3,1,5,2,2,3,3,4,0,2,0,1,3,5,1,3,3,0,1,1,2,0,1,1,1,2,3,3,1,1,1,2,2,1,1,1,4,5,1,1,0,3,4,0,3,2,1,0,3,0,4,0,1,0,1,1,2,3,0,1,1,1,0,0,2,0,4,1,1,4,3,2,1,0,1,2,0,1,1,0,0,2,0,1,2,0,1,1,1,3,1,2,6,4,1,4,3,2,1,7,4,5,2,3,2,2,3,2,2,4,3,2,3,1,1,3,2,2,1,1,0,4,3,1,2,0,0,3,0,2,1,1,2,1,2,1,1,2,0,0,4,2,1,2,3,4,1,2,4,3,1,3,0,1,1,3,2,2,2,2,1,2,0,1,0,2,1,0,4,1,2,0,0,1,3,0,0,0,2,0,0,2,0,1,1,0,0,1,4,0,0,0,1,0,1,4,3,2,2,4,2,3,2,6,1,3,2,4,6,4,3,5,4,2,2,5,1,4,4,1,2,2,1,2,1,3,5,1,0,3,1,2,3,3,0,2,0,3,3,0,0,1,3,1,1,1,0,6,2,3,2,0,2,2,0,0,5,1,1,1,1,3,0,3,1,1,1,0,2,1,0,0,2,1,2,1,0,2,3,1,1,0,2,1,1,1,0,0,0,0,0,1,0,0,2,0,0,2,0,1,1,6,3,0,1,4,6,4,3,2,2,3,0,1,3,5,2,4,7,2,3,4,4,0,4,1,4,5,2,4,1,2,1,0,2,1,1,0,1,0,1,3,3,3,1,0,2,1,2,2,3,6,2,4,4,1,2,2,3,2,1,2,0,1,2,2,2,3,2,3,2,0,0,1,2,0,1,2,2,1,1,3,1,1,2,0,4,3,3,2,0,2,0,1,0,1,4,0,0,0,1,0,2,5,5,1,3,5,4,4,2,2,0,2,7,2,4,4,7,3,3,5,2,6,1,2,2,5,4,2,2,3,0,1,2,1,2,1,0,3,2,1,0,1,2,2,2,3,3,0,1,3,3,2,3,2,2,2,1,4,3,1,2,2,2,3,6,2,4,2,0,1,3,2,1,1,0,1,5,1,1,2,2,1,2,1,1,2,3,1,2,0,1,4,1,2,3,0,1,0,2,2,1,2,0,2,2,2,6,4,3,1,1,4,1,4,2,5,4,5,1,6,5,3,3,3,5,1,2,6,2,2,1,7,5,2,4,3,4,0,4,0,1,1,2,3,7,3,3,4,1,2,0,2,4,1,1,2,6,0,6,0,4,0,3,4,3,1,0,1,1,4,1,3,1,1,0,1,3,3,3,3,4,2,0,4,1,2,0,3,2,2,3,2,0,1,1,1,1,2,2,0,1,1,1,2,1,1,2,2,2,4,5,3,4,5,2,2,3,7,3,7,6,4,2,6,3,1,3,5,5,4,2,3,4,1,2,7,5,4,2,2,4,1,5,3,2,2,4,3,2,1,5,0,2,2,6,0,6,1,1,4,0,5,2,3,1,2,2,4,1,4,5,5,2,4,2,3,3,1,3,2,2,3,2,2,1,0,5,3,2,2,0,1,0,2,2,0,2,3,0,1,2,1,1,2,6,2,1,1,0,1,1,2,0,5,1,5,3,3,1,6,3,5,1,5,3,4,7,3,6,4,3,1,2,5,1,4,3,3,1,7,2,4,2,3,2,4,1,5,2,6,0,2,0,1,1,2,0,1,1,2,1,0,4,0,1,6,3,7,2,3,4,6,5,1,1,4,1,1,3,4,3,2,1,2,4,2,3,3,4,2,1,1,3,2,2,6,6,4,3,1,1,2,1,1,3,1,3,4,2,1,0,0,2,2,1,1,2,0,2,1,2,5,6,3,3,7,1,7,5,6,5,5,2,3,2,4,3,4,1,7,3,3,1,3,5,1,6,2,5,2,7,3,4,0,4,4,2,2,3,5,0,3,2,1,0,3,1,1,1,3,1,4,5,2,2,2,2,1,2,4,2,2,5,5,2,4,5,3,1,3,2,5,1,1,1,6,4,5,0,3,5,1,2,2,1,0,1,4,1,1,1,0,0,0,1,2,1,0,1,2,1,0,3,4,3,4,2,2,5,3,4,3,1,2,2,5,3,4,7,3,5,3,2,7,6,3,4,7,4,3,3,2,0,5,3,1,1,0,2,2,4,4,0,2,0,4,4,4,3,3,1,4,3,2,2,4,4,3,4,1,6,5,3,2,3,1,5,4,4,3,3,1,3,5,4,2,0,0,1,2,3,0,2,1,3,4,1,4,3,6,3,1,0,3,2,2,1,2,2,2,1,0,2,3,1,9,5,1,1,4,6,3,2,3,3,4,1,6,6,3,6,2,4,4,5,4,6,1,6,6,3,7,0,1,3,2,3,2,6,5,5,1,2,2,1,5,3,1,2,4,3,1,2,0,3,7,4,4,7,2,3,2,4,1,2,2,6,4,3,2,4,3,2,7,0,3,4,1,4,1,2,2,4,5,2,2,3,0,4,1,0,4,4,1,1,1,4,1,1,1,1,5,2,4,0,2,1,1,1,5,0,2,2,2,4,3,5,4,2,4,2,2,3,5,5,3,8,3,3,4,5,3,5,3,9,6,4,2,4,4,5,3,4,5,4,3,4,4,2,1,4,2,3,5,6,4,0,4,1,4,1,8,5,4,3,1,3,5,4,4,3,5,6,3,1,2,2,4,2,3,0,4,6,1,5,4,3,3,1,3,5,5,5,2,4,4,4,3,3,3,2,6,2,1,1,4,5,0,3,3,4,0,5,4,5,2,4,1,4,3,3,3,2,3,6,1,4,4,2,8,5,5,5,6,3,3,4,2,6,4,4,3,2,6,5,3,3,2,2,2,3,0,3,3,5,1,0,3,2,3,3,5,5,3,2,2,3,5,2,5,3,3,0,5,6,4,6,5,4,1,5,3,1,3,4,4,6,7,5,4,6,1,4,4,0,8,2,3,7,5,3,2,5,1,3,3,2,1,3,3,4,2,2,5,4,4,2,1,1,2,3,5,6,2,3,5,6,6,4,4,5,3,4,4,8,4,2,5,3,2,3,4,1,3,3,3,6,4,3,2,5,3,2,4,5,3,3,3,5,4,5,0,2,1,5,4,7,3,5,3,4,6,2,1,3,6,1,2,4,5,4,6,3,5,3,3,1,4,1,4,3,3,5,2,5,0,4,4,3,9,6,4,1,3,5,4,1,2,3,3,0,2,2,6,2,5,1,4,1,3,3,1,3,1,5,2,6,4,5,0,6,3,3,7,3,3,2,3,3,3,2,4,4,0,6,6,3,3,3,7,5,2,4,7,3,3,2,2,4,2,2,2,6,2,6,3,3,4,4,0,5,1,3,1,4,3,5,6,2,3,1,4,3,6,6,3,6,2,4,1,4,4,2,7,12,3,2,4,4,5,3,3,4,8,1,7,8,9,4,3,1,6,3,4,1,6,0,5,3,3,1,5,3,3,1,3,2,5,3,5,3,9,0,0,1,2,4,2,4,1,5,5,5,7,5,5,2,1,4,5,5,5,2,2,5,1,3,4,1,4,2,3,4,2,2,1,2,2,7,3,4,4,6,5,1,2,2,7,4,3,5,5,1,2,1,4,3,6,1,1,8,3,4,2,5,3,2,1,5,2,3,4,3,3,5,0,4,5,3,5,4,3,4,2,3,6,5,2,1,4,3,5,2,7,6,2,4,1,4,2,7,1,1,3,3,5,3,2,6,6,4,4,6,0,5,4,3,3,4,4,1,5,1,2,4,2,1,4,5,4,3,4,2,3,5,4,2,4,6,3,3,7,5,1,4,4,7,8,2,5,2,5,5,2,2,5,4,8,2,3,5,3,4,5,4,3,4,4,3,5,1,4,5,4,5,2,3,3,3,6,8,7,5,3,9,5,0,3,5,3,5,6,5,2,2,7,2,2,4,4,2,1,5,1,2,2,0,2,0,2,4,3,4,5,5,2,0,3,3,2,1,5,6,3,0,5,9,2,5,4,4,5,3,4,1,3,6,2,5,0,3,2,3,2,4,4,3,5,7,5,1,2,8,4,5,6,2,1,1,3,1,1,1,3,6,4,7,4,6,4,3,4,9,6,2,1,6,2,7,5,3,6,1,3,1,6,2,6,5,3,3,2,2,6,3,3,5,4,1,8,3,7,7,3,3,7,5,4,0,3,4,3,2,3,3,0,0,3,0,1,8,1,3,5,1,0,5,2,4,3,0,2,2,0,2,3,3,5,4,3,3,2,3,2,2,3,3,5,4,5,1,5,5,4,2,2,3,2,2,5,3,3,2,3,2,3,2,1,2,3,3,0,2,3,3,2,3,3,1,7,2,4,4,7,2,7,3,2,5,5,2,0,9,7,2,5,5,7,0,7,5,3,4,3,6,2,1,2,5,2,3,3,3,1,4,1,1,0,4,5,3,3,4,4,6,2,0,3,3,3,2,5,2,2,2,1,2,4,2,3,2,3,4,5,2,6,4,1,2,1,3,5,3,0,0,4,4,2,6,1,4,1,2,1,2,1,3,2,3,3,2,0,0,1,0,1,3,4,10,2,6,3,5,3,8,1,3,5,3,3,1,3,0,2,7,6,4,4,5,5,2,5,1,1,1,5,3,2,4,1,4,3,2,2,2,3,4,6,0,1,1,1,3,3,2,3,3,0,4,4,2,3,4,2,4,2,0,3,1,2,5,2,3,6,3,5,2,1,2,2,2,0,1,4,1,6,2,4,3,5,3,3,0,5,1,3,1,1,2,3,2,1,1,4,2,1,3,3,4,0,1,0,2,4,2,1,1,9,1,6,4,5,4,6,2,4,2,6,2,5,5,1,2,3,5,4,7,4,6,5,2,1,1,4,5,4,4,5,5,0,1,1,5,0,3,1,5,2,2,2,0,0,2,2,2,2,1,3,2,1,1,2,2,1,1,2,0,2,1,2,0,2,2,5,1,4,2,5,2,3,2,1,2,0,2,0,1,3,1,0,5,3,2,0,1,1,1,5,0,1,1,1,4,2,2,1,2,2,2,4,3,4,1,4,3,3,2,4,3,1,3,1,5,4,4,5,1,7,5,4,4,3,5,5,6,2,8,1,3,1,0,2,4,1,1,0,0,4,0,0,0,1,1,1,2,1,2,1,1,0,0,0,2,1,1,2,1,2,1,1,0,0,1,0,2,2,0,0,2,0,0,1,1,3,0,4,0,2,2,4,2,2,6,0,2,2,2,1,1,0,1,0,1,0,1,2,1,3,3,0,3,3,1,4,4,2,0,1,1,4,1,2,3,3,4,4,2,5,1,2,5,0,1,3,4,4,1,2,2,2,3,8,2,3,3,4,3,1,1,2,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,1,3,1,1,0,3,1,1,1,0,1,3,0,2,1,1,0,1,3,0,2,1,1,0,2,3,1,0,1,0,1,0,3,3,0,1,0,1,1,0,2,1,1,0,1,0,0,3,1,2,1,2,1,3,4,2,2,4,3,1,2,1,2,3,3,7,2,4,2,5,6,6,1,2,2,2,2,3,4,2,5,5,5,2,5,2,0,0,0,2,0,2,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,3,1,0,1,0,2,0,1,2,0,2,1,1,1,1,1,1,1,1,0,1,3,2,0,2,0,0,0,0,1,5,0,0,0,2,1,3,0,0,3,0,2,0,2,2,1,1,2,0,3,4,2,2,3,3,0,0,1,0,2,2,4,3,1,2,3,2,3,1,6,3,0,5,0,1,2,2,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,2,2,0,0,0,1,0,1,2,0,0,1,0,3,0,0,0,0,0,1,0,0,0,3,0,0,1,0,1,1,1,3,2,1,3,4,0,5,1,0,1,1,1,4,1,2,1,1,2,1,1,0,2,1,3,3,3,1,1,1,2,1,4,1,1,0,3,2,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,3,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,1,0,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,3,1,1,0,0,0,1,1,2,1,0,2,0,0,3,0,0,3,1,1,2,2,2,1,1,0,5,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,3,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,4,2,3,1,1,1,1,0,2,2,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,3,1,1,1,2,1,1,0,0,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,2,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,2,0,2,1,1,0,0,0,1,1,0,0,1,1,2,0,0,0,2,1,0,2,0,1,1,2,2,1,0,2,91,89,93,90,87,88,107,97,103,87,118,97,96,115,110,114,104,103,106,113,106,76,104,101,79,96,108,82,88,94,86,85,84,83,73,76,65,71,79,84,84,83,80,73,77,88,74,75,79,87,87,74,96,87,89,85,71,79,98,63,58,79,88,85,67,93,81,86,83,83,87,62,94,90,76,95,85,85,93,78,71,72,111,97,98,104,86,84,84,75,90,77,87,68,82,62,87,92,76,67,67,71,73,74,2,2,1,2,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,2,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,4,1,2,0,0,0,1,0,0,0,0,1,0,0,1,3,