DodaManadReg-11212.json

{"dataset":{"dimension":{"Region":{"label":"region","category":{"index":{"0509":0,"0512":1,"0513":2,"0560":3,"0561":4,"0562":5,"0563":6,"0580":7,"0581":8,"0582":9},"label":{"0509":"Ödeshög","0512":"Ydre","0513":"Kinda","0560":"Boxholm","0561":"Åtvidaberg","0562":"Finspång","0563":"Valdemarsvik","0580":"Linköping","0581":"Norrköping","0582":"Söderköping"}}},"Fodelseregion":{"label":"region of birth","category":{"index":{"09":0,"11":1},"label":{"09":"Born in Sweden","11":"Foreign-born"}}},"Alder":{"label":"age","category":{"index":{"0-34":0,"35-64":1,"65-74":2,"75-84":3,"85+":4,"totalt":5},"label":{"0-34":"0-34 years","35-64":"35-64 years","65-74":"65-74 years","75-84":"75-84 years","85+":"85+ years","totalt":"total"}}},"Kon":{"label":"sex","category":{"index":{"1":0,"2":1},"label":{"1":"men","2":"women"}},"link":{"describedby":[{"extension":{"Kon":"Kön"}}]}},"Manad":{"label":"month","category":{"index":{"01":0,"02":1,"03":2,"04":3,"05":4,"06":5,"07":6,"08":7,"09":8,"10":9,"11":10,"12":11,"90":12},"label":{"01":"January","02":"February","03":"March","04":"April","05":"May","06":"June","07":"July","08":"August","09":"September","10":"October","11":"November","12":"December","90":"Unknown"}}},"ContentsCode":{"label":"observations","category":{"index":{"000005JV":0,"000005JU":1},"label":{"000005JV":"Age at end of year","000005JU":"Age at death"},"unit":{"000005JV":{"base":"number","decimals":0},"000005JU":{"base":"number","decimals":0}}}},"Tid":{"label":"year","category":{"index":{"2000":0,"2001":1,"2002":2,"2003":3,"2004":4,"2005":5,"2006":6,"2007":7,"2008":8,"2009":9,"2010":10,"2011":11,"2012":12,"2013":13,"2014":14,"2015":15,"2016":16,"2017":17,"2018":18,"2019":19,"2020":20,"2021":21},"label":{"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","2020":"2020","2021":"2021"}}},"id":["Region","Fodelseregion","Alder","Kon","Manad","ContentsCode","Tid"],"size":[10,2,6,2,13,2,22],"role":{"metric":["ContentsCode"],"time":["Tid"]}},"label":"Deaths per month by region, region of birth, age, sex, month, observations and year","source":"Statistics Sweden","updated":"2022-05-30T05:39:00Z","value":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,2,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,1,1,1,2,2,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,2,0,1,2,0,0,1,1,1,1,2,0,0,0,1,0,0,0,0,0,1,0,2,0,1,2,1,0,1,1,1,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,0,2,0,0,2,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,3,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,2,0,2,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,2,0,2,0,2,1,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,3,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,3,0,1,0,2,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,1,0,1,1,4,1,0,0,0,2,0,3,4,0,1,0,0,1,3,2,3,2,1,0,1,2,3,2,0,1,0,1,0,3,4,0,1,0,0,1,3,1,2,1,1,0,1,2,1,1,1,1,0,0,0,1,0,0,0,0,2,1,0,1,2,2,1,0,2,2,1,1,1,1,0,0,0,1,0,0,0,0,2,1,0,3,1,2,1,2,0,1,0,1,3,2,0,0,0,0,0,1,0,1,0,1,1,3,1,2,1,2,0,1,0,1,2,2,0,0,0,0,0,1,1,1,0,1,1,1,2,1,1,1,1,1,1,2,0,0,1,0,0,0,0,1,0,0,1,6,0,2,2,1,1,1,1,1,1,2,0,0,1,0,0,0,0,1,0,0,1,6,0,0,0,0,1,2,3,1,0,0,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,2,4,2,0,0,2,0,0,2,0,1,0,0,0,1,0,0,1,2,0,1,3,1,1,0,1,0,0,0,2,0,0,0,1,0,1,2,1,1,0,2,0,2,3,1,1,0,1,0,0,0,2,0,0,0,1,0,1,2,1,1,0,1,0,2,4,0,0,1,2,1,0,0,3,0,0,0,0,0,2,1,0,2,1,1,0,2,4,0,0,1,2,1,0,0,3,0,0,0,0,0,2,1,0,2,1,1,1,3,3,1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,2,0,2,1,1,3,2,1,0,2,0,0,0,0,0,1,0,2,0,0,0,0,2,0,2,2,2,1,2,0,1,0,4,0,0,1,1,1,1,0,0,1,0,0,0,3,0,2,2,1,2,0,2,0,4,0,1,1,1,1,1,0,0,1,0,0,0,3,0,1,1,3,0,1,2,1,2,1,0,0,0,1,1,0,0,1,1,0,2,0,0,1,1,3,0,1,2,1,2,1,0,0,0,1,1,0,0,1,1,0,2,0,0,1,1,1,2,1,1,2,1,2,0,1,2,1,0,0,0,2,1,1,3,1,1,1,1,1,1,1,1,2,1,2,0,1,2,1,0,0,0,2,1,1,3,1,1,3,0,2,4,0,3,1,1,2,3,1,1,0,0,0,0,1,0,2,1,0,2,3,0,2,4,0,3,1,1,2,3,1,1,0,1,0,0,1,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,2,0,2,1,1,0,1,4,0,1,0,3,0,0,2,0,0,0,2,1,3,0,1,1,2,1,1,0,1,4,0,1,0,3,0,0,2,0,0,1,2,0,2,2,1,2,1,1,1,0,1,0,1,0,0,2,3,0,0,1,0,0,0,0,2,2,1,2,2,1,1,0,2,0,1,0,0,3,3,0,0,1,0,0,0,0,0,1,2,1,1,1,0,0,0,0,0,1,2,0,0,0,2,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,1,2,0,0,0,2,0,0,1,0,1,0,2,2,0,0,1,2,0,1,0,1,1,3,0,1,0,1,0,0,0,1,1,0,2,2,0,0,0,2,0,1,0,1,1,4,0,1,0,1,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,2,1,0,1,0,1,2,0,2,0,0,0,1,0,1,1,2,1,1,0,1,0,2,1,0,1,0,1,2,1,2,0,0,0,3,0,1,0,3,1,1,1,0,2,1,2,2,1,1,1,1,0,0,0,1,1,4,0,1,1,3,1,1,1,0,3,2,2,2,1,1,1,0,0,0,0,1,0,0,0,1,3,0,2,1,0,1,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,1,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,3,0,0,1,1,0,0,0,0,1,2,1,3,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,2,1,3,0,1,0,0,1,0,0,1,1,1,1,0,0,0,2,0,1,0,0,0,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,2,2,0,0,1,0,0,0,0,1,2,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,2,2,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,2,1,1,2,0,0,0,1,2,2,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,2,0,0,0,1,2,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,1,4,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,1,0,1,4,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,2,2,1,1,3,0,0,1,1,4,0,1,1,1,1,1,0,1,1,0,1,1,2,1,1,0,3,0,0,1,1,4,0,1,1,1,1,2,1,3,1,2,4,0,3,1,0,0,0,2,0,0,1,1,3,1,1,1,2,2,1,2,1,2,3,0,3,1,0,0,0,2,0,0,1,1,3,1,1,1,2,2,0,2,1,3,2,0,0,3,1,0,0,0,3,0,1,1,1,2,1,4,0,2,0,2,1,3,2,0,0,3,1,0,0,0,3,0,1,1,0,2,1,4,0,2,0,1,3,1,0,0,1,1,2,1,1,1,2,0,1,1,1,0,0,0,1,1,0,1,3,1,0,0,1,1,2,1,1,1,2,0,1,1,1,0,0,0,1,1,2,0,0,0,2,1,0,1,1,0,2,2,1,0,1,0,1,0,1,1,1,1,2,0,0,0,1,0,0,1,0,0,2,2,1,0,1,0,1,0,1,1,0,1,0,1,2,0,1,1,2,1,2,2,0,1,0,0,0,1,1,0,1,1,0,1,0,0,2,0,1,1,2,1,2,2,0,1,0,0,0,1,1,0,1,1,0,1,2,1,1,0,2,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,2,1,1,0,2,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,2,2,1,2,0,1,1,1,1,0,0,1,3,1,0,1,2,1,0,0,0,0,1,2,1,2,0,1,1,1,1,0,0,1,3,1,0,1,2,1,0,0,0,0,0,2,1,1,0,2,0,1,1,2,2,0,1,0,1,0,1,3,1,1,0,1,0,2,1,1,0,1,0,1,1,1,2,0,1,0,1,0,1,3,1,1,0,1,3,0,3,2,3,2,1,0,1,3,2,0,1,1,0,1,2,1,2,1,0,0,3,0,3,2,3,2,1,0,1,3,2,0,1,1,0,1,2,1,2,1,0,0,2,1,0,1,2,3,3,0,0,0,1,1,1,0,1,0,0,1,0,3,0,1,2,1,0,1,2,3,3,0,0,0,1,1,1,0,1,0,0,1,0,3,0,1,1,0,1,2,1,0,1,1,1,0,0,1,0,3,2,1,1,2,0,1,3,1,1,0,1,2,1,0,1,1,1,0,0,1,0,2,2,1,1,2,0,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,3,1,3,4,1,1,1,1,4,3,3,3,2,1,1,2,4,3,2,1,0,1,2,1,3,4,1,1,1,1,4,3,3,3,2,1,1,2,3,3,2,2,2,0,0,1,1,1,1,3,0,2,2,2,3,3,4,1,0,3,0,1,2,2,2,0,0,0,1,1,1,2,0,2,2,2,2,3,4,1,0,3,0,1,1,0,2,1,1,2,1,3,0,3,1,2,0,3,1,0,4,1,0,3,0,0,0,0,2,1,1,2,1,2,0,3,0,2,0,3,1,0,4,1,0,3,0,0,0,0,3,1,4,4,1,1,2,3,0,2,1,2,1,1,0,2,4,2,1,1,0,0,3,1,4,4,1,1,2,3,0,2,1,1,1,1,0,2,4,2,1,1,0,0,1,0,0,1,1,2,2,3,0,0,2,3,1,2,2,2,4,0,3,0,0,0,1,0,0,1,0,2,2,2,0,0,2,3,1,2,2,2,3,0,3,0,4,1,1,0,4,1,1,2,1,0,2,3,1,2,1,0,1,1,2,1,2,2,3,0,1,0,3,1,1,2,1,0,1,2,1,2,1,0,1,1,2,1,2,2,1,0,3,2,1,1,3,1,3,0,3,1,1,0,0,1,2,1,4,0,1,2,1,0,2,2,1,1,3,1,3,0,3,1,1,0,0,1,2,1,4,0,1,2,1,2,1,0,0,0,2,1,1,2,1,2,1,1,2,0,1,0,4,3,1,1,1,2,1,0,0,0,2,1,1,2,1,2,1,1,2,0,1,0,4,3,1,1,2,1,3,1,1,1,2,1,1,2,4,2,0,1,3,0,1,0,1,2,2,4,2,1,3,1,1,1,2,1,1,2,4,2,0,1,2,0,1,0,1,2,2,4,1,2,2,1,2,0,2,3,1,1,1,1,1,2,0,0,2,2,1,0,0,2,1,2,2,1,2,0,2,3,1,1,1,1,1,2,0,0,2,2,1,0,0,2,1,0,3,1,2,1,1,1,4,1,0,1,2,0,1,1,1,0,1,1,1,0,1,0,3,1,2,1,1,1,4,1,0,1,2,0,1,1,1,0,1,1,1,0,3,0,3,1,3,0,0,0,4,1,0,2,3,5,3,2,1,3,0,1,0,1,3,0,3,1,3,0,0,0,4,1,0,2,3,5,3,2,1,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,6,4,0,3,5,7,4,1,1,3,3,2,4,6,5,1,2,2,3,6,5,4,6,4,0,3,5,7,4,1,1,3,3,2,4,6,5,1,2,2,3,6,4,4,4,2,2,6,2,5,3,1,1,1,3,1,1,2,3,4,1,4,2,4,4,4,4,2,2,6,2,5,3,1,1,1,3,1,1,2,3,4,1,4,2,4,5,1,4,3,5,5,1,1,6,5,3,1,1,5,1,3,2,1,3,2,5,2,5,1,4,3,5,5,1,1,6,5,3,1,1,5,1,3,2,1,3,2,5,2,4,3,2,5,2,2,1,2,4,3,3,2,1,3,0,2,2,1,2,1,7,1,4,3,2,5,2,2,1,2,4,3,3,2,1,3,0,2,2,1,2,1,7,1,1,2,1,1,2,5,2,0,4,3,0,3,6,2,2,2,1,1,3,1,1,2,1,2,1,1,2,5,2,0,4,3,0,3,6,2,2,2,1,1,3,1,1,2,3,1,3,6,1,3,1,4,1,3,4,2,2,1,0,1,2,3,2,4,3,1,3,1,3,6,1,3,1,4,1,3,4,2,2,1,0,1,2,3,2,4,3,1,3,2,5,5,1,3,1,3,4,0,1,5,2,0,0,0,1,4,2,4,2,1,3,2,5,5,1,3,1,3,4,0,1,5,2,0,0,0,1,4,2,4,2,1,5,3,4,6,2,1,3,2,2,0,1,3,6,2,3,1,4,1,0,2,1,2,5,3,4,6,2,1,3,2,2,0,1,3,6,2,3,1,4,1,0,2,1,2,2,4,2,3,2,4,0,8,1,3,5,1,3,1,1,0,2,4,1,2,3,1,2,4,2,3,2,4,0,8,1,3,5,1,3,1,1,0,2,4,1,2,3,1,5,2,7,3,4,7,2,3,2,3,2,0,3,3,2,1,5,3,3,3,0,1,5,2,7,3,4,7,2,3,2,3,2,0,3,3,2,1,5,3,3,3,0,1,4,3,2,4,3,6,5,3,4,0,3,4,2,0,2,2,2,2,3,7,1,3,4,3,2,4,3,6,5,3,4,0,3,4,2,0,2,2,2,2,3,7,1,3,4,1,4,7,2,4,2,3,3,5,1,2,0,4,4,2,3,6,2,2,3,4,4,1,4,7,2,4,2,3,3,5,1,2,0,4,4,2,3,6,2,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,0,5,3,3,5,6,1,2,5,1,6,3,6,3,2,3,3,3,4,5,3,5,0,5,3,3,5,6,1,2,5,1,6,3,6,3,2,3,3,3,4,5,2,4,5,2,2,4,2,3,3,4,0,3,2,3,5,7,4,1,1,3,0,1,2,4,5,2,2,4,2,3,3,4,0,3,2,3,5,7,4,1,1,3,0,1,1,0,3,3,3,3,2,5,0,4,1,2,1,5,2,0,4,3,0,5,2,0,1,0,3,3,3,3,2,5,0,4,1,2,1,5,2,0,4,3,0,5,2,0,1,0,5,3,7,4,2,3,5,4,1,4,4,6,2,2,1,3,4,3,1,3,1,0,5,3,7,4,2,3,5,4,1,4,4,6,2,2,1,3,4,3,1,3,2,2,1,2,1,3,1,3,2,3,0,4,3,3,3,3,4,4,5,2,3,0,2,2,1,2,1,3,1,3,2,3,0,4,3,3,3,3,4,4,5,2,3,0,4,4,1,1,5,4,2,3,2,0,5,5,5,4,2,1,2,5,2,1,2,3,4,4,1,1,5,4,2,3,2,0,5,5,5,4,2,1,2,5,2,1,2,3,1,0,5,4,4,1,5,4,3,1,3,1,1,0,0,2,2,1,4,4,1,2,1,0,5,4,4,1,5,4,3,1,3,1,1,0,0,2,2,1,4,4,1,2,3,3,1,1,0,0,3,4,2,6,1,3,1,1,3,2,2,1,7,5,2,1,3,3,1,1,0,0,3,4,2,6,1,3,1,1,3,2,2,1,7,5,2,1,2,1,5,1,2,1,3,1,2,3,4,2,2,3,5,1,2,1,1,2,4,6,2,1,5,1,2,1,3,1,2,3,4,2,2,3,5,1,2,1,1,2,4,6,2,5,4,4,3,0,3,4,2,1,1,2,2,2,1,0,2,2,1,2,2,3,2,5,4,4,3,0,3,4,2,1,1,2,2,2,1,0,2,2,1,2,2,3,2,2,5,5,4,1,1,2,7,4,3,1,3,0,1,1,2,1,1,2,2,0,2,2,5,5,4,1,1,2,7,4,3,1,3,0,1,1,2,1,1,2,2,0,6,2,3,1,3,0,2,1,5,4,0,3,5,6,7,2,1,4,0,2,1,3,6,2,3,1,3,0,2,1,5,4,0,3,5,6,7,2,1,4,0,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,1,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,3,1,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,1,1,1,1,2,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,2,1,1,2,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,2,1,1,0,2,0,1,1,0,0,0,2,2,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,2,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,2,0,0,2,0,3,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,2,0,0,3,0,3,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,1,3,2,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,3,2,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,2,1,2,2,1,1,0,0,0,0,1,1,0,1,0,1,2,2,1,1,0,1,2,1,1,2,1,1,0,0,0,0,1,1,0,1,0,1,2,2,1,1,0,1,0,2,0,2,0,0,1,3,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,2,0,2,0,0,1,3,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,2,0,0,1,1,1,0,0,2,0,0,1,1,0,1,1,0,0,1,0,1,1,2,0,0,1,1,1,0,0,2,0,0,1,1,0,1,0,0,0,1,0,1,1,2,0,1,2,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,1,2,0,1,2,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,1,4,1,1,0,1,1,1,1,0,0,2,2,1,1,0,1,0,0,0,1,0,1,4,1,1,0,1,1,1,1,0,0,2,2,1,1,0,1,0,0,0,1,3,1,0,2,2,1,2,2,0,1,2,0,1,0,0,0,0,0,0,0,1,0,3,1,0,2,2,1,2,2,0,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,2,1,1,0,0,1,3,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,1,0,0,1,3,0,1,0,1,1,0,1,1,0,3,1,2,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,1,3,1,2,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,3,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,3,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,2,1,0,1,1,1,0,0,1,0,2,2,0,0,0,1,1,0,1,2,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,2,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,3,0,0,0,1,1,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,3,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,3,0,1,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,3,1,1,2,0,0,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,1,0,2,0,1,0,0,1,3,0,1,0,0,1,0,1,0,0,0,0,2,0,1,0,2,0,1,0,0,1,3,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,5,1,1,1,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,1,5,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,3,0,0,2,0,1,1,2,1,0,0,1,0,0,0,0,1,2,0,0,1,0,3,0,0,2,0,1,1,2,1,0,0,1,2,0,2,0,2,2,1,2,2,1,1,1,1,1,0,0,0,0,3,0,0,1,2,0,1,0,2,2,1,2,2,1,1,1,1,0,0,0,0,0,3,2,0,2,1,0,1,1,2,0,1,0,2,1,1,1,0,0,0,0,2,1,0,2,0,2,0,0,1,1,2,0,1,0,2,1,1,1,0,0,0,0,2,1,0,0,4,1,0,0,1,0,1,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,4,1,0,0,1,0,1,0,1,0,0,2,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,1,1,2,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,1,1,2,0,0,0,2,0,0,0,0,1,0,2,0,1,0,1,0,1,1,1,0,0,2,2,2,0,1,0,0,0,0,1,0,2,0,1,0,1,0,1,1,1,0,0,2,2,2,0,1,0,2,0,2,0,0,1,0,2,2,0,0,1,2,0,0,1,1,0,0,1,0,0,2,0,2,0,0,1,0,2,2,0,0,1,2,0,0,1,1,0,0,1,0,0,1,1,1,1,0,1,1,2,0,1,0,1,1,1,2,0,0,2,2,2,1,0,1,1,1,1,0,1,1,2,0,1,0,1,1,1,2,0,0,2,2,2,1,1,3,1,0,0,0,0,1,0,2,2,0,1,1,0,1,2,0,0,1,1,0,1,3,1,0,0,0,0,1,0,2,2,0,1,1,0,1,2,0,0,1,1,0,1,0,0,1,0,1,2,0,0,0,2,0,0,1,1,0,2,0,1,0,0,1,1,0,0,1,0,1,2,0,0,0,2,0,0,1,1,0,2,0,1,0,0,1,2,1,1,1,0,0,0,1,0,0,1,0,2,2,1,0,0,0,0,3,1,0,2,1,1,1,0,0,0,1,0,0,1,0,2,2,1,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,4,1,1,0,3,1,2,2,2,2,2,1,0,0,1,0,1,0,1,0,1,0,4,1,1,0,2,1,2,2,2,1,2,0,3,0,3,4,0,2,1,3,2,2,2,0,0,0,0,3,1,5,3,0,1,0,3,0,2,4,0,2,1,2,1,2,2,0,0,0,0,3,1,4,2,0,1,1,3,0,2,1,3,2,1,0,2,0,1,2,5,1,2,0,1,2,2,0,0,1,3,0,2,1,3,1,1,0,2,0,1,2,5,1,2,0,1,1,2,0,0,0,1,1,1,0,2,1,1,4,0,1,5,2,1,0,0,2,6,0,0,4,0,0,1,1,1,0,2,1,1,4,0,1,3,2,1,0,0,2,6,0,0,3,0,0,2,0,3,0,2,1,0,1,1,1,1,2,0,2,0,0,2,0,2,1,1,0,2,0,3,0,2,1,0,1,1,1,1,2,0,2,0,0,2,0,2,1,1,0,1,1,3,0,2,0,1,2,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,3,0,2,0,1,2,1,1,1,0,0,1,1,0,0,1,0,0,0,2,1,2,2,1,2,0,1,1,2,1,0,1,2,2,2,0,0,1,2,0,0,2,1,2,2,1,1,0,1,1,2,1,0,1,2,2,2,0,0,1,2,0,0,0,2,1,0,0,1,1,1,3,3,0,0,1,1,0,2,0,2,0,0,0,1,0,2,0,0,0,1,1,1,3,3,0,0,1,1,0,2,0,2,0,0,0,1,3,4,2,0,0,1,3,3,1,3,0,1,1,0,2,0,2,1,0,2,0,0,3,4,2,0,0,1,3,3,1,3,0,1,1,0,2,0,1,1,0,2,0,0,0,1,0,2,0,1,1,3,0,0,1,0,1,1,2,1,0,0,1,0,0,0,0,1,0,2,0,1,1,3,0,0,1,0,1,1,2,1,0,0,1,0,0,0,0,1,1,0,0,2,1,3,0,1,2,0,0,2,1,1,0,0,2,1,2,2,0,1,1,0,0,2,1,3,0,1,2,0,0,2,1,1,0,0,2,1,1,2,2,0,0,2,3,0,1,4,1,1,1,2,2,1,1,0,0,2,0,1,0,0,2,0,0,2,3,0,1,4,1,1,1,2,2,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,1,5,1,4,1,0,0,1,9,3,1,1,0,1,0,2,0,0,1,3,3,4,1,5,1,4,1,0,0,1,9,3,1,1,0,1,0,2,0,0,1,3,2,1,3,2,1,1,1,2,3,1,0,1,2,5,1,1,4,0,2,1,3,1,2,1,3,2,1,1,1,2,3,1,0,1,2,5,1,1,4,0,2,1,3,1,0,3,4,2,0,4,0,5,2,3,2,3,1,2,3,4,2,1,1,1,1,3,0,3,4,2,0,4,0,5,2,3,2,3,1,2,3,4,2,1,1,1,1,3,3,1,7,4,2,3,3,3,1,3,1,2,2,1,1,3,1,4,1,3,2,1,3,1,7,4,2,3,3,3,1,3,1,2,2,1,1,3,1,4,1,3,2,1,2,6,4,2,1,2,0,1,1,1,1,2,3,2,3,3,3,3,3,1,1,1,2,6,4,2,1,2,0,1,1,1,1,2,3,2,3,3,3,3,3,1,1,1,2,2,0,3,1,0,3,3,5,1,1,1,2,3,0,2,2,3,0,0,1,2,2,2,0,3,1,0,3,3,5,1,1,1,2,3,0,2,2,3,0,0,1,2,1,2,0,1,2,2,3,0,1,2,1,1,3,2,1,1,1,2,2,3,1,2,1,2,0,1,2,2,3,0,1,2,1,1,3,2,1,1,1,2,2,3,1,2,1,4,0,3,2,0,2,1,2,5,1,2,1,3,2,0,1,2,0,0,2,0,1,4,0,3,2,0,2,1,2,5,1,2,1,3,2,0,1,2,0,0,2,0,2,3,7,2,4,3,3,3,3,1,1,0,4,3,2,3,0,2,2,3,2,3,2,3,7,2,4,3,3,3,3,1,1,0,4,3,2,3,0,2,2,3,2,3,4,5,2,4,3,2,2,3,0,4,5,1,2,1,0,1,2,1,1,1,3,0,4,5,2,4,3,2,2,3,0,4,5,1,2,1,0,1,2,1,1,1,3,0,2,0,0,2,1,2,4,2,1,0,2,1,4,1,2,1,4,1,3,1,2,2,2,0,0,2,1,2,4,2,1,0,2,1,4,1,2,1,4,1,3,1,2,2,5,3,4,1,0,1,1,3,0,3,1,2,4,2,2,0,2,1,3,8,1,1,5,3,4,1,0,1,1,3,0,3,1,2,4,2,2,0,2,1,3,8,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,2,3,1,2,2,2,0,5,2,2,0,4,1,3,5,3,3,3,2,1,0,1,2,3,1,2,2,2,0,5,2,2,0,4,1,3,5,3,3,3,0,4,0,4,4,1,2,2,4,3,2,3,1,1,1,0,5,1,7,4,1,1,0,4,0,4,4,1,2,2,4,3,2,3,1,1,1,0,5,1,7,4,1,1,1,5,1,3,3,5,3,1,0,3,1,1,2,5,3,3,1,1,3,4,1,0,1,5,1,3,3,5,3,1,0,3,1,1,2,5,3,3,1,1,3,4,1,0,1,1,3,3,1,2,1,1,6,1,2,5,3,1,2,1,3,6,1,0,4,0,1,1,3,3,1,2,1,1,6,1,2,5,3,1,2,1,3,6,1,0,4,0,2,2,1,3,1,2,1,0,2,1,2,2,2,0,3,0,0,3,0,3,2,2,2,2,1,3,1,2,1,0,2,1,2,2,2,0,3,0,0,3,0,3,2,2,0,1,4,3,1,3,1,3,4,2,2,1,1,0,1,3,0,0,1,1,1,1,0,1,4,3,1,3,1,3,4,2,2,1,1,0,1,3,0,0,1,1,1,1,3,2,4,2,1,2,0,1,1,3,1,1,3,2,2,3,2,0,2,3,0,1,3,2,4,2,1,2,0,1,1,3,1,1,3,2,2,3,2,0,2,3,0,1,1,3,1,0,1,1,1,1,3,3,1,1,2,1,0,2,0,2,2,2,2,1,1,3,1,0,1,1,1,1,3,3,1,1,2,1,0,2,0,2,2,2,2,1,5,5,3,0,0,2,4,4,1,3,0,2,3,