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,3,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,3,1,1,2,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,2,3,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,2,0,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,3,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,3,1,1,0,0,2,1,1,1,0,1,1,0,0,3,1,0,0,0,0,3,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,2,1,0,1,0,0,2,0,1,0,0,2,2,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,2,2,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,3,0,1,0,0,0,0,0,0,1,0,2,0,2,0,0,1,1,2,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,2,2,1,1,2,0,0,3,2,0,1,0,3,0,1,0,0,0,2,0,4,0,2,2,1,0,2,1,0,0,1,2,3,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,0,2,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,2,1,1,0,1,2,2,1,0,0,2,1,0,0,0,1,0,2,1,0,2,1,1,1,0,0,5,0,1,2,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,2,0,2,3,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,2,1,0,0,0,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,2,2,1,1,0,0,1,1,0,2,4,3,1,1,3,0,0,0,0,3,2,1,2,1,1,3,4,0,4,1,0,2,1,2,4,1,0,1,1,3,1,0,0,1,0,1,1,0,4,2,1,1,2,0,0,0,0,0,0,0,0,1,1,1,0,1,2,0,0,0,2,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,1,0,0,1,4,0,2,2,0,1,0,1,1,0,2,1,2,0,1,0,1,0,1,2,2,3,1,3,2,2,0,1,1,0,1,0,1,1,2,0,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,2,0,1,1,0,1,0,0,2,0,0,0,2,0,0,0,0,0,2,1,0,2,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,2,2,1,1,0,3,0,0,0,1,2,0,0,0,1,1,1,0,1,0,1,0,0,3,0,2,0,2,0,2,0,1,2,0,0,2,0,0,1,1,0,1,4,2,0,2,0,0,0,1,2,1,0,2,2,3,1,1,1,1,1,1,1,2,0,1,0,4,2,1,0,0,2,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,1,1,0,0,0,0,0,3,0,0,0,0,2,0,0,3,1,3,0,2,0,1,0,0,2,2,3,0,0,1,2,1,1,1,2,1,0,2,1,2,2,0,1,1,2,0,0,3,1,0,0,1,3,0,1,0,1,0,2,1,0,0,3,1,0,1,3,3,1,0,4,1,2,0,1,0,1,1,0,1,0,0,1,1,1,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,3,3,2,0,4,0,1,3,0,1,2,1,1,0,2,2,1,3,3,2,0,1,3,2,2,1,2,2,2,0,2,1,0,0,3,0,1,0,2,3,1,0,0,1,2,0,0,2,1,1,1,3,3,0,0,1,0,2,0,0,1,0,1,0,0,1,0,0,2,0,0,0,2,1,0,0,0,0,2,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,1,2,2,1,0,0,0,1,1,2,0,1,1,0,2,0,1,1,1,1,0,4,0,0,0,1,1,2,0,3,1,3,0,0,2,1,2,1,1,3,1,0,1,1,0,0,2,0,0,2,1,0,1,2,1,2,3,2,2,1,0,0,2,0,1,1,2,1,1,0,1,2,1,1,0,1,1,0,1,2,2,0,2,2,0,1,0,3,0,1,0,1,0,0,1,0,0,1,0,0,1,1,2,1,2,2,0,0,3,0,0,2,0,0,0,1,1,1,2,2,3,1,3,1,0,0,3,4,0,1,0,1,3,0,2,2,1,1,1,1,2,1,2,2,0,2,1,1,2,1,0,1,3,0,0,1,0,1,2,1,2,3,5,3,0,2,1,3,1,0,1,0,1,2,0,0,3,2,1,0,0,0,0,0,1,1,2,0,1,0,0,1,1,3,0,1,2,1,2,0,0,0,0,1,1,0,0,0,0,3,1,1,0,2,0,1,2,0,1,0,0,3,1,1,2,0,4,0,2,4,1,1,1,0,1,3,5,0,1,1,2,3,1,3,2,2,5,1,2,2,4,2,0,0,0,0,2,2,1,2,3,1,0,0,2,1,1,2,2,0,1,2,0,1,0,2,1,0,0,3,2,1,2,0,0,1,1,2,1,0,1,0,0,0,0,1,3,2,1,3,3,2,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,3,1,2,2,2,3,0,1,4,2,1,1,1,1,2,3,2,3,1,2,1,2,1,0,1,1,3,2,4,2,2,0,1,2,3,2,1,1,0,0,1,0,1,0,1,1,4,4,2,2,4,0,2,3,0,1,4,1,2,1,1,0,0,2,0,1,1,1,0,2,2,1,0,1,1,0,2,0,1,2,0,1,0,4,1,1,1,1,3,0,1,1,0,1,0,2,0,3,0,1,1,1,1,1,2,0,2,5,1,0,0,2,2,0,3,1,0,1,1,2,1,4,0,5,2,4,1,4,3,2,0,2,4,1,4,0,0,0,3,1,1,0,2,1,1,0,1,2,1,2,3,2,2,1,0,2,0,1,1,1,0,2,0,1,0,0,1,1,1,0,0,1,0,2,2,2,1,1,2,1,3,2,1,0,2,5,1,1,0,0,0,1,0,1,0,1,1,0,1,1,2,1,1,2,3,0,3,1,1,1,3,2,1,2,2,3,0,1,4,0,2,2,4,1,3,2,3,4,4,3,3,4,2,0,3,4,2,3,3,2,3,0,1,2,2,1,2,2,1,3,3,3,4,3,3,2,1,0,0,1,1,1,1,1,0,2,0,1,1,1,3,1,2,1,1,0,2,1,0,1,2,1,0,1,0,1,0,0,0,4,0,0,2,1,0,1,1,0,3,1,1,2,1,3,1,0,2,0,3,0,2,0,4,0,1,0,2,0,2,1,0,0,1,3,3,2,2,6,3,3,2,4,4,1,2,2,2,2,2,2,1,1,4,4,3,1,2,4,0,1,0,0,2,3,0,0,4,2,2,2,1,2,1,4,3,4,3,1,1,0,1,3,1,3,1,2,2,0,0,2,0,0,2,1,2,0,1,1,1,0,2,1,2,1,3,1,2,0,2,2,3,1,1,1,2,1,1,1,1,0,1,1,2,0,0,1,1,0,1,0,1,2,1,1,3,0,2,2,5,2,1,2,5,0,2,1,2,5,1,3,3,0,3,0,1,1,2,1,2,2,3,2,0,3,0,2,0,0,3,1,2,3,3,1,4,0,2,3,3,2,2,0,0,2,0,1,2,2,0,3,1,1,1,3,1,1,2,3,1,1,1,3,4,0,1,2,1,1,0,1,1,2,0,1,1,1,1,0,2,2,0,0,2,4,2,0,2,2,3,3,0,2,3,2,2,3,4,2,2,2,2,2,2,1,4,2,2,1,1,2,2,0,4,4,2,5,1,0,3,5,5,4,4,4,1,0,0,2,0,2,1,0,1,0,3,2,1,2,0,2,1,2,1,0,0,0,2,3,1,0,2,3,5,1,2,1,5,3,1,1,0,2,4,1,2,3,2,2,4,0,1,4,2,0,0,1,2,4,0,1,0,0,0,3,2,2,0,2,1,3,0,2,4,2,2,1,0,2,2,0,1,3,0,0,2,1,1,2,3,0,1,0,0,1,3,4,8,2,0,0,0,1,1,4,0,4,1,1,2,3,1,0,1,1,4,1,0,1,0,0,1,3,3,3,1,0,3,7,0,2,1,1,2,2,0,4,4,0,1,1,2,0,1,0,2,3,1,2,1,0,1,1,1,3,2,2,2,1,2,0,0,1,0,2,1,1,1,1,1,1,0,2,1,0,2,3,2,1,1,1,2,2,1,0,2,1,2,0,3,1,2,3,3,2,1,3,1,2,6,1,6,1,3,2,4,6,4,1,0,3,1,0,2,2,4,2,5,2,1,2,2,0,3,0,0,1,2,0,0,0,4,2,0,1,2,2,2,5,0,4,1,1,1,4,3,1,3,2,2,3,2,3,4,2,1,2,3,1,1,3,5,2,2,4,1,0,2,0,5,0,3,1,2,1,2,0,2,1,0,1,1,4,0,3,0,1,1,2,4,2,2,1,1,2,1,3,1,1,3,1,1,1,2,1,5,2,4,2,2,3,5,3,0,2,0,3,2,0,0,4,2,2,2,2,4,3,0,3,1,0,3,2,4,0,1,2,1,0,1,0,1,0,1,0,0,3,1,2,2,0,0,1,1,2,1,1,1,4,1,2,3,3,2,4,2,3,0,2,3,4,1,3,5,1,0,5,1,0,4,1,5,4,2,2,1,2,2,5,1,1,4,4,1,1,3,3,3,1,1,3,0,1,3,0,0,1,0,4,3,1,1,2,5,4,3,4,4,3,3,6,1,3,2,3,3,1,4,2,3,3,1,6,3,2,0,2,3,2,1,4,2,2,1,1,2,0,0,1,2,0,3,2,1,3,2,3,3,2,2,1,3,0,1,1,9,2,1,6,0,2,3,1,0,2,3,1,3,1,0,1,1,2,0,1,1,2,2,1,1,4,2,2,2,1,3,1,1,2,0,2,1,1,2,2,0,2,0,0,3,2,1,3,1,4,4,2,4,3,5,1,4,2,4,2,0,1,1,5,0,1,3,2,5,4,0,7,5,0,0,2,3,1,1,2,1,1,2,1,0,2,2,2,2,2,1,2,4,3,1,2,3,3,2,2,0,3,4,2,1,6,5,1,4,1,0,1,1,4,3,5,2,3,1,1,0,2,0,3,0,1,2,0,3,0,3,3,1,0,2,1,0,3,0,1,1,1,0,2,2,0,1,3,3,4,4,6,2,4,3,0,3,5,4,3,2,1,3,0,0,2,3,2,3,2,3,0,2,2,2,2,2,1,4,6,2,1,5,3,0,3,1,2,3,3,0,3,1,3,2,2,0,3,0,2,1,1,0,3,2,1,3,0,1,3,0,4,1,4,5,6,5,1,3,4,3,6,3,3,2,4,2,3,2,1,1,2,1,4,1,2,0,2,2,0,1,2,1,1,3,0,1,2,1,0,1,2,1,2,1,3,2,4,3,1,4,4,5,5,1,1,1,2,0,5,2,4,1,4,3,2,3,5,1,1,2,2,3,3,2,1,3,3,0,0,1,1,1,0,2,2,0,2,2,4,1,2,1,1,0,2,2,1,0,2,4,4,4,0,3,4,4,4,2,3,0,4,3,1,1,5,4,3,2,1,1,3,3,7,3,2,3,2,1,1,0,3,1,2,2,2,0,1,1,0,3,2,0,2,4,1,0,3,1,2,2,1,2,1,5,0,2,4,1,2,1,2,2,0,2,3,2,4,0,3,1,2,3,4,2,2,3,4,3,1,3,1,2,2,1,1,1,2,1,2,1,1,2,1,3,0,4,1,1,0,2,0,1,2,4,2,3,2,0,0,0,3,0,2,1,2,2,2,7,5,2,1,2,2,5,0,0,5,6,6,5,1,3,2,0,1,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,2,2,1,1,3,2,1,1,4,4,2,1,4,1,0,2,0,1,3,2,1,1,1,4,4,4,4,3,2,7,4,3,3,3,4,1,2,3,0,0,1,2,1,0,1,2,0,0,1,1,0,2,3,2,4,5,2,2,5,1,4,4,0,3,2,0,2,1,5,1,0,4,2,1,2,4,1,2,7,5,3,3,0,1,1,2,1,3,1,0,2,1,1,0,1,0,1,2,2,1,1,0,1,1,1,2,0,2,2,4,2,3,2,1,1,3,4,3,2,4,1,5,4,4,0,2,1,3,2,1,1,4,3,6,4,3,5,2,5,1,0,0,1,1,2,2,3,2,0,1,3,0,1,0,0,2,1,0,1,2,1,3,1,2,1,1,4,3,4,2,1,2,3,3,1,1,3,3,1,2,2,5,1,4,3,4,1,2,5,2,7,1,1,0,0,0,0,0,0,1,3,1,1,3,0,0,3,6,0,1,2,1,1,2,1,3,0,3,2,1,0,0,2,2,3,0,1,3,2,2,1,1,3,2,5,4,2,4,5,3,2,0,4,0,1,0,0,1,2,1,0,0,1,0,0,0,4,4,3,1,2,0,1,3,1,4,1,2,0,5,2,2,4,3,4,5,2,2,0,2,3,1,0,3,2,5,2,4,1,7,1,6,2,4,3,1,1,0,0,2,1,2,1,0,1,3,0,1,0,0,1,1,2,2,1,2,1,1,0,0,1,1,2,1,1,1,2,6,2,2,1,3,1,1,1,1,2,4,4,0,2,5,1,3,4,3,1,0,1,1,0,3,3,0,1,4,1,0,1,2,0,1,0,0,1,1,2,0,1,3,1,6,2,4,2,1,2,1,5,3,0,5,6,9,3,3,5,2,3,4,2,3,5,2,5,3,1,5,6,0,0,0,0,1,0,3,0,0,0,0,0,2,2,0,0,0,1,1,3,3,0,1,1,1,3,1,2,1,1,1,1,1,1,2,2,2,2,1,2,0,5,2,2,1,1,4,0,1,1,2,3,1,0,2,1,0,0,2,2,2,4,1,1,0,1,3,0,0,0,1,0,3,2,0,2,3,1,2,2,5,1,0,1,2,1,2,1,6,5,1,3,5,0,3,3,6,1,3,5,3,3,3,3,1,0,0,2,0,1,0,4,1,1,2,0,1,1,2,0,2,0,1,0,0,3,0,1,0,0,0,2,0,1,1,0,0,3,3,1,2,3,2,2,2,0,2,3,0,1,2,2,5,3,4,1,0,0,1,1,0,1,0,1,1,0,2,1,0,0,2,2,1,0,1,0,1,1,0,1,3,1,1,1,5,2,1,0,5,4,0,2,4,2,1,3,4,5,1,2,3,3,1,3,4,2,6,3,0,0,1,0,1,1,1,0,0,1,2,2,1,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,2,0,1,1,1,0,1,0,1,1,1,1,2,3,1,1,1,2,1,1,1,1,0,1,0,1,1,0,1,3,1,2,0,1,0,2,3,0,2,0,1,1,1,0,1,2,2,2,0,1,2,2,3,6,0,4,1,5,2,1,2,3,3,4,4,4,0,1,2,6,3,7,0,1,0,0,1,0,0,2,2,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,1,2,3,1,3,2,1,1,1,1,3,2,0,4,4,1,0,0,0,0,2,0,2,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,3,2,0,2,0,0,0,1,1,0,2,0,1,0,2,2,0,3,0,3,1,2,5,1,2,0,1,4,2,1,2,2,0,3,7,3,5,3,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,2,0,1,3,0,1,1,0,0,0,0,1,1,0,2,2,1,2,1,1,2,0,1,4,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,1,1,0,1,1,2,2,0,1,3,2,3,2,4,4,2,3,2,3,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,3,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,2,0,1,2,0,1,2,0,2,0,0,4,1,1,1,0,0,0,1,1,1,2,0,1,3,1,4,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,1,1,1,1,0,1,1,0,0,0,1,2,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,1,2,1,0,0,0,0,1,1,1,3,1,1,1,3,3,6,1,1,0,1,1,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,3,3,3,1,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,4,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,1,1,2,0,1,0,0,1,1,2,0,1,1,1,2,1,1,2,0,3,0,47,59,43,46,53,54,47,51,60,48,55,61,52,59,54,50,50,58,66,76,76,71,72,50,78,71,80,79,71,64,53,53,65,69,53,61,54,50,54,53,61,61,72,82,67,60,77,67,70,67,68,71,28,37,41,37,35,45,39,48,48,38,44,53,45,44,44,40,42,45,45,37,45,51,58,41,71,46,56,71,62,57,45,55,55,69,53,54,79,65,50,59,54,54,70,68,81,77,70,73,78,69,81,74,2,2,2,0,1,0,1,0,0,1,1,2,0,1,0,0,1,2,1,0,1,1,1,1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,3,0,1,3,1,2,0,1,0,0,0,1,0,0,2,2,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,3,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,3,2,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,3,1,1,2,0,0,0,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,3,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,3,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,2,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,2,3,1,0,0,0,1,2,0,2,0,1,2,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,2,1,1,0,1,0,0,2,0,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,2,0,3,1,0,0,0,0,0,0,1,2,0,0,0,1,0,1,2,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,1,1,1,2,0,0,1,2,0,1,0,2,0,1,1,0,1,0,0,3,2,0,2,2,4,2,0,2,1,1,0,1,1,1,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,2,1,1,1,2,1,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,2,0,1,1,0,0,1,1,0,1,0,2,0,2,0,3,1,3,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,0,1,3,1,1,1,1,0,0,0,2,0,0,1,1,0,1,3,1,1,2,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,2,3,1,0,3,0,3,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,3,1,2,1,0,2,0,1,1,2,1,0,1,1,1,0,0,0,0,0,1,2,0,1,1,0,1,2,1,0,4,0,2,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,0,0,3,1,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,1,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,2,0,1,0,2,2,0,1,2,2,0,4,2,1,2,2,0,1,4,2,2,0,1,1,1,1,2,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,1,0,1,0,0,0,1,0,1,0,3,3,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,2,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,3,0,1,0,3,3,3,1,2,1,1,1,2,2,3,1,2,0,0,1,1,0,0,1,0,1,0,2,0,2,1,2,1,3,0,0,0,1,0,1,1,0,2,1,0,0,3,1,2,1,3,0,1,0,1,0,0,0,1,0,1,1,4,0,1,1,0,2,0,0,1,0,1,2,0,2,0,1,1,1,1,1,0,1,2,1,0,1,0,1,0,1,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,1,3,0,0,1,3,1,2,3,1,3,0,0,4,1,5,2,3,4,1,4,1,1,2,0,0,0,1,1,0,1,1,0,2,1,1,1,0,1,1,0,1,1,1,4,1,0,0,0,0,0,1,0,0,3,1,0,0,1,2,2,2,0,0,0,0,1,2,0,0,2,0,1,0,0,1,2,0,2,2,1,1,2,0,0,1,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,0,1,3,2,1,2,0,0,1,0,1,1,2,0,3,0,1,2,1,0,4,2,2,4,3,1,4,1,2,1,3,0,1,2,2,1,1,0,1,0,0,2,0,0,0,0,1,0,2,1,2,2,0,2,0,0,3,1,0,0,0,0,0,1,0,0,1,1,1,2,1,1,0,1,2,0,1,0,0,0,2,2,3,0,0,0,1,2,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,3,2,2,5,1,0,1,2,1,3,3,1,1,3,0,0,1,1,2,2,1,0,2,2,0,1,0,0,0,1,0,0,1,0,1,1,2,3,1,2,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,2,3,0,1,0,2,0,0,1,1,1,1,2,0,0,0,1,0,3,1,2,0,0,1,0,1,3,1,0,0,0,0,0,4,0,0,2,0,1,0,2,0,0,0,4,3,1,0,1,3,4,1,1,2,4,1,1,2,1,2,1,2,4,3,0,3,3,3,4,2,2,2,2,1,1,1,0,1,0,2,1,1,2,1,2,0,3,2,1,2,0,1,0,1,2,0,2,1,0,0,0,1,2,1,1,0,0,0,0,1,1,3,1,1,2,1,0,0,1,0,1,0,0,1,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,3,3,3,3,2,0,0,1,0,4,1,3,1,2,1,0,3,2,1,2,4,4,0,1,3,0,2,0,1,2,1,1,1,3,0,4,1,1,1,0,1,1,0,1,2,1,2,0,1,2,0,1,2,2,0,2,1,0,1,2,1,1,0,1,1,1,0,2,0,1,0,1,0,1,0,3,1,4,0,0,0,3,0,1,1,0,1,0,0,0,0,1,2,0,1,1,1,1,1,2,0,0,2,1,2,0,1,2,1,2,1,3,0,4,1,5,2,3,4,2,2,2,1,0,2,2,5,4,2,0,1,0,1,1,0,0,2,0,0,0,0,3,0,0,1,1,1,1,1,1,1,4,2,1,3,0,1,0,0,0,1,0,2,1,0,0,1,0,0,1,2,1,0,4,3,0,2,0,1,0,1,0,1,2,2,0,1,0,3,1,3,0,0,0,0,0,0,1,0,0,0,2,1,2,1,2,1,0,0,7,0,0,3,1,3,1,3,2,7,3,2,4,0,0,4,1,2,1,0,0,2,1,2,2,1,0,0,3,3,0,2,1,0,0,2,0,0,1,1,0,3,3,0,2,1,0,2,0,3,1,0,1,1,1,2,2,0,1,2,2,2,1,1,1,1,0,2,4,3,0,2,0,3,1,0,0,1,1,2,1,0,1,0,2,0,2,2,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,5,1,3,6,3,5,1,4,2,2,2,1,1,3,4,2,7,0,1,0,1,2,3,2,4,2,1,1,0,2,1,2,3,2,2,4,1,3,2,0,2,0,1,1,0,1,1,0,2,1,3,0,2,1,1,3,2,1,5,0,2,0,1,2,0,1,0,0,3,3,1,0,1,0,1,0,1,2,0,0,1,1,1,0,0,0,3,1,0,0,2,0,0,1,0,0,0,0,0,1,0,3,1,0,2,4,0,1,2,0,4,3,2,1,2,4,3,4,3,0,4,3,3,1,1,3,2,5,2,2,2,1,3,3,2,0,2,1,2,1,1,1,2,3,3,0,4,2,0,0,0,1,2,1,2,1,0,1,2,3,2,1,1,2,0,1,3,2,2,0,2,3,2,0,2,3,1,1,3,1,1,1,0,2,0,0,4,0,1,4,1,0,0,0,1,1,1,1,1,2,3,1,1,0,0,1,1,1,6,4,2,1,0,3,1,5,3,3,1,1,5,2,2,1,3,3,7,6,3,5,3,4,2,4,3,3,1,0,0,1,1,2,1,2,0,0,1,3,1,3,2,0,1,4,2,2,3,0,3,0,3,1,2,4,2,1,1,2,2,1,0,0,3,5,3,2,2,4,5,0,2,0,0,1,1,1,1,0,1,1,4,0,5,1,0,0,1,4,0,0,0,2,0,2,2,2,3,1,1,0,3,2,4,7,3,5,1,2,0,1,5,0,4,4,4,3,2,4,6,2,2,1,0,0,2,2,3,0,2,1,2,3,5,2,1,1,2,0,1,1,1,2,0,1,2,2,2,1,1,0,0,1,3,4,0,0,2,2,1,1,3,3,2,2,2,1,3,2,2,0,1,3,3,5,5,0,1,1,1,0,2,3,0,2,1,2,2,1,0,1,0,0,1,0,0,0,1,2,0,0,3,0,2,2,4,1,3,6,0,1,1,2,3,1,5,3,2,5,2,5,6,3,3,2,1,4,2,1,3,1,3,0,4,2,6,3,1,3,4,2,1,2,1,2,1,2,1,2,2,0,2,3,0,2,2,3,0,1,1,1,1,1,1,2,1,3,5,0,1,3,2,1,0,2,3,1,1,2,3,3,0,4,2,0,0,1,2,0,2,0,1,2,0,1