1,3,4,2,3,4,2,0,1,5,5,3,0,0,2,4,4,1,3,0,2,3,1,3,4,2,3,4,2,0,1,0,2,0,6,1,1,1,5,1,1,1,1,1,1,2,1,1,1,2,0,0,1,0,2,0,6,1,1,1,5,1,1,1,1,1,1,2,1,1,1,2,0,0,1,1,2,1,1,0,3,3,3,1,1,3,2,0,2,1,2,0,3,3,2,4,3,1,2,1,1,0,3,3,3,1,1,3,2,0,2,1,2,0,3,3,2,4,3,3,2,2,2,5,0,1,6,4,2,2,2,2,3,1,1,0,3,0,1,2,1,3,2,2,2,5,0,1,6,4,2,2,2,2,3,1,1,0,3,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,0,1,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,2,0,1,1,1,3,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,3,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,2,0,1,1,0,2,0,1,0,0,1,1,1,2,1,0,1,0,0,0,0,1,2,0,1,1,0,1,0,1,0,1,1,1,1,2,1,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,0,1,0,0,1,2,0,1,0,0,2,0,0,2,0,0,4,0,0,2,1,0,0,0,0,1,0,0,2,1,0,0,2,0,0,2,0,0,4,0,0,2,1,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,3,2,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,4,0,0,0,2,0,0,1,1,0,2,1,1,2,1,1,0,0,0,1,0,2,3,0,0,0,2,0,0,1,1,0,3,1,1,2,1,1,0,0,0,1,1,1,0,0,3,0,1,1,0,1,1,1,0,2,0,0,0,1,0,1,2,2,1,1,0,0,3,0,1,1,0,1,0,1,0,2,0,0,1,1,0,0,3,0,0,1,1,2,0,1,0,1,1,1,1,3,0,0,1,2,2,1,0,2,0,0,0,1,1,2,0,1,1,1,2,1,1,4,0,0,2,2,2,1,0,2,0,0,0,0,1,0,0,2,1,1,0,1,2,1,1,0,0,2,1,1,0,2,3,0,0,0,1,0,0,1,1,1,0,1,2,1,1,0,0,1,1,1,0,2,3,1,0,3,0,0,1,0,0,1,0,1,2,1,0,0,1,2,1,3,2,0,1,1,0,3,1,0,1,0,0,1,0,1,2,1,0,0,1,2,1,4,2,0,1,2,0,1,0,1,0,1,1,1,0,1,1,1,1,3,0,0,3,1,0,2,0,2,0,1,0,1,0,1,1,1,0,1,0,1,1,4,0,0,4,1,0,2,0,0,0,1,1,1,1,1,1,2,2,1,1,0,0,2,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,2,2,1,1,0,0,2,1,1,0,1,1,0,1,0,2,1,1,0,1,0,1,0,2,1,0,0,0,1,1,1,0,1,2,1,0,0,1,1,1,0,1,0,1,0,2,1,0,2,0,1,2,1,0,1,2,1,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,2,1,1,3,1,0,1,1,1,0,1,0,0,0,0,1,2,0,1,0,3,0,2,1,1,3,1,0,1,1,1,0,1,0,0,0,0,1,2,0,1,0,3,0,0,1,2,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,3,1,1,0,0,1,2,0,2,0,2,0,0,0,0,0,1,0,0,0,0,0,3,1,1,0,0,0,1,0,0,3,0,1,0,0,3,1,2,1,1,0,1,0,0,2,1,3,0,0,1,0,0,3,0,1,0,0,3,1,2,1,1,0,1,0,0,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,1,0,1,2,1,0,2,1,0,0,1,0,0,0,4,0,0,0,0,1,0,0,1,0,1,2,1,0,2,0,0,0,1,0,0,0,0,1,1,0,2,0,2,1,1,1,0,0,2,1,2,0,2,0,1,0,0,3,0,1,1,0,2,0,3,1,1,1,0,0,2,1,2,0,2,0,2,0,0,3,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,0,0,2,1,1,1,2,0,2,1,0,0,0,0,1,0,0,0,0,0,0,2,2,0,1,1,2,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,1,2,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,0,2,1,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,2,1,1,0,1,0,1,0,0,1,0,2,1,1,0,0,0,1,2,0,1,0,0,0,2,2,0,2,0,2,0,1,1,0,1,1,0,0,0,1,2,0,1,0,1,0,1,2,0,2,0,2,0,1,1,0,2,0,0,1,0,0,1,0,0,1,0,0,1,2,2,0,0,0,2,2,0,0,2,0,0,1,0,0,1,0,0,1,0,0,1,2,2,1,0,0,2,2,0,0,0,0,0,0,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,2,1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,2,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,2,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,4,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,4,1,1,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,2,0,0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,3,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,1,2,3,1,3,2,2,3,1,3,2,1,1,0,2,1,2,3,3,1,2,0,1,2,3,1,3,2,3,3,1,3,2,2,1,0,2,1,2,3,2,2,1,2,1,1,2,0,3,3,1,0,1,2,0,1,0,4,0,2,1,4,1,2,1,3,1,1,2,0,4,3,1,1,2,2,0,1,0,3,0,2,2,3,0,1,1,2,4,1,4,2,1,3,2,2,3,2,2,2,3,1,0,1,0,1,0,1,2,2,4,1,4,1,2,2,2,2,2,2,2,1,3,1,0,1,0,1,1,1,1,1,1,3,3,1,2,2,3,1,1,0,0,1,3,1,1,1,0,1,1,1,1,2,1,4,3,1,2,3,3,1,1,0,0,1,3,1,1,2,0,1,1,2,2,3,2,1,2,0,0,1,4,3,0,1,0,6,0,0,1,1,3,3,1,2,2,3,2,1,2,0,0,1,4,3,0,1,0,6,0,0,0,1,3,3,1,2,1,1,2,1,1,0,0,0,0,1,1,1,3,1,1,3,1,1,1,3,1,2,1,1,2,1,1,0,0,0,0,1,1,1,2,1,1,2,1,1,1,3,1,1,1,3,3,1,1,2,2,3,1,2,1,0,0,0,2,2,0,2,2,2,2,1,1,3,3,1,2,2,2,3,1,2,1,0,0,1,2,2,0,2,2,2,1,0,3,0,2,0,1,1,0,3,1,2,3,0,2,3,0,1,0,2,1,1,1,0,3,0,2,0,1,1,0,3,1,2,1,0,2,2,0,1,0,2,1,1,1,0,1,2,1,6,0,1,0,0,0,0,0,2,0,1,1,0,5,1,2,2,1,0,1,2,1,6,0,1,0,0,0,0,0,2,0,1,1,0,5,1,2,2,4,0,3,2,1,2,5,3,2,4,1,0,3,1,1,0,0,0,3,0,3,0,4,0,3,3,1,2,5,3,2,4,1,0,3,1,1,0,0,0,3,1,3,0,2,6,2,2,1,0,2,0,1,0,6,1,3,1,1,2,1,2,1,0,2,3,2,6,2,2,1,0,2,0,1,0,6,1,3,1,1,2,1,2,1,0,2,3,2,1,3,1,1,1,2,0,1,2,0,2,0,2,1,5,0,1,2,2,2,1,2,1,3,1,1,1,2,0,1,2,0,2,0,2,1,5,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,4,1,0,3,3,0,1,1,0,1,1,2,1,0,1,1,1,1,1,1,2,3,4,1,0,3,3,0,2,1,1,1,1,2,2,1,1,1,1,1,1,1,4,2,2,0,1,0,1,0,0,2,1,3,1,2,0,1,2,0,1,3,1,2,4,2,2,1,1,1,0,0,0,2,1,3,1,2,0,1,2,0,0,3,1,2,1,1,3,2,3,0,2,2,1,0,2,1,0,1,2,2,2,2,2,0,0,0,2,1,3,2,3,0,2,2,1,0,3,1,0,1,2,2,2,2,1,0,0,0,1,1,2,5,1,1,0,1,2,1,1,3,3,1,0,2,0,2,2,1,0,0,1,1,2,5,1,0,0,1,2,1,1,3,3,2,0,2,0,2,2,1,0,0,1,1,1,0,0,1,0,1,2,0,2,1,1,1,2,1,0,1,2,0,1,0,1,1,1,0,1,1,0,1,2,0,2,1,1,1,2,1,0,1,2,0,2,1,2,1,1,1,1,1,1,0,0,1,0,0,0,1,2,1,3,1,2,1,2,0,3,1,1,1,1,1,1,0,0,2,0,0,0,1,1,2,3,2,2,1,2,0,2,0,3,0,3,0,0,2,1,1,1,2,0,0,2,2,0,2,4,1,1,2,2,0,3,0,3,0,0,3,1,1,0,2,0,0,2,2,0,2,4,1,1,2,3,3,2,0,1,1,1,1,1,1,4,1,0,1,2,1,0,3,0,0,1,0,3,3,2,0,1,1,1,1,1,1,4,1,0,1,2,0,0,3,0,0,1,0,1,4,0,0,1,0,1,0,3,2,2,1,1,0,2,0,0,1,1,0,2,3,1,4,0,0,1,0,1,0,3,2,2,1,1,1,2,0,0,2,1,0,2,3,2,1,2,0,0,1,0,3,1,1,0,0,1,0,1,0,1,0,1,1,2,3,2,1,2,0,0,1,0,3,1,1,0,0,1,0,1,0,0,0,0,1,2,3,0,1,4,2,2,0,1,0,0,1,0,3,0,0,1,1,0,0,2,2,1,1,0,1,4,3,2,0,1,0,0,1,0,3,0,0,2,1,0,0,2,2,1,1,2,1,1,3,0,1,0,1,0,3,0,1,0,1,0,3,1,0,1,0,1,3,2,1,1,3,1,1,0,1,0,3,0,1,0,1,0,3,1,0,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,2,4,1,5,0,1,1,1,1,2,2,5,0,5,4,2,4,3,1,2,2,3,2,4,1,5,0,1,1,1,0,2,2,4,0,4,4,2,4,3,1,2,1,1,1,1,0,7,2,2,1,1,3,3,3,4,3,3,1,3,3,0,3,4,1,1,1,0,0,7,2,2,0,1,3,2,2,4,3,3,1,3,3,0,2,4,1,1,4,4,3,1,3,4,3,2,1,3,2,1,2,0,2,4,3,1,1,4,1,1,3,4,3,1,3,4,2,2,1,3,2,1,2,0,2,4,3,1,1,4,1,2,3,3,1,5,2,2,3,5,2,0,0,2,1,0,0,2,0,1,2,0,1,2,3,2,1,4,2,2,3,4,2,0,0,2,1,0,0,2,0,0,2,0,0,2,1,5,1,1,2,4,1,2,2,2,1,1,1,5,0,3,2,2,2,3,0,2,1,4,1,1,2,4,1,2,2,2,1,1,1,5,0,3,2,2,2,3,1,2,0,1,2,1,0,0,2,3,6,0,4,0,4,1,0,0,2,1,1,2,1,2,0,1,2,1,0,0,2,3,6,0,4,0,4,1,0,0,2,1,1,2,2,3,4,1,3,2,1,3,3,3,4,4,2,3,2,3,0,3,2,3,2,2,1,3,4,1,3,2,0,3,3,3,4,4,2,3,2,2,0,3,2,3,2,2,1,0,0,1,1,1,1,1,0,0,3,2,1,1,1,1,1,0,0,3,1,0,1,0,0,1,1,1,1,1,0,0,3,2,1,1,1,1,1,0,0,3,1,0,2,1,2,2,1,2,3,0,0,0,2,1,1,2,3,0,1,2,1,2,3,2,2,1,2,2,1,2,3,0,0,0,2,1,1,2,3,0,1,2,1,2,3,2,1,1,0,2,1,2,3,2,3,3,1,2,0,0,1,1,1,4,5,2,2,4,1,1,0,1,1,2,3,2,3,3,1,2,0,0,1,1,1,4,5,1,2,4,1,0,3,1,0,3,1,1,2,3,0,1,1,3,1,0,3,1,0,5,2,3,1,0,3,1,0,3,1,1,2,3,0,1,1,3,1,0,3,1,0,5,2,3,1,2,1,6,2,0,1,3,4,2,1,2,1,1,2,3,3,5,1,2,4,1,1,2,1,6,2,0,1,3,4,2,1,2,1,1,2,3,3,5,1,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,2,5,3,2,5,0,6,4,6,1,6,2,1,3,2,5,5,3,0,4,8,5,2,5,3,2,5,0,5,4,5,1,6,2,0,2,2,5,5,3,0,4,3,3,4,6,2,4,3,2,5,7,0,4,4,3,2,3,3,2,2,1,2,3,3,3,4,5,2,3,3,2,5,7,0,4,4,3,2,3,3,2,2,1,2,3,6,1,2,3,4,1,6,2,5,5,2,3,6,6,1,3,3,4,7,1,2,5,5,1,2,3,4,1,6,2,5,5,1,3,6,6,1,3,3,4,7,1,2,5,2,5,4,2,3,2,2,2,1,6,1,4,5,5,3,3,1,5,2,2,9,1,2,5,4,2,3,2,2,2,1,6,1,4,5,4,3,3,1,5,2,2,9,1,5,1,3,2,5,3,0,5,1,0,3,1,2,2,0,2,2,3,2,3,2,3,5,1,3,2,4,3,0,5,1,0,3,1,2,2,0,2,2,3,2,3,1,2,3,1,0,2,1,2,4,4,1,2,1,2,2,4,0,3,2,2,3,3,0,0,2,1,0,2,1,2,4,4,1,1,1,2,2,4,0,2,2,1,3,3,0,0,4,1,0,3,4,2,1,4,4,3,1,3,5,0,2,2,0,1,0,1,0,4,4,1,0,3,4,2,1,3,4,3,1,3,5,0,2,2,0,1,0,1,0,4,4,0,2,5,2,6,4,1,1,6,7,2,0,1,2,3,5,5,2,3,1,2,4,0,2,5,2,6,4,1,1,6,7,2,0,1,2,3,5,5,2,3,1,2,1,3,5,2,3,3,4,3,3,3,0,1,2,2,1,1,5,4,2,2,1,4,1,3,5,2,3,3,4,3,3,3,0,1,2,1,1,1,5,3,2,2,1,4,3,1,5,1,4,1,1,2,5,2,0,3,3,0,1,1,4,1,2,2,1,2,3,1,5,1,4,1,1,2,5,2,0,3,3,0,1,1,4,1,2,2,1,2,2,6,1,4,3,1,6,4,1,3,1,4,5,4,1,3,4,3,5,3,1,1,2,6,1,3,3,1,6,4,1,3,1,4,5,4,0,3,4,3,5,3,1,1,1,2,6,0,7,2,2,4,8,2,8,3,3,7,4,0,8,1,2,2,0,2,1,2,6,0,6,2,2,4,8,2,8,3,3,7,4,0,8,1,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,8,9,2,7,5,5,4,3,5,6,3,11,3,7,8,3,7,5,3,6,8,4,8,9,2,7,5,5,4,3,5,6,3,11,3,7,8,3,7,5,3,6,5,5,4,4,1,11,5,4,6,4,7,4,6,8,6,4,1,8,5,2,6,10,5,5,4,4,1,11,5,4,6,4,7,4,6,8,6,4,1,8,5,2,6,10,2,3,7,10,9,3,8,7,5,6,4,6,8,4,5,4,9,8,4,3,4,5,2,3,7,10,9,3,8,7,5,6,4,6,8,4,5,4,9,8,4,3,4,5,2,3,5,5,3,9,8,4,7,7,7,3,2,3,1,1,6,4,2,3,4,4,2,3,5,5,3,9,8,4,7,7,7,3,2,3,1,1,6,4,2,3,4,4,2,4,6,8,4,3,4,4,2,3,7,8,2,2,3,12,2,4,6,6,6,7,2,4,6,8,4,3,4,4,2,3,7,8,2,2,3,12,2,4,6,6,6,7,4,5,4,2,6,3,3,3,3,4,8,2,7,3,11,4,2,6,5,2,4,5,4,5,4,2,6,3,3,3,3,4,8,2,7,3,11,4,2,6,5,2,4,5,4,4,6,7,8,4,3,6,7,8,7,7,3,5,5,4,4,5,3,7,4,5,4,4,6,7,8,4,3,6,7,8,7,7,3,5,5,4,4,5,3,7,4,5,2,2,5,2,3,2,4,3,0,5,6,4,4,2,4,5,2,1,1,8,3,2,2,2,5,2,3,2,4,3,0,5,6,4,4,2,4,5,2,1,1,8,3,2,3,2,5,6,3,8,4,2,1,1,2,2,2,5,4,2,2,2,7,3,6,5,3,2,5,6,3,8,4,2,1,1,2,2,2,5,4,2,2,2,7,3,6,5,7,2,4,7,3,6,9,6,8,7,4,2,3,1,4,2,4,4,9,3,10,4,7,2,4,7,3,6,9,6,8,7,4,2,3,1,4,2,4,4,9,3,10,4,4,7,7,5,3,3,7,2,3,7,6,3,7,6,2,2,4,3,5,6,5,8,4,7,7,5,3,3,7,2,3,7,6,3,7,6,2,2,4,3,5,6,5,8,4,4,6,7,3,5,4,4,5,4,4,5,5,4,4,8,4,7,3,6,7,5,4,4,6,7,3,5,4,4,5,4,4,5,5,4,4,8,4,7,3,6,7,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,14,8,6,7,4,7,9,1,9,5,7,4,8,4,4,4,3,6,7,5,1,5,14,8,6,7,4,7,9,1,9,5,7,4,8,4,4,4,3,6,7,5,1,5,7,6,7,6,5,5,6,3,6,10,1,7,7,6,4,4,7,2,7,4,3,8,7,6,7,6,5,5,6,3,6,10,1,7,7,6,4,4,7,2,7,4,3,8,9,2,5,6,7,1,10,5,7,7,4,4,7,9,5,6,5,6,10,2,3,9,9,2,5,6,7,1,10,5,7,7,4,4,7,9,5,6,5,6,10,2,3,9,5,6,8,10,4,3,2,4,4,7,3,7,8,6,3,7,4,8,5,4,11,1,5,6,8,10,4,3,2,4,4,7,3,7,8,6,3,7,4,8,5,4,11,1,9,2,4,4,5,7,1,7,3,0,5,2,3,3,3,4,3,5,5,4,5,3,9,2,4,4,5,7,1,7,3,0,5,2,3,3,3,4,3,5,5,4,5,3,5,3,4,3,2,3,5,6,3,4,3,3,4,5,2,4,6,3,5,5,2,2,5,3,4,3,2,3,5,6,3,4,3,3,4,5,2,4,6,3,5,5,2,2,7,2,4,3,7,3,3,7,7,5,2,6,7,2,4,6,0,5,4,3,2,6,7,2,4,3,7,3,3,7,7,5,2,6,7,2,4,6,0,5,4,3,2,6,9,3,4,6,4,7,6,2,2,8,11,3,1,4,6,4,5,8,4,5,2,2,9,3,4,6,4,7,6,2,2,8,11,3,1,4,6,4,5,8,4,5,2,2,3,7,5,3,6,4,5,3,8,6,2,5,4,2,3,2,6,5,3,3,3,9,3,7,5,3,6,4,5,3,8,6,2,5,4,2,3,2,6,5,3,3,3,9,6,3,9,1,6,2,3,5,6,4,2,3,5,0,3,2,6,1,4,4,6,5,6,3,9,1,6,2,3,5,6,4,2,3,5,0,3,2,6,1,4,4,6,5,3,8,5,6,6,2,9,4,3,5,1,7,5,4,3,8,6,4,7,5,3,2,3,8,5,6,6,2,9,4,3,5,1,7,5,4,3,8,6,4,7,5,3,2,3,3,7,6,8,3,3,5,10,6,9,4,3,11,4,3,11,1,5,2,1,7,3,3,7,6,8,3,3,5,10,6,9,4,3,11,4,3,11,1,5,2,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,3,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,3,1,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,3,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,3,0,1,2,1,0,0,1,1,0,0,0,0,0,0,2,1,0,0,3,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,3,2,0,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,0,2,0,0,1,0,1,1,0,1,0,0,1,2,1,0,1,0,0,0,2,1,1,1,0,0,1,0,1,1,0,2,0,0,1,2,1,0,2,1,0,0,2,1,1,1,0,0,2,0,1,1,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,0,0,2,0,1,0,2,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,3,0,0,2,1,3,4,1,1,1,0,1,3,0,2,0,0,0,2,1,0,1,3,0,0,2,1,3,4,1,1,1,0,1,3,0,2,0,0,0,1,1,0,1,0,0,1,1,2,3,0,5,1,3,3,3,0,0,0,0,1,2,0,1,2,1,0,0,1,1,2,3,0,5,1,3,3,3,0,0,0,0,1,2,0,1,3,0,0,1,2,2,0,1,0,1,2,0,0,2,2,0,0,0,1,0,2,1,2,0,0,1,2,2,0,1,0,1,2,0,0,2,2,0,0,0,1,0,2,1,2,1,2,3,1,3,4,2,1,1,1,1,1,0,2,1,1,0,1,0,1,0,3,1,2,3,1,3,4,2,1,1,1,1,1,0,3,1,1,0,1,0,1,0,3,1,2,2,0,0,0,1,2,1,1,1,1,1,2,1,0,2,0,1,0,3,1,1,2,1,0,0,0,1,2,1,1,0,1,2,2,1,0,2,0,1,0,3,1,1,0,2,0,0,0,0,1,1,1,0,0,0,2,0,1,2,0,0,0,0,2,1,0,2,1,0,0,0,1,1,1,0,0,0,2,0,1,2,0,0,0,0,2,1,1,2,1,1,0,0,2,0,2,1,1,0,0,0,0,0,1,0,1,1,1,1,1,2,1,1,0,0,3,0,2,1,1,0,0,0,1,0,1,0,1,1,1,0,1,2,0,2,0,2,1,0,0,0,1,2,0,0,0,2,1,0,0,1,0,0,1,2,0,2,0,2,1,0,0,0,1,2,0,0,0,2,1,0,0,1,0,1,1,0,1,1,3,0,0,1,1,1,1,0,0,1,1,0,2,0,1,0,1,1,1,0,1,1,3,0,0,1,1,1,1,0,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,1,0,3,0,2,0,0,2,1,0,1,0,1,1,1,3,2,0,1,1,0,0,1,0,3,0,2,0,0,2,1,0,1,0,1,1,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,2,0,0,0,0,1,1,1,0,0,1,0,0,0,0,4,0,0,1,0,0,0,2,0,0,0,0,1,1,1,0,0,1,0,1,0,0,4,0,0,2,0,0,0,0,0,2,0,0,2,0,2,2,0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,2,0,0,2,0,2,3,0,1,0,1,0,2,0,3,1,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,3,0,2,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,3,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,1,2,1,0,0,1,1,0,0,0,2,1,1,0,0,0,2,0,1,0,0,0,1,2,1,1,0,1,2,0,0,0,2,3,1,0,1,0,0,0,2,0,1,5,0,1,0,0,0,2,0,0,0,0,0,3,1,0,1,0,0,0,2,0,1,5,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,1,2,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,1,2,0,1,2,0,2,1,1,0,0,1,3,1,0,0,1,1,0,0,1,2,0,0,0,0,2,0,2,1,2,0,0,1,3,1,0,0,1,1,0,0,1,2,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,2,1,2,0,0,0,0,1,1,0,0,2,2,0,0,1,0,0,0,1,1,0,2,1,2,0,0,0,0,1,1,0,0,2,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,1,1,3,2,0,0,3,2,1,1,4,1,2,1,1,1,0,0,3,1,3,3,1,1,2,2,0,0,3,2,1,0,4,1,2,0,1,1,0,0,2,1,3,2,3,0,1,0,2,1,1,0,2,0,1,0,2,2,1,2,2,1,1,1,1,2,3,0,1,0,2,1,0,0,2,0,1,0,2,1,0,2,2,1,1,1,1,0,1,0,0,2,0,1,3,2,0,1,1,1,1,2,0,1,1,1,1,2,2,0,1,0,0,2,0,1,3,2,0,1,1,1,1,2,0,1,1,1,1,2,2,1,2,1,0,0,1,1,1,0,0,2,0,1,4,1,1,0,0,5,0,1,0,1,2,1,0,0,1,1,1,0,0,2,0,1,4,1,1,0,0,5,0,1,0,3,1,2,1,1,0,1,0,1,0,1,1,2,1,1,2,0,0,0,2,1,2,3,1,2,1,1,0,1,0,1,0,1,1,2,1,1,2,0,0,0,2,1,1,0,1,2,1,1,1,0,2,1,0,1,0,2,1,1,0,0,1,1,1,0,1,0,1,2,1,1,1,0,2,1,0,1,0,2,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,2,1,0,1,0,0,0,0,2,2,0,0,1,1,0,0,0,1,1,0,1,0,2,1,0,0,0,0,0,0,2,2,0,0,1,2,3,2,0,0,0,2,2,1,0,0,4,0,1,2,3,0,3,0,0,1,1,2,3,2,0,0,0,2,2,1,0,0,3,0,1,2,3,0,3,0,0,1,3,1,0,2,1,0,3,3,1,0,1,0,0,0,4,1,2,0,1,2,2,2,3,1,0,1,1,0,3,3,1,0,1,0,0,0,4,1,2,0,1,2,2,2,1,1,2,2,1,1,1,1,0,0,1,2,1,1,1,3,1,0,2,0,0,0,1,1,2,2,1,1,1,0,0,0,1,2,1,1,1,2,1,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,2,1,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,2,1,2,0,1,2,3,1,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,1,2,0,1,2,3,1,1,0,1,2,1,1,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,4,2,2,1,2,1,0,3,1,1,1,5,1,1,1,1,2,1,2,0,3,1,4,1,2,1,2,1,0,3,1,1,1,5,1,1,1,1,2,1,2,0,4,2,0,2,1,3,0,0,3,0,2,1,4,1,2,2,0,2,2,1,0,1,4,2,0,1,1,2,0,0,3,0,2,1,4,1,2,2,0,2,2,0,0,1,2,1,2,2,1,2,2,2,3,0,2,1,4,0,1,1,1,0,3,0,1,0,2,1,2,2,1,2,2,2,3,0,2,1,4,0,0,1,1,0,3,0,0,0,3,0,2,1,1,1,1,2,1,2,4,2,3,1,1,0,0,0,8,0,1,1,3,0,2,1,1,1,1,2,1,2,3,2,3,1,1,0,0,0,7,0,1,1,2,0,1,0,0,1,2,3,1,1,2,3,1,1,0,2,2,2,0,3,0,1,2,0,1,0,0,1,2,3,1,1,2,3,1,1,0,2,2,2,0,3,0,1,0,1,0,4,1,1,0,2,2,1,1,4,0,1,2,1,0,2,1,1,1,1,0,1,0,3,1,1,0,2,2,1,1,4,0,1,2,1,0,2,1,1,1,1,1,0,0,5,0,0,1,4,1,2,1,3,1,1,4,0,1,2,0,0,2,0,1,0,0,5,0,0,1,3,1,2,1,3,1,1,3,0,1,1,0,0,2,0,2,1,3,0,2,1,0,2,2,4,2,1,1,1,0,1,0,2,0,1,5,2,2,1,3,0,2,1,0,2,2,4,2,1,1,1,0,1,0,1,0,1,4,2,2,0,2,1,4,1,1,1,2,0,2,0,1,1,0,0,0,0,1,1,0,0,2,0,2,1,4,1,1,1,2,0,2,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,1,2,1,2,1,2,1,2,1,2,1,0,1,1,0,2,0,0,1,0,1,0,1,2,1,2,1,2,1,2,1,2,1,0,1,1,0,2,1,1,2,1,2,0,2,1,1,2,2,3,0,2,0,4,2,3,1,2,2,0,1,1,2,1,2,0,2,1,1,2,2,3,0,2,0,4,2,3,1,2,2,0,1,1,2,1,2,0,2,2,3,1,2,1,0,0,1,0,0,0,1,1,1,1,1,1,2,1,2,0,2,2,3,1,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,4,1,5,3,0,0,5,2,2,1,5,1,2,3,3,1,5,2,5,2,6,9,4,1,5,3,0,0,5,2,2,1,5,1,2,3,3,1,5,2,5,2,6,3,3,1,1,2,5,2,2,1,2,1,4,1,2,3,1,3,3,3,3,4,2,3,3,1,1,2,5,2,2,1,2,1,4,1,2,3,1,3,3,3,3,4,2,0,1,2,1,4,1,5,4,2,1,1,1,3,2,2,3,2,2,2,2,2,3,0,1,2,1,4,1,5,4,2,1,1,1,3,2,2,3,2,2,2,2,2,3,3,6,2,0,3,3,5,7,1,2,3,0,3,10,1,4,3,0,6,3,3,0,3,6,2,0,3,3,5,7,1,2,3,0,3,10,1,4,3,0,6,3,3,0,4,3,3,3,2,3,4,0,6,3,5,5,5,4,2,3,0,1,2,3,3,5,4,3,3,3,2,3,4,0,6,3,5,5,5,4,2,3,0,1,2,3,3,5,1,2,3,3,3,1,2,2,2,4,3,2,6,4,2,3,0,3,2,3,3,3,1,2,3,3,3,1,2,2,2,4,3,2,6,4,2,3,0,3,2,3,3,3,2,3,4,1,3,6,4,3,2,1,3,2,2,3,1,1,1,3,4,3,2,5,2,3,4,1,3,6,4,3,2,1,3,2,2,3,1,1,1,3,4,3,2,5,2,4,6,3,1,0,1,4,4,2,1,2,7,3,2,2,5,0,6,0,3,2,2,4,6,3,1,0,1,4,4,2,1,2,7,3,2,2,5,0,6,0,3,2,6,1,2,2,1,0,4,4,3,3,2,0,0,3,5,3,5,0,2,2,2,4,6,1,2,2,1,0,4,4,3,3,2,0,0,3,5,3,5,0,2,2,2,4,2,3,6,4,3,1,1,4,0,3,3,4,2,1,3,3,3,1,2,1,1,3,2,3,6,4,3,1,1,4,0,3,3,4,2,1,3,3,3,1,2,1,1,3,0,1,5,3,4,0,2,1,0,0,1,2,2,0,3,1,4,2,2,2,3,0,0,1,5,3,4,0,2,1,0,0,1,2,2,0,3,1,4,2,2,2,3,0,4,4,3,2,2,5,5,2,4,2,2,4,0,1,2,1,0,2,0,4,2,2,4,4,3,2,2,5,5,2,4,2,2,4,0,1,2,1,0,2,0,4,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,3,4,2,4,1,2,2,0,6,1,3,1,5,3,2,2,2,2,4,3,2,6,3,4,2,4,1,2,2,0,6,1,3,1,5,3,2,2,2,2,4,3,2,5,4,0,3,1,3,2,1,5,1,2,2,5,1,2,2,1,2,4,3,0,2,5,4,0,3,1,3,2,1,5,1,2,2,5,1,2,2,1,2,4,3,0,2,2,1,5,3,1,2,2,3,4,1,2,1,6,1,3,3,2,4,4,2,2,0,2,1,5,3,1,2,2,3,4,1,2,1,6,1,3,3,2,4,4,2,2,0,4,0,2,2,3,2,1,4,1,4,7,2,4,2,2,0,3,0,10,2,3,2,4,0,2,2,3,2,1,4,1,4,7,2,4,2,2,0,3,0,10,2,3,2,2,2,4,0,1,3,2,6,