,1,1,1,5,3,1,2,0,0,0,1,3,2,0,1,3,2,2,2,2,2,8,0,4,1,4,7,0,1,2,3,6,3,5,4,5,4,3,0,1,1,0,3,3,2,6,5,6,1,2,0,1,7,3,1,0,0,1,2,1,2,2,1,2,1,1,3,2,1,2,3,3,2,0,1,5,0,5,1,2,4,2,2,0,2,2,2,3,5,3,1,4,4,2,0,3,1,1,3,3,1,2,3,0,1,0,0,1,0,1,3,1,6,0,1,4,1,2,2,1,1,6,3,2,1,4,1,1,3,5,4,3,2,0,4,2,3,1,1,0,8,7,7,2,4,6,2,5,4,5,0,4,3,7,3,2,2,0,4,2,1,2,2,2,1,2,2,3,4,2,0,1,2,2,0,6,3,3,3,1,5,1,2,4,1,2,4,1,4,1,3,4,3,4,1,2,2,3,2,1,3,1,2,5,1,0,2,0,3,2,3,2,1,2,1,1,1,1,1,2,2,1,0,1,5,2,1,3,3,3,4,2,1,2,2,1,4,4,6,2,5,5,3,4,1,2,7,2,2,5,4,4,3,2,2,3,1,3,2,4,0,2,0,3,0,3,1,3,4,2,5,2,0,1,2,3,5,3,1,4,1,4,3,3,2,4,3,8,1,1,4,3,0,5,5,1,3,3,1,2,5,0,2,4,3,2,2,3,1,2,0,5,6,0,3,0,0,0,2,1,1,2,1,1,1,1,3,2,5,5,5,6,1,4,0,4,3,3,3,4,1,3,3,4,2,4,4,7,6,8,4,4,2,4,4,4,3,4,1,2,1,5,6,1,2,2,1,0,1,4,0,2,2,1,1,3,1,0,4,6,1,1,2,2,0,6,1,2,1,1,3,5,0,6,2,3,1,2,4,2,3,9,3,0,3,4,1,1,1,0,1,5,6,2,3,3,2,2,1,1,2,1,1,1,1,2,0,0,3,3,1,1,3,3,1,6,2,0,3,1,1,5,4,3,4,8,4,2,4,2,4,3,2,5,2,6,5,1,4,5,1,3,2,3,4,5,2,1,4,4,3,2,1,6,6,2,2,1,1,1,3,2,4,2,1,1,2,2,3,2,4,3,3,3,4,2,2,1,2,2,1,3,6,4,2,2,4,3,3,3,5,3,2,2,0,3,0,2,1,4,1,2,1,2,1,4,3,3,1,1,2,2,1,0,2,0,5,1,0,1,1,2,1,3,5,1,1,3,4,3,3,8,2,5,4,5,4,6,5,0,5,3,11,3,3,3,4,0,4,2,4,6,4,5,3,1,3,1,4,1,3,1,0,2,2,1,2,2,6,3,4,1,1,3,3,1,3,2,1,0,1,1,3,5,3,4,8,2,8,4,7,5,4,3,5,3,3,5,2,3,4,4,3,1,2,3,4,0,4,2,0,1,1,2,1,2,2,4,0,1,4,2,0,3,3,2,2,5,3,5,4,5,4,4,2,2,3,1,5,8,7,5,3,4,3,6,6,6,5,7,3,1,3,5,5,2,7,4,3,4,4,2,1,2,1,0,3,2,2,1,3,3,6,1,5,2,1,0,2,1,6,2,1,1,3,4,2,1,2,1,2,5,2,5,3,1,2,3,3,0,4,5,4,3,5,2,5,3,2,3,3,1,3,2,1,2,1,3,2,2,2,2,4,1,7,0,5,3,4,2,2,2,4,5,5,1,6,4,3,0,4,0,5,6,2,2,1,6,10,4,4,3,5,5,1,5,2,3,3,1,7,4,3,3,5,0,4,2,6,3,3,3,5,5,2,1,5,4,2,4,2,2,4,7,3,2,2,2,5,5,4,2,2,3,4,6,5,3,4,2,1,3,2,0,1,2,8,4,3,1,4,5,6,5,5,1,2,1,2,2,2,2,1,1,1,0,1,3,4,4,2,2,4,4,1,3,4,2,1,3,2,5,2,2,2,6,4,5,1,3,4,5,4,6,4,2,5,2,0,0,7,0,1,0,4,3,2,5,3,1,5,4,2,3,3,2,3,3,0,2,1,4,6,2,4,5,7,6,5,6,2,3,4,2,3,5,4,3,2,1,4,4,4,3,2,6,8,3,3,4,2,1,5,5,3,4,5,2,4,6,2,1,7,4,4,4,5,2,4,2,5,2,4,3,2,3,2,1,3,4,1,1,1,0,0,2,2,4,1,5,2,3,3,1,2,2,3,2,3,4,3,6,7,3,2,5,7,2,0,3,2,1,2,3,2,1,1,2,6,2,2,5,1,3,4,2,4,1,4,2,4,3,2,4,2,5,3,7,3,2,4,3,6,2,5,3,5,3,4,7,2,0,1,3,4,1,5,4,4,3,3,3,4,3,5,3,3,2,4,4,4,0,4,1,2,2,2,1,1,5,2,4,2,5,1,3,3,2,1,2,3,0,1,4,4,4,1,1,2,8,1,4,4,2,3,3,2,1,5,2,4,5,2,3,5,1,6,2,7,5,1,2,1,5,2,2,2,2,3,4,5,4,2,5,2,1,2,7,4,3,2,5,1,2,1,4,3,4,3,6,4,4,3,1,2,3,2,3,2,2,3,2,2,2,3,6,3,0,2,2,1,4,3,4,5,2,1,2,5,5,5,3,3,1,0,3,3,1,1,3,2,1,4,2,0,2,2,1,5,3,3,0,2,4,2,2,3,1,5,3,3,4,2,6,3,5,1,2,3,3,4,3,1,6,2,3,3,1,4,2,2,2,4,2,4,2,3,4,2,2,3,3,3,2,2,2,2,7,5,3,3,3,5,6,5,5,2,8,6,5,1,6,3,6,4,6,4,5,6,2,0,5,4,7,1,4,3,5,1,1,4,3,2,4,2,1,5,1,1,1,1,1,0,0,2,1,3,0,0,2,4,1,3,5,1,1,4,6,2,4,0,1,1,3,2,2,1,4,2,0,2,7,2,3,0,3,6,3,1,3,0,1,1,2,5,1,4,2,3,2,5,4,4,1,1,2,2,1,2,2,3,4,1,1,2,3,4,1,1,5,2,5,4,4,3,7,3,3,1,1,10,10,4,5,3,8,3,2,5,4,4,3,0,2,3,3,4,2,2,3,0,2,1,0,1,1,1,2,5,3,2,2,2,1,4,4,1,0,0,0,2,3,1,5,4,1,4,1,1,1,2,2,7,3,2,4,2,5,2,7,4,2,3,2,2,6,4,3,2,3,0,2,1,0,2,2,3,2,3,2,1,2,2,3,2,1,2,6,3,3,1,4,3,5,5,6,3,2,3,5,2,4,2,4,4,2,3,4,4,6,4,2,3,4,4,2,5,2,7,4,2,2,0,3,0,2,2,5,0,2,2,1,1,0,0,2,1,0,2,2,1,2,1,2,4,1,3,3,2,2,1,3,4,6,1,4,3,2,0,7,3,3,1,0,0,5,4,2,2,1,2,3,4,3,1,1,3,4,0,2,2,3,1,2,2,4,3,4,1,0,4,3,2,2,5,5,4,7,5,4,6,0,3,2,8,3,4,3,7,1,4,5,8,5,1,2,4,5,4,3,5,4,6,1,4,5,0,3,1,2,1,3,1,1,0,3,1,2,0,3,3,1,0,0,1,2,2,0,1,1,0,2,1,0,2,3,2,0,4,3,2,1,2,2,4,3,2,3,1,6,1,1,0,3,4,2,7,0,0,3,2,0,1,0,6,2,2,2,2,2,4,3,2,1,2,5,2,0,0,0,3,3,2,4,4,2,3,3,3,4,3,6,5,5,4,3,2,2,2,1,3,3,2,3,4,3,4,4,5,1,0,1,1,1,1,2,0,0,1,2,3,1,1,1,0,0,0,3,1,1,0,0,1,2,0,2,3,1,3,2,3,4,2,0,1,2,2,3,3,2,1,5,1,3,4,2,6,4,2,3,1,2,1,0,0,1,3,2,1,0,2,1,0,1,2,3,2,3,2,3,2,1,1,1,2,1,1,0,5,4,2,6,3,0,4,1,6,7,2,1,3,2,4,7,4,3,3,1,3,3,3,3,1,5,1,1,1,0,1,1,1,1,0,2,1,1,0,0,1,2,0,1,0,1,0,0,0,1,0,2,1,1,1,0,2,1,1,1,0,3,2,1,0,1,1,0,4,5,2,0,4,0,3,2,1,0,0,0,1,2,1,2,2,4,1,1,0,1,2,3,3,3,1,3,0,4,1,1,4,0,2,0,4,1,1,1,2,4,1,2,6,8,6,1,2,2,2,2,5,1,0,5,3,5,6,0,4,1,0,0,0,1,1,1,0,2,0,1,0,1,1,0,0,1,1,2,2,0,0,1,1,2,1,1,2,0,0,0,0,0,1,0,4,1,1,3,6,1,0,2,1,0,2,0,3,1,1,4,1,2,1,2,0,0,0,0,3,1,0,2,1,1,3,1,1,2,1,0,2,0,4,2,0,0,1,3,3,3,2,0,0,1,3,2,4,5,2,3,2,3,2,1,2,3,2,2,5,4,2,7,2,2,0,0,0,0,1,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,2,1,0,1,0,0,1,0,0,3,2,2,3,2,0,4,1,0,0,1,1,1,2,0,0,0,0,2,1,0,2,0,2,1,0,0,0,1,1,3,0,0,2,2,1,2,0,2,0,0,0,1,2,1,4,1,2,4,0,4,0,2,6,1,1,5,1,1,4,4,8,2,2,7,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,2,1,0,4,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,2,1,2,1,2,1,1,2,1,1,1,2,1,2,1,0,1,3,2,1,1,2,0,2,0,3,2,1,7,1,1,2,1,1,3,2,1,0,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,1,1,0,1,1,0,0,0,0,3,1,2,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,2,0,1,1,1,0,1,1,0,1,0,4,0,1,0,1,0,1,0,1,2,1,2,2,2,1,2,0,1,2,0,3,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,2,0,0,1,1,1,0,0,0,0,1,0,0,2,1,1,2,1,0,0,1,1,0,0,1,0,0,1,2,1,0,2,1,4,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,3,3,0,1,1,0,1,1,1,1,1,0,1,0,4,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,1,2,0,3,1,0,1,2,2,1,0,1,0,1,1,3,0,99,104,73,86,71,83,63,89,76,90,98,89,83,95,93,72,112,87,92,107,78,89,95,103,93,94,101,70,85,100,70,69,73,94,82,70,72,83,77,69,60,76,88,80,77,64,74,61,75,66,76,67,66,58,76,72,63,65,87,78,74,84,63,75,72,85,69,80,74,94,90,79,102,84,81,78,76,91,84,65,74,87,80,78,83,80,107,93,88,68,73,86,65,62,82,74,67,73,75,76,80,66,86,66,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,2,2,0,0,2,2,0,1,0,0,1,2,1,0,0,0,0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,3,2,0,0,1,1,1,1,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,2,0,1,2,0,3,0,0,0,1,2,1,0,1,0,1,0,2,1,1,0,0,0,0,1,0,1,1,0,2,1,0,1,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,1,1,0,2,1,0,0,0,1,1,0,0,0,2,0,3,2,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,1,0,0,0,2,2,0,0,1,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,2,2,0,0,1,1,0,3,0,2,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,2,1,0,1,1,0,0,3,0,0,1,2,1,3,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,4,0,1,1,2,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,3,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,3,2,0,0,0,0,1,0,0,1,1,0,0,1,3,0,0,0,2,1,1,2,1,2,0,0,0,0,0,0,1,0,0,1,3,1,1,0,0,2,0,0,0,1,0,2,1,0,0,0,3,1,0,3,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,1,4,0,0,0,0,2,0,0,0,1,0,2,0,0,2,1,0,1,1,2,1,2,1,1,1,0,0,2,2,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,3,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,2,1,0,1,0,0,2,1,1,0,1,1,3,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,1,1,0,3,2,0,1,0,1,1,0,1,0,0,0,2,0,2,4,1,1,1,2,2,1,1,2,2,2,0,0,1,0,0,0,2,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