1,2,2,4,1,2,1,2,3,2,4,6,0,3,2,2,4,0,1,3,2,6,1,2,2,4,1,2,1,2,3,2,4,6,0,3,2,1,1,4,3,1,1,2,2,3,1,4,1,1,4,1,0,2,1,2,2,1,2,1,1,4,3,1,1,2,2,3,1,4,1,1,4,1,0,2,1,2,2,1,2,1,0,5,0,2,1,4,3,2,1,5,4,2,5,1,2,3,0,1,2,2,2,1,0,5,0,2,1,4,3,2,1,5,4,2,5,1,2,3,0,1,2,2,7,3,4,1,2,2,1,4,3,5,8,1,2,1,0,1,2,3,0,1,6,3,7,3,4,1,2,2,1,4,3,5,8,1,2,1,0,1,2,3,0,1,6,3,3,0,3,1,6,1,2,3,3,0,2,1,3,1,2,0,0,0,2,3,1,2,3,0,3,1,6,1,2,3,3,0,2,1,3,1,2,0,0,0,2,3,1,2,2,0,4,2,4,0,1,3,4,3,1,2,2,3,2,2,2,2,2,1,0,2,2,0,4,2,4,0,1,3,4,3,1,2,2,3,2,2,2,2,2,1,0,2,2,3,3,3,2,1,2,1,2,3,3,4,0,3,1,5,3,4,2,4,4,3,2,3,3,3,2,1,2,1,2,3,3,4,0,3,1,5,3,4,2,4,4,3,5,2,5,2,2,0,2,3,5,2,2,3,2,0,1,3,1,0,1,2,2,1,5,2,5,2,2,0,2,3,5,2,2,3,2,0,1,3,1,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,3,1,0,1,1,1,1,0,1,1,0,0,0,0,3,0,0,1,0,0,0,1,3,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,3,0,0,1,0,2,0,1,2,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,2,0,1,2,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,2,0,2,2,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,2,0,2,2,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,2,0,1,1,0,0,0,0,2,0,2,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,2,0,0,0,0,1,1,1,0,0,2,1,2,0,0,0,0,1,2,0,0,2,2,0,0,0,0,1,1,1,0,0,2,1,2,0,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,2,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,2,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,2,1,0,1,0,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,2,0,0,1,0,0,1,0,0,1,0,1,1,0,1,2,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,2,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,1,1,2,0,1,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,2,1,0,0,0,1,0,1,0,1,1,2,0,1,1,2,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,0,1,1,2,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,1,1,1,0,0,2,0,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,4,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,2,1,2,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,2,1,2,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,1,2,4,3,0,3,0,0,2,1,1,0,0,0,0,0,1,0,1,1,1,1,1,2,4,3,0,3,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,3,1,1,1,1,0,1,0,0,0,3,4,1,1,0,0,0,1,1,2,1,4,4,1,2,1,1,1,2,0,0,1,2,4,2,1,1,0,0,2,1,1,1,0,0,0,3,0,0,1,2,0,3,0,2,1,1,0,0,0,0,2,2,1,0,0,0,0,3,1,0,1,2,0,4,1,2,1,1,0,2,0,0,2,0,0,0,2,1,3,0,1,2,0,0,2,1,1,0,0,1,0,0,1,1,2,0,0,0,2,1,3,0,1,2,0,0,2,1,1,1,1,1,0,0,2,0,0,0,1,1,0,3,1,2,0,0,0,2,0,1,1,0,5,2,0,2,3,1,0,0,1,1,1,3,1,3,0,0,0,2,0,1,0,0,5,2,0,3,4,1,0,2,1,1,1,1,1,0,2,2,0,0,1,1,1,1,0,2,2,0,0,3,0,2,1,1,1,1,1,0,2,2,0,0,1,1,1,1,0,3,2,0,0,3,0,1,1,3,2,0,1,0,1,0,1,1,2,1,2,0,1,2,2,0,0,0,0,1,1,3,2,0,0,0,0,0,1,1,2,1,2,0,1,2,2,0,0,0,0,1,0,0,0,0,0,2,2,0,1,0,0,1,0,0,0,2,1,1,0,1,0,1,0,0,0,0,1,2,2,0,1,0,0,1,0,0,0,2,1,1,0,1,0,0,1,1,1,0,2,3,0,0,3,0,1,1,1,0,2,1,0,0,0,0,0,0,1,1,1,0,2,3,0,0,3,1,1,1,1,0,2,1,0,0,0,0,2,2,0,1,1,1,2,0,0,2,0,1,0,0,2,1,3,2,2,2,1,1,2,2,0,1,1,1,2,0,0,2,0,1,1,0,2,1,3,2,3,2,1,1,0,0,1,0,0,1,0,1,4,0,1,1,1,0,1,1,0,0,0,2,0,2,0,0,1,0,0,1,0,1,4,0,1,1,1,0,1,1,0,0,0,2,0,2,0,1,0,2,3,1,1,0,2,2,1,1,0,1,0,2,1,0,0,0,2,3,0,1,0,2,3,1,1,0,2,2,1,1,0,1,0,2,1,0,0,0,2,3,0,1,0,0,2,0,1,0,3,0,1,1,0,1,4,0,2,1,2,1,0,0,0,1,0,0,2,0,1,0,3,0,1,1,0,1,4,0,2,1,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,2,2,0,0,0,1,0,3,0,0,1,1,1,0,1,1,3,0,0,2,0,0,2,2,0,0,0,1,0,3,0,0,1,1,1,0,1,0,0,0,2,1,0,0,0,1,1,1,0,0,1,2,1,1,1,3,1,0,0,0,0,0,2,1,1,0,0,1,1,1,0,0,1,1,1,1,1,3,1,1,0,0,1,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,2,1,0,2,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,1,0,1,0,0,1,2,0,0,2,0,1,2,0,0,1,0,2,1,0,0,1,1,0,1,0,0,1,2,0,0,2,0,1,2,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,2,0,2,1,0,0,1,0,0,0,1,0,1,0,3,0,0,0,2,1,0,1,2,0,2,1,0,0,1,0,0,0,1,0,1,0,3,0,0,0,2,0,2,1,0,0,0,0,0,0,1,0,2,1,1,1,1,2,0,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,2,1,1,1,1,2,0,0,0,1,1,1,0,0,0,0,0,1,1,2,1,1,1,0,0,0,2,2,2,0,0,1,0,1,0,0,0,0,0,1,1,2,1,1,1,0,0,0,2,2,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,3,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,3,0,3,3,2,2,2,1,2,2,3,1,1,1,2,0,1,1,0,2,0,1,3,0,2,3,1,2,2,0,1,2,3,0,2,1,1,0,0,1,0,2,2,1,2,2,2,1,0,4,2,0,3,1,3,3,1,2,0,1,4,0,3,2,1,1,2,2,2,1,0,4,2,0,3,1,2,3,1,3,0,1,2,0,3,5,2,3,3,2,0,1,1,1,2,1,3,1,3,3,1,1,0,3,4,2,0,5,3,3,3,2,1,1,1,1,2,1,3,2,3,3,1,0,0,3,4,2,1,3,2,4,2,5,3,2,3,0,1,1,3,1,3,3,0,2,2,4,1,7,0,3,2,4,2,4,3,2,2,0,1,2,3,2,3,3,0,2,2,4,0,6,0,0,1,2,3,0,2,0,0,3,2,1,2,3,2,2,2,1,4,1,4,5,0,0,1,3,3,0,2,0,0,3,2,1,2,3,2,2,2,1,4,1,4,5,0,1,1,2,3,1,1,2,5,3,2,4,1,0,1,1,4,0,2,1,2,0,0,1,2,2,3,1,2,2,5,3,3,4,2,0,1,1,4,0,2,1,2,0,0,2,3,2,4,1,1,4,0,1,2,2,3,0,3,2,0,0,0,3,5,2,2,2,3,2,4,1,2,3,0,1,2,3,3,0,3,2,0,0,0,3,5,2,2,1,0,1,6,2,3,2,3,4,3,1,2,4,2,3,1,2,1,2,3,3,3,1,0,1,6,2,3,2,3,4,3,1,1,4,3,3,1,2,1,3,3,3,3,3,1,1,2,1,1,1,0,2,0,2,3,3,2,3,2,0,1,2,1,1,1,3,1,1,2,1,1,1,0,2,0,2,3,2,2,3,3,0,1,1,1,1,1,2,2,1,1,1,0,1,0,2,1,1,2,2,2,1,2,1,1,2,1,1,1,2,2,1,1,1,0,1,0,2,1,1,2,2,2,1,2,1,1,2,1,1,1,6,3,2,3,3,2,0,2,2,1,1,1,2,1,3,1,2,0,1,3,2,0,6,4,2,3,3,2,0,2,3,1,1,1,2,1,3,1,2,0,2,3,2,0,1,2,4,1,3,2,4,0,1,2,3,5,1,5,1,3,2,2,0,4,2,4,1,2,4,1,3,2,4,0,1,2,3,5,1,5,1,3,2,2,0,4,2,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,3,1,1,3,3,1,1,0,2,3,3,0,2,1,1,1,1,2,1,4,0,1,3,2,1,3,3,1,1,0,2,4,3,2,2,1,1,2,1,0,1,1,0,1,2,1,1,0,2,2,0,2,2,3,0,1,1,0,1,2,1,0,1,2,0,0,3,1,1,1,2,2,0,2,2,3,0,2,1,0,0,2,1,1,3,0,2,4,2,1,1,3,1,2,0,0,1,1,1,2,3,3,2,1,0,1,3,0,2,6,2,1,1,3,2,3,0,0,2,1,3,2,3,3,2,1,1,2,2,1,3,1,2,3,3,3,2,1,2,1,3,0,0,3,0,1,3,3,2,3,2,1,4,3,2,4,3,4,2,1,2,1,3,0,0,3,0,1,3,4,2,0,2,2,3,2,1,0,1,2,1,1,4,1,0,0,3,1,0,2,3,2,3,0,2,2,3,2,1,0,1,2,1,1,4,1,0,0,3,1,0,2,3,2,3,2,3,2,3,0,4,4,1,0,2,0,1,0,1,4,0,0,0,0,1,0,1,3,3,2,2,1,5,4,0,0,2,0,2,1,0,3,0,0,0,0,1,0,1,2,5,2,2,2,1,0,0,2,2,0,1,3,2,0,0,1,1,0,0,0,0,2,5,2,2,2,1,0,0,2,2,0,1,3,2,0,1,1,1,1,0,0,0,1,0,1,3,3,0,1,0,0,2,0,0,3,3,0,1,2,0,1,1,2,2,1,0,1,3,2,0,1,0,0,2,0,0,3,3,0,1,2,0,1,2,2,1,2,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,3,2,2,1,2,1,2,2,1,1,0,0,0,1,0,0,0,1,1,0,1,0,3,2,2,1,2,1,0,1,1,1,1,2,3,1,2,3,1,0,1,1,0,1,1,0,2,0,0,1,0,1,1,1,1,2,3,1,2,3,1,0,1,1,0,1,1,0,2,0,0,1,0,2,1,2,5,1,1,0,1,1,1,1,2,0,0,2,1,2,2,1,2,2,0,2,1,2,5,1,1,0,1,1,1,1,3,0,0,2,1,2,2,1,2,2,6,4,5,2,2,3,0,3,3,0,3,0,3,3,2,0,1,1,0,1,0,1,6,4,5,2,2,3,0,3,3,0,3,0,3,3,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,1,2,1,0,5,2,2,2,1,0,5,2,1,2,0,2,1,2,3,4,4,4,1,2,1,0,5,2,2,2,1,0,5,1,1,2,0,2,1,2,8,3,2,2,1,1,0,1,3,2,1,1,3,1,2,1,3,5,1,3,1,1,8,3,2,2,1,1,0,1,2,2,1,1,3,1,1,1,2,5,1,3,1,1,3,2,6,0,2,3,0,0,1,4,1,3,2,2,4,4,2,3,2,2,3,3,3,1,6,0,2,2,0,0,1,4,1,3,1,2,4,3,2,3,2,2,2,2,0,0,5,1,0,1,3,0,1,1,4,1,3,2,4,1,2,1,1,4,1,0,0,0,5,1,0,1,3,0,1,1,3,1,2,2,4,1,2,1,1,4,1,0,4,3,1,0,0,2,1,6,1,2,3,1,2,2,4,0,1,1,1,3,4,3,4,3,0,0,0,2,1,6,1,2,3,1,2,2,4,0,1,0,1,3,4,3,2,4,2,1,1,4,0,3,2,5,2,2,1,2,2,2,3,1,2,2,1,0,2,3,2,1,1,3,0,3,2,4,2,1,1,2,2,2,3,1,2,2,1,0,3,2,4,2,2,2,0,4,2,1,3,3,5,1,2,4,2,1,1,3,1,2,3,2,4,2,2,1,0,4,2,1,2,3,5,1,2,4,2,1,1,3,1,2,1,2,0,0,1,0,2,2,1,2,0,2,1,1,3,0,2,2,2,3,3,2,1,2,0,0,1,0,2,2,1,2,0,2,1,0,3,0,2,2,1,3,3,2,3,1,1,1,4,1,2,3,2,3,1,1,0,1,2,3,1,0,0,0,3,5,3,1,1,1,4,1,2,3,2,3,1,1,0,1,2,2,1,0,0,0,3,5,1,2,0,0,1,2,1,1,3,1,2,3,3,1,2,1,2,1,2,0,0,5,1,2,0,0,1,2,1,1,3,1,2,3,3,1,2,1,2,1,2,0,0,5,1,2,1,2,4,2,1,2,2,1,2,1,4,1,3,3,1,1,2,6,1,0,1,1,1,2,4,2,1,2,1,1,2,1,4,1,3,3,1,1,1,6,1,0,1,4,2,1,3,4,0,0,1,2,5,2,4,1,1,2,2,3,1,4,1,3,1,4,2,1,3,4,0,0,1,2,5,2,4,1,1,2,2,3,1,4,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,3,4,3,3,2,4,4,2,0,4,0,3,4,0,1,3,4,7,4,5,4,3,3,3,1,3,2,4,3,2,0,4,0,3,4,0,0,3,2,7,4,5,3,3,2,2,4,0,3,3,2,6,7,1,1,1,3,4,3,4,4,3,2,3,3,7,2,2,3,0,3,2,2,6,6,1,1,1,3,4,3,4,3,3,2,3,3,7,5,2,10,5,3,6,2,3,1,6,7,5,7,3,3,5,2,2,5,1,3,5,5,2,10,5,1,6,2,3,1,5,6,5,7,2,3,3,2,2,5,1,3,4,6,1,3,4,4,5,2,2,6,1,3,2,4,1,4,3,4,1,3,0,4,5,5,1,3,3,2,5,1,2,5,1,3,2,4,1,4,3,4,1,3,0,3,5,3,3,3,3,1,4,6,3,6,1,2,3,2,3,3,1,2,3,3,2,3,4,3,3,3,3,1,4,6,3,6,1,2,3,2,3,3,1,2,3,3,2,3,4,2,1,2,5,4,4,3,3,2,4,5,6,4,3,1,2,5,2,2,3,3,2,1,1,2,5,3,3,3,3,2,4,5,5,3,3,1,2,5,2,2,3,3,2,2,3,5,0,3,3,1,3,1,4,2,5,4,7,1,8,3,1,4,2,0,3,2,3,5,0,3,3,1,3,1,4,2,5,4,7,1,7,3,1,3,2,0,3,6,0,5,0,2,4,0,1,5,3,4,0,3,2,4,3,2,2,2,3,2,1,6,0,5,0,2,4,0,1,5,3,4,0,3,2,4,3,2,2,2,2,2,1,2,2,2,3,2,3,3,2,1,2,5,2,2,1,4,2,1,1,3,3,4,3,2,2,2,2,2,3,3,2,1,2,5,2,2,1,4,2,1,1,3,3,4,3,5,4,2,0,2,2,3,3,2,3,1,5,4,0,3,2,3,3,2,5,2,2,5,4,2,0,2,2,3,3,2,3,1,5,4,0,3,2,3,3,2,5,2,2,3,4,1,1,1,2,2,3,4,3,4,2,4,2,2,2,2,5,3,3,2,3,3,4,1,1,1,2,2,3,4,3,4,2,3,2,2,2,2,5,3,3,2,3,3,2,0,2,1,3,7,2,6,1,1,3,2,4,7,4,4,5,1,3,3,4,3,2,0,2,1,3,7,2,6,1,1,3,2,4,7,4,4,5,1,3,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,6,7,11,5,8,5,3,9,5,3,5,5,5,6,7,6,5,1,3,2,3,7,6,7,11,5,8,5,3,9,5,3,5,5,5,6,7,6,5,1,3,2,3,13,6,4,7,3,3,2,4,7,4,3,9,5,7,6,5,7,7,2,8,2,5,13,6,4,7,3,3,2,4,7,4,3,9,5,7,6,5,7,7,2,8,2,5,11,5,9,3,8,4,4,1,3,9,2,7,5,6,8,6,4,5,5,7,6,6,11,5,9,3,8,4,4,1,3,9,2,7,5,6,8,6,4,5,5,7,6,6,3,2,11,4,7,7,7,7,2,2,7,7,4,7,8,1,10,6,6,7,12,1,3,2,11,4,7,7,7,7,2,2,7,7,4,7,8,1,10,6,6,7,12,1,4,6,5,6,1,7,4,6,7,6,5,3,7,7,8,3,3,8,4,7,9,6,4,6,5,6,1,7,4,6,7,6,5,3,7,7,8,3,3,8,4,7,9,6,4,7,5,7,4,5,4,8,7,7,7,5,3,5,5,6,5,5,6,4,3,0,4,7,5,7,4,5,4,8,7,7,7,5,3,5,5,6,5,5,6,4,3,0,6,8,8,6,3,3,4,8,6,4,6,6,8,6,6,4,3,3,5,10,5,5,6,8,8,6,3,3,4,8,6,4,6,6,8,6,6,4,3,3,5,10,5,5,3,2,2,8,4,4,6,9,6,5,4,6,6,5,8,2,6,6,5,6,7,5,3,2,2,8,4,4,6,9,6,5,4,6,6,5,8,2,6,6,5,6,7,5,9,4,3,4,6,3,5,4,5,6,3,5,5,3,7,6,4,4,4,4,6,9,9,4,3,4,6,3,5,4,5,6,3,5,5,3,7,6,4,4,4,4,6,9,3,4,3,1,2,4,3,2,10,3,5,7,6,4,6,4,3,3,5,4,1,9,3,4,3,1,2,4,3,2,10,3,5,7,6,4,6,4,3,3,5,4,1,9,7,7,3,8,10,6,2,5,6,6,5,4,6,4,7,6,4,2,3,10,7,3,7,7,3,8,10,6,2,5,6,6,5,4,6,4,7,6,4,2,3,10,7,3,3,8,6,2,9,6,5,0,5,4,10,10,5,9,6,5,7,6,5,10,5,7,3,8,6,2,9,6,5,0,5,4,10,10,5,9,6,5,7,6,5,10,5,7,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,8,4,6,5,3,8,8,5,5,7,1,5,6,6,4,6,5,11,6,7,6,5,8,4,6,5,3,8,8,5,5,7,1,5,6,6,4,6,5,11,6,7,6,5,3,5,7,2,5,7,5,9,8,4,3,1,6,9,7,5,6,7,4,4,5,9,3,5,7,2,5,7,5,9,8,4,3,1,6,9,7,5,6,7,4,4,5,9,8,8,12,8,9,9,4,5,4,9,9,5,7,4,4,6,5,5,8,6,5,5,8,8,12,8,9,9,4,5,4,9,9,5,7,4,4,6,5,5,8,6,5,5,10,5,5,9,5,7,5,5,11,3,7,5,5,4,5,4,8,1,4,3,7,7,10,5,5,9,5,7,5,5,11,3,7,5,5,4,5,4,8,1,4,3,7,7,3,5,7,6,5,6,6,5,9,4,4,8,3,3,5,7,3,3,8,5,6,9,3,5,7,6,5,6,6,5,9,4,4,8,3,3,5,7,3,3,8,5,6,9,5,5,4,11,5,9,7,4,2,7,7,10,4,4,5,3,6,3,2,5,4,5,5,5,4,11,5,9,7,4,2,7,7,10,4,4,5,3,6,3,2,5,4,5,5,9,8,5,7,7,2,3,3,9,3,6,7,10,2,10,4,6,4,2,0,5,5,9,8,5,7,7,2,3,3,9,3,6,7,10,2,10,4,6,4,2,0,5,7,4,7,3,5,5,2,1,6,6,8,2,8,6,5,5,6,2,3,4,5,3,7,4,7,3,5,5,2,1,6,6,8,2,8,6,5,5,6,2,3,4,5,3,5,4,3,3,3,3,4,5,3,3,7,5,3,1,5,4,7,6,5,5,7,4,5,4,3,3,3,3,4,5,3,3,7,5,3,1,5,4,7,6,5,5,7,4,6,6,4,2,5,5,9,5,4,7,3,5,5,1,4,3,6,5,5,5,4,3,6,6,4,2,5,5,9,5,4,7,3,5,5,1,4,3,6,5,5,5,4,3,3,6,4,3,7,4,4,4,6,5,5,4,6,4,3,4,4,7,7,4,5,7,3,6,4,3,7,4,4,4,6,5,5,4,6,4,3,4,4,7,7,4,5,7,9,6,6,5,3,7,8,8,10,3,7,7,8,8,13,4,8,8,2,5,5,5,9,6,6,5,3,7,8,8,10,3,7,7,8,8,13,4,8,8,2,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,2,1,1,0,0,1,2,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,2,1,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,3,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,3,4,2,1,1,1,0,1,1,0,2,0,2,3,0,1,0,1,1,1,2,1,3,4,2,1,1,1,0,1,1,0,2,0,3,3,0,1,1,2,1,0,1,1,0,2,1,0,1,1,1,1,0,2,3,2,1,0,0,1,1,2,1,0,1,1,0,2,2,0,1,1,1,1,0,2,3,2,1,0,0,1,0,0,0,2,2,2,2,0,2,1,3,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,2,2,2,0,2,1,3,0,0,1,0,1,0,1,0,1,1,1,2,1,2,0,2,1,3,0,1,2,0,2,1,0,2,0,1,0,3,0,0,1,2,1,2,0,2,1,3,1,1,2,0,2,1,0,2,0,1,0,3,0,0,1,3,2,1,1,1,2,0,0,3,0,0,0,0,1,1,0,1,0,0,1,1,1,3,2,1,1,1,2,0,0,3,0,0,0,0,1,1,0,1,0,0,1,2,1,1,1,0,1,1,1,1,0,3,0,0,1,3,1,4,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,3,0,0,1,3,2,4,0,1,0,1,0,2,0,0,2,1,1,0,1,2,0,4,4,2,0,1,0,0,1,0,0,0,0,0,2,0,3,1,1,0,1,2,0,4,4,2,0,1,0,0,1,0,0,0,0,0,2,0,2,1,0,0,4,0,1,2,0,1,0,0,0,2,1,1,1,1,1,2,1,0,2,1,0,0,5,1,1,2,0,1,0,0,0,2,1,1,1,1,1,2,1,0,2,1,1,0,1,5,3,2,1,1,2,1,1,1,2,0,0,1,0,1,0,0,2,1,1,0,1,5,3,2,1,1,2,1,1,1,2,0,0,1,0,1,0,1,3,2,0,1,2,2,1,3,1,3,1,2,1,3,2,0,0,1,1,2,1,1,3,2,0,1,2,2,1,3,1,3,1,2,1,3,2,0,0,1,1,2,1,2,3,0,1,0,2,1,1,1,2,0,0,3,2,2,2,1,2,1,0,2,2,2,3,0,1,0,2,1,1,1,2,0,0,3,2,2,2,1,2,1,0,2,2,0,2,0,1,1,1,1,0,0,2,3,2,1,4,2,0,0,0,2,0,0,2,0,2,0,1,1,1,1,0,0,2,3,2,1,4,2,0,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,1,1,0,2,1,1,1,0,0,0,3,1,2,0,0,1,1,1,0,1,2,1,1,1,0,2,1,1,1,1,0,1,3,1,2,0,0,1,0,0,1,1,0,0,1,3,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,0,0,3,1,2,0,0,0,0,1,0,1,1,2,0,0,0,1,1,0,1,1,2,3,3,1,1,1,2,0,0,1,0,0,1,0,2,3,0,1,1,0,1,1,2,3,3,2,1,1,2,0,0,1,0,0,0,0,2,3,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,2,2,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,3,2,0,1,0,0,1,3,0,1,3,1,0,1,1,0,0,2,0,1,0,0,0,4,0,1,0,0,1,3,0,1,3,1,0,1,1,0,0,2,0,1,0,0,0,4,0,0,2,1,0,1,0,1,0,0,1,2,0,0,0,0,1,1,2,0,1,1,0,0,2,1,0,1,0,1,0,0,1,2,0,0,0,0,1,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,2,2,2,0,0,0,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,1,2,2,2,0,0,0,0,1,1,2,2,0,0,0,0,0,2,1,0,2,2,1,0,1,0,2,1,0,1,2,1,0,2,0,0,0,0,0,2,1,0,2,2,1,0,1,0,2,1,0,1,2,1,0,0,1,0,3,0,1,0,0,1,0,1,0,2,0,0,0,1,1,1,0,0,2,0,1,0,3,0,1,0,0,1,0,1,0,2,0,0,0,1,1,1,0,0,2,1,1,0,0,1,0,0,1,0,0,0,1,2,0,0,2,1,2,1,1,2,0,1,1,0,0,1,0,0,1,0,0,0,1,2,0,0,2,1,2,1,1,2,0,0,0,1,0,0,1,1,0,0,1,3,0,1,3,2,0,1,1,3,0,0,0,0,0,1,0,0,1,1,0,0,1,3,0,1,3,2,0,1,1,3,0,0,0,0,1,2,1,1,0,1,2,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,1,2,1,1,0,1,2,0,1,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,3,1,0,1,3,2,1,1,5,0,2,4,2,2,1,2,2,1,1,2,2,1,3,1,1,1,5,3,1,2,5,0,3,4,2,1,1,2,4,0,1,0,1,4,1,1,3,1,0,0,1,0,5,0,2,2,3,0,3,2,2,0,2,0,1,4,1,1,3,0,0,1,2,0,6,1,2,2,3,1,3,2,3,2,3,2,2,3,1,1,0,2,4,1,0,2,0,4,1,3,2,2,3,0,3,2,3,2,2,4,1,1,0,2,4,1,1,2,0,4,1,4,1,2,3,1,2,1,2,1,1,0,1,1,2,1,2,2,0,1,2,1,1,2,3,1,1,0,1,1,2,1,1,0,1,1,1,1,2,2,1,2,2,1,2,3,3,1,1,2,1,0,0,4,1,0,2,1,0,1,0,1,2,4,3,2,0,2,4,3,1,3,2,1,0,4,2,0,2,1,0,1,0,1,2,4,3,2,0,2,4,3,1,2,2,0,2,1,3,3,2,1,1,4,3,1,1,1,6,1,0,4,1,1,1,4,5,0,2,1,3,3,2,1,1,5,3,1,1,1,5,1,0,4,1,1,1,3,5,0,2,1,1,1,1,2,1,0,2,0,3,5,2,2,1,2,3,1,1,1,1,0,2,1,1,1,1,2,1,0,2,0,4,6,2,2,1,3,3,2,1,1,2,2,2,1,1,2,2,4,1,2,2,2,1,3,3,3,1,1,1,0,2,1,0,2,2,1,1,2,1,3,1,2,2,2,1,3,3,3,1,1,1,0,2,1,0,4,1,1,0,2,4,0,3,1,2,2,1,2,1,1,0,0,1,2,3,1,2,4,1,1,0,2,4,0,3,1,2,2,1,2,1,1,0,0,1,2,3,1,3,1,2,1,3,0,2,2,2,1,0,1,2,2,3,2,4,2,4,2,1,1,1,1,2,1,3,0,2,2,2,1,0,1,2,3,3,2,4,2,4,3,1,1,1,1,1,2,0,0,3,0,4,0,1,2,0,2,2,1,0,6,1,2,0,0,3,1,1,2,0,0,3,0,4,0,1,2,0,2,2,2,0,6,1,2,0,0,3,3,1,1,2,3,0,0,2,3,2,1,0,3,1,4,4,0,2,1,3,4,1,3,1,1,2,3,0,0,2,3,2,1,0,3,1,4,4,0,2,1,3,3,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,2,2,0,2,2,1,1,0,0,4,0,2,0,2,1,2,1,1,0,2,3,0,2,2,0,3,2,1,2,0,0,3,0,1,0,2,2,2,1,1,1,1,1,1,1,0,2,0,1,1,1,0,0,0,3,1,1,5,2,0,3,1,1,1,1,1,1,0,2,0,1,2,2,0,0,0,3,1,1,4,2,0,3,1,1,0,0,0,1,2,2,1,2,2,3,2,1,2,2,1,0,0,2,2,2,2,1,0,0,0,1,2,2,1,1,3,3,2,1,3,2,1,0,0,2,2,2,2,2,1,0,1,1,3,1,1,1,0,1,0,3,2,3,0,2,1,0,3,1,0,2,2,0,1,1,3,1,1,1,0,0,0,3,3,3,0,2,1,1,3,0,0,2,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,2,0,1,2,1,0,1,0,0,1,0,0,0,0,0,1,0,1,4,0,1,0,2,0,1,0,1,1,0,1,0,1,2,2,0,1,1,1,1,1,1,2,3,0,2,0,1,0,1,1,0,1,0,1,2,3,0,1,1,1,1,1,1,2,3,0,1,0,2,2,1,1,1,0,1,1,1,1,0,2,4,1,1,1,3,1,0,0,1,0,2,2,1,1,1,0,1,1,1,1,0,2,4,1,1,1,3,2,0,0,1,0,0,5,3,0,4,1,1,1,0,0,1,0,0,2,0,1,1,1,2,3,1,0,0,5,3,0,4,1,2,1,0,0,1,0,0,2,1,1,1,1,2,3,1,1,2,0,1,2,1,1,2,0,3,2,1,3,1,2,3,1,0,2,3,0,1,1,2,0,1,2,1,1,2,0,3,2,1,3,1,2,3,1,0,2,3,0,0,3,1,0,1,1,1,2,0,1,0,3,4,2,0,1,0,1,3,2,0,1,0,3,1,0,1,1,1,2,0,1,0,3,4,2,0,1,0,1,3,2,0,1,1,1,1,1,1,0,1,0,0,1,1,3,2,2,2,0,1,0,2,0,2,0,1,1,1,1,1,0,1,0,0,1,1,3,2,2,2,0,2,0,2,0,2,0,1,0,1,0,1,0,1,0,2,2,2,0,3,1,1,1,1,0,0,1,2,0,1,0,1,0,1,0,1,0,2,2,2,0,3,1,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,5,4,4,1,5,3,8,2,1,4,5,4,3,4,4,3,3,1,3,1,4,1,6,3,7,1,4,3,7,1,1,4,5,4,2,6,4,3,4,1,1,6,2,3,0,4,3,2,0,4,1,7,5,1,3,2,4,3,3,2,3,0,4,7,1,3,2,4,4,2,0,5,2,6,4,1,2,1,4,3,3,2,3,0,4,3,0,3,8,3,4,2,3,2,4,0,4,4,2,1,3,2,4,5,0,3,3,3,0,4,8,2,4,3,3,3,4,0,3,5,3,1,3,1,4,5,0,3,3,1,4,5,4,0,2,3,2,2,0,3,4,3,2,1,1,2,1,3,2,9,3,2,4,5,4,0,2,4,2,2,0,4,3,2,2,2,2,1,1,3,2,7,3,2,8,1,4,1,5,2,5,4,6,5,4,3,1,3,2,7,2,2,0,1,1,