,2,1,1,1,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,2,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,2,1,1,2,1,0,2,0,1,2,1,0,0,1,0,0,0,1,0,2,0,2,1,0,0,0,2,0,3,0,4,3,1,0,0,1,0,2,0,2,0,1,1,3,0,2,1,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,2,0,3,1,1,0,0,2,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,2,1,2,3,0,0,0,0,2,0,0,0,1,2,1,1,0,2,1,0,0,1,3,1,0,1,0,1,2,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,5,0,0,1,0,1,0,0,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,2,1,2,1,0,4,2,0,2,2,1,3,2,2,0,2,2,1,0,3,1,1,2,0,0,0,2,1,0,3,1,2,2,1,1,1,0,1,0,0,1,0,0,2,1,0,0,0,2,1,1,0,1,0,0,2,0,0,1,1,0,1,0,0,0,1,2,0,1,0,0,0,1,0,0,1,1,2,1,1,0,0,1,0,2,1,2,0,0,1,0,0,0,1,0,2,0,1,1,0,0,1,1,1,0,1,0,2,2,1,0,2,2,2,1,1,0,0,1,1,1,1,1,1,2,2,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,0,0,1,0,1,0,1,3,2,1,3,1,1,0,5,0,3,1,2,2,1,1,1,2,3,1,1,2,2,4,2,3,2,2,2,2,0,1,0,0,0,3,3,0,0,2,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,2,2,0,1,2,1,1,1,1,0,0,1,0,1,2,0,1,3,2,2,0,0,0,1,1,0,1,3,1,0,0,0,1,0,2,0,1,0,3,1,0,0,1,1,0,1,0,0,0,2,1,0,1,1,0,0,4,3,3,3,3,1,0,3,1,0,3,2,2,3,0,1,1,2,2,1,3,1,0,2,0,2,0,2,0,1,3,0,0,1,3,1,3,0,0,2,2,1,2,1,1,1,1,0,0,0,0,1,1,2,0,2,1,1,1,0,0,0,1,0,1,1,1,0,2,0,2,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,2,2,0,2,0,1,0,1,0,0,3,2,0,1,0,0,1,1,1,1,0,2,0,2,3,1,1,1,1,1,0,1,1,1,2,4,3,1,0,1,1,1,3,3,0,1,0,3,0,1,0,1,1,1,1,0,1,2,1,1,1,1,3,0,4,1,2,1,0,2,1,0,2,1,0,1,0,0,2,0,1,1,0,1,2,1,0,0,1,0,0,1,0,1,0,0,1,1,1,2,0,0,2,0,2,0,0,1,1,1,0,1,0,2,1,2,1,1,1,0,0,2,4,0,1,0,1,0,2,1,1,1,1,1,1,0,0,1,0,2,0,5,2,1,1,4,0,1,1,1,2,1,0,0,1,0,2,0,0,0,3,2,1,1,3,1,0,0,1,2,2,0,1,1,1,1,0,2,0,0,2,0,0,0,2,2,0,1,1,0,1,0,0,0,3,0,2,1,0,1,0,1,0,0,1,0,0,1,1,1,1,2,0,1,1,0,2,1,0,0,0,1,1,2,0,2,0,1,2,0,2,1,1,3,2,1,0,0,2,1,4,0,1,2,3,1,1,4,0,0,0,0,0,1,4,1,1,2,0,1,1,1,1,4,1,1,0,0,1,0,1,1,0,0,3,0,2,2,0,1,0,1,2,0,2,1,3,1,1,2,1,0,2,3,2,4,0,1,1,1,2,5,1,1,0,0,2,3,2,2,0,1,0,0,0,2,0,0,2,3,1,0,0,1,3,0,2,0,2,0,3,0,0,1,2,0,0,1,2,1,0,0,0,2,3,2,2,2,1,2,0,2,1,2,1,0,1,0,1,2,0,5,0,3,1,2,1,1,1,0,0,0,2,2,0,2,0,0,0,0,3,0,0,1,2,1,0,0,0,1,0,2,1,0,0,2,0,0,5,2,1,2,0,2,1,0,1,0,0,5,2,2,0,1,3,0,0,2,0,2,1,0,1,2,1,0,0,1,2,0,0,1,1,0,2,2,0,2,1,1,3,2,1,0,1,1,1,1,3,1,0,1,1,0,3,0,0,3,2,0,1,1,0,1,1,2,2,2,1,1,4,1,1,2,0,1,0,1,1,0,1,0,0,1,2,2,1,0,1,0,0,0,0,1,0,1,1,1,2,1,2,0,0,2,1,3,2,3,1,0,0,1,2,1,1,0,0,1,2,1,1,1,1,1,0,0,1,0,0,2,2,1,1,0,3,0,0,2,2,3,1,2,2,1,0,2,2,0,4,3,3,1,1,3,2,0,0,2,2,2,2,3,2,1,1,4,2,1,2,1,1,2,1,1,1,2,3,2,1,2,0,0,2,0,1,2,1,0,0,1,1,0,3,0,2,2,3,0,1,0,2,2,2,3,3,2,0,2,1,3,3,0,1,0,0,4,1,0,1,1,0,1,0,0,2,1,2,0,0,1,1,2,1,1,0,0,1,2,0,0,1,3,1,1,1,3,1,3,2,1,1,1,1,2,3,1,1,1,0,1,0,1,0,4,0,1,3,0,3,0,2,3,2,3,3,0,3,1,0,3,1,1,0,2,0,2,0,1,1,2,2,2,0,1,2,1,2,2,1,1,2,1,1,0,3,1,1,0,2,1,1,3,1,0,1,0,3,1,2,1,2,1,0,1,1,1,1,0,5,2,2,1,2,0,0,0,1,1,0,0,0,1,1,2,2,0,0,1,1,1,3,1,1,0,2,2,1,0,0,0,0,2,3,0,1,2,4,0,2,5,3,0,3,3,3,0,1,1,2,1,3,1,1,1,1,1,0,2,1,0,0,0,1,1,1,1,3,2,1,1,0,2,1,0,1,2,0,0,1,2,1,1,1,5,2,5,2,1,2,0,1,1,2,1,0,2,0,1,2,3,4,2,2,0,1,0,1,1,3,0,1,0,4,2,4,4,0,1,1,0,0,2,0,1,1,2,3,1,1,3,2,5,2,2,1,2,1,0,1,0,3,2,0,2,4,2,0,2,1,2,1,3,2,1,2,3,1,1,1,0,0,1,0,2,2,0,0,1,0,0,1,1,1,1,3,2,0,1,0,2,2,1,3,0,0,1,2,4,3,0,4,0,3,0,2,0,0,0,2,0,2,0,0,3,3,2,1,2,2,1,3,1,0,0,1,2,0,0,0,1,0,2,1,0,0,2,3,2,2,0,0,1,1,0,1,2,1,1,1,3,2,3,3,1,1,1,1,0,1,4,3,3,0,3,0,0,3,1,2,1,1,3,1,1,0,0,0,4,1,1,1,2,3,0,1,1,1,4,0,1,2,0,3,0,3,1,1,0,7,0,1,3,1,2,2,0,3,1,1,1,1,7,3,3,2,1,0,2,3,2,0,3,1,1,0,1,0,1,2,2,2,0,1,0,0,0,0,0,1,1,0,1,0,0,3,1,2,1,1,0,0,1,3,1,6,1,2,3,0,1,2,1,1,3,2,3,0,3,2,1,1,2,2,3,0,3,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,1,0,2,1,5,2,1,0,1,1,0,0,1,2,1,1,2,1,0,2,2,0,0,1,3,2,1,2,1,1,0,1,1,1,3,0,1,0,2,1,1,1,0,0,0,0,1,1,1,2,0,1,0,0,1,2,2,1,0,1,0,0,1,1,1,0,1,3,1,0,1,0,1,3,3,1,2,3,3,1,0,1,1,4,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,2,1,1,1,2,2,4,2,3,0,1,0,2,1,2,1,0,1,1,2,4,2,3,2,1,1,1,2,3,1,5,3,1,1,1,0,1,1,0,1,0,0,1,2,1,1,2,1,0,0,1,0,1,2,1,1,2,0,0,2,2,2,2,0,2,2,1,1,2,1,1,3,0,3,3,1,1,0,2,2,3,1,1,1,1,2,0,0,2,1,3,0,2,0,1,0,0,0,2,4,0,1,1,0,2,0,1,1,3,0,1,0,1,1,1,1,2,1,0,0,1,4,2,3,3,0,2,0,0,2,1,0,1,2,1,3,3,2,0,2,0,0,0,1,0,1,0,1,2,0,0,0,0,0,3,2,0,0,3,0,1,1,1,2,1,3,0,0,1,1,4,1,0,0,1,0,1,2,1,2,3,2,4,3,2,2,1,1,0,1,1,0,0,4,1,2,0,0,0,1,0,0,2,1,0,2,1,0,1,0,1,0,2,3,1,2,1,1,1,0,0,0,2,2,2,1,3,1,2,3,0,1,2,2,1,1,2,2,1,2,3,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,1,0,4,0,2,1,1,0,0,0,0,0,1,0,0,2,1,1,2,1,3,0,1,0,1,0,0,0,0,0,0,2,0,1,1,1,1,0,1,1,1,0,3,2,0,2,0,1,1,2,1,1,1,0,2,1,1,3,2,1,1,3,3,1,3,0,3,1,2,1,1,2,2,0,1,1,0,1,0,0,3,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,2,0,0,1,2,0,0,1,2,3,4,1,1,2,2,2,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,0,1,1,0,0,4,0,0,1,1,2,1,1,2,1,2,2,1,2,2,4,0,1,0,0,0,3,3,1,1,0,3,0,1,1,0,6,1,2,2,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,2,1,2,0,0,1,0,4,1,0,0,0,1,0,0,0,4,1,0,1,0,2,3,1,0,2,0,0,2,0,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,1,0,2,2,4,1,1,4,1,1,3,1,3,3,1,0,1,0,0,1,3,3,0,1,2,3,1,1,0,1,2,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,2,0,0,0,2,0,0,0,0,3,1,1,1,1,0,0,1,0,1,3,0,1,0,0,2,0,0,0,1,1,2,1,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,2,1,1,1,1,3,2,1,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,4,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,1,0,1,1,0,0,2,0,2,1,0,1,2,0,0,3,1,0,0,0,3,1,2,1,0,0,0,1,1,2,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,2,1,0,2,0,0,2,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,2,1,2,0,1,0,3,0,1,0,0,0,1,0,2,1,1,1,2,4,3,2,2,2,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,3,0,0,0,0,0,0,1,0,0,1,0,0,4,0,1,0,2,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,2,2,0,0,1,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,1,0,0,3,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,2,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,1,0,1,0,1,2,23,33,35,30,43,30,35,34,31,32,42,36,42,43,27,33,32,40,37,40,52,41,32,50,48,33,45,41,44,41,36,39,35,46,26,56,50,38,35,49,43,53,38,48,42,37,47,41,37,41,33,37,17,25,24,31,26,16,23,25,29,17,29,28,25,37,34,23,28,25,32,25,32,33,35,37,37,42,37,41,37,39,36,30,45,28,34,27,39,44,40,43,34,44,26,39,43,39,40,34,39,38,45,41,1,3,1,1,5,3,1,0,0,1,2,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,2,1,1,0,1,3,1,1,0,0,1,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,1,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,2,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,3,2,2,0,0,1,0,0,0,0,2,1,0,0,0,2,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,2,2,2,0,2,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,2,3,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,1,1,2,2,2,1,4,0,1,0,0,3,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,3,3,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,3,2,0,1,2,0,0,0,1,0,1,1,0,2,2,0,1,1,2,0,0,1,1,0,0,1,0,1,0,3,1,1,1,2,1,0,0,1,2,0,0,0,0,1,1,0,2,0,0,0,1,2,0,0,0,0,1,0,0,2,0,1,0,0,0,2,2,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,1,0,0,2,1,1,2,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,4,0,1,1,0,1,0,0,1,0,1,2,3,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,2,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,1,1,0,1,0,1,1,1,0,1,0,2,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,2,0,1,0,0,0,1,1,0,1,2,1,2,0,1,1,1,0,1,1,1,1,1,0,0,0,0,2,1,0,2,1,0,0,0,2,0,0,0,0,1,2,0,0,2,1,2,0,1,1,0,0,2,1,1,1,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,2,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,3,1,3,0,1,4,1,2,0,0,2,3,2,0,1,0,0,0,3,1,1,0,0,2,1,0,1,2,0,1,0,1,2,1,0,0,0,2,2,3,2,1,1,2,1,1,0,0,2,0,0,2,0,2,1,1,4,0,1,0,2,2,0,0,2,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0,2,0,0,2,2,1,5,1,2,1,0,1,1,2,2,2,1,1,0,1,1,2,0,3,0,1,0,1,2,0,2,0,3,2,0,0,1,1,1,1,3,1,0,3,0,0,4,0,1,1,0,1,0,0,2,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,3,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,2,2,1,1,1,2,2,1,0,1,1,1,5,1,1,1,0,1,0,1,1,0,1,0,1,3,0,1,2,1,1,0,2,1,2,1,1,0,0,2,1,2,0,2,0,1,2,1,2,0,0,1,1,1,2,1,1,0,0,0,1,1,0,0,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,1,2,0,0,1,0,2,0,1,2,1,1,0,4,1,2,0,0,0,1,0,3,1,0,1,1,1,2,0,0,1,1,0,0,2,1,1,1,0,2,1,2,0,0,2,0,2,0,0,1,0,2,0,0,0,1,3,0,0,1,2,0,0,1,1,1,0,0,0,0,0,2,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,3,0,1,1,1,4,2,3,1,1,1,1,4,3,2,2,0,1,1,1,3,0,2,2,1,2,3,1,2,1,2,0,0,2,2,2,0,3,0,0,0,5,0,1,4,1,0,2,1,1,0,1,1,2,0,1,0,4,2,1,1,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0,0,0,1,2,1,2,0,1,0,1,0,0,1,0,1,1,1,1,0,0,3,1,1,1,2,3,1,1,1,1,1,2,3,1,0,4,1,0,1,1,1,0,1,1,1,1,2,0,0,0,0,2,1,0,1,1,1,3,1,3,1,2,3,0,1,3,2,4,1,0,3,0,0,0,0,1,1,0,3,1,2,1,0,2,0,0,0,0,1,1,1,3,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,1,1,1,1,0,0,1,0,1,1,4,4,2,3,2,1,1,2,2,0,3,1,3,2,2,2,1,3,0,0,3,0,0,1,2,1,1,3,1,0,0,0,0,2,1,1,0,2,4,1,0,3,0,1,1,3,1,0,2,0,1,0,2,0,1,1,1,4,2,0,2,0,2,0,0,0,2,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,3,1,1,2,4,1,1,1,0,1,0,0,0,0,1,1,0,0,2,4,1,2,3,1,2,5,4,4,2,4,3,1,2,2,2,2,4,1,2,2,3,1,0,3,0,0,4,0,0,0,0,1,0,2,0,1,0,2,0,1,0,0,3,2,2,0,1,2,0,2,2,2,2,0,1,1,0,0,1,1,1,1,2,0,1,1,1,0,2,2,0,1,2,1,0,1,0,1,0,0,2,1,0,0,0,1,0,0,1,3,0,0,1,0,1,4,1,0,1,2,1,4,1,0,1,2,1,3,6,2,4,1,3,3,1,3,2,1,1,3,2,2,1,5,2,3,1,0,3,0,0,2,2,1,0,1,3,1,1,0,2,0,2,0,3,5,4,2,1,2,0,1,1,1,1,1,0,1,0,2,0,0,0,1,1,1,0,0,1,1,1,2,0,1,1,1,1,1,0,1,0,3,1,0,0,0,1,0,1,1,1,2,0,2,1,0,0,1,0,2,0,1,2,0,2,2,3,1,2,6,2,2,4,2,1,2,3,4,4,2,3,0,1,3,0,4,3,0,3,1,1,4,2,3,1,0,1,1,2,1,2,0,0,2,1,1,1,1,0,1,2,4,3,1,0,1,2,1,2,2,0,1,2,1,5,1,2,1,0,3,0,0,2,1,2,0,2,0,0,1,1,0,1,0,3,0,1,1,0,2,0,1,0,2,0,1,1,0,1,2,3,0,3,1,1,1,0,0,0,2,0,3,4,5,3,4,2,3,2,2,3,6,4,5,3,1,5,3,4,3,2,0,2,4,0,2,2,2,1,1,1,0,1,1,1,2,1,1,2,2,2,3,2,2,2,3,2,3,1,1,0,0,1,3,3,3,2,3,3,2,0,1,1,0,1,1,1,1,0,3,0,2,3,1,1,2,0,0,0,1,2,0,0,1,0,2,4,0,2,1,1,1,0,0,2,1,1,1,0,1,3,2,1,3,2,5,1,1,5,1,4,3,4,0,3,1,2,1,2,3,2,3,2,2,3,1,3,3,4,3,1,0,0,1,4,1,3,2,2,2,2,2,3,4,1,1,3,3,1,0,3,4,2,2,1,0,1,2,2,1,3,5,4,2,2,2,1,5,5,3,1,1,1,1,2,0,0,2,2,1,0,0,3,1,0,2,2,2,1,0,1,0,0,1,2,0,0,2,1,4,0,1,0,1,1,2,2,3,2,4,4,2,5,1,4,4,2,3,5,4,1,3,2,0,2,3,4,4,1,2,2,3,3,6,3,1,3,1,2,5,3,0,5,1,0,2,0,0,2,3,0,0,3,2,2,2,5,1,1,3,2,1,4,1,0,0,1,1,1,4,1,0,1,1,2,1,1,1,1,3,3,2,2,1,2,1,2,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,2,3,4,2,3,2,2,4,4,2,1,4,2,4,3,2,1,7,3,3,3,4,3,2,6,2,3,0,0,2,1,2,4,4,3,3,3,3,3,1,1,2,3,1,1,2,2,1,3,1,3,4,3,2,2,1,0,3,3,2,1,0,1,1,4,2,0,0,2,1,2,0,1,1,0,3,2,1,0,2,1,1,1,2,2,2,1,2,1,1,2,2,0,2,2,0,1,1,0,0,1,1,0,0,1,1,1,3,0,4,3,2,4,2,1,2,2,3,2,2,3,2,2,8,3,5,3,4,1,4,4,3,2,4,1,1,0,6,4,2,3,4,3,2,2,0,1,3,1,2,0,3,1,2,2,1,1,1,2,2,1,4,1,1,0,2,2,2,0,3,3,1,1,2,2,0,3,2,2,2,0,2,1,0,3,2,1,1,2,2,2,2,2,3,3,1,1,3,0,2,1,0,3,2,1,3,1,0,1,1,2,1,1,1,0,2,3,5,6,2,4,10,5,6,1,4,5,3,4,3,0,2,3,2,2,3,5,2,1,2,2,3,3,2,5,6,1,0,3,2,0,1,0,0,2,3,3,1,1,1,5,1,0,3,0,3,4,1,2,2,2,2,4,0,1,1,0,3,0,3,3,2,0,3,4,1,0,3,2,0,2,2,2,1,3,1,2,2,2,2,1,5,2,1,0,1,4,2,2,2,1,0,0,4,1,2,5,4,0,4,6,4,4,5,4,2,6,1,4,4,0,2,0,2,7,2,8,2,3,8,1,1,4,3,2,1,5,1,4,4,5,3,3,2,5,2,2,2,2,2,4,2,2,3,1,0,4,1,4,3,3,3,3,1,0,1,2,0,4,3,4,2,5,0,6,3,1,1,1,4,2,2,3,2,3,1,3,1,0,1,0,3,3,1,0,1,3,1,2,0,2,1,1,2,3,1,0,0,2,3,1,1,2,3,3,3,4,4,1,1,5,5,6,11,2,3,4,2,4,4,1,6,2,2,5,2,2,2,5,5,1,10,3,6,3,2,2,3,2,3,1,2,1,3,4,2,1,1,3,1,5,1,1,1,2,1,3,1,3,3,2,1,3,2,7,3,1,1,2,0,4,4,5,0,0,2,2,4,2,2,3,1,3,5,3,2,1,2,1,0,1,3,3,1,0,3,0,1,0,1,0,2,2,3,2,2,1,3,3,2,8,1,5,1,4,2,3,3,2,1,6,3,2,6,4,4,3,6,2,2,1,6,0,4,6,2,4,1,2,5,1,8,3,4,5,2,0,2,7,1,3,3,3,1,1,6,1,0,5,5,3,4,3,3,1,1,3,2,1,4,1,2,2,5,1,1,4,1,5,2,3,3,2,2,1,2,1,3,1,5,4,1,1,3,5,2,1,1,3,0,1,0,1,0,5,2,1,1,2,6,3,1,1,1,1,6,3,2,4,3,4,1,4,4,7,3,3,1,7,7,1,5,3,2,10,3,4,3,1,1,2,2,1,4,5,4,2,1,2,1,1,3,2,2,1,3,3,2,3,2,2,1,5,6,2,4,2,0,3,0,2,8,3,1,6,2,1,2,4,1,3,4,2,2,3,2,3,2,0,1,1,3,2,6,2,1,1,2,2,3,0,0,2,4,1,4,0,0,2,2,2,1,3,2,4,6,0,4,0,4,1,4,5,2,4,0,8,4,3,4,5,1,2,7,1,5,6,6,8,10,5,4,4,6,2,6,5,5,3,4,1,0,0,3,2,4,3,0,2,4,2,3,4,1,5,4,3,3,2,1,3,2,3,1,1,1,3,6,1,8,3,2,5,7,4,1,7,3,9,6,3,1,3,3,2,3,0,3,3,3,6,1,2,2,2,4,3,3,1,2,3,2,2,0,3,0,2,3,3,4,2,1,3,1,3,7,2,0,3,3,6,5,3,1,1,8,4,3,1,5,10,4,2,0,4,4,1,7,3,5,2,1,2,7,7,2,6,5,3,3,4,6,3,2,3,2,2,3,5,4,1,8,1,3,2,1,3,2,10,2,6,2,1,4,1,4,3,3,0,4,3,1,4,2,3,4,3,2,0,5,4,4,1,3,5,6,4,3,2,3,4,4,2,2,1,0,3,4,3,1,2,5,0,4,3,2,2,1,2,5,1,3,8,1,6,6,2,1,2,3,1,2,4,7,4,4,6,2,4,4,6,7,5,2,4,5,7,6,4,3,3,1,5,3,2,1,4,1,1,9,2,2,3,6,6,5,3,3,4,4,4,6,0,1,6,5,4,1,1,6,6,1,2,3,2,5,5,1,6,3,6,4,4,1,4,2,3,7,4,2,1,4,2,2,4,2,0,1,4,3,3,0,1,1,4,1,2,4,2,2,5,0,3,4,4,3,5,3,3,8,4,3,4,4,1,4,4,7,3,6,3,3,2,6,4,7,6,3,1,6,3,6,4,6,5,3,1,4,1,7,4,2,4,6,4,3,0,0,5,3,4,4,5,1,1,3,1,3,6,3,6,2,2,4,4,4,6,4,3,4,1,5,6,4,6,4,1,1,3,4,1,1,3,2,3,2,1,6,1,0,2,6,3,2,3,2,5,4,1,1,1,4,4,2,4,4,3,4,5,3,1,4,1,3,4,2,5,5,4,6,7,0,5,4,2,1,4,2,4,1,5,2,4,4,1,1,6,1,3,1,4,5,4,2,2,0,1,3,1,1,4,1,3,6,1,7,2,1,1,8,2,3,5,4,2,2,8,2,5,3,6,3,2,4,3,5,4,4,6,1,2,6,6,5,4,5,1,1,4,3,3,1,4,3,2,5,3,5,3,1,0,2,2,5,4,2,6,1,1,1,1,1,3,2,2,3,3,1,4,2,4,4,6,5,2,2,5,7,7,4,2,2,3,4,2,4,2,4,4,4,6,5,1,3,3,2,3,4,4,2,1,1,3,3,1,3,4,4,6,2,1,5,2,9,6,0,5,3,9,5,2,5,4,3,4,6,3,5,4,7,4,2,7,4,0,2,4,9,2,3,2,3,5,3,1,3,4,2,2,1,6,3,6,2,3,2,3,2,3,1,3,1,4,2,3,2,3,0,3,4,1,3,2,3,4,5,3,2,7,1,6,3,5,3,3,3,4,5,6,7,5,1,4,3,6,3,1,3,5,7,3,2,2,5,5,2,5,3,4,2,2,0,6,2,2,5,4,2,3,4,3,3,4,5,3,2,1,3,2,6,4,3,6,5,4,3,3,2,7,2,4,5,3,6,7,1,1,2,2,4,7,3,1,3,0