1,8,2,3,1,5,2,5,4,6,5,6,3,1,3,2,7,3,4,0,1,1,2,2,2,6,2,4,1,3,2,3,3,1,2,4,3,2,5,2,2,4,1,2,2,2,2,6,2,4,1,4,1,3,3,2,2,4,3,2,6,2,2,4,2,3,3,1,2,5,1,1,1,4,4,2,2,2,2,1,1,3,5,1,6,3,2,4,3,0,2,5,1,1,1,4,4,2,2,1,1,1,1,3,4,1,5,3,2,3,5,2,2,3,3,2,4,6,5,2,1,2,3,5,1,1,1,3,0,2,1,8,5,2,2,3,3,3,4,6,5,2,1,3,3,5,1,2,1,3,0,2,1,8,6,3,5,7,0,8,0,6,3,7,2,0,1,1,2,3,1,0,5,1,2,5,6,3,5,7,0,8,0,6,3,7,3,0,1,1,2,3,1,0,5,1,2,4,4,4,6,2,1,2,3,3,3,0,2,2,1,9,2,4,3,3,3,6,2,4,4,4,6,2,1,2,3,3,3,0,2,2,0,9,2,4,3,3,2,6,2,4,3,1,4,3,3,3,4,4,6,1,4,4,2,3,6,2,3,2,2,0,2,3,3,1,4,3,3,3,4,4,6,1,5,4,3,3,5,2,3,2,2,0,2,3,2,6,3,4,2,2,1,6,6,4,3,5,4,2,1,2,2,3,2,5,1,6,2,6,3,4,2,2,1,6,6,4,3,5,4,2,1,2,2,3,2,5,1,6,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,6,2,5,1,7,3,3,4,5,4,4,1,7,2,4,2,3,3,4,5,3,6,6,3,5,1,8,3,2,4,6,4,4,1,8,2,4,3,5,2,4,6,3,5,2,4,0,5,1,2,2,9,4,5,1,2,2,0,0,3,3,3,0,0,4,5,2,4,1,5,1,2,2,9,4,4,1,3,3,0,1,3,4,4,1,0,4,3,3,3,0,2,1,2,4,2,2,3,2,3,4,1,1,3,2,3,1,3,2,3,3,3,0,2,1,2,5,3,1,3,3,4,3,2,1,3,2,4,1,3,2,1,8,0,2,4,6,2,3,2,6,1,3,3,2,3,3,0,1,3,3,5,0,1,8,0,3,4,6,2,4,3,6,1,3,3,1,2,3,0,1,2,3,5,0,2,4,6,2,2,0,3,2,2,3,1,2,3,2,0,2,3,2,3,1,2,1,2,4,7,1,3,0,3,2,2,3,1,2,4,2,0,3,3,1,1,1,2,1,1,1,1,3,2,0,4,1,3,5,2,2,2,0,4,6,2,1,1,2,1,4,2,1,2,3,2,0,4,1,4,5,2,1,2,0,4,6,2,1,1,3,1,4,5,4,2,1,1,2,2,2,3,5,3,3,1,3,2,1,2,2,0,5,1,3,5,4,2,2,1,2,2,2,3,5,3,3,1,3,3,1,2,3,0,4,1,4,3,3,5,4,4,1,4,1,7,1,3,0,3,1,2,1,4,1,0,0,2,1,3,3,5,4,4,1,4,1,6,1,3,0,3,1,2,1,4,1,0,1,2,1,3,3,4,4,2,3,0,2,5,2,4,0,1,3,1,0,3,1,1,0,1,3,3,3,4,4,2,3,0,3,5,2,4,2,1,3,1,0,3,1,1,0,1,3,1,2,3,0,3,4,2,1,2,5,2,2,2,0,1,0,0,3,1,4,7,2,2,2,3,0,3,4,2,1,2,5,2,2,2,2,1,0,0,4,1,4,7,2,3,4,2,2,5,3,3,3,2,0,4,2,4,3,3,0,2,4,2,0,3,2,3,4,2,2,5,3,3,3,2,0,4,2,4,3,3,0,1,4,2,0,3,2,3,3,3,4,6,3,1,3,3,2,3,1,7,0,4,1,3,1,4,0,2,1,3,3,3,4,6,3,1,3,3,2,3,2,7,0,4,1,3,1,4,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,5,10,3,9,4,4,6,9,3,5,7,3,4,12,9,0,6,2,0,3,4,1,5,9,3,6,4,4,6,8,3,5,6,3,4,12,7,0,6,1,0,3,4,5,5,2,7,3,2,1,4,6,3,6,5,4,2,5,2,4,6,0,5,4,3,5,5,0,7,2,2,1,3,5,3,6,5,4,2,5,2,4,5,0,5,3,3,3,5,4,1,2,7,7,3,5,5,4,6,5,4,1,3,7,5,3,2,4,3,3,4,4,1,2,6,7,2,5,5,4,5,4,4,1,3,7,5,3,1,4,2,2,8,2,5,0,6,6,1,3,2,5,7,3,4,6,2,1,3,2,4,5,1,2,8,2,5,0,5,6,1,3,1,5,7,3,3,4,2,1,3,2,4,5,3,1,5,4,2,2,2,4,6,3,1,3,4,3,5,4,2,8,2,3,5,6,3,1,4,4,2,2,2,4,6,3,1,1,4,3,5,4,2,7,0,3,5,6,3,2,1,8,3,1,1,1,2,7,2,1,4,0,4,5,2,5,4,2,7,8,3,2,1,8,3,1,1,0,2,7,2,0,4,0,4,5,1,5,4,2,6,7,1,2,1,5,5,2,2,3,0,2,2,2,5,5,3,4,0,2,4,4,5,4,1,2,1,5,5,2,2,3,0,2,2,2,5,5,3,4,0,2,4,4,5,4,2,1,2,2,3,4,3,2,3,3,2,3,4,2,6,4,9,1,7,2,0,4,2,1,2,2,3,3,3,2,3,3,2,2,4,2,6,3,9,1,7,2,0,4,3,4,4,5,2,2,3,2,1,3,4,3,2,2,2,3,6,1,5,2,1,3,3,4,4,5,2,2,3,2,1,3,3,3,2,2,2,3,6,1,5,2,1,3,0,2,1,3,5,2,5,2,4,0,2,0,2,3,5,4,3,0,7,2,4,2,0,2,1,3,5,2,5,2,4,0,2,0,2,3,5,4,3,0,7,2,4,2,1,3,1,4,2,1,5,1,2,2,4,0,5,10,3,3,3,4,4,2,3,6,1,3,1,4,2,1,5,1,2,2,3,0,4,10,3,3,3,4,4,2,3,6,6,3,0,4,2,7,3,6,4,2,2,6,7,5,1,2,6,3,5,4,6,6,6,3,0,4,2,7,3,6,4,2,2,6,7,5,1,2,6,3,5,4,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,7,8,7,5,3,6,9,7,8,8,6,8,5,4,10,7,6,3,7,4,8,5,7,6,7,5,2,6,9,7,7,7,6,8,4,4,10,6,4,3,7,3,8,8,2,1,4,5,8,6,6,4,6,4,6,8,4,7,9,6,6,3,7,4,3,8,2,1,3,5,8,6,6,4,5,4,6,7,3,7,8,6,5,2,6,4,3,1,7,7,7,6,6,6,7,4,3,3,6,3,6,4,9,3,5,7,4,6,1,1,7,7,7,6,6,6,6,3,3,3,5,2,6,3,9,3,5,6,4,6,1,2,5,4,8,2,3,5,6,8,3,5,3,5,3,6,8,6,7,2,6,7,4,2,4,4,7,2,3,5,5,7,3,5,3,5,3,6,8,6,7,2,6,7,4,2,4,2,7,3,2,7,3,3,8,4,2,9,1,1,6,2,4,3,6,12,7,2,4,1,7,2,2,7,3,3,8,4,2,8,1,1,5,2,4,3,6,12,7,4,2,7,3,2,7,2,5,4,3,5,3,0,7,2,5,0,4,1,4,2,3,3,2,6,3,2,7,2,5,3,3,5,3,0,7,2,5,0,4,1,3,2,3,2,5,5,1,4,1,4,5,3,8,6,8,4,4,2,9,3,9,2,3,2,3,2,5,5,0,4,1,4,5,3,8,6,8,4,4,1,9,3,8,2,3,2,2,5,4,4,6,6,5,2,7,3,6,6,6,5,5,1,4,6,5,11,4,7,5,5,4,4,6,6,5,2,7,3,6,6,6,5,5,1,4,5,5,11,3,7,5,4,3,4,8,3,4,6,4,2,8,3,8,2,8,2,9,4,6,2,7,2,2,4,3,4,8,3,4,6,3,2,8,3,6,2,8,2,9,4,6,2,7,2,2,8,7,5,2,0,3,9,9,1,3,4,8,8,8,5,4,5,6,4,2,4,4,7,7,5,2,0,3,9,9,1,3,4,8,8,6,5,4,5,5,4,2,4,4,2,7,1,4,7,3,6,5,7,2,6,2,5,6,6,6,3,1,1,3,6,3,2,7,1,4,7,3,6,5,7,2,6,2,5,6,6,6,3,1,1,3,6,3,4,5,7,7,2,4,3,4,5,4,4,7,8,7,5,4,8,6,5,4,6,3,4,5,7,7,2,4,3,4,5,4,4,6,8,7,5,4,8,6,5,4,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,7,10,18,9,17,9,13,12,21,8,8,12,14,9,17,19,7,13,9,3,10,6,7,10,18,9,17,9,13,12,21,8,8,12,14,9,17,19,7,13,9,3,10,11,10,9,3,16,8,5,6,10,7,11,13,8,13,5,14,10,12,9,6,7,11,11,10,9,3,16,8,5,6,10,7,11,13,8,13,5,14,10,12,9,6,7,11,8,6,10,16,11,9,12,10,9,15,9,8,12,8,9,6,8,13,13,7,6,10,8,6,10,16,11,9,12,10,9,15,9,8,12,8,9,6,8,13,13,7,6,10,7,9,16,7,7,4,13,10,5,7,7,11,12,7,8,9,7,5,10,5,13,10,7,9,16,7,7,4,13,10,5,7,7,11,12,7,8,9,7,5,10,5,13,10,8,13,11,10,4,11,7,10,14,9,7,9,11,8,11,7,12,14,8,6,10,10,8,13,11,10,4,11,7,10,14,9,7,9,11,8,11,7,12,14,8,6,10,10,6,7,4,18,9,8,4,5,11,13,6,4,10,11,12,7,12,8,8,7,14,15,6,7,4,18,9,8,4,5,11,13,6,4,10,11,12,7,12,8,8,7,14,15,4,7,6,12,7,5,7,8,8,10,6,7,13,8,6,9,7,6,11,8,9,11,4,7,6,12,7,5,7,8,8,10,6,7,13,8,6,9,7,6,11,8,9,11,9,7,6,6,8,12,11,10,12,7,7,6,11,10,12,8,12,6,8,7,5,13,9,7,6,6,8,12,11,10,12,7,7,6,11,10,12,8,12,6,8,7,5,13,13,10,11,13,4,16,8,14,7,13,9,6,6,5,6,8,7,2,13,6,6,10,13,10,11,13,4,16,8,14,7,13,9,6,6,5,6,8,7,2,13,6,6,10,6,11,10,8,7,8,13,9,11,1,8,5,9,16,12,14,9,7,13,10,10,8,6,11,10,8,7,8,13,9,11,1,8,5,9,16,12,14,9,7,13,10,10,8,7,8,7,8,5,9,10,10,9,6,10,4,13,17,12,7,13,9,9,2,7,14,7,8,7,8,5,9,10,10,9,6,10,4,13,17,12,7,13,9,9,2,7,14,11,12,5,11,9,10,5,14,13,10,10,13,15,12,8,8,8,9,10,13,11,15,11,12,5,11,9,10,5,14,13,10,10,13,15,12,8,8,8,9,10,13,11,15,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,12,16,13,13,10,13,10,15,13,16,14,11,10,17,7,16,12,12,9,13,10,13,12,16,13,13,10,13,10,15,13,16,14,11,10,17,7,16,12,12,9,13,10,13,14,5,8,7,11,9,11,11,15,13,10,7,10,6,11,10,11,14,10,7,7,8,14,5,8,7,11,9,11,11,15,13,10,7,10,6,11,10,11,14,10,7,7,8,6,11,10,8,11,11,13,15,9,8,10,12,7,12,8,11,6,8,14,9,14,5,6,11,10,8,11,11,13,15,9,8,10,12,7,12,8,11,6,8,14,9,14,5,7,14,5,11,7,12,9,10,12,9,8,7,12,7,12,11,8,9,5,12,15,6,7,14,5,11,7,12,9,10,12,9,8,7,12,7,12,11,8,9,5,12,15,6,6,10,9,10,7,5,11,6,8,13,5,5,13,3,1,11,5,8,8,7,15,12,6,10,9,10,7,5,11,6,8,13,5,5,13,3,1,11,5,8,8,7,15,12,7,3,11,7,5,9,6,8,7,9,10,10,2,8,7,12,4,7,5,8,8,8,7,3,11,7,5,9,6,8,7,9,10,10,2,8,7,12,4,7,5,8,8,8,9,9,10,4,6,4,8,7,7,14,10,13,7,11,10,11,6,12,5,10,4,8,9,9,10,4,6,4,8,7,7,14,10,13,7,11,10,11,6,12,5,10,4,8,11,7,9,15,13,6,12,10,11,10,11,7,9,7,3,9,11,7,13,7,12,9,11,7,9,15,13,6,12,10,11,10,11,7,9,7,3,9,11,7,13,7,12,9,8,8,10,15,6,10,7,7,10,10,11,10,6,14,4,12,11,9,4,9,7,8,8,8,10,15,6,10,7,7,10,10,11,10,6,14,4,12,11,9,4,9,7,8,10,14,9,2,5,8,12,13,3,9,6,14,16,10,6,7,6,12,9,10,13,8,10,14,9,2,5,8,12,13,3,9,6,14,16,10,6,7,6,12,9,10,13,8,6,12,5,7,13,7,12,8,9,4,14,8,12,14,13,6,7,6,8,3,11,5,6,12,5,7,13,7,12,8,9,4,14,8,12,14,13,6,7,6,8,3,11,5,8,9,14,12,10,7,6,9,10,9,9,9,18,11,11,7,12,8,9,6,10,5,8,9,14,12,10,7,6,9,10,9,9,9,18,11,11,7,12,8,9,6,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,2,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,2,0,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,2,2,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,2,2,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,2,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,2,1,2,0,1,1,0,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,1,0,1,0,1,2,1,0,0,0,0,0,0,0,0,2,0,0,2,0,1,1,1,0,1,0,1,2,1,0,0,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,3,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,3,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,2,0,0,0,1,0,2,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,0,0,1,1,2,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,3,1,0,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,3,1,0,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,3,0,0,2,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,1,2,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,2,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,2,0,0,0,1,1,1,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,2,2,0,2,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,2,0,1,2,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,3,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,3,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,3,2,1,3,2,2,0,2,1,2,2,1,1,1,2,0,0,1,1,1,1,1,3,2,1,3,2,2,0,2,1,2,2,1,1,1,2,0,0,1,1,0,0,2,1,2,1,3,0,0,2,0,0,0,0,1,2,3,4,2,2,0,1,0,0,2,1,2,1,3,0,0,2,0,0,0,0,1,2,3,4,2,2,0,1,1,1,1,1,1,1,0,1,0,1,0,0,4,1,2,2,3,2,2,1,1,2,1,1,1,1,1,1,0,1,0,1,0,0,4,1,2,2,3,2,2,1,1,2,1,1,2,0,0,1,0,2,1,4,2,1,1,3,3,2,1,1,1,1,1,0,1,1,2,0,0,1,0,2,1,4,2,1,1,3,3,2,1,1,1,1,1,0,1,0,1,0,2,4,1,0,3,0,3,1,1,0,2,0,1,0,0,2,0,0,1,0,1,0,2,4,1,0,3,0,3,1,1,0,2,0,1,0,0,2,0,0,1,0,2,2,1,2,1,0,0,1,1,3,0,1,2,1,1,0,0,3,0,0,1,0,2,2,1,2,1,0,0,1,1,3,0,1,2,1,1,0,0,3,0,0,1,1,0,0,0,5,0,1,3,0,4,2,3,0,1,0,1,2,3,0,0,0,1,1,0,0,0,5,0,1,3,0,4,2,3,0,1,0,1,2,3,0,0,0,1,1,3,0,1,1,0,3,0,0,1,0,0,0,1,0,1,0,1,3,0,0,1,1,3,0,1,1,0,3,0,0,1,0,0,0,1,0,1,0,1,3,0,0,1,0,0,0,0,1,0,4,2,1,1,1,1,5,4,0,1,3,0,1,2,0,1,0,0,0,0,1,0,4,2,1,1,1,1,5,4,0,1,3,0,1,2,0,0,0,1,1,1,1,0,0,0,2,0,1,1,1,1,0,1,1,1,4,2,2,0,0,1,1,1,1,0,0,0,2,0,1,1,1,1,0,1,1,1,4,2,2,0,1,0,1,1,0,0,1,1,2,1,1,1,1,2,2,2,3,3,1,1,4,0,1,0,1,1,0,0,1,1,2,1,1,1,1,2,2,2,3,3,1,1,4,1,3,1,0,2,1,0,2,2,0,3,1,0,2,0,0,1,2,2,1,1,3,1,3,1,0,2,1,0,2,2,0,3,1,0,2,0,0,1,2,2,1,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,2,2,0,1,1,2,1,1,0,3,3,1,3,0,0,0,2,1,0,0,1,0,2,2,0,1,1,2,1,1,0,3,3,1,3,0,0,1,1,1,0,0,1,0,3,1,1,0,0,0,1,2,0,1,3,3,1,0,0,1,1,1,0,0,1,0,3,1,1,0,0,0,1,2,0,1,3,3,1,0,1,1,3,0,2,2,0,1,0,2,1,1,0,2,2,2,1,2,1,0,1,1,1,1,3,0,2,2,0,1,0,2,1,1,0,2,2,2,1,2,1,0,1,1,0,2,0,2,0,1,0,0,1,0,0,1,1,3,2,0,1,2,2,1,5,1,0,2,0,2,0,1,0,0,1,0,0,1,1,3,2,0,1,2,2,1,5,1,1,0,0,0,0,0,0,1,1,1,1,1,0,2,0,1,2,2,0,2,4,0,1,0,0,0,0,0,0,1,1,1,1,1,0,2,0,1,2,2,0,2,4,0,0,2,1,1,0,1,1,0,1,2,0,2,3,1,0,1,3,0,0,1,0,2,0,2,1,1,0,1,1,0,1,2,0,2,3,1,0,1,3,0,0,1,0,2,2,2,0,0,0,2,3,0,2,0,2,2,1,1,0,3,2,1,3,1,0,0,2,2,0,0,0,2,3,0,2,0,2,2,1,1,0,3,2,1,3,1,0,0,1,0,1,1,2,0,2,0,2,0,0,1,0,0,1,1,0,1,1,3,2,0,1,0,1,1,2,0,2,0,2,0,0,1,0,0,1,1,0,1,1,3,2,0,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,2,1,0,2,2,1,0,0,0,0,0,1,2,1,0,0,0,2,0,1,2,0,2,1,0,2,2,1,0,0,0,0,0,0,1,1,1,0,0,0,3,2,5,1,0,0,2,0,0,1,2,0,0,0,0,0,1,1,1,0,0,0,3,2,5,1,0,0,2,0,0,1,2,0,0,2,1,1,0,2,1,2,1,0,4,1,1,1,0,2,2,1,1,2,1,0,0,2,1,1,0,2,1,2,1,0,4,1,1,1,0,2,2,1,1,2,1,1,1,1,0,1,1,1,0,2,3,0,1,3,1,1,0,3,1,3,0,0,1,1,1,1,0,1,1,1,0,2,3,0,1,3,1,1,0,3,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,3,1,0,0,0,0,1,0,2,0,0,1,1,2,1,0,0,1,1,0,0,0,3,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,3,0,0,3,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,2,3,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,3,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,2,0,1,0,0,3,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,2,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,2,0,0,2,0,1,1,0,0,1,0,0,1,3,0,0,1,1,0,0,0,1,2,0,0,2,0,1,1,0,0,1,0,0,1,3,0,0,1,0,0,0,0,0,0,2,0,1,3,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,1,3,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,2,0,1,2,0,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,2,0,1,2,1,2,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,2,0,0,0,1,1,0,1,2,1,1,0,1,1,0,0,0,0,2,0,1,1,2,0,0,0,1,1,0,1,2,1,1,0,1,1,0,0,0,0,2,2,1,2,0,0,2,2,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,2,1,2,0,0,2,2,1,0,1,1,0,0,1,0,2,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,0,2,1,0,1,1,0,0,0,1,1,0,1,1,1,0,3,0,1,2,1,4,0,3,1,0,1,1,0,0,0,1,1,0,1,1,1,0,3,0,1,2,2,0,0,2,1,0,1,0,1,0,0,2,0,2,2,3,1,0,2,1,2,1,3,1,0,2,0,0,2,0,1,0,0,3,0,2,2,3,0,0,2,2,2,0,0,1,0,0,1,2,4,1,1,1,1,1,1,0,1,2,1,0,2,0,1,0,0,1,0,1,1,0,4,2,1,1,1,1,2,0,1,2,1,1,2,0,1,0,2,1,1,0,1,0,0,0,2,1,1,3,0,0,0,1,1,0,0,0,0,0,2,0,2,0,1,0,0,0,2,1,1,3,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,2,0,1,2,0,1,1,2,4,0,1,0,0,1,0,0,0,1,0,1,0,2,2,0,1,2,0,1,1,2,4,0,1,0,0,1,2,1,0,0,0,0,1,0,1,0,3,0,3,2,1,0,2,2,1,1,1,2,2,1,0,0,0,0,0,0,1,1,3,0,3,2,1,0,2,2,1,1,1,2,2,2,1,1,1,0,1,1,0,0,0,3,2,0,0,1,1,2,3,0,0,1,2,2,1,1,1,0,1,1,0,0,0,3,2,0,0,1,1,2,3,0,0,1,3,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,2,1,0,4,3,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,2,1,0,3,1,0,0,1,0,3,0,1,0,0,2,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,3,1,0,0,0,2,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,2,1,1,1,1,2,4,0,1,1,1,0,2,1,1,0,0,0,1,1,0,0,3,1,1,1,1,2,4,0,1,1,1,0,2,1,1,0,0,0,1,0,1,1,2,0,1,1,0,1,0,2,0,2,2,0,4,2,1,0,0,0,1,0,1,1,2,0,1,1,0,1,0,2,0,2,2,0,4,2,1,0,0,3,0,0,0,2,1,2,1,1,1,0,1,0,0,0,1,0,0,0,3,0,0,3,0,0,0,2,1,2,1,1,1,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,1,0,1,0,3,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,0,2,1,0,1,0,3,0,0,1,0,0,1,2,0,1,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,2,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,2,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,0,1,1,0,2,0,0,1,1,2,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,2,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,2,1,0,1,0,1,1,3,1,1,1,1,0,1,1,0,0,1,0,0,1,0,2,1,0,1,0,1,1,3,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,1,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,2,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,4,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,4,2,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,2,3,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,1,6,2,1,0,0,2,2,3,1,2,0,2,0,0,0,0,3,0,3,1,0,1,6,2,2,0,0,2,3,3,1,2,1,2,0,0,0,0,4,0,0,3,2,2,2,2,0,2,1,2,0,1,2,1,2,0,0,2,2,1,2,0,0,2,1,3,2,2,0,1,1,2,0,1,1,1,2,2,0,2,3,1,1,0,8,3,0,3,1,1,2,0,2,0,1,0,1,3,1,1,1,2,4,0,3,1,8,3,0,3,0,1,2,0,1,0,1,0,1,2,1,1,1,2,3,0,4,1,2,2,1,4,1,1,1,2,0,2,1,1,2,1,1,1,1,0,1,5,2,3,2,2,1,3,1,1,1,2,0,2,1,1,2,1,1,1,1,0,1,4,2,3,3,2,2,2,1,1,0,4,2,1,1,0,1,1,0,1,2,0,1,3,1,3,3,2,2,2,1,1,0,4,2,2,1,0,1,1,0,1,2,0,1,3,1,3,0,4,2,1,0,1,4,0,0,1,0,0,2,0,1,0,0,0,1,3,3,0,0,4,2,1,0,1,5,0,0,0,1,0,2,0,1,0,0,1,1,3,3,0,0,2,1,3,1,1,0,1,0,2,0,0,0,0,2,1,2,2,2,1,0,1,0,2,1,3,1,1,0,1,0,2,0,0,0,0,2,1,2,2,2,1,0,1,2,3,2,4,0,1,1,0,0,1,1,2,1,2,3,0,2,1,2,1,3,3,2,3,2,5,0,1,1,0,0,1,1,2,1,2,3,0,2,1,2,1,3,3,3,1,4,3,1,2,3,1,4,1,0,0,2,0,1,2,1,3,2,1,0,1,3,1,4,3,1,2,2,2,4,1,0,0,2,0,1,2,1,3,2,1,0,1,2,1,1,0,5,2,0,0,5,1,1,0,1,0,1,1,2,1,1,2,0,2,2,1,1,0,5,1,0,0,5,1,1,0,1,0,1,1,2,1,1,2,0,2,3,3,1,3,2,3,2,2,1,1,2,0,1,0,2,0,1,1,0,1,1,1,3,3,1,3,2,3,2,2,1,1,2,0,1,0,2,0,1,1,0,1,1,1,3,1,1,1,0,3,2,0,2,1,1,1,0,1,1,3,1,0,1,1,1,1,3,1,1,1,0,3,2,0,2,1,1,1,0,1,1,3,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,2,2,3,1,1,2,2,1,1,0,0,1,1,0,0,1,4,2,1,2,0,1,2,2,2,1,1,2,3,1,1,0,0,1,1,0,0,2,4,2,2,2,3,1,2,2,1,2,0,4,1,0,1,1,3,2,1,0,1,3,0,1,2,2,3,1,2,2,1,3,0,4,1,0,0,1,4,2,1,0,1,3,1,1,0,3,2,1,2,0,2,2,1,1,2,1,0,3,0,2,0,3,0,1,2,0,1,3,2,1,2,0,2,3,0,1,2,1,0,3,0,1,0,3,1,1,2,0,0,2,1,0,1,0,0,1,0,1,0,1,4,2,0,2,0,0,2,0,1,1,0,2,1,0,1,0,0,2,1,1,0,2,4,2,1,2,0,0,2,0,2,1,1,1,2,1,3,1,0,3,2,3,2,0,1,1,1,0,1,1,1,0,3,1,1,1,2,1,3,1,0,3,2,3,2,1,1,1,1,0,1,1,1,0,3,1,1,0,1,2,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,3,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,3,4,1,1,0,1,1,2,1,0,0,2,0,0,1,0,0,1,2,1,1,0,3,4,1,1,0,1,1,2,1,0,0,2,0,0,0,1,0,1,2,1,1,0,1,1,3,1,0,0,1,2,1,0,0,2,2,0,1,0,1,3,1,0,1,0,1,1,3,1,0,0,1,2,1,0,0,2,2,0,1,0,1,3,1,0,1,1,3,1,2,1,2,1,3,2,1,1,2,0,1,2,0,2,1,0,0,0,0,1,3,1,2,1,2,1,3,2,2,1,2,0,1,1,0,2,1,0,0,0,0,0,0,2,0,0,2,0,3,1,0,0,3,0,1,0,2,1,0,0,1,1,0,0,0,2,0,0,2,0,3,1,0,0,3,0,1,0,2,1,0,1,1,1,0,2,3,1,1,0,2,1,3,0,1,1,0,1,1,0,0,0,2,0,1,2,3,2,3,1,1,0,2,1,3,0,1,1,0,1,1,0,0,0,2,0,1,2,3,3,1,1,3,2,2,3,0,4,0,0,1,3,1,0,0,0,1,1,1,3,1,3,1,1,3,2,2,3,0,4,0,0,1,3,1,0,0,0,1,1,1,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,6,0,1,4,1,2,1,0,1,3,2,1,1,2,2,1,3,1,2,5,2,3,6,0,1,3,1,1,1,0,1,2,2,1,1,1,2,1,3,1,2,4,2,2,2,2,2,3,2,3,2,3,3,1,2,2,2,0,4,3,2,1,1,3,2,2,2,2,1,3,2,3,2,3,3,1,2,2,2,0,2,3,2,0,1,3,2,0,1,1,0,3,2,3,0,2,3,0,0,2,1,1,3,4,0,2,2,1,1,0,1,1,0,3,2,3,0,2,3,0,0,2,1,1,3,4,0,2,2,0,1,0,0,1,2,1,1,4,1,3,1,1,2,1,1,2,2,1,0,2,0,0,1,0,0,1,2,1,1,4,1,3,1,1,2,1,1,2,2,1,0,2,0,0,1,2,1,2,1,1,1,1,2,2,1,2,1,1,0,1,0,2,2,1,0,1,1,2,1