,6,3,4,2,1,1,3,4,2,3,2,7,2,5,7,3,3,1,0,2,2,3,2,2,3,2,3,0,2,4,3,6,1,4,6,5,6,7,2,3,2,6,0,4,4,4,11,2,2,4,2,3,4,2,2,1,1,4,4,1,3,2,1,4,2,3,4,4,1,2,2,1,2,4,7,3,4,6,4,8,3,4,7,10,3,5,2,8,3,6,5,2,5,2,2,4,2,2,2,6,6,2,3,6,5,3,1,5,6,3,2,2,1,7,1,5,1,2,6,1,3,2,5,3,2,2,5,5,5,0,2,2,2,1,2,1,6,3,2,3,3,5,4,4,4,5,5,5,4,4,2,3,3,9,6,3,4,4,6,3,3,2,3,3,3,4,4,2,2,1,3,4,1,0,2,5,8,3,6,2,2,5,3,3,8,3,3,3,6,5,3,3,2,3,4,3,4,8,4,4,6,5,4,3,7,5,3,3,3,2,5,1,3,5,3,9,0,1,1,0,2,3,1,3,1,2,4,1,1,4,3,4,3,3,0,3,1,5,3,4,1,7,1,0,1,1,3,0,6,3,4,4,5,4,3,7,3,3,1,3,3,3,7,5,7,3,5,1,1,2,0,1,3,2,3,0,11,1,2,4,3,3,2,5,1,5,2,5,5,0,2,5,4,3,6,7,2,5,2,6,2,1,5,6,3,3,4,6,7,3,2,2,4,4,1,2,4,1,3,1,4,0,3,3,2,1,5,1,3,3,1,0,2,1,0,1,2,0,0,2,1,5,2,3,3,5,0,0,3,3,3,2,1,3,5,2,3,2,3,0,2,4,3,3,2,3,3,3,7,2,4,1,0,4,1,2,4,4,3,3,2,4,3,2,3,1,3,3,3,0,5,2,4,4,3,3,8,4,6,5,5,3,5,4,5,5,3,2,1,6,2,3,5,1,4,3,5,2,1,6,3,5,5,1,2,0,0,1,0,0,2,0,0,1,1,1,0,4,1,5,4,1,4,3,3,4,5,3,1,5,2,3,4,2,2,6,1,1,5,1,3,3,1,4,1,3,0,1,4,4,3,0,1,3,2,3,2,2,0,4,1,1,2,7,3,4,2,1,0,1,1,0,5,5,5,2,3,4,2,5,4,5,6,3,1,2,5,8,2,5,3,3,5,6,2,9,5,7,8,2,7,4,0,6,8,3,4,4,0,1,1,0,2,1,2,2,1,2,1,1,3,2,1,1,3,2,0,2,1,2,0,1,1,1,3,2,1,2,1,1,3,2,3,2,4,3,1,2,0,2,3,5,4,0,3,2,2,3,3,0,1,1,3,3,4,4,0,5,0,0,2,2,5,2,1,1,1,3,4,1,3,6,3,6,7,3,5,2,6,8,9,3,1,2,3,3,5,1,8,3,5,2,3,4,5,3,3,0,4,5,4,2,1,1,1,0,0,1,0,1,1,2,4,3,2,0,0,0,2,1,1,1,3,1,2,0,1,3,3,0,1,2,1,1,0,5,2,1,3,2,5,2,4,2,6,4,4,1,0,3,1,6,5,3,2,4,3,0,1,0,3,2,6,1,1,1,0,0,3,0,2,4,2,4,3,3,6,5,2,5,2,5,2,1,5,5,3,2,0,2,3,3,3,4,0,4,2,7,2,5,5,4,8,5,6,5,1,2,3,1,1,2,0,1,2,4,0,2,1,1,1,0,2,0,0,2,1,1,1,0,2,3,6,0,1,0,1,2,2,2,2,3,0,3,3,2,1,3,2,0,2,1,3,3,4,6,1,0,0,1,0,1,1,0,1,2,2,0,3,1,2,1,0,3,2,1,1,2,1,3,2,4,2,4,5,4,3,2,2,4,7,2,1,2,3,6,4,1,6,1,7,5,3,3,5,3,5,7,4,2,0,1,2,2,0,2,0,0,0,0,2,0,2,1,3,1,0,1,1,0,0,0,0,0,1,3,1,1,3,3,1,0,1,2,3,2,4,0,0,1,0,2,1,2,0,2,1,0,2,4,1,2,1,2,1,1,0,2,1,2,2,3,1,4,1,1,1,1,2,1,1,1,2,4,3,1,3,0,2,1,1,1,4,6,1,4,1,7,4,3,2,1,8,6,6,6,4,2,2,4,4,4,5,3,0,1,0,0,2,1,0,2,1,2,2,1,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,2,0,0,0,0,1,2,1,1,3,0,0,0,2,1,0,0,0,1,0,2,0,0,0,2,3,2,2,0,1,1,2,1,1,2,1,0,3,0,4,5,1,2,3,3,1,3,1,2,2,1,0,1,1,1,1,5,6,4,2,6,2,4,1,4,2,0,0,1,2,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,2,1,0,1,0,1,0,2,0,0,0,0,0,1,1,1,1,3,0,0,0,0,0,0,0,1,5,1,0,0,2,0,1,2,1,0,0,1,1,1,1,3,0,1,1,0,0,1,1,2,0,0,1,1,0,3,2,1,1,2,0,2,4,2,1,2,2,2,2,3,6,4,3,2,4,3,3,0,3,0,3,0,0,1,0,0,0,0,1,1,0,0,2,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,3,0,1,0,1,0,1,0,1,0,0,0,0,2,3,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,0,1,1,0,0,2,0,2,1,2,2,0,2,2,1,0,0,0,2,0,4,3,3,0,2,3,3,2,2,2,3,1,1,2,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,1,1,0,1,1,0,0,1,2,2,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,3,0,0,3,0,1,1,0,1,2,1,0,1,3,1,0,3,0,2,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,1,2,0,3,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,1,1,1,1,0,1,2,0,0,0,1,0,1,0,1,0,1,0,3,1,2,0,2,0,1,1,3,0,1,1,3,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,0,1,1,0,1,2,0,0,2,1,1,1,2,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,1,1,0,1,1,0,0,1,0,0,2,1,2,0,0,0,0,2,1,1,1,1,0,3,3,3,1,6,0,1,2,0,0,1,92,95,79,106,101,103,112,115,91,107,104,103,112,101,90,117,103,91,105,96,109,106,97,100,93,98,114,93,112,106,99,90,84,98,101,106,98,86,85,84,100,104,84,88,95,97,103,87,93,98,88,86,77,80,79,79,69,83,85,101,91,87,83,91,83,85,78,77,83,100,87,91,100,103,99,111,92,104,89,85,88,92,114,88,89,80,82,100,83,82,84,106,102,79,99,99,88,98,81,85,94,93,103,86,4,1,1,0,0,0,0,1,1,2,0,1,1,0,1,0,1,1,1,1,0,0,2,2,0,2,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,2,0,1,0,2,0,0,0,0,2,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,2,0,3,0,1,0,1,0,1,1,0,0,2,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,2,0,0,2,0,0,0,0,1,0,1,1,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,2,0,2,1,1,0,0,0,0,2,2,0,0,1,1,0,0,2,0,0,1,0,0,1,1,1,0,1,2,0,0,0,1,3,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,3,0,0,2,1,1,2,2,1,0,0,1,2,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,2,2,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,2,0,1,0,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,2,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,2,0,3,0,2,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,3,1,0,0,2,1,0,0,1,0,0,2,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,3,0,2,1,0,0,1,0,2,0,0,1,0,1,0,2,0,0,1,3,4,0,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2,1,0,0,0,0,1,1,0,0,2,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,2,1,2,1,0,0,0,0,1,0,1,1,2,0,0,1,0,1,2,0,0,0,1,1,0,0,1,3,0,2,1,2,1,0,1,1,1,1,1,0,1,1,0,3,0,0,0,1,0,0,0,1,1,2,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,0,1,3,1,1,0,1,1,3,1,0,0,0,1,0,0,0,0,1,0,0,2,0,3,2,2,2,1,1,0,0,4,0,0,0,1,1,2,2,0,1,0,0,0,1,0,1,0,1,0,1,1,0,2,1,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,2,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,2,2,0,1,3,0,3,1,1,1,1,0,0,4,0,1,1,1,1,0,0,1,0,0,2,2,0,2,1,0,0,1,0,2,1,0,0,2,2,0,0,2,1,1,0,1,1,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,2,1,2,0,2,0,0,2,0,1,1,0,0,1,0,2,0,0,1,0,0,0,3,3,0,1,1,2,0,0,0,1,1,1,2,1,0,2,3,2,1,0,1,2,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,2,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,3,0,0,1,1,0,0,1,1,3,2,1,0,2,0,2,0,2,1,1,1,0,0,0,3,2,0,3,1,0,0,1,0,1,0,3,0,0,0,2,1,3,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,2,0,2,0,0,1,0,0,1,0,2,2,0,0,0,1,2,0,4,1,1,2,3,0,0,2,1,0,2,0,0,2,1,1,0,1,0,0,2,0,1,2,1,4,0,2,0,1,2,0,0,0,1,0,1,0,0,1,2,1,1,0,0,3,2,1,0,1,0,0,2,0,0,0,3,0,0,1,0,0,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,0,0,2,0,0,4,0,0,0,0,0,1,0,0,0,1,1,1,2,0,3,0,0,2,2,0,1,1,0,2,0,1,0,2,2,2,1,2,0,2,1,1,1,1,1,0,3,1,0,1,2,1,2,1,0,1,1,1,0,5,2,1,4,0,0,1,2,2,0,1,0,1,1,0,1,1,0,2,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,3,0,0,2,0,0,0,0,0,1,1,2,1,3,0,2,0,1,0,1,0,2,2,3,0,0,2,0,0,0,0,0,1,1,2,1,1,3,0,0,0,1,1,0,0,0,2,0,1,2,2,1,2,3,1,2,1,2,1,1,0,1,2,0,0,2,2,0,1,0,2,1,1,2,2,1,3,2,2,1,2,0,1,0,1,1,1,0,1,1,1,2,1,3,0,1,0,1,0,0,0,0,0,0,2,4,0,2,0,0,1,1,3,0,0,0,0,1,0,0,0,0,1,0,3,2,0,0,2,5,1,0,1,0,2,3,2,3,1,1,3,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,2,0,2,1,1,2,1,1,3,1,1,0,0,2,3,2,2,2,2,1,1,1,1,0,1,1,2,1,1,1,0,3,1,0,0,1,1,0,2,2,1,2,0,1,1,0,0,1,0,4,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,2,2,3,2,2,0,2,0,2,1,0,1,2,2,0,3,2,3,4,4,2,0,0,0,2,1,3,1,1,1,0,0,1,5,1,0,3,1,1,2,2,0,2,0,1,2,0,0,1,1,0,1,2,3,1,2,1,2,1,0,1,0,0,1,1,1,4,0,0,0,3,1,0,0,2,0,4,1,0,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,3,1,2,3,0,1,0,4,1,0,1,3,1