,2,1,1,1,1,2,2,0,2,1,1,0,1,0,2,2,1,0,1,1,1,0,4,2,0,2,1,1,3,3,2,1,3,1,3,3,3,2,1,0,2,0,1,0,4,2,0,2,0,1,3,3,1,1,3,1,3,3,3,1,1,0,2,0,1,1,0,0,0,1,1,2,0,2,0,1,2,0,1,1,1,0,3,1,1,0,1,1,0,0,0,1,1,2,0,2,0,1,2,0,1,1,1,0,3,1,1,0,0,1,1,1,0,0,1,2,1,0,2,1,0,0,1,1,2,0,0,1,2,3,0,1,1,0,0,0,1,2,1,0,2,1,0,0,1,1,2,0,0,1,2,3,3,1,1,1,3,2,1,4,1,0,2,0,2,3,0,1,1,3,2,1,2,3,3,1,1,1,3,2,1,3,1,0,2,0,2,3,0,1,1,3,2,1,2,3,1,2,1,3,1,4,2,0,5,1,2,1,1,1,1,1,0,2,0,1,3,1,1,2,1,3,1,4,2,0,5,1,2,1,1,1,1,1,0,2,0,1,3,1,2,0,1,1,1,0,4,1,1,0,1,1,1,0,2,0,2,4,0,5,1,0,2,0,1,1,1,0,4,1,1,0,1,1,1,0,2,0,2,4,0,5,1,0,2,1,2,2,3,3,1,3,1,3,1,1,2,0,3,1,0,2,1,2,2,2,2,1,2,2,3,3,1,3,1,3,1,1,2,0,3,1,0,2,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,4,2,5,4,3,4,3,2,4,1,4,0,1,4,3,3,3,1,7,3,1,0,4,2,5,4,3,4,3,1,4,1,4,0,1,4,3,3,2,1,7,3,1,1,4,4,3,2,1,1,3,2,2,1,2,3,1,3,1,2,2,2,4,3,1,1,4,4,3,2,0,1,3,2,2,1,2,2,1,3,1,2,2,1,4,2,3,1,3,4,2,1,3,0,1,2,1,4,3,4,4,1,2,5,1,3,3,1,3,1,3,4,2,1,1,0,1,1,1,4,3,4,4,1,2,4,1,3,3,2,5,3,3,3,1,2,1,2,2,2,1,2,2,1,3,2,2,0,0,4,1,2,5,3,3,3,1,2,0,1,2,2,0,2,2,0,3,2,2,0,0,3,1,4,2,2,0,2,1,2,2,4,2,2,2,4,3,2,2,2,4,4,5,3,0,4,2,2,0,2,1,2,2,4,2,2,1,4,3,2,2,2,4,4,5,3,0,0,3,2,3,4,4,0,3,3,3,0,3,3,0,3,1,1,1,1,1,2,2,0,3,2,2,4,4,0,3,3,3,0,3,3,0,3,1,1,1,1,1,2,2,3,3,2,2,0,3,2,3,0,0,1,3,2,1,4,3,2,2,2,1,0,1,3,3,2,2,0,3,2,3,0,0,1,3,2,1,4,3,1,2,2,1,0,1,2,0,1,2,1,5,2,2,2,2,1,4,3,2,3,1,2,1,3,2,0,1,2,0,1,2,1,5,2,2,2,2,1,4,3,2,3,1,2,1,3,2,0,1,4,2,4,0,0,3,1,2,2,7,0,0,5,3,0,0,2,1,1,1,2,0,4,2,4,0,0,3,1,2,2,6,0,0,5,3,0,0,2,1,1,1,2,0,3,5,0,0,4,0,0,1,2,2,0,2,0,4,2,1,4,1,5,5,1,2,3,5,0,0,4,0,0,1,2,2,0,2,0,4,2,1,4,1,4,5,1,2,2,1,2,2,2,4,4,2,3,2,3,6,0,2,1,1,1,1,0,3,1,2,2,1,2,2,2,4,4,2,3,2,3,6,0,2,1,1,1,1,0,3,1,2,4,1,3,2,2,1,1,4,3,1,4,3,2,0,0,2,1,4,4,2,2,2,4,1,3,2,2,1,1,4,3,1,4,3,2,0,0,2,1,4,4,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,4,2,12,5,3,2,2,5,5,5,3,4,3,6,3,5,1,5,8,3,8,8,4,2,12,5,3,2,2,5,5,5,3,4,3,6,3,5,1,5,8,3,4,9,5,4,7,5,4,5,4,6,4,4,6,3,4,6,7,5,5,4,6,5,4,9,5,4,7,5,4,5,4,6,4,4,6,3,4,6,7,5,5,4,6,5,8,4,2,3,7,4,7,7,5,5,2,1,5,5,2,6,9,3,6,4,4,3,8,4,2,3,7,4,7,7,5,5,2,1,5,5,2,6,9,3,6,4,4,3,3,4,4,7,3,3,5,6,3,6,4,4,6,2,4,3,5,2,4,5,2,5,3,4,4,7,3,3,5,6,3,6,4,4,6,2,4,3,5,2,4,5,2,5,5,4,4,4,2,4,3,8,7,2,4,3,3,3,2,4,9,2,3,3,2,5,5,4,4,4,2,4,3,8,7,2,4,3,3,3,2,4,9,2,3,3,2,5,3,6,6,3,0,4,6,1,5,4,5,2,8,3,5,4,6,5,4,4,7,2,3,6,6,3,0,4,6,1,5,4,5,2,8,3,5,4,6,5,4,4,7,2,4,5,2,4,3,4,2,4,2,5,1,5,4,0,5,3,4,5,11,3,1,3,4,5,2,4,3,4,2,4,2,5,1,5,4,0,5,3,4,5,11,3,1,3,5,5,4,6,0,2,5,3,3,5,4,3,1,2,5,3,5,3,5,4,5,10,5,5,4,6,0,2,5,3,3,5,4,3,1,2,5,3,5,3,5,4,5,10,7,2,5,7,4,8,6,6,7,2,4,0,5,4,3,4,3,7,6,2,2,6,7,2,5,7,4,8,6,6,7,2,4,0,5,4,3,4,3,7,6,2,2,6,3,5,4,5,6,9,3,2,13,3,6,7,3,3,3,4,3,6,2,4,3,5,3,5,4,5,6,9,3,2,13,3,6,7,3,3,3,4,3,6,2,4,3,5,7,5,4,5,4,7,8,5,3,2,5,1,4,1,6,4,3,9,3,7,2,1,7,5,4,5,4,7,8,5,3,2,5,1,4,1,6,4,3,9,3,7,2,1,8,3,4,4,5,7,6,5,4,6,2,4,4,1,4,5,2,2,2,6,3,3,8,3,4,4,5,7,6,5,4,6,2,4,4,1,4,5,2,2,2,6,3,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,5,5,0,5,4,8,7,5,6,5,6,6,3,4,0,4,7,4,4,4,8,10,5,5,0,5,4,8,7,5,6,5,6,6,3,4,0,4,7,4,4,4,8,10,5,4,4,6,8,7,4,4,1,7,4,2,3,4,8,3,7,1,4,5,3,6,5,4,4,6,8,7,4,4,1,7,4,2,3,4,8,3,7,1,4,5,3,6,3,6,3,4,6,2,4,7,2,3,4,2,5,7,5,8,1,5,6,3,5,3,3,6,3,4,6,2,4,7,2,3,4,2,5,7,5,8,1,5,6,3,5,3,4,8,4,5,5,1,2,2,2,3,3,3,8,4,2,5,3,3,2,1,7,3,4,8,4,5,5,1,2,2,2,3,3,3,8,4,2,5,3,3,2,1,7,3,6,5,4,3,5,3,4,6,8,6,5,3,7,4,4,3,3,5,6,6,8,1,6,5,4,3,5,3,4,6,8,6,5,3,7,4,4,3,3,5,6,6,8,1,1,4,3,6,6,6,1,3,3,3,1,3,3,2,4,1,1,3,2,2,4,2,1,4,3,6,6,6,1,3,3,3,1,3,3,2,4,1,1,3,2,2,4,2,3,7,7,3,1,3,4,4,2,1,1,4,7,2,5,4,3,2,4,3,2,3,3,7,7,3,1,3,4,4,2,1,1,4,7,2,5,4,3,2,4,3,2,3,3,2,5,5,4,6,2,3,6,3,1,5,5,7,4,2,4,2,7,6,3,3,3,2,5,5,4,6,2,3,6,3,1,5,5,7,4,2,4,2,7,6,3,3,5,6,5,2,1,6,2,5,4,9,2,2,5,4,3,1,4,3,4,2,2,0,5,6,5,2,1,6,2,5,4,9,2,2,5,4,3,1,4,3,4,2,2,0,3,5,2,1,4,3,0,4,3,4,1,6,2,7,4,7,7,2,5,7,2,3,3,5,2,1,4,3,0,4,3,4,1,6,2,7,4,7,7,2,5,7,2,3,6,5,3,4,3,6,6,5,4,3,5,7,3,5,1,2,1,5,1,4,4,6,6,5,3,4,3,6,6,5,4,3,5,7,3,5,1,2,1,5,1,4,4,6,8,2,5,6,5,3,5,5,8,2,4,5,5,3,0,2,2,6,5,5,8,3,8,2,5,6,5,3,5,5,8,2,4,5,5,3,0,2,2,6,5,5,8,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,3,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,1,0,0,2,1,2,0,0,0,1,3,3,0,1,0,1,1,1,1,1,3,3,1,0,0,2,1,2,0,0,0,1,3,3,0,1,0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,2,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,2,0,0,1,1,1,3,0,2,1,2,0,2,1,1,0,1,0,2,1,1,2,1,0,0,1,1,1,3,0,2,1,2,0,2,1,1,0,1,0,2,1,1,2,1,1,0,1,0,0,1,0,2,1,0,1,0,1,3,2,0,0,0,2,1,2,0,1,0,1,0,0,1,0,2,1,0,1,0,1,3,2,0,0,0,2,1,2,0,0,0,1,0,0,0,2,1,4,0,1,1,2,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,2,1,4,0,1,1,2,1,0,0,2,1,0,0,0,0,2,2,1,0,2,0,0,1,1,2,2,2,0,1,0,1,1,0,0,0,1,1,2,2,1,0,2,0,0,1,1,2,2,2,0,1,0,1,1,0,0,0,1,1,0,1,1,2,2,0,4,0,1,1,0,0,0,3,2,0,2,1,0,1,1,0,0,1,1,2,2,0,4,0,1,1,0,0,0,3,2,0,2,1,0,1,1,0,0,1,5,1,0,0,3,1,3,1,0,2,1,0,1,0,1,1,0,4,0,0,0,1,5,1,0,0,3,1,3,1,0,2,1,0,1,0,1,1,0,4,0,0,1,3,3,1,0,1,0,2,0,2,3,1,0,1,1,0,1,0,0,1,0,2,1,3,4,1,0,1,0,2,0,2,3,1,0,1,1,0,1,0,0,1,0,2,1,2,0,1,0,0,0,0,0,1,0,1,1,1,1,1,1,1,0,0,2,1,1,2,0,1,0,0,0,0,0,1,0,1,2,1,1,1,1,1,0,0,2,1,3,0,2,2,0,0,1,1,2,1,1,0,2,1,0,2,0,0,0,0,0,1,3,0,2,2,0,0,1,1,2,1,1,0,2,1,0,2,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,2,2,2,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,2,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,1,2,2,1,0,1,1,0,0,0,1,2,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,3,0,3,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,3,0,3,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,2,0,2,1,0,1,1,0,1,0,1,2,0,0,0,1,2,1,0,0,0,0,2,0,2,1,0,1,1,0,1,0,1,2,0,0,0,1,0,0,0,3,0,1,0,1,0,1,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,3,0,1,0,1,0,1,1,0,0,0,1,0,3,0,0,0,0,0,2,1,0,0,2,0,2,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,2,1,0,0,2,0,2,1,1,1,1,1,0,0,2,0,0,0,1,1,1,1,1,0,0,1,2,1,1,1,1,1,0,1,0,0,1,0,1,0,2,1,0,0,1,0,0,1,2,1,1,1,1,1,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,3,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,3,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,1,0,0,1,1,0,0,0,1,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,7,7,4,4,8,6,6,9,5,6,9,5,10,5,4,6,6,5,2,1,4,4,7,8,5,4,8,6,6,9,6,6,11,5,10,5,4,7,6,5,2,2,5,9,6,9,3,5,5,7,3,7,5,5,3,2,5,6,7,5,3,4,5,4,3,9,6,10,3,5,6,7,3,7,5,6,5,2,5,8,7,6,3,5,6,5,3,4,7,6,3,6,4,7,6,5,3,5,2,7,2,6,3,3,5,3,5,5,6,4,9,7,3,6,4,7,6,5,3,5,3,7,3,6,4,3,5,3,7,5,7,6,6,2,7,3,6,6,8,3,8,2,1,6,1,4,5,8,5,3,4,3,5,6,6,2,7,4,6,6,8,3,8,2,1,6,1,5,5,8,5,3,4,3,5,4,3,8,3,12,3,4,5,6,6,3,5,5,5,4,4,4,4,8,4,7,0,5,3,8,3,12,4,5,6,6,7,4,6,5,5,4,4,4,4,8,4,7,0,7,4,6,8,6,4,4,8,6,5,4,8,6,2,1,5,3,1,2,3,5,2,7,5,6,8,7,4,4,9,6,5,5,9,6,2,2,6,3,2,2,3,5,2,4,7,5,5,7,6,7,7,3,4,7,6,6,6,2,2,5,2,3,8,5,3,4,7,5,5,7,6,7,7,3,4,7,6,6,7,3,2,6,2,3,8,5,3,3,8,6,0,10,11,7,4,1,6,9,7,9,7,2,7,4,1,2,4,3,1,3,9,7,0,10,11,7,4,1,6,9,8,9,7,4,7,4,1,3,5,3,1,3,6,10,4,5,7,7,4,3,4,4,7,2,3,5,4,4,3,5,2,2,2,3,7,9,4,5,7,7,4,3,4,5,7,2,3,5,4,4,3,5,2,2,2,9,5,8,6,12,6,10,8,9,4,2,4,4,5,8,4,5,5,7,5,4,7,9,5,8,6,12,6,10,8,9,4,2,4,3,5,8,4,5,5,7,5,4,7,5,6,6,4,6,6,5,9,5,12,2,6,7,3,3,4,7,7,2,2,4,5,5,6,6,4,6,6,5,9,5,12,2,6,7,4,3,4,7,8,2,2,4,5,11,3,13,5,8,4,9,10,5,4,11,3,6,3,8,2,5,7,2,5,5,8,11,3,13,5,8,4,9,10,5,4,11,3,6,3,8,2,5,7,2,5,5,8,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,2,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,2,2,0,1,0,5,6,4,3,4,4,4,3,2,1,3,6,7,3,2,3,3,3,2,3,2,0,6,6,4,4,4,6,4,3,2,2,3,7,7,3,3,3,3,5,3,3,2,0,6,6,3,2,4,5,8,5,4,5,5,3,5,1,0,6,3,1,4,2,6,3,6,6,4,3,4,5,9,5,4,5,8,3,5,1,2,7,3,1,4,2,6,3,6,6,5,5,3,8,1,3,4,1,5,4,4,4,3,5,2,3,4,2,5,5,6,6,4,5,2,8,1,3,4,1,5,4,3,4,3,5,2,3,5,2,5,5,7,4,6,0,2,3,3,1,3,5,4,3,3,4,7,3,2,3,3,1,5,3,8,4,6,1,2,4,3,3,3,5,4,3,3,6,8,3,3,3,3,1,5,3,7,3,5,4,8,4,8,2,5,3,6,3,3,3,1,2,2,2,2,2,4,3,7,3,6,4,8,4,8,2,5,3,6,3,3,4,1,2,2,2,2,2,4,3,2,4,11,4,5,6,4,1,6,2,7,2,4,3,3,4,5,5,3,2,0,2,2,4,11,4,5,6,5,1,6,2,7,2,4,3,3,4,5,6,4,2,0,2,5,1,5,3,5,6,7,4,6,0,3,3,0,8,9,1,1,0,1,3,3,3,5,1,5,3,5,6,8,4,6,1,3,3,0,8,9,2,1,1,2,3,3,3,6,3,3,3,5,4,7,5,3,2,3,9,3,3,3,2,4,2,2,5,3,1,6,3,3,3,6,5,7,6,3,2,3,9,4,5,4,2,4,2,2,7,4,1,3,0,2,9,1,8,2,6,3,3,2,3,5,3,3,0,2,2,4,6,1,1,3,1,2,9,1,8,2,6,3,3,2,3,5,3,3,1,3,2,4,6,2,1,5,5,5,0,8,7,8,5,5,5,2,1,5,4,3,4,0,3,0,3,3,2,5,5,5,0,8,7,8,6,5,5,2,1,6,4,3,4,0,3,0,3,3,2,1,5,4,1,7,6,2,4,4,2,3,3,3,2,5,5,3,1,4,1,2,2,1,5,4,1,7,6,2,4,4,2,3,3,3,2,5,5,3,1,4,1,2,2,3,5,9,6,4,3,10,5,3,8,4,3,4,8,3,4,2,5,2,5,2,5,3,5,9,6,4,3,10,5,3,8,4,3,4,8,3,4,2,5,2,5,2,5,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,5,9,8,9,5,3,3,6,6,5,8,7,8,8,8,5,8,5,9,7,9,13,5,11,7,10,7,3,3,6,6,4,9,5,10,10,8,5,11,9,10,7,10,14,2,6,3,7,7,9,5,6,4,6,7,5,1,5,7,7,7,6,10,11,12,2,6,6,4,8,8,8,5,7,4,6,6,3,1,5,6,7,6,6,12,12,13,3,9,10,7,8,6,8,11,6,3,10,6,6,11,11,11,6,9,6,12,8,9,9,9,11,7,8,8,9,11,6,4,11,7,6,14,10,12,7,9,7,15,7,11,8,7,19,6,7,7,13,8,2,4,4,6,11,6,7,6,7,8,10,9,6,9,7,7,21,7,8,6,13,9,3,4,4,6,11,6,8,6,9,8,10,10,6,9,7,10,13,5,5,11,4,9,12,9,8,9,5,10,11,6,5,6,8,10,2,8,6,9,13,5,8,11,3,8,12,10,7,8,4,12,12,6,5,6,8,11,2,8,6,6,10,6,6,6,5,5,9,11,6,9,4,3,6,9,6,5,9,14,4,2,6,7,11,7,6,5,6,5,8,11,7,10,3,3,6,8,5,5,8,15,5,3,6,7,8,6,3,6,6,1,8,7,2,5,6,5,6,9,7,7,5,3,10,9,5,9,10,7,4,6,7,1,8,8,3,6,8,8,5,8,7,6,6,3,11,9,5,7,4,10,5,9,5,1,6,3,11,11,5,3,6,10,7,4,12,7,11,8,6,7,3,9,7,9,6,1,7,3,12,12,4,3,8,9,7,4,12,7,11,8,6,5,8,6,4,9,8,5,4,9,7,3,9,8,2,9,10,7,5,10,6,8,9,6,8,7,5,9,8,5,4,11,7,2,9,9,2,9,10,7,5,10,6,9,9,8,8,5,9,7,11,9,6,8,9,9,10,4,5,5,5,6,6,5,3,9,9,8,9,6,9,7,11,9,7,8,10,10,10,4,6,5,5,6,6,5,3,9,10,6,4,6,11,6,9,7,7,5,9,9,8,6,8,12,11,10,6,4,7,3,13,6,4,6,11,6,9,7,7,5,9,9,8,6,7,12,11,10,5,4,7,3,13,7,6,5,9,8,14,4,6,10,10,6,10,11,7,10,8,9,6,10,8,10,10,8,6,5,9,8,14,4,6,10,10,6,10,11,7,10,8,9,6,10,8,10,10,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,3,5,3,2,7,2,4,6,5,4,4,6,6,6,8,4,7,6,8,6,7,3,5,6,4,3,5,3,5,6,4,6,3,7,8,5,8,4,7,5,10,6,8,4,8,6,7,9,9,5,4,9,6,11,6,5,4,7,2,6,6,5,8,6,2,4,8,5,6,10,9,4,6,9,6,8,7,5,4,7,1,6,7,5,8,6,3,5,8,6,7,4,4,3,3,1,9,3,2,2,4,7,4,5,6,9,4,5,2,6,8,6,7,4,7,3,3,1,10,3,2,2,4,9,3,6,6,9,5,5,3,12,7,6,2,5,6,1,10,5,5,6,3,8,6,4,7,5,5,5,5,6,2,12,7,5,1,5,6,2,8,6,5,6,3,8,7,3,8,4,5,5,6,7,2,4,2,6,1,7,6,4,4,5,3,6,4,6,5,5,2,9,5,2,1,1,3,5,2,5,2,8,6,4,5,7,3,7,5,7,4,5,2,9,5,2,2,2,3,5,2,6,4,5,5,10,2,6,5,6,5,4,7,5,5,2,3,6,8,4,8,6,2,6,4,5,5,9,3,6,6,7,5,4,7,5,5,4,3,5,8,4,9,4,8,1,7,3,5,6,5,7,5,3,2,9,5,6,6,7,6,5,8,4,5,4,9,1,7,4,5,5,5,6,5,4,3,9,5,5,5,7,5,7,8,4,7,10,1,3,5,9,13,3,3,6,7,4,4,9,5,5,2,6,5,3,4,7,5,10,1,3,5,8,13,3,3,6,7,4,4,8,3,4,2,6,5,4,2,6,5,8,3,6,3,5,1,8,5,7,0,4,6,11,6,5,7,5,1,3,6,4,7,8,2,7,4,5,1,10,5,7,0,4,6,11,6,5,6,4,1,4,6,4,8,7,3,4,9,4,3,8,4,4,2,5,4,5,2,8,7,4,3,6,9,8,6,7,3,4,9,4,4,8,3,4,2,5,5,4,2,8,7,4,3,7,9,8,6,6,2,2,4,6,3,3,5,2,5,1,2,11,6,4,4,6,3,4,5,5,5,6,2,2,4,6,3,4,5,2,5,1,2,11,6,4,4,6,3,4,5,5,5,5,3,6,7,8,4,7,3,3,2,4,4,9,6,6,6,15,3,3,5,8,5,5,3,6,7,8,4,7,3,3,2,4,4,9,6,6,6,15,3,3,5,8,5,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,23,21,26,24,16,17,24,11,6,12,18,10,16,17,10,11,18,18,15,14,16,18,25,21,27,26,17,18,25,15,9,13,20,13,16,19,10,12,16,15,16,16,14,19,10,15,10,10,20,11,11,25,7,8,7,10,12,11,14,14,16,9,15,12,14,10,6,15,10,11,20,12,11,25,9,10,8,10,13,13,14,16,19,12,14,12,12,10,16,19,15,12,15,19,17,13,21,17,12,10,13,11,12,15,13,18,13,10,12,13,17,18,19,14,16,18,18,15,22,18,12,10,11,11,12,17,13,20,13,9,11,15,8,17,19,12,11,19,12,17,17,15,14,15,17,11,13,14,12,7,11,10,20,10,9,17,18,13,11,20,13,18,18,16,17,17,19,13,14,13,14,7,12,10,21,11,9,22,6,23,13,17,19,6,15,12,16,10,16,14,10,16,4,14,13,13,16,9,9,24,7,23,15,17,19,8,14,15,18,11,14,14,10,16,5,15,12,14,17,11,16,26,15,11,21,13,12,18,10,9,14,10,14,12,11,12,12,8,11,15,12,12,17,24,14,11,22,13,13,19,13,8,12,10,16,12,11,12,12,8,10,14,11,13,22,30,10,22,17,14,11,9,17,14,14,17,16,9,13,11,7,10,11,9,9,8,22,31,10,21,18,13,12,10,17,14,13,17,13,9,14,11,8,11,12,8,9,8,12,20,18,14,19,12,13,11,11,14,11,11,7,16,15,12,10,12,16,13,10,11,13,21,18,12,19,12,14,11,12,13,11,11,8,14,14,13,11,12,16,14,11,11,15,21,17,20,14,14,14,15,15,9,9,13,7,7,15,18,10,14,11,11,12,12,14,20,16,19,17,14,14,17,13,9,10,14,6,7,15,19,10,14,11,11,12,12,11,18,15,19,16,15,14,21,13,10,8,11,18,14,9,13,12,18,12,7,19,12,11,17,15,19,17,16,14,20,13,9,7,11,19,14,9,13,12,18,12,9,19,11,10,18,14,18,22,26,17,12,13,6,15,9,12,9,13,19,9,13,13,17,18,17,10,18,14,18,22,26,17,13,13,8,15,9,12,9,13,19,10,13,13,17,18,17,18,21,20,15,13,21,16,19,17,20,10,15,13,11,23,14,11,11,7,20,16,14,17,21,20,15,13,21,16,19,17,20,10,15,13,11,23,14,11,11,7,20,16,14,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,12,17,19,25,16,12,13,16,12,15,15,11,12,10,16,12,17,7,8,13,10,19,11,19,20,26,18,14,15,17,15,16,15,11,13,10,18,14,19,8,11,13,11,20,6,14,16,16,20,13,12,17,12,15,10,10,10,8,13,14,6,15,12,10,10,9,8,19,18,17,20,14,16,17,13,19,11,10,18,11,12,15,7,16,18,12,11,9,15,18,7,14,11,10,19,12,9,10,13,10,11,6,13,14,7,14,13,7,11,11,15,20,9,17,12,10,22,14,10,11,14,11,11,9,12,16,6,14,15,8,11,11,22,17,13,16,13,18,10,13,19,10,9,13,4,11,11,10,19,10,13,5,15,8,24,18,15,19,13,18,11,14,19,11,9,15,4,8,13,9,20,10,13,5,15,8,12,13,20,14,13,7,16,14,14,14,10,8,13,11,8,12,9,8,8,14,17,6,12,14,21,14,15,7,18,15,13,16,9,8,15,12,9,13,9,9,10,14,17,6,18,14,17,13,7,17,16,19,11,7,15,14,6,8,7,13,6,17,7,11,8,12,18,15,18,15,7,17,16,19,13,7,15,16,8,8,8,13,4,18,7,11,9,12,15,14,22,19,19,16,13,13,5,10,9,15,7,9,13,15,9,10,23,13,8,17,15,14,23,20,19,16,14,13,6,10,9,14,7,11,16,16,9,10,20,15,8,15,12,10,13,10,17,20,18,25,19,18,10,15,4,16,7,11,15,11,10,15,12,14,13,11,14,10,18,22,19,27,20,20,10,16,6,16,9,11,16,11,9,15,12,15,10,17,14,12,13,14,12,13,13,6,14,8,7,6,10,8,9,10,9,6,10,22,11,17,13,11,13,15,10,13,14,6,14,8,7,6,10,8,9,11,8,6,9,21,17,14,12,13,17,21,19,10,12,16,12,16,12,15,13,6,10,9,9,16,15,11,17,14,12,13,18,20,20,11,13,16,13,15,12,15,13,7,10,10,8,17,15,11,16,12,13,8,18,14,11,20,17,14,11,9,4,13,13,6,10,12,8,11,8,12,16,12,14,8,18,14,10,21,17,15,11,9,4,13,13,6,10,12,8,12,8,12,16,19,8,26,19,17,16,12,17,9,14,10,14,11,10,19,6,14,9,12,18,16,16,19,8,26,19,17,16,12,17,9,14,10,14,11,10,19,6,14,9,12,18,16,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,20,12,17,23,25,9,24,15,27,21,25,19,16,20,24,21,26,29,22,24,27,34,18,10,16,19,22,8,23,11,24,20,22,16,14,16,24,20,24,28,20,22,27,31,21,14,16,22,12,16,10,12,13,21,22,17,23,21,20,23,21,33,25,13,17,25,21,14,14,20,11,15,10,11,11,19,21,17,22,19,19,21,18,30,23,11,17,24,19,23,21,18,14,16,15,24,19,24,17,13,20,20,22,23,27,27,27,21,24,12,18,21,16,16,11,16,14,22,17,22,16,12,19,20,21,19,27,24,24,21,23,10,10,11,15,21,15,15,14,24,31,24,22,17,19,23,21,13,16,15,14,15,43,13,9,9,15,19,15,14,12,22,30,23,19,15,17,20,19,12,14,15,12,15,42,12,9,23,14,10,16,14,10,19,20,16,24,18,17,20,18,17,15,17,18,15,18,26,9,21,13,7,14,14,10,16,20,13,22,17,17,19,18,17,14,16,18,14,17,24,21,11,8,9,10,12,13,15,22,13,12,17,19,15,14,12,19,19,12,14,16,11,19,11,8,9,9,11,12,14,19,13,12,17,17,15,14,12,19,19,12,14,16,10,15,9,11,8,14,15,13,19,20,18,20,22,12,15,17,13,23,20,18,14,12,21,13,6,10,8,13,15,12,18,19,17,20,20,12,15,16,13,22,18,17,14,12,21,11,9,16,15,13,21,15,22,17,11,15,10,22,16,11,21,25,12,14,18,11,11,10,8,16,15,13,20,14,21,16,11,14,10,21,16,11,20,24,12,13,16,10,11,12,3,10,15,20,14,18,19,14,5,12,15,14,16,14,18,14,25,22,16,15,14,12,3,10,15,17,14,18,17,14,5,11,14,14,16,14,17,14,25,22,16,14,14,13,17,13,9,18,11,15,9,19,17,17,18,18,16,16,10,17,22,31,23,16,12,13,17,12,9,17,10,15,9,19,17,17,18,17,15,16,10,17,22,31,21,16,12,9,9,8,17,14,13,16,12,15,19,17,18,12,24,16,23,17,26,15,23,27,27,9,9,8,17,14,13,16,11,15,17,17,18,12,24,16,23,16,26,15,23,27,27,13,16,14,16,18,14,14,11,16,13,16,15,22,22,15,17,25,22,21,25,30,23,13,16,14,16,18,14,14,11,16,13,16,15,22,22,15,17,25,22,21,25,30,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,26,35,29,29,31,29,31,38,24,38,37,25,33,30,44,38,32,55,38,28,31,38,26,31,27,26,28,27,28,36,21,37,35,25,31,28,42,36,30,52,35,26,30,36,27,32,15,23,30,22,28,32,38,30,36,19,38,42,35,31,21,33,37,22,24,34,25,27,13,22,29,21,24,30,37,26,35,18,30,39,34,30,20,31,31,20,23,33,30,36,37,25,27,26,25,33,41,23,39,29,40,55,32,29,22,31,44,35,34,27,29,34,35,22,26,23,22,31,40,21,38,28,40,52,31,27,22,31,41,33,34,26,16,22,27,41,20,34,23,24,24,38,31,26,32,37,29,34,30,27,31,24,45,22,13,21,25,38,20,33,21,23,23,37,31,24,32,37,27,34,29,27,31,23,44,22,26,21,28,23,30,22,25,28,27,29,22,26,34,31,27,36,38,30,21,30,37,32,25,20,27,22,27,22,23,26,26,27,22,25,31,30,26,35,38,29,19,29,36,32,24,25,21,24,24,21,28,25,26,35,19,32,26,25,24,21,13,30,22,21,22,26,23,24,20,22,24,21,28,24,24,34,18,30,24,25,23,21,13,28,22,21,21,25,23,23,17,26,33,21,20,29,22,24,27,22,19,34,24,33,23,29,29,27,19,32,23,22,16,25,32,21,19,29,21,23,26,22,19,32,21,32,23,29,29,25,19,32,23,22,21,28,25,27,24,30,28,25,29,18,31,29,30,21,31,26,30,30,21,32,22,21,20,28,24,24,23,27,27,23,29,17,29,29,28,21,30,26,30,30,21,31,19,24,29,21,17,26,30,18,34,27,31,30,25,23,25,32,26,20,22,22,24,25,18,24,29,21,17,25,30,18,33,27,31,30,25,23,25,32,26,19,22,22,24,25,18,18,21,36,27,34,33,28,42,22,27,37,33,20,38,19,13,36,34,23,32,29,18,18,21,36,26,34,32,27,41,22,26,37,33,20,38,18,13,35,34,22,32,29,26,23,33,24,28,23,26,26,29,23,18,21,23,24,24,25,35,29,18,24,30,28,26,23,32,24,28,23,26,25,29,22,18,21,23,24,24,25,35,29,18,23,30,28,28,13,22,22,36,24,26,25,33,20,42,31,22,39,29,32,36,35,33,31,52,28,28,13,22,22,36,24,26,25,33,20,42,31,22,39,29,32,36,35,33,31,52,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,53,52,61,61,50,37,59,39,50,43,57,45,46,58,50,41,59,58,52,48,54,70,53,52,61,61,50,37,59,39,50,43,57,45,46,58,50,41,59,58,52,48,54,70,42,42,39,43,45,42,33,46,32,41,41,35,38,43,47,52,50,51,55,41,48,42,42,42,39,43,45,42,33,46,32,41,41,35,38,43,47,52,50,51,55,41,48,42,48,59,50,42,42,50,50,51,49,56,40,33,52,45,51,48,52,58,56,45,52,41,48,59,50,42,42,50,50,51,49,56,40,33,52,45,51,48,52,58,56,45,52,41,32,53,43,47,36,54,40,53,56,51,45,44,49,45,46,39,44,37,39,36,77,35,32,53,43,47,36,54,40,53,56,51,45,44,49,45,46,39,44,37,39,36,77,35,32,61,34,41,52,38,44,43,54,42,53,39,50,51,38,42,31,44,49,34,49,41,32,61,34,41,52,38,44,43,54,42,53,39,50,51,38,42,31,44,49,34,49,41,52,53,36,34,45,34,34,51,50,35,41,41,42,36,35,36,40,37,39,36,36,32,52,53,36,34,45,34,34,51,50,35,41,41,42,36,35,36,40,37,39,36,36,32,48,55,33,40,46,41,36,43,48,39,46,51,39,39,43,33,44,38,35,42,36,37,48,55,33,40,46,41,36,43,48,39,46,51,39,39,43,33,44,38,35,42,36,37,33,42,55,35,51,49,39,44,35,43,46,35,42,45,39,47,44,38,39,50,32,29,33,42,55,35,51,49,39,44,35,43,46,35,42,45,39,47,44,38,39,50,32,29,36,41,46,44,48,44,44,44,41,27,31,45,31,29,44,50,36,47,48,36,37,39,36,41,46,44,48,44,44,44,41,27,31,45,31,29,44,50,36,47,48,36,37,39,42,50,41,44,53,43,48,44,49,41,36,44,45,41,39,33,41,52,55,38,50,41,42,50,41,44,53,43,48,44,49,41,36,44,45,41,39,33,41,52,55,38,50,41,33,37,36,52,48,54,46,41,40,47,44,41,39,45,44,59,43,52,34,49,52,63,33,37,36,52,48,54,46,41,40,47,44,41,39,45,44,59,43,52,34,49,52,63,51,47,53,46,48,53,43,46,48,47,44,44,53,44,56,41,51,47,41,58,63,57,51,47,53,46,48,53,43,46,48,47,44,44,53,44,56,41,51,47,41,58,63,57,3,0,2,1,3,0,0,1,0,1,0,0,0,0,0,1,4,3,3,1,1,0,3,0,2,1,3,0,0,1,0,1,0,0,0,0,0,1,4,3,3,1,1,0,46,61,57,62,53,53,50,61,45,59,59,46,59,50,68,62,56,73,55,52,50,64,46,61,57,62,53,53,50,61,45,59,59,46,59,50,68,62,56,73,55,52,50,64,43,60,40,48,63,49,54,58,63,56,63,40,60,56,55,54,37,55,58,42,47,50,43,60,40,48,63,49,54,58,63,56,63,40,60,56,55,54,37,55,58,42,47,50,57,68,55,52,45,49,49,51,56,43,60,45,57,69,56,52,37,54,71,51,55,48,57,68,55,52,45,49,49,51,56,43,60,45,57,69,56,52,37,54,71,51,55,48,57,50,52,60,40,62,38,49,52,58,51,45,49,58,51,54,56,45,52,35,71,36,57,50,52,60,40,62,38,49,52,58,51,45,49,58,51,54,56,45,52,35,71,36,51,40,59,42,58,39,55,48,53,50,44,42,57,50,42,52,59,47,33,47,59,45,51,40,59,42,58,39,55,48,53,50,44,42,57,50,42,52,59,47,33,47,59,45,49,45,55,48,41,50,58,48,49,50,48,53,40,43,40,43,29,55,38,42,34,48,49,45,55,48,41,50,58,48,49,50,48,53,40,43,40,43,29,55,38,42,34,48,49,47,45,55,62,48,48,52,40,40,43,43,35,56,53,55,40,45,59,52,35,58,49,47,45,55,62,48,48,52,40,40,43,43,35,56,53,55,40,45,59,52,35,58,52,36,40,47,58,65,53,64,57,53,46,47,47,53,46,36,57,44,47,55,43,52,52,36,40,47,58,65,53,64,57,53,46,47,47,53,46,36,57,44,47,55,43,52,40,44,52,46,36,49,52,42,57,36,51,47,49,40,44,47,42,33,38,40,40,55,40,44,52,46,36,49,52,42,57,36,51,47,49,40,44,47,42,33,38,40,40,55,47,40,43,58,56,66,68,47,63,45,46,58,55,42,65,36,27,52,50,51,59,49,47,40,43,58,56,66,68,47,63,45,46,58,55,42,65,36,27,52,50,51,59,49,49,42,52,37,59,46,43,55,53,44,34,35,43,45,47,40,54,46,35,41,45,47,49,42,52,37,59,46,43,55,53,44,34,35,43,45,47,40,54,46,35,41,45,47,53,40,47,62,69,50,60,45,56,39,64,48,49,64,48,61,59,57,48,54,81,55,53,40,47,62,69,50,60,45,56,39,64,48,49,64,48,61,59,57,48,54,81,55,4,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,2,2,2,0,0,4,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,2,2,1,1,1,1,2,1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,2,2,0,1,2,1,2,1,0,1,1,0,0,0,0,0,0,3,1,0,0,0,0,1,2,1,0,0,1,1,0,1,3,0,0,0,0,0,0,3,1,0,0,0,0,1,2,1,0,0,1,1,0,1,3,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,2,1,1,1,1,6,1,0,0,0,1,0,2,1,0,1,1,0,0,0,1,0,2,1,1,1,1,6,2,1,0,0,0,0,1,2,0,1,0,2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,0,1,0,2,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,2,2,0,0,0,1,2,1,0,1,0,2,0,0,3,0,2,1,0,0,0,0,2,2,1,0,0,1,2,1,0,1,0,2,0,0,3,0,2,1,3,0,0,0,2,0,1,0,0,0,0,0,0,1,3,2,0,1,0,0,0,1,3,0,0,0,2,0,1,0,0,0,2,0,0,1,3,2,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,1,1,3,0,1,1,1,0,1,0,1,1,0,0,1,0,2,1,0,1,0,0,1,1,3,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,2,2,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,4,2,2,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,4,0,0,0,0,0,0,2,2,0,2,0,1,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,2,0,2,0,1,2,1,0,0,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,0,2,1,0,0,2,0,0,1,0,0,0,0,0,1,0,2,1,0,1,0,1,0,2,1,0,0,1,0,2,0,1,2,1,0,1,0,2,4,0,1,1,0,2,0,2,1,2,0,1,0,2,0,1,2,1,0,1,0,2,4,0,1,1,0,2,0,2,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,2,0,0,1,0,1,1,1,0,1,0,2,1,0,1,0,0,0,1,0,0,1,2,0,0,1,0,1,1,1,0,1,0,2,1,0,1,0,0,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,1,2,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,2,1,1,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,2,2,0,0,2,0,1,4,0,0,1,1,1,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,1,4,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1,2,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,1,1,2,0,0,0,1,0,1,0,0,1,1,0,1,0,2,0,0,0,0,0,1,1,2,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,1,1,0,0,0,0,0,1,1,2,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,2,0,1,0,3,2,0,1,0,0,1,0,0,0,1,0,2,0,0,0,0,1,2,0,1,0,3,0,1,0,0,1,2,0,0,0,1,1,2,0,0,0,0,3,0,0,1,1,1,0,1,0,0,2,2,0,0,0,1,1,2,0,0,0,0,3,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,1,0,1,2,1,0,2,0,1,0,1,1,3,0,0,1,1,2,1,0,0,0,1,0,1,2,1,0,2,0,1,1,1,1,3,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,1,0,1,2,1,2,3,0,0,1,0,2,0,0,0,0,0,0,1,1,0,1,1,0,1,2,1,2,3,0,1,0,0,1,1,2,1,0,1,1,0,0,2,0,2,1,2,2,2,3,0,0,1,0,0,1,1,2,1,0,1,1,0,0,3,0,3,0,2,2,2,3,0,0,1,1,0,2,0,1,1,0,0,0,0,0,1,0,2,1,2,0,0,0,1,0,1,1,0,2,0,0,1,0,0,0,0,0,1,0,2,2,2,0,1,0,1,0,0,2,0,0,0,1,0,1,1,3,0,3,0,0,0,3,1,0,1,1,2,0,0,2,0,0,0,1,0,1,1,1,0,3,0,0,0,3,1,0,1,1,2,0,1,0,1,0,0,2,2,0,1,0,0,0,1,0,2,1,1,0,2,1,1,0,1,0,1,0,0,2,2,0,1,0,0,0,2,0,2,1,1,0,2,1,1,0,0,0,0,2,0,0,0,0,0,1,1,1,2,1,0,3,0,2,3,2,2,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,2,0,2,3,2,2,0,0,2,0,0,0,0,0,1,3,0,0,1,0,1,1,1,3,2,0,0,1,0,0,2,0,0,0,0,0,1,3,0,0,1,0,1,1,1,3,2,0,0,1,0,1,0,0,0,1,1,0,2,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,2,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,2,1,0,3,1,0,0,0,0,1,4,0,1,0,0,2,0,1,0,0,0,1,2,1,0,3,1,0,0,0,0,1,5,0,1,0,0,2,0,0,0,2,1,2,0,0,0,0,0,0,3,1,2,1,1,0,2,1,0,1,0,0,0,2,1,2,0,0,0,0,0,0,3,1,2,1,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,2,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,2,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,2,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,2,1,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,2,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,2,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,3,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,3,0,0,1,1,0,1,2,2,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,2,2,0,1,1,0,1,0,1,1,3,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,1,2,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,2,0,0,1,0,0,1,1,0,0,0,0,2,0,0,1,2,1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,2,1,0,3,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,2,3,1,0,1,0,1,1,0,1,0,0,2,0,0,2,1,0,0,0,0,0,2,3,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,2,1,1,1,0,0,0,1,1,0,0,1,2,1,1,0,0,1,0,1,0,0,2,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,1,1,2,0,1,1,0,1,0,1,0,0,0,0,0,0,1,1,2,0,1,0,1,1,2,1,1,1,1,1,1,3,1,0,1,2,0,1,0,0,0,0,1,1,1,3,1,1,1,1,1,1,1,3,1,0,1,2,0,1,0,0,0,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,2,1,0,2,1,2,0,3,0,1,2,3,0,1,2,2,0,6,0,2,0,4,3,1,0,2,1,2,0,3,0,1,2,2,1,1,1,2,0,6,1,0,1,2,0,1,1,1,0,2,0,0,0,0,4,2,1,1,2,1,2,0,2,0,2,2,0,1,1,2,0,2,0,0,0,0,3,2,1,1,2,1,3,0,1,0,0,3,1,2,1,0,1,2,0,1,2,0,1,2,5,1,2,0,0,2,1,0,0,3,1,2,1,0,1,2,0,1,2,0,1,2,5,1,3,0,0,1,0,0,0,2,2,0,0,1,0,1,1,0,1,2,1,1,2,1,2,0,2,3,0,0,0,2,2,0,0,1,0,1,1,0,1,1,2,1,2,1,2,0,2,3,0,0,0,1,2,1,3,0,2,1,2,0,1,0,0,0,1,2,0,2,2,2,0,0,0,1,2,1,3,0,2,1,2,0,1,0,0,0,0,2,0,1,2,2,1,0,1,1,0,1,1,0,1,1,1,0,1,2,1,2,1,0,1,2,2,2,1,0,1,1,0,1,1,0,1,1,1,0,1,3,1,2,1,0,1,2,2,2,0,0,0,0,0,1,0,2,1,1,2,1,3,3,1,1,0,0,0,1,2,2,0,0,0,0,0,1,0,2,1,2,2,1,3,2,1,1,1,0,0,1,2,2,0,1,0,1,0,1,1,1,2,0,1,1,1,2,0,1,1,0,1,2,2,4,0,1,0,1,0,1,1,1,2,1,1,1,1,2,0,1,1,0,1,2,2,4,0,2,0,0,1,0,1,1,1,0,3,1,0,1,1,0,2,1,1,1,0,1,0,2,0,0,1,0,1,1,1,0,3,1,0,1,1,0,2,1,1,1,0,1,0,0,3,0,1,0,0,1,1,2,1,1,1,0,4,1,1,5,3,3,2,4,0,0,3,0,1,0,0,1,1,2,1,1,1,0,4,1,1,5,3,3,2,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,5,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,4,1,0,0,1,1,2,0,0,0,0,2,3,0,1,1,2,3,2,2,1,0,1,1,2,3,2,5,0,0,0,0,0,2,3,0,1,1,2,3,2,2,1,0,1,1,2,3,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,3,1,0,0,0,2,1,1,3,1,0,1,0,2,1,1,2,1,1,0,0,0,3,1,0,0,0,1,1,1,3,1,0,1,0,3,1,2,0,1,0,1,0,2,1,0,0,2,0,1,0,0,1,0,1,3,1,1,2,2,0,1,0,1,0,2,1,1,0,2,0,1,0,0,1,2,1,3,2,1,2,2,1,2,2,1,0,2,1,3,0,2,1,0,0,1,4,0,1,0,3,0,0,2,1,2,2,1,0,2,1,3,1,2,1,0,1,2,4,1,1,0,3,0,0,2,0,0,1,1,2,1,2,1,1,1,0,1,1,0,1,0,0,0,0,0,4,2,0,0,1,1,2,1,2,0,0,1,0,1,1,0,1,1,0,0,0,1,5,2,1,0,3,0,2,0,2,0,0,1,1,1,0,1,0,1,0,2,0,0,1,1,1,0,3,0,2,0,2,1,0,1,1,1,0,1,0,3,0,2,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,3,3,0,1,2,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,3,1,0,1,2,1,1,0,1,0,1,0,1,0,1,1,1,2,2,2,0,0,0,1,1,0,0,2,0,1,0,1,1,0,1,0,1,1,1,2,2,2,0,0,0,3,1,0,0,2,0,1,0,1,0,0,1,1,0,2,3,0,1,1,2,1,1,2,0,1,1,1,1,0,1,1,0,0,1,1,0,2,3,0,1,1,2,1,1,2,0,2,1,1,2,0,1,1,0,0,1,0,0,1,2,0,0,1,0,0,0,2,0,1,1,1,2,1,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,2,0,1,1,1,2,1,0,0,0,2,0,0,4,0,3,2,1,0,1,2,3,1,0,0,0,1,1,1,1,1,0,2,0,0,4,0,3,2,1,0,1,2,3,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,2,2,0,2,0,2,1,2,0,1,0,2,2,2,0,1,0,0,0,1,1,0,2,2,0,2,0,2,1,2,0,1,0,2,2,2,4,0,1,4,1,0,0,2,0,2,2,1,1,0,2,2,2,3,2,0,1,1,4,0,1,4,1,0,0,2,0,2,2,1,1,0,2,2,2,3,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,2,1,0,0,1,0,1,1,0,1,3,1,0,1,2,2,0,0,0,0,3,0,2,1,0,0,1,0,1,1,0,1,2,1,0,1,2,2,2,1,1,0,1,0,0,3,0,0,1,1,3,0,2,1,0,0,2,1,1,1,1,1,0,0,1,0,0,2,0,0,1,1,3,0,2,1,0,0,2,1,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,3,1,1,1,2,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,2,1,1,1,0,2,1,0,1,0,0,1,0,0,1,2,0,1,2,1,2,0,1,1,2,0,0,2,1,0,1,0,0,1,0,0,1,2,0,1,1,0,2,0,1,1,2,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,1,0,0,0,1,0,5,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,1,0,0,0,1,0,5,0,1,0,0,1,0,0,1,0,0,0,1,2,0,2,1,2,1,0,0,0,2,2,1,0,0,1,0,0,1,0,0,0,1,2,0,1,1,2,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,1,1,3,0,0,2,3,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,2,3,1,0,1,1,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,3,0,1,1,1,2,2,0,3,0,1,0,0,2,1,0,0,0,0,0,1,1,3,0,1,1,1,2,2,0,3,1,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,1,0,2,2,3,1,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,1,0,2,2,3,0,0,1,1,2,0,1,1,3,0,1,0,2,0,1,1,2,0,0,2,1,3,0,0,1,1,2,0,1,1,3,0,1,0,2,0,1,1,2,0,0,2,1,3,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,3,2,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,1,3,2,2,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,2,2,0,1,1,1,3,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,2,2,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,0,2,0,0,1,3,0,1,4,2,2,1,4,2,3,0,0,1,2,1,0,1,0,2,0,0,1,3,0,1,4,2,2,1,3,2,2,1,0,1,1,1,1,1,3,1,3,0,0,1,1,0,5,1,1,4,1,3,2,1,0,1,1,1,1,1,2,1,3,0,0,1,1,0,3,1,1,3,1,3,2,0,1,2,1,0,1,0,1,2,1,3,3,5,1,0,5,1,2,2,2,3,1,0,1,2,1,0,1,0,1,1,1,3,3,4,0,0,4,1,2,1,2,3,1,0,0,2,0,0,1,1,0,0,0,1,0,1,2,0,3,1,4,1,3,3,2,0,0,2,0,0,1,1,0,0,0,1,0,1,2,0,2,1,4,1,2,2,2,1,0,0,0,2,0,1,2,0,3,3,1,2,0,0,4,3,0,1,1,1,5,1,0,0,0,2,0,1,1,0,3,3,1,2,0,0,2,3,0,1,1,1,5,0,0,2,1,0,0,2,2,1,1,1,2,1,1,0,4,1,2,2,1,3,1,0,0,2,1,0,0,2,2,1,1,1,2,1,1,0,4,1,2,2,1,3,1,0,0,1,1,1,1,1,0,1,2,2,0,0,3,1,2,1,2,3,1,1,0,0,0,1,1,1,1,1,0,1,2,2,0,0,1,1,2,1,2,3,1,1,0,0,0,0,0,1,1,1,1,1,2,3,0,1,1,0,2,2,0,3,2,1,3,0,0,0,0,1,1,1,1,1,2,3,0,1,1,0,1,2,0,2,2,1,3,0,0,2,0,1,0,3,1,0,1,1,3,1,1,0,0,1,0,3,2,4,2,0,0,2,0,1,0,3,1,0,0,1,3,1,1,0,0,1,0,3,2,4,2,1,1,0,1,1,1,1,0,3,0,0,1,2,3,2,2,2,1,2,1,2,1,1,0,0,1,1,1,1,0,3,0,0,1,2,3,2,2,2,1,2,1,2,1,1,1,2,1,0,1,2,2,0,2,2,2,2,1,1,3,2,1,2,3,4,3,1,1,2,1,0,1,2,2,0,2,2,2,2,1,1,3,2,1,2,3,4,3,1,0,0,1,0,0,0,2,2,1,3,1,2,2,1,2,2,1,1,0,4,4,1,0,0,1,0,0,0,2,2,1,3,1,2,2,1,2,2,1,1,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,6,9,2,4,4,2,4,1,6,6,5,3,8,4,5,3,5,4,12,0,2,2,6,9,2,4,4,2,4,1,6,6,5,3,8,4,5,3,5,4,12,5,1,2,2,1,1,5,7,0,2,1,1,4,2,7,3,3,2,6,2,6,4,5,1,2,2,1,1,5,7,0,2,1,1,4,2,7,3,3,2,6,2,6,4,4,0,1,4,3,5,2,1,4,4,1,3,3,1,2,6,7,5,8,3,9,7,4,0,1,4,3,5,2,1,4,4,1,3,3,1,2,6,7,5,8,3,9,7,1,3,1,2,4,2,4,3,1,2,5,2,2,6,3,4,7,3,5,3,9,4,1,3,1,2,4,2,4,3,1,2,5,2,2,6,3,4,7,3,5,3,9,4,0,1,1,1,6,3,6,2,3,3,6,4,3,4,1,4,2,4,4,2,9,6,0,1,1,1,6,3,6,2,3,3,6,4,3,4,1,4,2,4,4,2,9,6,5,0,3,2,2,2,4,0,2,2,5,2,4,5,5,6,5,3,1,3,5,7,5,0,3,2,2,2,4,0,2,2,5,2,4,5,5,6,5,3,1,3,5,7,1,2,2,2,0,2,3,4,1,4,3,6,4,4,5,7,3,3,3,7,3,4,1,2,2,2,0,2,3,4,1,4,3,6,4,4,5,7,3,3,3,7,3,4,0,2,0,2,5,2,2,2,2,2,2,4,4,7,1,2,5,2,5,7,5,13,0,2,0,2,5,2,2,2,2,2,2,4,4,7,1,2,5,2,5,7,5,13,3,4,3,1,2,1,1,1,2,3,4,3,2,1,4,2,3,6,3,3,3,9,3,4,3,1,2,1,1,1,2,3,4,3,2,1,4,2,3,6,3,3,3,9,0,1,4,1,4,1,4,4,6,5,3,2,6,2,5,2,4,6,5,5,3,10,0,1,4,1,4,1,4,4,6,5,3,2,6,2,5,2,4,6,5,5,3,10,3,0,0,1,3,2,2,0,3,3,0,2,2,0,6,10,3,5,4,4,3,4,3,0,0,1,3,2,2,0,3,3,0,2,2,0,6,10,3,5,4,4,3,4,1,1,4,1,6,7,1,1,2,2,5,10,3,4,4,4,4,5,8,4,11,3,1,1,4,1,6,7,1,1,2,2,5,10,3,4,4,4,4,5,8,4,11,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,4,3,1,0,5,2,3,1,1,4,5,2,4,7,3,4,2,9,5,5,2,1,4,3,1,0,5,2,3,1,1,4,5,2,4,7,3,4,2,9,5,5,1,1,2,3,2,5,4,3,1,7,0,2,2,3,2,6,3,6,7,4,7,4,1,1,2,3,2,5,4,3,1,7,0,2,2,3,2,6,3,6,7,4,7,4,3,3,5,2,3,4,2,5,3,4,5,3,5,3,4,5,3,4,5,3,3,3,3,3,5,2,3,4,2,5,3,4,5,3,5,3,4,5,3,4,5,3,3,3,1,2,4,2,2,2,4,1,1,2,1,2,3,3,3,4,2,6,2,3,8,4,1,2,4,2,2,2,4,1,1,2,1,2,3,3,3,4,2,6,2,3,8,4,3,2,5,1,4,3,4,3,4,4,4,3,3,2,0,7,3,2,4,1,3,7,3,2,5,1,4,3,4,3,4,4,4,3,3,2,0,7,3,2,4,1,3,7,2,0,3,3,3,1,3,5,3,3,2,3,5,6,1,6,3,4,4,4,4,2,2,0,3,3,3,1,3,5,3,3,2,3,5,6,1,6,3,4,4,4,4,2,1,0,4,1,2,4,3,5,3,4,4,1,0,6,4,2,2,6,3,3,2,5,1,0,4,1,2,4,3,5,3,4,4,1,0,6,4,2,2,6,3,3,2,5,0,0,1,1,3,4,5,4,4,5,5,5,3,4,1,5,3,1,4,3,3,5,0,0,1,1,3,4,5,4,4,5,5,5,3,4,1,5,3,1,4,3,3,5,2,0,6,0,1,3,6,1,0,3,1,5,3,6,1,1,4,3,6,5,5,6,2,0,6,0,1,3,6,1,0,3,1,5,3,6,1,1,4,3,6,5,5,6,2,5,1,2,7,3,5,3,5,1,2,7,6,5,3,2,5,2,4,4,4,3,2,5,1,2,7,3,5,3,5,1,2,7,6,5,3,2,5,2,4,4,4,3,1,3,3,1,1,2,5,2,2,5,4,4,2,4,3,7,2,4,2,7,7,7,1,3,3,1,1,2,5,2,2,5,4,4,2,4,3,7,2,4,2,7,7,7,7,1,2,7,3,1,3,5,2,4,8,3,5,2,4,4,5,6,5,2,9,7,7,1,2,7,3,1,3,5,2,4,8,3,5,2,4,4,5,6,5,2,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,0,2,0,2,2,0,1,0,1,0,0,1,3,1,1,0,0,0,2,1,1