,0,2,0,0,1,0,1,3,0,2,1,3,1,0,2,3,0,3,4,2,1,2,7,2,2,1,3,0,2,2,1,1,1,3,0,0,0,1,0,0,2,1,2,1,1,3,1,1,1,2,0,1,1,0,2,1,0,1,0,0,2,1,4,1,0,2,1,1,1,2,2,0,1,0,0,1,1,1,2,1,0,2,0,1,0,1,0,0,2,0,0,0,1,0,1,1,4,1,0,0,1,1,1,2,5,0,5,2,2,2,0,5,2,2,2,3,2,3,4,0,2,2,0,0,1,2,2,1,1,1,1,1,3,0,2,3,0,1,2,0,0,3,1,1,0,1,0,1,2,3,1,3,1,2,1,1,2,1,2,1,0,2,2,0,2,1,1,1,2,0,1,2,0,3,1,2,3,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,3,1,3,2,0,0,1,2,3,0,0,1,1,1,1,0,0,1,1,0,2,1,2,0,0,2,4,2,2,2,2,1,1,1,1,0,2,4,2,2,1,3,2,0,0,0,2,4,0,1,2,4,2,1,4,4,3,2,2,1,0,1,1,2,2,0,4,2,2,1,1,1,1,2,2,2,3,2,1,1,0,1,0,2,1,1,3,0,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,1,3,2,2,0,0,1,0,2,2,2,2,2,1,1,1,2,1,3,2,2,3,1,2,3,2,1,3,2,0,2,1,0,1,3,3,1,0,0,0,2,1,1,1,0,0,2,2,0,2,1,0,0,1,1,4,3,1,1,0,4,3,3,1,0,1,2,0,0,2,0,1,4,3,0,0,1,0,1,2,0,3,0,1,0,1,4,0,0,1,3,1,2,0,0,1,1,0,2,4,1,1,3,0,1,1,1,2,1,1,2,1,2,1,0,2,2,5,2,2,3,3,1,0,1,1,0,0,0,2,1,2,1,2,2,0,0,1,4,3,4,4,0,4,1,1,2,2,0,1,2,2,1,3,0,1,0,3,1,2,1,5,1,3,1,0,1,3,1,0,0,2,0,1,1,2,2,2,4,5,1,0,2,1,2,1,0,1,1,2,0,3,0,0,1,1,3,4,2,0,3,1,1,1,1,0,3,0,0,0,0,1,2,1,1,2,4,2,1,3,4,1,0,1,1,0,0,1,1,1,1,1,4,2,4,5,1,3,2,1,1,3,9,1,2,4,2,2,2,1,1,2,1,4,1,1,1,3,1,0,1,3,3,1,3,0,3,1,3,1,2,4,2,1,2,0,1,1,0,2,2,1,1,2,2,3,2,1,6,0,2,1,1,0,0,3,3,3,2,2,3,1,1,1,1,1,1,0,0,2,1,0,1,1,2,2,1,4,2,2,1,1,3,2,2,5,3,4,1,2,2,4,2,0,2,1,3,6,1,4,4,1,0,1,3,3,0,2,3,3,0,1,1,2,3,0,2,1,0,3,1,2,1,1,0,2,3,1,2,2,1,1,2,0,1,2,2,1,4,2,1,3,0,2,0,1,2,1,2,3,1,3,0,3,3,2,2,1,0,3,2,0,1,3,0,1,2,0,1,3,0,2,4,1,0,2,1,2,0,1,2,0,0,2,4,4,5,2,0,1,4,1,0,3,3,4,0,2,2,4,3,2,4,3,1,3,2,3,3,6,1,1,3,0,1,2,3,2,3,0,2,1,2,1,2,1,0,0,0,2,2,2,1,0,4,1,2,2,0,2,1,0,3,0,4,0,2,0,1,0,0,2,2,2,0,2,2,1,0,1,2,0,0,2,1,1,1,4,4,2,0,1,1,2,1,1,0,1,0,0,0,4,1,1,1,2,2,2,2,2,1,2,2,0,4,2,2,3,1,3,1,2,1,5,1,3,0,2,2,3,3,3,2,2,0,1,0,4,3,0,1,1,2,5,1,1,1,1,0,1,1,2,4,0,2,0,1,2,1,0,3,4,4,3,3,0,1,1,2,1,0,0,2,0,0,1,2,2,0,3,0,4,2,0,3,1,3,1,1,0,1,2,0,3,1,2,1,0,0,3,1,1,1,0,0,1,0,3,0,1,2,0,1,0,0,2,3,4,0,1,0,2,2,1,4,2,0,1,4,1,1,3,1,1,0,1,4,3,2,7,2,1,2,3,2,3,0,3,1,4,0,2,1,2,2,1,2,2,4,0,3,1,1,2,1,1,2,2,5,4,2,3,1,2,2,0,1,4,1,2,2,1,3,2,1,1,0,1,1,2,3,3,2,2,0,4,1,2,1,3,1,1,0,1,1,3,1,1,2,1,1,2,0,0,2,1,2,2,0,1,1,0,8,4,1,4,2,0,1,1,4,3,2,1,1,2,1,3,2,3,4,0,4,3,2,2,0,2,2,2,1,1,2,0,0,1,2,1,1,4,2,2,0,6,1,2,0,1,0,0,1,2,3,1,1,1,0,3,6,1,5,3,2,4,3,0,2,1,3,2,1,2,3,1,0,2,3,0,3,1,4,1,2,4,1,4,0,1,0,1,2,3,2,2,4,1,1,0,0,2,2,0,3,1,3,5,2,1,4,2,0,1,2,2,3,1,1,1,1,4,0,1,4,1,3,1,5,1,5,3,3,2,2,0,1,3,0,1,4,6,3,1,2,1,2,1,1,3,4,4,1,1,1,1,0,0,1,1,2,0,4,0,3,0,1,1,0,1,2,3,2,3,1,0,0,4,4,2,2,1,3,0,5,2,4,5,3,3,3,1,0,4,0,1,1,4,0,2,0,0,0,0,2,2,0,1,4,3,1,2,5,5,4,3,1,1,3,3,4,2,5,1,1,2,1,2,3,4,2,2,3,3,2,4,1,3,2,0,8,5,0,3,4,3,3,1,3,3,6,3,2,2,1,4,0,3,1,2,2,1,1,0,2,2,0,0,1,1,2,2,3,1,1,2,1,2,2,3,0,0,3,1,3,1,2,1,1,2,4,1,3,4,0,4,1,1,4,0,3,1,1,1,3,1,1,2,1,2,4,5,6,1,1,4,3,3,3,3,1,3,2,2,2,3,2,1,4,1,5,1,2,5,1,1,1,4,1,1,3,3,1,3,1,2,3,4,4,2,4,5,3,2,3,2,2,1,3,0,3,2,5,1,0,1,1,1,1,0,4,1,2,1,3,1,2,2,1,1,1,5,4,2,4,2,8,2,2,1,4,3,0,1,1,2,0,1,2,0,7,4,3,4,4,0,1,1,2,1,3,1,3,4,1,2,3,3,3,3,2,0,1,0,2,1,2,1,2,2,3,1,1,1,1,1,1,3,0,1,4,2,3,4,0,1,4,4,2,4,1,1,3,3,3,1,0,3,4,2,3,3,1,0,2,0,2,4,5,2,5,2,0,2,4,1,2,3,4,0,2,2,2,1,1,1,0,4,4,1,3,1,0,3,0,2,1,4,3,4,2,2,1,0,2,3,3,2,0,2,2,4,2,2,2,3,1,0,1,0,5,1,1,0,1,3,2,2,2,1,4,1,3,3,0,2,1,3,3,3,3,3,2,1,1,2,3,6,4,1,3,3,1,1,1,3,2,4,2,1,3,0,3,6,2,0,3,4,5,0,3,2,1,2,2,1,2,1,2,4,6,2,3,1,1,4,2,2,2,3,1,3,1,3,1,5,1,3,0,2,1,1,2,3,2,3,2,2,1,0,6,5,2,4,2,1,2,1,3,2,2,3,1,1,1,2,0,3,6,1,1,1,7,1,0,1,0,0,1,1,3,1,0,1,2,1,3,4,2,3,1,1,3,4,1,6,0,2,2,2,3,2,2,3,3,4,1,1,5,1,3,2,2,1,1,4,1,3,0,1,1,2,4,1,0,2,0,1,4,4,4,1,3,3,2,0,2,2,3,3,0,0,3,4,2,2,2,0,3,5,0,3,1,1,1,2,3,1,0,2,2,1,2,1,3,3,1,2,1,2,3,3,0,0,1,2,1,1,3,2,1,1,2,2,1,1,0,3,1,1,1,1,1,2,2,0,1,4,2,1,1,4,4,3,4,1,0,2,2,2,1,2,5,2,3,3,2,0,1,2,3,0,2,2,2,2,2,5,1,2,2,2,1,2,3,3,3,2,1,0,3,2,3,2,5,2,4,3,0,1,2,3,1,1,1,2,2,2,0,2,1,2,2,1,1,4,3,3,2,3,2,3,0,1,0,0,1,0,0,1,2,2,0,0,1,3,2,0,0,2,2,3,2,1,2,2,2,0,2,3,3,0,1,2,0,1,3,1,2,1,3,2,2,1,1,2,5,0,1,1,5,2,2,2,1,3,2,1,3,2,2,3,2,2,3,2,0,2,1,1,3,0,2,3,2,4,3,2,1,2,0,3,1,2,2,2,2,3,6,0,0,4,1,2,1,5,5,2,4,4,5,1,6,2,3,3,0,0,1,1,3,3,0,0,2,2,0,0,1,3,2,0,0,0,1,0,1,3,2,2,0,0,2,1,1,1,3,4,0,2,1,2,0,2,1,1,4,3,2,5,1,0,3,1,3,0,2,2,1,2,0,1,4,0,1,3,2,4,2,2,1,4,2,3,0,1,1,3,1,1,3,3,1,3,3,4,2,7,2,2,2,3,2,1,4,1,4,3,4,3,3,3,4,3,2,3,3,4,2,1,1,0,3,1,0,3,0,0,1,4,1,0,0,1,2,0,1,1,3,1,2,1,0,2,1,2,3,1,1,1,3,2,0,0,3,1,0,2,1,6,2,2,1,2,2,1,0,1,1,3,2,4,0,3,1,3,1,2,1,5,0,1,1,1,3,1,1,1,3,2,1,0,2,2,1,1,1,1,4,4,0,5,1,5,1,3,1,3,3,4,3,2,3,4,3,2,4,4,3,6,2,4,3,5,1,1,2,1,1,1,0,0,0,1,2,2,0,1,2,1,0,0,0,1,2,2,0,1,0,0,0,0,1,0,0,2,3,1,2,3,0,1,1,1,1,0,2,0,1,2,1,6,0,4,1,2,1,2,1,0,0,0,1,2,2,1,2,0,1,0,3,0,2,1,1,1,1,2,3,1,1,2,1,1,1,2,1,4,2,0,3,2,2,2,5,1,2,1,3,1,2,0,4,3,4,2,3,1,0,0,2,2,1,1,0,1,0,2,0,0,0,0,0,0,2,0,0,1,0,3,2,0,1,0,2,0,3,0,1,0,2,2,0,2,3,2,3,2,1,1,2,1,4,1,2,1,0,3,0,0,0,0,1,2,1,0,0,1,2,0,2,0,3,3,3,0,0,0,0,0,0,3,1,3,1,2,3,0,1,0,1,2,1,2,2,1,3,1,4,1,4,2,1,4,0,4,1,3,2,4,3,2,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,1,1,0,1,0,0,1,0,2,0,0,2,1,0,1,2,4,2,0,0,0,1,2,1,0,2,1,3,1,2,0,0,0,0,0,2,1,1,1,1,2,0,1,0,0,3,0,1,1,3,0,0,1,0,4,3,4,1,0,1,1,4,1,0,1,1,2,1,3,1,2,2,2,2,5,7,4,2,3,4,2,3,0,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,3,2,0,0,1,1,2,0,0,1,1,0,2,0,1,1,0,2,1,1,2,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,2,2,0,1,0,1,4,1,0,3,1,1,1,2,1,2,3,3,3,2,2,3,1,2,4,0,4,4,3,3,1,2,3,1,0,2,5,3,5,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,2,1,0,1,0,2,0,2,2,2,2,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,3,1,0,2,1,1,2,0,2,2,2,2,3,5,0,3,2,2,2,1,1,0,3,0,2,0,2,1,1,5,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,2,0,3,0,0,0,2,0,0,0,1,1,1,0,0,0,2,0,0,1,1,0,0,1,2,0,0,0,1,2,2,1,0,0,0,2,1,1,0,1,3,1,1,1,2,0,2,1,1,1,0,0,1,2,1,3,3,0,3,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,2,2,2,1,0,3,1,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,1,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,2,0,1,2,2,2,0,0,1,1,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,1,1,1,0,1,1,1,0,1,1,2,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,1,0,0,0,1,0,1,1,0,0,3,0,0,1,3,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,1,0,0,1,1,2,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0,2,68,60,65,60,84,57,50,69,63,78,53,53,52,73,66,52,55,70,59,58,58,68,69,61,73,65,67,70,70,62,71,64,59,80,64,56,60,67,61,64,48,55,70,71,76,60,77,76,56,52,66,58,47,54,55,41,57,39,49,63,54,42,61,47,57,62,59,51,51,64,39,57,45,52,72,51,46,66,60,47,54,67,55,74,55,62,51,57,58,60,65,57,58,73,55,66,63,65,66,58,67,74,67,78],"extension":{"px":{"infofile":"BE0101","tableid":"TAB960","decimals":0}}}}