,1,0,2,0,2,2,0,1,0,1,0,0,1,3,1,1,0,0,0,0,0,0,0,2,2,1,2,1,1,1,3,0,0,0,0,1,3,2,0,0,0,0,0,0,0,2,2,1,2,1,2,1,3,0,0,0,0,1,3,2,0,0,5,2,0,0,0,0,1,2,1,1,0,0,1,2,2,0,0,1,0,0,0,2,5,2,0,0,0,0,1,2,1,1,0,0,1,2,2,0,0,1,0,0,0,2,1,2,2,0,0,1,2,1,1,1,0,1,3,2,2,2,1,0,1,0,1,1,1,2,2,0,0,1,2,1,1,1,0,1,3,2,2,2,1,0,1,0,1,2,0,0,2,2,0,0,1,1,1,0,1,1,2,1,2,0,1,0,0,1,2,2,0,0,2,2,0,0,1,1,1,0,1,1,2,1,2,0,1,0,0,1,2,2,2,0,2,1,0,1,1,0,1,0,1,3,1,2,0,1,0,2,0,0,0,1,2,0,2,1,0,1,1,0,1,0,1,3,1,2,0,1,0,2,0,0,0,1,1,0,0,2,1,0,0,4,0,3,4,0,1,0,0,0,0,2,2,1,2,2,1,0,0,2,1,0,0,4,0,3,4,0,1,0,0,0,0,2,2,1,2,2,0,1,0,0,1,0,1,1,1,1,1,0,0,2,2,0,0,3,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,2,2,1,0,3,1,1,1,1,0,2,2,1,0,1,0,1,2,1,2,1,0,1,2,3,0,1,1,0,0,1,0,2,2,1,0,1,0,1,2,1,2,1,0,1,2,3,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,3,2,0,0,2,1,0,1,0,1,1,0,0,0,0,0,1,1,0,2,0,0,3,2,0,0,2,1,0,1,0,0,2,1,0,1,1,0,0,0,3,1,1,1,1,1,1,2,0,0,2,3,0,0,2,1,0,1,1,0,0,0,3,1,1,1,1,1,1,2,0,0,2,3,1,0,0,1,0,5,0,0,1,2,0,2,0,1,1,1,0,0,1,1,2,1,1,0,0,1,0,5,0,0,1,2,0,2,0,1,1,1,0,0,1,1,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,2,2,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,2,1,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,1,0,0,2,1,0,0,0,1,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,2,2,0,1,1,1,3,1,0,1,1,1,0,1,2,1,0,0,1,1,0,1,2,2,0,1,1,1,3,1,0,1,1,1,0,1,2,1,0,0,0,0,5,0,1,0,0,2,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,5,0,1,0,0,2,0,0,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,3,1,0,0,0,1,2,1,0,0,2,1,0,1,0,0,0,2,0,0,1,0,3,1,0,0,0,1,2,1,0,0,2,1,0,1,0,0,0,2,0,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,1,1,1,1,0,2,0,2,3,0,0,0,0,2,1,0,2,0,0,1,0,0,1,1,1,1,0,2,0,2,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,9,6,7,8,9,2,6,10,4,8,6,8,6,6,7,4,4,4,7,4,9,7,10,6,9,8,10,3,6,10,5,8,8,9,7,7,7,5,5,5,7,4,11,13,8,3,5,5,6,10,4,4,5,3,6,4,9,3,3,6,4,5,2,4,4,15,8,3,5,6,6,10,4,4,6,2,6,4,9,3,4,7,5,5,2,4,4,8,14,4,10,10,10,7,3,7,9,9,2,12,6,13,2,7,13,5,6,5,4,8,15,4,11,11,12,7,3,9,9,10,2,12,6,15,3,7,13,5,6,6,5,13,8,11,5,5,9,4,3,9,7,3,7,2,4,5,5,6,4,2,8,4,5,13,8,11,6,6,9,4,3,9,7,4,7,3,4,5,6,6,4,4,9,4,5,8,10,3,11,11,7,2,12,2,6,6,4,10,9,8,9,10,4,5,1,6,5,9,11,4,11,12,7,3,12,2,7,6,4,12,9,8,10,11,4,5,1,6,5,5,3,7,9,6,5,6,9,4,2,7,6,7,5,2,5,8,8,5,7,4,3,5,5,7,10,6,5,6,9,5,2,8,6,8,6,2,6,8,8,6,7,4,3,5,5,8,8,7,5,4,4,5,7,9,5,6,9,4,7,3,6,2,5,3,5,5,5,8,9,7,5,4,7,5,7,9,5,6,11,4,7,3,6,3,6,3,5,6,4,8,10,12,5,8,9,5,3,4,6,6,10,4,9,4,1,4,5,4,5,6,4,9,10,12,6,8,10,5,3,4,6,6,10,4,8,4,1,4,5,4,6,9,9,9,6,4,6,6,5,3,2,5,3,1,7,6,6,3,9,3,8,4,7,9,9,9,6,4,6,6,5,3,2,5,3,1,7,6,6,3,9,3,8,5,7,11,10,9,10,11,9,10,9,9,3,8,14,6,2,7,4,8,4,8,6,6,2,11,10,9,10,11,9,10,9,9,3,8,14,6,2,7,4,8,4,8,6,6,2,3,6,6,10,12,7,3,7,8,8,4,7,7,9,6,5,5,3,3,7,7,6,3,6,6,10,12,7,3,7,8,9,4,7,8,9,6,5,5,3,3,7,7,6,7,5,6,7,9,7,7,5,9,2,11,9,5,4,3,4,6,7,7,8,6,5,7,5,6,7,9,7,7,5,9,2,11,9,5,5,3,4,6,7,7,8,6,5,1,1,1,2,6,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,0,1,1,1,1,1,7,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,1,1,8,4,3,2,5,2,4,9,9,10,3,3,3,5,3,4,1,3,4,0,5,4,9,6,3,2,5,2,5,9,9,11,5,4,4,5,3,6,1,3,4,1,5,4,2,6,7,3,2,4,5,2,6,7,3,2,1,3,2,2,4,2,3,1,5,6,2,7,7,5,4,4,5,3,7,7,5,2,1,3,3,2,4,2,4,1,6,6,8,4,6,6,8,6,5,4,4,1,2,2,4,7,2,9,3,3,5,2,2,6,9,4,6,7,10,6,6,5,6,1,4,2,4,7,3,9,3,3,5,2,2,6,2,6,2,8,5,9,4,9,6,6,5,3,2,2,5,2,2,3,1,2,4,1,2,6,2,8,5,9,4,10,7,6,5,4,3,2,5,2,2,3,1,2,4,1,4,3,6,9,3,7,7,5,4,3,9,6,5,3,5,2,5,2,3,6,1,6,4,3,6,9,3,8,7,5,4,3,9,6,5,3,6,2,6,2,3,6,1,7,4,7,2,3,9,7,5,4,5,6,4,2,7,6,2,2,3,6,6,7,1,5,4,8,2,3,10,7,5,4,5,6,4,3,7,6,2,2,3,6,6,7,1,7,5,6,1,8,5,5,2,6,4,6,6,0,4,7,4,1,6,4,3,3,5,6,5,6,1,8,5,6,2,6,4,6,7,0,4,7,4,1,6,4,4,3,5,6,5,8,5,5,3,3,6,6,6,3,5,2,4,4,2,6,1,2,4,2,5,2,5,8,5,5,3,3,8,6,6,3,5,2,4,4,2,7,1,2,4,2,5,2,6,2,3,5,4,8,4,8,2,5,3,8,4,2,4,3,1,2,2,3,1,8,6,2,3,5,4,8,4,9,3,5,3,8,4,2,4,4,1,2,2,3,2,9,8,6,1,5,9,5,2,3,3,6,3,4,3,9,1,5,6,5,7,5,1,1,8,6,1,5,9,5,2,3,4,6,3,5,3,9,1,5,6,5,8,5,2,1,3,8,6,5,4,3,4,4,5,7,4,4,2,6,2,1,4,4,6,3,1,3,3,8,6,5,4,3,4,4,5,7,4,4,2,6,3,1,5,4,6,3,1,3,4,8,3,5,7,7,5,6,5,7,6,3,5,5,6,4,3,5,5,4,7,4,4,8,3,5,7,7,5,6,5,7,6,3,5,5,6,4,3,5,5,4,7,4,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,10,8,8,10,2,5,1,9,4,11,6,10,8,10,11,5,9,8,12,7,8,11,10,10,9,10,2,6,1,11,6,10,7,10,8,9,11,6,12,10,15,7,9,12,9,5,10,13,6,8,9,3,9,6,8,11,11,6,7,11,10,8,6,8,5,9,10,5,10,14,5,11,10,4,10,5,10,13,12,7,7,11,9,10,7,9,5,10,9,8,10,6,7,11,11,10,11,8,13,6,3,5,11,13,11,11,7,7,11,10,10,7,11,6,6,9,12,11,9,9,13,6,8,7,9,12,11,12,8,8,11,11,6,3,9,4,8,11,12,16,5,4,6,10,10,9,12,11,10,10,10,12,14,9,7,4,9,4,8,11,13,16,6,5,7,10,9,10,12,12,12,11,9,12,15,10,9,15,8,5,7,8,8,10,8,9,14,9,8,6,10,16,12,9,12,3,10,5,10,15,9,5,8,8,8,10,8,8,14,9,6,7,10,17,11,10,12,3,11,5,15,8,12,6,5,6,6,5,7,9,10,11,7,6,4,10,9,18,7,6,8,5,15,6,12,7,5,6,7,5,8,9,9,11,6,5,5,10,9,19,6,8,10,5,10,13,9,6,5,6,6,11,12,7,5,7,4,14,4,12,8,6,11,5,8,7,10,15,9,6,7,6,7,8,12,8,5,7,4,13,5,12,8,6,11,4,9,8,7,8,15,6,10,8,3,7,11,12,7,6,9,7,8,11,6,11,6,3,7,12,7,8,15,6,10,7,3,6,11,13,7,6,9,7,8,11,6,11,6,3,7,12,7,12,12,4,3,8,7,8,5,10,8,7,5,9,14,11,7,7,15,4,8,4,8,12,13,4,3,8,7,8,5,10,8,7,5,10,14,11,8,7,15,4,10,5,9,10,6,9,8,6,11,11,12,11,7,18,4,10,11,7,10,6,11,10,7,7,9,10,6,9,8,6,12,11,12,11,7,18,6,11,11,7,10,7,11,10,9,7,13,9,12,13,4,4,7,10,12,14,12,3,5,3,5,9,9,9,11,7,5,4,13,9,12,13,4,4,7,10,12,13,12,3,4,3,5,9,9,9,11,7,5,4,12,10,10,7,3,7,8,6,14,11,12,8,8,7,13,8,15,12,13,7,9,14,12,10,10,7,3,7,8,6,15,11,12,8,8,6,14,8,15,12,13,7,9,14,0,3,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,4,2,0,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,10,8,7,3,10,6,10,3,2,9,12,8,6,10,3,10,3,5,4,8,5,4,9,7,8,3,11,7,11,4,2,8,10,10,5,11,5,8,3,7,4,8,8,5,7,5,7,7,7,4,10,5,5,7,6,7,6,9,4,2,7,2,9,10,7,3,9,4,8,5,5,5,10,4,5,8,5,8,6,9,3,3,7,3,8,10,7,5,7,7,5,6,8,2,4,4,13,2,9,5,10,6,7,2,7,8,11,3,6,9,6,8,6,5,7,6,3,4,11,2,7,6,10,6,8,2,7,8,12,6,7,10,2,5,3,3,3,5,5,5,5,4,7,8,11,15,7,8,9,10,5,10,12,9,5,6,4,3,4,6,5,5,4,5,7,8,10,15,7,8,9,13,7,12,13,10,1,3,5,6,2,6,6,5,5,9,3,9,7,4,7,7,7,6,4,6,6,5,2,3,5,7,2,5,7,6,5,9,4,9,7,4,6,7,6,6,4,7,7,4,6,5,1,7,5,7,9,4,5,8,5,10,8,5,8,13,7,5,5,5,7,7,7,6,2,7,4,8,10,4,6,10,5,10,8,6,9,14,7,5,6,7,8,6,8,3,8,4,4,11,5,7,5,7,2,6,5,13,7,6,7,6,3,5,5,3,9,3,8,4,4,11,5,10,5,7,1,6,5,13,7,8,7,8,2,5,5,3,8,7,4,3,4,7,10,5,10,7,4,4,5,7,5,5,10,9,5,4,4,5,8,7,6,4,4,9,8,5,10,8,3,4,5,8,5,5,10,9,7,5,6,5,3,3,5,5,2,6,6,8,13,3,3,4,2,4,6,7,9,5,4,8,14,6,3,3,5,5,4,6,6,7,12,3,3,4,2,4,6,7,9,6,4,8,13,5,4,6,7,8,7,2,2,0,3,5,3,6,8,5,7,7,5,7,12,1,3,3,4,6,7,8,7,2,2,0,2,5,3,5,8,5,8,7,5,7,11,1,2,4,2,5,6,7,7,8,7,7,4,7,5,4,2,9,4,5,9,7,5,4,6,3,2,5,6,7,7,8,7,7,4,8,5,4,2,9,3,5,8,7,5,4,6,3,10,9,5,6,2,9,7,8,3,5,9,8,6,7,7,11,7,3,8,7,7,5,10,10,5,6,2,9,7,8,3,5,9,8,6,7,7,11,7,3,8,7,7,5,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,3,0,1,16,27,15,21,15,16,20,20,22,21,16,20,15,14,11,11,16,13,16,6,12,23,17,27,18,21,17,17,24,21,24,23,19,19,16,15,10,13,16,12,13,7,12,22,16,17,12,17,19,21,16,16,13,14,11,15,14,14,7,20,7,14,16,11,19,19,14,17,14,16,21,20,16,15,13,18,11,14,14,14,7,21,9,12,16,10,19,21,20,25,19,27,17,23,20,17,13,14,17,13,14,17,14,11,16,11,15,11,23,21,22,26,18,26,18,27,20,18,14,13,17,16,9,17,16,11,18,11,14,11,23,23,17,14,16,21,16,20,11,12,13,14,15,11,7,9,15,11,14,12,8,8,25,20,18,13,16,22,16,21,10,14,13,13,13,11,7,10,16,11,12,14,9,9,26,18,11,22,19,14,20,17,19,21,10,12,14,12,8,18,16,17,11,10,9,8,18,10,11,22,18,14,19,18,19,22,11,12,15,15,8,17,18,17,12,9,10,9,18,10,10,11,24,15,13,15,19,14,8,10,12,8,18,7,13,12,13,14,13,6,11,11,13,11,26,14,15,16,21,14,6,14,14,9,18,8,12,11,14,13,14,4,9,11,15,25,10,13,14,13,15,18,13,18,14,21,12,17,17,12,13,12,10,14,7,14,16,25,10,12,14,13,16,19,14,18,15,22,13,17,19,12,14,12,9,14,6,13,22,9,20,17,16,14,11,18,8,16,8,11,12,6,20,18,5,11,12,8,11,19,23,10,19,17,16,16,11,19,8,16,9,11,15,7,20,20,5,11,12,8,12,18,17,11,16,24,12,11,6,16,15,11,13,7,11,21,11,13,12,13,14,17,15,17,16,12,16,24,12,11,7,17,15,12,13,8,11,21,11,13,11,14,14,17,12,16,20,17,22,11,15,8,19,15,13,14,12,12,18,16,7,12,10,12,12,12,15,11,21,17,22,11,16,8,18,16,14,15,12,12,16,15,8,13,10,11,12,12,13,12,20,16,20,21,24,13,18,15,14,14,17,19,16,9,15,16,9,12,10,11,15,19,21,16,20,22,24,13,18,15,14,14,17,20,16,9,15,16,9,12,10,11,15,19,19,16,21,21,24,17,10,18,18,13,9,15,19,16,14,22,13,14,11,11,17,17,19,16,21,21,24,18,10,18,17,13,9,15,19,16,13,22,13,14,13,11,17,17,2,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,23,16,18,13,24,15,8,14,2,19,15,13,10,21,9,11,6,16,14,10,17,13,24,20,21,16,26,16,8,19,7,19,16,13,12,20,10,11,8,17,14,11,14,16,19,13,21,16,12,18,10,9,11,19,14,11,11,22,14,11,9,8,12,14,9,15,18,16,24,20,13,19,11,10,12,20,17,11,13,23,15,13,13,9,12,14,9,13,19,19,10,7,6,18,15,10,15,7,16,12,14,14,15,12,8,10,10,16,6,9,19,22,11,8,5,15,17,10,20,8,20,15,16,16,13,16,8,10,13,13,7,8,20,25,17,12,14,14,14,20,13,13,15,18,11,5,9,5,13,15,12,11,17,11,21,25,17,12,13,16,17,19,16,15,17,17,14,7,10,6,15,14,12,9,20,10,16,19,25,16,21,8,15,14,8,11,11,8,12,10,16,7,7,10,9,13,13,14,15,21,28,16,22,9,16,14,8,11,10,9,16,11,16,7,10,11,9,14,13,15,12,17,14,18,4,20,23,15,15,15,12,12,9,13,6,14,7,6,6,12,10,12,11,18,13,19,7,20,23,16,15,14,13,13,10,12,7,13,7,7,6,10,9,12,21,13,5,17,15,18,11,11,11,15,12,12,14,12,9,6,15,13,15,12,7,15,21,14,6,17,18,19,11,8,12,15,13,12,14,13,10,5,15,11,15,14,7,15,14,15,14,16,16,13,15,8,9,13,9,11,21,18,11,11,8,14,14,13,17,15,16,17,14,17,16,11,16,10,10,14,9,11,22,17,11,11,10,14,12,13,15,15,13,15,18,16,18,20,13,10,11,13,9,13,10,19,11,12,7,12,18,11,8,10,16,15,19,17,16,21,13,10,12,14,9,13,10,20,11,12,8,11,18,11,9,11,20,12,22,14,15,16,11,20,8,9,14,7,10,10,12,9,12,11,8,9,12,17,21,12,22,14,17,17,12,20,8,10,14,8,10,10,11,9,12,11,8,10,12,16,19,17,30,17,14,15,16,8,13,15,14,8,11,14,8,8,9,9,11,8,22,14,19,17,30,17,14,15,18,8,13,14,14,8,12,15,8,9,9,9,11,8,22,14,15,20,24,17,20,17,19,17,16,9,7,9,8,12,18,11,14,10,14,9,10,17,15,20,24,17,20,17,19,17,16,10,7,9,8,12,18,11,14,10,14,9,10,17,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,28,18,20,21,21,24,22,21,21,27,24,20,20,26,15,19,25,19,15,18,25,21,25,15,16,19,19,21,17,18,17,25,20,19,18,25,15,16,21,17,14,17,24,19,16,20,11,15,12,16,21,10,16,23,19,18,19,10,16,20,17,23,19,15,17,10,15,20,9,15,10,14,20,10,15,19,17,17,18,9,16,18,15,22,18,15,17,7,23,14,7,12,13,15,13,22,20,14,17,22,12,25,12,10,14,15,21,27,23,20,20,13,7,12,12,11,12,20,19,14,16,19,12,23,10,10,12,14,21,26,22,16,12,8,23,11,18,17,13,19,19,16,17,16,15,16,17,19,14,20,19,23,25,15,10,8,23,9,17,16,13,17,18,16,17,16,15,14,16,17,14,17,17,21,23,15,13,12,18,11,12,18,16,13,20,12,13,19,18,9,24,20,18,19,21,12,17,16,11,11,17,11,11,17,15,12,19,12,12,16,18,9,22,18,17,19,20,11,16,16,14,16,11,4,12,8,16,10,13,17,15,19,19,12,18,8,14,17,8,14,20,12,11,16,9,3,10,7,13,10,13,13,13,18,19,11,18,8,13,17,7,14,20,12,9,11,11,11,16,5,12,13,18,19,18,14,14,13,16,10,14,14,17,11,20,11,8,9,11,11,14,5,10,12,17,18,17,13,13,12,13,10,13,14,17,11,20,11,9,15,13,12,17,14,9,12,7,14,9,20,13,15,19,15,18,16,11,19,12,18,8,14,13,12,17,12,9,11,7,13,8,20,10,14,19,13,18,16,11,19,11,18,10,11,18,10,14,14,13,12,16,11,18,11,19,16,15,14,14,14,21,14,9,12,10,10,17,10,14,14,12,11,16,10,18,10,19,15,15,14,14,13,21,14,9,12,8,14,10,17,9,17,17,18,16,16,8,17,21,13,17,10,16,16,15,17,13,14,7,14,10,17,8,17,17,17,15,15,8,17,21,13,16,9,16,16,15,17,13,13,16,13,13,8,16,13,20,15,11,17,11,15,21,18,10,18,11,25,14,18,18,6,15,13,13,7,16,13,20,15,11,17,11,14,21,18,10,18,11,25,14,18,18,6,18,16,12,13,16,11,14,14,12,24,14,21,24,19,16,13,18,20,20,18,13,16,18,16,12,13,16,10,14,14,12,24,14,21,24,19,16,13,18,20,18,18,13,16,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,44,28,27,26,29,25,37,43,37,47,25,26,39,28,17,33,29,35,28,31,25,45,43,23,23,23,26,23,35,37,32,47,24,23,37,28,14,33,27,32,28,29,25,41,37,31,29,27,24,35,21,28,26,34,27,22,47,35,21,31,38,30,29,29,25,24,36,28,25,23,23,33,20,27,24,32,23,21,45,34,20,28,34,28,29,29,24,24,31,39,30,32,24,33,29,31,31,24,27,24,24,24,29,28,31,30,45,25,29,27,31,35,28,31,24,32,27,30,26,23,23,20,22,22,29,24,31,30,41,25,27,27,34,34,27,31,19,32,34,28,34,32,27,26,29,27,27,25,29,33,36,23,43,21,30,33,26,31,19,29,31,28,31,29,25,26,26,25,26,24,27,31,34,23,39,21,20,29,26,25,19,29,27,26,27,36,23,22,33,31,28,26,28,31,32,27,26,18,20,27,23,24,18,28,25,25,27,36,23,21,29,30,28,26,25,30,32,25,25,17,22,34,21,27,26,27,21,21,16,25,24,22,15,22,17,19,23,26,18,21,26,25,22,31,21,26,23,26,20,20,15,24,23,20,14,22,15,19,23,25,17,21,26,24,23,34,31,12,25,28,29,21,25,20,25,25,23,20,32,24,26,26,27,23,16,22,22,33,30,12,22,26,29,21,24,20,24,25,23,19,31,23,26,26,27,21,16,22,26,21,29,25,37,21,26,24,33,23,22,19,28,19,17,17,28,29,22,18,20,22,24,19,27,23,37,21,25,22,32,21,22,19,27,19,17,16,26,29,22,17,20,22,24,21,18,24,26,27,20,26,36,28,40,28,25,26,19,21,23,20,26,24,31,16,21,21,17,23,26,26,20,26,35,27,40,28,25,25,19,20,22,20,26,24,30,15,31,23,23,27,24,21,28,19,24,29,30,25,27,22,30,18,23,26,29,22,31,20,30,23,23,27,22,20,27,19,24,28,30,24,27,22,30,18,23,26,29,21,31,20,28,17,37,31,26,23,26,24,34,30,22,30,28,28,26,23,20,17,21,29,27,20,28,17,37,31,26,23,24,24,34,30,22,30,27,27,26,22,20,17,21,29,27,20,26,40,37,21,27,25,33,28,34,21,27,35,32,20,25,25,33,36,27,30,37,24,26,39,37,21,27,25,33,28,34,20,27,35,32,20,25,25,33,36,27,30,37,24,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,59,64,50,60,47,54,47,56,59,65,54,57,51,57,43,42,55,47,48,39,49,64,59,64,50,60,47,54,47,56,59,65,54,57,51,57,43,42,55,47,48,39,49,64,54,50,36,50,42,53,58,34,44,49,42,51,51,39,33,54,40,50,49,38,45,42,54,50,36,50,42,53,58,34,44,49,42,51,51,39,33,54,40,50,49,38,45,42,65,63,40,55,47,59,52,54,52,46,56,43,42,55,52,36,48,51,48,51,62,57,65,63,40,55,47,59,52,54,52,46,56,43,42,55,52,36,48,51,48,51,62,57,49,35,61,41,47,58,42,51,47,42,41,45,37,40,51,48,45,46,40,51,69,50,49,35,61,41,47,58,42,51,47,42,41,45,37,40,51,48,45,46,40,51,69,50,41,59,50,43,50,50,46,57,41,39,48,45,46,43,60,62,52,42,47,25,53,38,41,59,50,43,50,50,46,57,41,39,48,45,46,43,60,62,52,42,47,25,53,38,46,38,56,35,36,35,48,38,33,38,45,47,52,32,37,36,44,59,33,33,43,32,46,38,56,35,36,35,48,38,33,38,45,47,52,32,37,36,44,59,33,33,43,32,40,54,38,40,43,29,37,50,48,54,50,47,37,53,41,41,38,40,42,36,40,39,40,54,38,40,43,29,37,50,48,54,50,47,37,53,41,41,38,40,42,36,40,39,44,37,56,45,56,41,32,47,32,46,29,43,40,40,53,53,33,42,34,36,35,55,44,37,56,45,56,41,32,47,32,46,29,43,40,40,53,53,33,42,34,36,35,55,43,45,57,45,33,40,32,42,41,35,46,29,36,54,48,47,36,44,54,43,36,41,43,45,57,45,33,40,32,42,41,35,46,29,36,54,48,47,36,44,54,43,36,41,48,52,48,47,43,40,57,53,51,45,35,63,49,41,45,35,44,38,48,46,41,35,48,52,48,47,43,40,57,53,51,45,35,63,49,41,45,35,44,38,48,46,41,35,52,44,53,53,56,38,49,47,45,53,47,45,50,40,37,49,35,51,38,43,47,38,52,44,53,53,56,38,49,47,45,53,47,45,50,40,37,49,35,51,38,43,47,38,57,47,49,49,52,47,39,43,54,52,46,55,56,47,47,48,52,53,52,45,47,53,57,47,49,49,52,47,39,43,54,52,46,55,56,47,47,48,52,53,52,45,47,53,3,5,4,3,11,1,1,0,1,0,0,0,0,0,0,1,3,1,4,2,4,2,3,5,4,3,11,1,1,0,1,0,0,0,0,0,0,1,3,1,4,2,4,2,86,57,55,45,68,49,59,69,50,86,55,50,58,64,34,60,39,60,50,49,53,66,86,57,55,45,68,49,59,69,50,86,55,50,58,64,34,60,39,60,50,49,53,66,65,55,64,53,45,62,46,45,48,67,50,42,65,71,42,46,58,43,53,54,46,50,65,55,64,53,45,62,46,45,48,67,50,42,65,71,42,46,58,43,53,54,46,50,66,69,51,53,47,59,53,49,64,35,55,43,52,51,54,51,49,51,73,47,43,51,66,69,51,53,47,59,53,49,64,35,55,43,52,51,54,51,49,51,73,47,43,51,58,70,49,54,41,60,57,62,58,56,54,56,53,50,48,40,54,61,55,47,76,43,58,70,49,54,41,60,57,62,58,56,54,56,53,50,48,40,54,61,55,47,76,43,42,55,62,57,47,52,55,51,45,60,49,46,57,49,57,43,47,50,50,53,46,43,42,55,62,57,47,52,55,51,45,60,49,46,57,49,57,43,47,50,50,53,46,43,44,63,43,55,45,61,58,46,41,54,46,46,40,48,34,48,41,43,35,45,44,49,44,63,43,55,45,61,58,46,41,54,46,46,40,48,34,48,41,43,35,45,44,49,57,56,45,41,49,62,48,45,47,48,45,44,46,54,52,37,54,50,48,43,34,46,57,56,45,41,49,62,48,45,47,48,45,44,46,54,52,37,54,50,48,43,34,46,54,51,54,49,60,44,57,45,58,46,40,37,58,48,35,39,48,55,45,37,46,44,54,51,54,49,60,44,57,45,58,46,40,37,58,48,35,39,48,55,45,37,46,44,49,42,44,50,50,62,45,53,62,49,57,54,41,52,40,43,40,41,50,46,55,40,49,42,44,50,50,62,45,53,62,49,57,54,41,52,40,43,40,41,50,46,55,40,63,48,54,55,56,44,44,43,38,49,51,42,48,46,51,39,46,49,57,39,47,41,63,48,54,55,56,44,44,43,38,49,51,42,48,46,51,39,46,49,57,39,47,41,52,48,81,60,51,49,53,43,56,60,45,47,43,58,40,37,44,37,43,44,56,40,52,48,81,60,51,49,53,43,56,60,45,47,43,58,40,37,44,37,43,44,56,40,55,77,71,50,56,60,64,59,59,42,49,56,52,45,57,51,59,54,56,53,61,50,55,77,71,50,56,60,64,59,59,42,49,56,52,45,57,51,59,54,56,53,61,50,3,0,1,2,2,1,1,0,2,1,0,0,0,0,0,1,0,0,2,6,0,1,3,0,1,2,2,1,1,0,2,1,0,0,0,0,0,1,0,0,2,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,0,2,3,1,0,2,2,1,0,1,4,1,2,2,2,1,1,2,2,4,4,1,0,2,3,1,0,2,2,1,1,1,4,1,3,2,2,1,1,2,2,5,1,4,4,2,1,1,1,2,0,2,0,2,1,4,1,1,1,0,1,0,1,1,1,4,4,3,1,1,1,2,0,2,0,2,1,4,1,1,1,0,1,0,1,1,1,3,1,1,1,0,0,2,4,1,1,3,1,1,3,3,1,4,3,2,2,0,1,3,1,1,1,0,1,2,4,1,1,3,2,1,3,3,1,4,3,2,2,0,0,4,0,1,2,0,0,1,1,3,1,2,0,0,3,0,0,1,1,4,5,1,0,4,0,1,2,0,0,1,1,4,1,2,0,0,3,0,0,1,1,4,6,1,2,0,1,0,0,0,1,1,0,2,1,0,1,0,0,3,0,4,1,1,2,1,2,0,1,0,0,0,1,1,0,2,1,0,1,0,0,3,0,4,1,1,3,1,2,0,0,3,2,1,0,0,0,2,1,1,2,1,1,2,2,0,1,3,2,1,2,0,0,3,2,1,0,0,0,2,1,1,2,1,1,2,2,0,1,3,2,1,0,0,2,0,1,1,1,2,2,2,1,0,1,1,2,2,3,1,3,2,1,1,0,0,2,0,1,1,1,2,2,2,1,0,1,2,2,2,3,1,3,2,1,1,1,1,2,1,0,0,0,2,2,0,5,2,0,0,1,3,2,2,0,2,2,0,1,1,2,1,0,0,0,2,2,0,5,2,0,0,1,3,2,2,0,1,2,0,1,2,0,1,1,0,1,0,3,1,0,1,4,1,1,0,0,0,0,2,1,2,1,2,0,2,1,0,1,0,3,1,1,1,4,1,1,0,0,0,0,2,1,2,2,1,1,1,3,2,1,0,1,2,0,1,0,1,1,1,0,0,1,0,2,1,2,1,1,1,3,2,1,0,1,2,0,1,0,1,1,1,0,0,1,0,2,1,0,2,1,0,1,2,3,0,1,1,3,1,0,1,0,0,0,0,0,2,3,2,0,2,1,0,1,2,3,0,1,1,3,1,0,1,0,0,0,0,0,2,3,2,1,0,1,2,2,1,2,1,4,3,3,1,1,2,0,2,2,1,2,0,1,3,1,0,1,2,2,1,2,1,4,3,3,1,1,2,0,2,2,1,2,0,1,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,2,0,1,0,1,0,2,3,0,0,0,0,0,0,0,0,0,0,2,0,0,3,2,0,1,0,1,0,2,3,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,1,0,0,3,2,0,0,0,0,0,0,1,3,0,1,1,2,0,0,0,0,0,2,0,0,3,2,0,0,0,0,1,0,1,3,0,1,1,1,0,1,0,0,3,2,0,2,1,1,0,2,0,2,1,1,1,1,2,2,1,1,0,1,0,0,3,2,0,2,1,1,0,2,0,2,1,2,1,1,2,2,0,1,4,1,1,1,1,2,0,0,1,0,3,0,2,0,1,0,2,0,1,1,0,1,4,1,1,1,1,2,0,1,1,0,3,0,2,0,1,0,2,0,1,1,3,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,2,0,2,0,0,3,1,0,0,0,0,0,0,0,1,0,1,0,2,0,1,1,2,0,2,1,0,0,1,2,1,0,1,0,2,1,2,1,0,0,0,0,0,1,0,0,0,3,1,0,1,2,1,0,1,0,2,1,2,1,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,2,0,1,1,0,0,1,0,1,2,0,0,1,0,2,0,0,0,1,0,0,0,2,0,1,1,0,0,1,0,1,2,0,0,1,0,2,0,0,0,2,1,2,1,0,2,1,0,1,2,2,0,1,0,0,0,0,0,1,0,2,0,2,1,2,1,0,2,1,0,1,2,2,0,1,0,0,0,0,0,1,0,2,0,3,4,0,0,1,1,2,0,1,0,1,2,0,1,1,2,2,0,3,0,0,1,3,4,0,0,2,1,2,0,1,0,1,2,0,1,1,2,2,0,3,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,1,1,1,1,2,1,2,1,1,0,2,1,0,2,0,0,3,0,1,0,0,0,0,0,0,1,2,1,2,1,1,0,2,1,0,2,0,0,3,0,1,0,0,0,0,0,0,1,5,0,0,1,1,0,0,0,4,2,1,0,0,2,0,1,1,0,1,2,1,1,5,0,0,1,1,0,0,0,4,2,1,0,0,2,0,1,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,1,2,4,1,0,0,1,1,2,3,1,1,5,3,1,1,3,2,1,1,0,1,1,2,4,1,0,0,0,1,2,3,0,1,5,3,1,1,3,1,1,1,0,1,0,1,0,0,5,1,2,0,0,2,0,1,2,0,3,1,1,2,1,1,0,0,1,1,0,0,5,1,2,0,0,2,0,1,2,1,3,2,1,2,1,1,1,1,1,0,4,2,4,0,3,1,1,1,2,1,1,1,2,0,2,2,2,1,1,1,1,0,4,2,4,0,3,1,0,2,2,2,1,2,2,0,2,2,1,3,3,2,1,1,2,0,3,1,0,2,0,2,1,1,1,0,1,0,12,2,1,3,3,2,1,1,2,0,3,0,1,2,0,2,1,1,1,0,1,0,11,2,0,2,0,1,1,1,1,2,1,1,0,2,1,2,0,1,3,2,1,0,4,6,0,2,0,1,1,1,1,2,1,1,0,2,1,2,0,1,3,2,1,0,4,6,1,0,0,4,0,0,2,0,1,0,5,0,0,1,0,0,2,0,0,1,1,3,1,0,0,4,0,0,2,0,1,0,5,0,0,1,0,0,2,0,0,1,1,4,1,0,0,1,1,1,0,0,1,2,1,0,1,2,2,1,0,2,0,2,3,0,1,0,0,2,2,1,0,0,1,2,1,0,1,1,2,1,0,2,0,2,3,0,1,1,1,2,0,0,0,1,1,2,0,1,0,2,2,2,2,0,1,3,0,3,1,1,1,2,0,0,0,1,1,2,0,1,0,2,2,2,2,0,2,3,0,3,1,0,0,2,0,3,1,2,2,1,1,1,1,1,0,1,2,0,2,2,2,1,1,0,0,1,0,3,2,2,2,1,0,1,1,1,0,1,2,0,2,2,2,1,0,1,1,2,1,4,0,1,1,1,0,1,3,1,2,2,0,3,0,2,2,3,0,1,1,2,2,4,0,1,1,1,0,3,3,1,2,2,0,3,0,2,2,3,4,0,4,2,2,1,0,0,0,1,0,2,2,2,2,1,2,3,0,1,2,5,4,0,4,2,2,1,0,0,0,1,0,2,2,2,2,1,2,3,0,1,2,5,0,1,5,0,1,1,2,2,0,3,1,0,2,4,3,2,2,0,1,1,6,2,0,1,5,0,1,1,2,2,0,3,1,0,2,4,3,2,2,0,1,1,6,2,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,1,0,1,1,1,4,1,1,1,2,0,3,1,1,1,0,0,0,0,1,3,2,1,0,1,1,2,4,1,1,1,2,0,3,1,1,2,1,0,2,1,1,1,0,3,2,2,1,0,1,0,0,2,1,0,2,0,1,0,1,0,2,1,1,1,0,2,2,2,1,2,1,0,1,2,1,0,2,0,1,0,1,0,2,1,1,1,1,3,0,1,1,1,1,1,0,3,0,2,1,1,4,2,1,0,2,1,2,1,1,4,0,1,1,1,1,1,0,3,1,1,1,1,4,2,2,1,2,0,0,1,0,1,4,2,1,0,1,0,0,0,0,0,0,0,0,2,2,1,2,0,0,1,0,1,5,1,1,0,1,0,0,0,0,0,1,0,0,2,0,0,2,0,0,1,1,1,0,1,0,2,2,2,2,2,1,3,1,0,3,3,0,0,2,0,0,2,1,1,0,2,0,2,2,2,2,2,1,3,1,0,2,3,0,2,1,2,1,2,0,1,0,1,1,2,1,2,1,2,0,1,4,0,2,3,0,2,1,2,1,2,0,1,0,1,1,2,1,2,1,2,0,1,4,0,2,3,0,1,0,0,1,0,2,0,3,1,0,1,0,0,2,0,1,1,2,0,1,2,0,1,0,0,1,0,2,0,3,1,0,1,0,1,2,0,1,1,2,0,1,2,2,0,1,1,1,1,1,1,0,0,0,3,1,1,0,1,0,2,0,1,0,1,2,0,1,1,1,1,1,1,0,0,0,3,1,1,0,1,0,2,0,1,0,1,3,1,1,2,2,0,1,1,1,0,2,2,0,0,0,1,0,0,0,1,0,1,3,1,1,2,1,0,1,1,1,0,2,2,0,0,0,1,0,0,0,1,2,1,0,2,1,1,2,1,2,2,0,1,0,2,0,0,1,1,0,0,2,2,3,2,0,2,1,1,3,1,2,3,0,1,0,2,0,0,1,1,0,0,2,2,3,2,1,0,1,0,1,1,1,0,2,2,0,0,1,1,0,0,3,2,0,0,2,2,1,0,1,0,1,1,1,0,2,2,0,0,1,1,0,0,3,2,0,0,2,2,2,0,0,0,0,2,3,3,1,2,2,1,1,1,1,1,0,0,3,0,0,1,2,0,0,0,0,2,3,3,1,2,2,1,1,1,1,1,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,3,2,1,0,2,2,1,0,0,0,0,0,2,2,2,0,5,2,0,2,1,2,3,2,1,0,2,2,2,0,0,0,0,0,2,2,2,1,5,3,0,1,1,3,2,1,1,3,1,4,2,4,0,2,2,0,3,1,4,1,2,2,1,2,1,3,2,0,1,5,2,5,2,4,0,2,2,1,4,1,3,1,1,2,1,3,1,0,3,1,3,3,1,1,0,1,2,3,4,1,1,1,4,2,1,2,3,2,1,0,3,1,3,2,1,2,0,1,2,3,3,2,0,2,3,2,1,2,3,1,2,1,1,0,1,3,2,3,2,1,2,5,3,3,1,0,3,1,0,3,3,1,2,1,1,1,1,3,2,3,2,1,3,5,4,3,1,0,3,2,0,3,3,0,1,1,4,1,4,0,2,2,2,0,1,2,1,0,0,1,2,0,0,3,4,0,1,1,4,1,4,0,2,2,3,0,1,2,1,0,0,1,2,0,1,2,4,1,1,0,0,1,2,1,1,1,1,2,1,2,1,0,3,1,3,5,1,2,3,1,1,0,0,1,4,1,1,1,2,2,1,2,1,0,3,1,3,6,1,2,4,2,0,0,4,6,1,3,1,2,1,1,2,3,5,3,3,3,2,2,0,2,2,2,0,0,3,5,1,3,2,3,1,1,2,3,5,4,3,3,2,3,0,2,2,0,0,3,3,3,6,1,1,0,1,2,0,2,0,1,4,1,4,1,1,4,3,0,0,3,3,3,7,2,1,0,2,2,0,2,0,1,4,1,4,0,2,4,3,1,3,3,2,2,5,3,0,2,1,1,2,2,0,2,4,1,8,3,3,1,5,1,3,3,2,2,5,2,0,2,1,1,2,2,0,2,4,1,8,3,3,1,5,1,0,2,2,2,0,3,4,1,2,2,3,3,2,4,2,2,2,2,3,3,1,1,0,2,2,1,0,3,4,1,2,2,1,3,2,4,2,2,2,2,3,3,1,2,0,4,0,5,0,0,3,2,1,3,1,0,2,3,2,3,1,2,3,2,3,2,0,4,0,5,0,0,3,2,1,3,1,0,2,3,2,3,1,2,3,2,3,1,0,2,1,3,1,1,2,0,3,3,1,2,2,1,2,3,4,3,2,3,5,1,0,2,1,3,1,1,2,0,3,3,1,2,2,1,2,4,4,3,2,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,2,4,2,4,1,1,2,0,3,1,2,3,2,4,4,1,3,1,2,2,1,2,2,4,0,4,1,1,3,0,2,1,2,3,2,4,5,1,3,1,3,0,0,1,2,0,2,2,2,2,0,3,5,2,2,1,0,3,1,1,3,1,3,0,0,1,2,0,2,4,2,2,0,3,3,3,2,0,0,3,3,1,3,1,4,1,1,0,0,4,3,2,4,2,2,0,1,3,0,0,0,4,6,0,1,1,2,1,1,0,0,3,4,2,3,2,2,0,1,3,0,0,0,3,6,0,1,3,2,4,0,0,2,1,1,0,2,1,1,1,2,3,0,4,0,1,2,4,1,6,4,4,0,0,2,1,1,1,3,0,1,1,2,3,0,4,0,1,3,3,1,7,4,2,1,1,2,2,2,2,2,2,2,0,3,3,1,0,0,1,1,0,4,1,4,2,2,1,2,3,1,3,2,2,1,0,3,3,1,0,1,1,1,0,4,1,4,0,1,2,2,1,1,1,4,2,3,3,1,0,1,4,1,2,3,3,1,2,4,0,1,2,2,1,1,1,5,2,3,3,1,0,1,5,2,2,3,3,1,2,4,2,1,0,0,5,3,1,1,1,2,1,5,3,4,4,0,3,2,6,0,1,1,2,1,0,0,5,3,1,1,1,2,1,5,3,3,4,0,3,2,6,0,1,2,3,3,1,2,1,2,3,3,1,1,2,4,3,1,2,2,0,0,3,2,0,1,3,3,1,2,1,2,4,3,1,1,3,4,3,1,2,2,0,0,3,2,0,1,2,0,0,2,2,3,2,2,2,4,0,0,0,2,3,2,0,2,1,3,3,1,2,0,0,2,2,3,2,2,2,4,0,0,0,2,3,2,0,2,1,4,1,1,1,1,1,3,1,4,1,4,2,3,2,1,2,1,1,0,2,2,4,3,4,4,1,1,1,3,0,4,1,3,2,3,2,1,2,1,1,0,2,2,4,3,4,4,1,2,3,1,3,0,2,1,3,4,0,4,2,0,6,1,1,3,2,0,6,1,1,2,3,1,3,0,2,1,3,4,0,4,2,0,6,1,1,3,2,0,6,1,0,2,1,3,2,3,2,5,4,2,4,2,4,2,0,0,1,3,3,5,3,2,0,2,1,3,2,3,2,5,4,2,4,2,4,2,0,0,1,3,3,5,3,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,1,1,0,2,1,2,3,4,3,1,2,1,1,1,1,2,8,1,2,1,1,0,1,1,0,2,0,2,3,4,3,1,2,1,1,0,1,1,8,3,1,0,1,1,0,2,1,1,2,0,0,1,3,1,3,1,2,4,1,1,3,2,1,0,1,1,0,0,0,0,2,0,0,1,3,0,2,1,2,4,1,1,3,2,0,0,0,1,0,0,0,4,2,0,3,0,3,3,4,2,3,1,1,2,5,2,0,0,0,1,0,0,0,3,2,0,3,0,3,2,4,1,3,1,1,2,5,0,1,2,1,1,0,1,1,0,1,2,2,1,3,4,2,2,1,4,2,6,1,0,1,2,1,0,0,1,1,0,1,1,1,1,2,4,2,2,1,3,2,6,1,3,1,0,2,2,0,2,1,1,1,1,2,2,1,0,2,2,0,3,1,0,0,3,1,0,2,2,0,2,1,1,0,1,2,2,1,0,2,2,0,3,0,0,0,0,1,2,2,0,3,0,1,2,3,1,0,1,0,2,2,2,0,4,1,1,3,0,1,2,2,0,1,0,1,2,2,1,0,1,0,2,2,2,0,3,1,1,1,1,0,1,2,0,1,0,2,5,0,3,2,0,1,3,1,0,1,2,2,2,2,1,0,1,2,0,1,0,1,4,0,3,2,0,1,2,1,0,1,1,2,2,2,0,0,0,0,1,3,2,1,0,1,1,0,0,1,1,1,1,2,1,2,0,4,0,0,0,0,1,2,1,1,0,0,1,0,0,1,1,1,1,2,1,1,0,4,0,1,0,0,0,1,1,0,0,0,0,1,2,1,2,0,0,1,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,1,2,1,2,0,0,1,0,2,0,1,2,0,2,0,1,0,2,0,0,2,0,3,0,1,0,1,2,0,0,1,3,1,2,0,2,0,1,0,2,0,0,2,0,3,0,1,0,1,2,0,0,1,3,1,1,1,2,0,1,0,0,1,0,0,2,0,0,2,3,3,3,1,0,2,5,3,1,1,2,0,1,0,0,1,0,0,2,0,0,2,3,3,3,1,0,2,5,3,1,1,0,0,0,0,0,0,1,0,1,0,1,1,5,1,2,2,1,3,4,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,5,1,1,2,1,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,2,1,1,3,2,2,3,4,2,7,2,4,1,6,4,3,11,3,4,11,3,2,2,1,1,3,2,2,3,3,2,7,2,4,1,6,4,2,11,3,4,9,1,4,1,2,1,0,3,2,1,0,2,3,2,4,2,4,4,6,2,3,2,3,1,4,1,2,1,0,1,2,1,0,2,3,1,4,2,4,3,4,2,3,2,2,0,4,1,0,1,2,2,3,4,5,1,6,2,1,1,3,4,3,2,4,5,4,0,4,1,0,1,1,2,3,4,5,1,6,2,1,1,3,4,3,2,4,3,4,2,2,0,1,3,5,2,1,2,0,1,3,3,1,2,1,4,6,4,2,6,2,2,2,0,1,3,5,1,0,2,0,1,3,3,1,2,1,4,5,4,2,5,2,2,2,2,1,2,3,5,3,1,2,2,1,4,1,5,1,2,2,3,2,2,1,2,1,2,1,1,3,4,3,1,2,2,1,4,1,5,0,2,2,3,2,2,1,2,0,3,1,1,2,2,1,3,2,1,2,6,1,2,4,1,1,2,0,3,2,2,0,3,1,1,2,2,0,3,2,1,2,6,1,1,3,1,1,2,0,3,2,1,0,1,4,0,2,0,0,3,2,0,1,1,3,1,2,0,2,3,3,2,5,1,0,1,4,0,2,0,0,3,2,0,1,1,3,1,2,0,2,3,3,2,4,1,2,0,1,0,1,3,3,2,3,2,0,1,3,4,3,1,2,3,2,3,6,1,2,0,1,0,1,2,3,2,3,1,0,1,3,4,3,1,2,3,2,3,6,2,0,0,1,0,0,0,0,3,3,5,2,0,2,2,3,5,7,4,4,2,3,2,0,0,1,0,0,0,0,3,3,5,2,0,2,2,3,5,7,4,3,2,3,2,2,3,1,0,1,1,0,1,0,1,5,3,2,7,2,4,4,3,2,1,4,2,2,3,1,0,1,1,0,1,0,1,5,3,2,7,2,4,4,3,2,1,4,2,0,0,1,0,3,2,3,1,0,4,2,3,0,3,3,2,4,4,3,6,4,2,0,0,1,0,3,2,3,1,0,4,2,3,0,3,3,2,4,4,3,6,4,1,2,3,4,3,1,2,3,4,3,4,3,2,2,2,2,7,3,5,4,4,7,1,2,3,4,3,1,2,3,4,3,4,3,2,2,2,2,7,3,5,4,4,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,3,7,6,5,5,5,6,3,3,5,10,7,4,7,11,7,3,9,10,14,8,6,3,7,6,5,5,5,6,3,3,5,10,7,4,7,11,7,3,9,10,14,6,7,7,6,3,3,7,4,10,7,6,2,4,11,2,8,7,6,9,4,5,7,6,7,7,6,3,3,7,4,10,7,6,2,4,11,2,8,7,6,9,4,5,7,7,5,2,5,4,3,7,6,13,3,5,9,5,10,9,9,5,12,8,4,8,11,7,5,2,5,4,3,7,6,13,3,5,9,5,10,9,9,5,12,8,4,8,11,2,10,6,5,4,2,7,4,7,7,4,8,6,8,11,4,3,5,7,7,26,7,2,10,6,5,4,2,7,4,7,7,4,8,6,8,11,4,3,5,7,7,26,7,5,4,2,7,4,5,4,6,4,6,2,5,6,4,0,6,6,8,5,2,9,12,5,4,2,7,4,5,4,6,4,6,2,5,6,4,0,6,6,8,5,2,9,12,4,2,2,9,3,6,3,2,4,6,9,2,5,3,3,7,7,4,10,6,6,10,4,2,2,9,3,6,3,2,4,6,9,2,5,3,3,7,7,4,10,6,6,10,4,0,3,7,8,4,4,5,10,6,7,4,5,9,11,7,7,6,8,7,8,5,4,0,3,7,8,4,4,5,10,6,7,4,5,9,11,7,7,6,8,7,8,5,2,2,6,6,4,10,3,5,3,4,8,5,2,3,5,10,6,8,3,8,7,10,2,2,6,6,4,10,3,5,3,4,8,5,2,3,5,10,6,8,3,8,7,10,3,6,3,5,3,9,6,2,7,3,2,5,9,3,5,5,3,10,5,9,4,9,3,6,3,5,3,9,6,2,7,3,2,5,9,3,5,5,3,10,5,9,4,9,5,2,6,5,7,7,6,5,3,7,2,8,6,5,7,6,4,5,4,6,11,6,5,2,6,5,7,7,6,5,3,7,2,8,6,5,7,6,4,5,4,6,11,6,7,3,12,2,9,3,3,4,3,3,8,4,2,7,8,6,8,5,2,8,12,13,7,3,12,2,9,3,3,4,3,3,8,4,2,7,8,6,8,5,2,8,12,13,3,3,8,3,6,3,5,5,5,9,8,2,6,9,9,7,9,7,7,6,14,10,3,3,8,3,6,3,5,5,5,9,8,2,6,9,9,7,9,7,7,6,14,10,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,6,3,7,5,6,7,8,5,4,9,6,11,7,8,5,9,10,8,15,7,6,16,6,3,7,5,6,7,8,5,4,9,6,11,7,8,5,9,10,8,15,7,6,16,3,6,4,5,2,3,5,8,5,2,9,10,5,6,3,6,8,7,6,9,4,7,3,6,4,5,2,3,5,8,5,2,9,10,5,6,3,6,8,7,6,9,4,7,3,6,3,2,6,6,8,12,6,10,3,9,6,4,1,8,9,12,5,7,13,10,3,6,3,2,6,6,8,12,6,10,3,9,6,4,1,8,9,12,5,7,13,10,8,4,6,4,5,8,3,7,7,3,4,5,10,1,8,1,6,8,10,3,13,9,8,4,6,4,5,8,3,7,7,3,4,5,10,1,8,1,6,8,10,3,13,9,7,4,5,3,4,6,8,6,3,6,2,7,9,6,7,4,5,8,4,8,6,8,7,4,5,3,4,6,8,6,3,6,2,7,9,6,7,4,5,8,4,8,6,8,2,4,9,6,3,6,3,9,6,8,6,5,7,4,7,7,5,5,9,1,10,10,2,4,9,6,3,6,3,9,6,8,6,5,7,4,7,7,5,5,9,1,10,10,4,2,1,4,8,5,4,2,7,5,2,7,5,10,7,2,5,5,13,3,4,8,4,2,1,4,8,5,4,2,7,5,2,7,5,10,7,2,5,5,13,3,4,8,8,6,4,5,2,6,8,7,4,6,6,7,6,5,6,6,1,4,7,5,5,8,8,6,4,5,2,6,8,7,4,6,6,7,6,5,6,6,1,4,7,5,5,8,10,5,1,5,5,4,5,3,7,7,8,6,0,5,6,8,7,9,8,8,5,6,10,5,1,5,5,4,5,3,7,7,8,6,0,5,6,8,7,9,8,8,5,6,4,5,6,5,3,6,4,6,4,4,3,9,5,4,9,3,8,6,10,8,9,11,4,5,6,5,3,6,4,6,4,4,3,9,5,4,9,3,8,6,10,8,9,11,6,4,5,4,5,5,5,6,7,6,6,6,6,4,9,5,6,9,6,3,14,7,6,4,5,4,5,5,5,6,7,6,6,6,6,4,9,5,6,9,6,3,14,7,4,9,4,7,6,7,7,11,9,12,12,7,7,5,5,3,9,7,11,10,9,11,4,9,4,7,6,7,7,11,9,12,12,7,7,5,5,3,9,7,11,10,9,11,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,0,2,0,2,1,1,1,0,0,0,0,0,0,0,1,0,1,2,1,1,1,0,0,2,0,3,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,2,1,0,2,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,2,1,0,2,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,2,2,0,1,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,0,2,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,2,0,1,1,0,0,1,2,0,2,1,2,1,0,1,1,1,2,0,1,1,0,1,1,0,0,0,0,1,2,0,2,1,2,1,0,1,1,1,2,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,2,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1,2,1,0,3,0,1,1,1,2,0,0,1,0,0,1,1,1,1,0,2,1,0,1,1,1,3,0,1,1,1,2,0,0,1,0,0,1,1,1,1,0,2,1,0,1,1,1,0,2,2,1,0,0,4,0,2,0,0,0,2,1,0,1,0,0,1,0,1,1,0,2,2,1,0,0,4,0,2,0,0,0,2,1,0,1,0,0,1,0,1,1,1,1,1,2,0,1,1,0,2,1,3,0,0,0,2,0,1,0,0,0,0,1,1,1,1,2,0,1,1,0,2,1,3,0,0,0,2,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,0,2,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,2,0,2,1,0,1,0,0,1,0,0,1,1,0,2,0,0,0,1,3,0,1,0,0,0,1,1,0,2,0,0,1,2,0,0,1,2,0,0,0,1,3,0,1,0,0,0,1,1,0,2,0,0,1,2,0,0,1,0,1,4,0,1,1,0,1,3,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,4,0,1,1,0,1,3,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,2,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,2,1,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,3,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,4,0,0,1,3,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,2,0,1,0,0,0,0,2,1,4,0,0,1,1,1,1,0,0,1,0,0,1,2,0,1,0,0,0,0,2,1,4,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,2,1,0,0,1,0,0,0,1,0,1,1,0,0,2,1,1,1,0,0,0,1,3,1,0,0,1,0,0,0,1,0,1,1,0,0,2,1,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,1,0,0,0,1,2,1,1,0,2,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,2,1,0,2,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,1,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,4,1,0,1,1,2,1,0,1,1,2,1,1,1,1,0,0,0,1,1,1,1,4,1,1,1,1,1,1,0,1,1,4,1,1,1,1,1,0,2,1,1,1,0,0,0,0,0,2,0,1,0,0,0,1,2,2,1,4,3,2,2,2,1,1,0,0,0,0,0,2,0,1,0,0,1,1,2,3,1,4,3,3,2,2,2,1,0,1,0,2,0,1,2,0,0,1,1,1,0,1,2,1,1,2,2,2,2,1,0,1,0,2,0,1,2,0,0,1,1,1,0,1,3,1,1,2,2,1,1,0,3,1,0,1,1,3,3,1,2,1,3,3,0,0,1,1,2,0,2,1,1,0,3,1,0,1,1,3,3,0,2,1,3,3,0,0,1,1,2,1,1,2,1,0,1,1,2,0,0,0,2,1,0,3,2,1,2,1,1,0,1,3,1,2,1,1,1,1,2,0,0,0,2,1,1,4,2,1,2,1,1,0,2,3,2,0,1,0,0,0,0,3,1,0,0,3,0,2,0,3,0,1,0,0,0,2,2,0,2,0,0,0,0,3,1,0,0,2,0,2,0,2,0,1,0,0,0,2,0,1,1,0,2,2,0,0,0,0,2,1,0,0,3,3,2,3,1,1,3,2,0,1,1,0,2,2,0,0,0,0,2,1,0,0,3,3,2,3,1,2,3,2,0,1,0,0,0,0,0,0,2,1,0,0,2,1,0,1,0,0,0,1,2,1,0,1,0,0,0,0,0,0,2,1,0,0,2,1,0,1,0,0,0,2,2,1,0,1,0,1,2,1,1,1,1,0,1,2,0,3,1,1,0,1,2,1,0,1,0,1,0,1,2,1,1,1,1,0,1,3,0,3,1,1,0,1,2,2,0,1,0,1,0,2,1,1,0,0,2,0,1,3,1,0,0,1,3,1,1,2,1,2,0,1,0,2,1,1,0,0,2,0,1,3,1,0,0,1,3,2,1,2,1,2,0,1,2,0,1,0,1,0,0,0,3,2,2,2,1,0,3,1,1,2,0,1,0,1,2,0,1,0,1,1,0,0,3,2,2,2,1,0,3,1,1,2,0,1,1,0,1,0,2,0,0,0,4,1,1,0,1,1,3,3,2,2,4,0,2,1,1,0,1,0,2,0,0,0,4,1,1,0,1,1,3,3,2,2,4,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,2,0,3,3,0,1,0,2,0,0,1,0,0,0,1,1,0,0,0,2,1,1,2,0,3,4,0,2,0,2,0,0,0,0,0,0,0,1,0,2,1,2,0,2,2,0,0,1,3,0,1,1,2,0,0,0,0,0,0,1,0,0,1,2,0,3,2,0,0,1,3,0,1,1,2,2,2,0,2,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1,1,1,2,0,2,1,0,0,1,0,0,0,0,2,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,4,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,4,0,1,0,1,0,0,1,1,1,2,0,2,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,2,0,2,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,1,1,1,0,0,0,1,2,3,1,2,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,2,3,1,1,1,0,0,1,1,1,0,0,0,1,1,2,1,0,2,0,0,0,1,0,1,0,2,1,2,1,0,0,0,0,0,1,1,2,1,0,2,0,0,0,1,0,1,0,2,1,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,2,1,0,1,0,2,2,1,1,0,1,0,1,1,1,0,1,0,2,1,1,0,1,2,3,0,3,2,2,1,1,0,2,0,1,1,2,0,1,0,2,1,1,0,1,3,4,1,3,2,0,1,2,0,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,1,0,3,0,1,2,0,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,1,0,3,0,0,1,1,0,0,0,1,2,0,1,0,1,0,0,1,0,1,0,0,3,0,0,0,1,1,0,0,0,1,2,0,1,0,1,0,0,1,0,1,0,0,3,0,0,0,1,0,0,0,1,1,0,1,0,3,1,0,3,1,1,3,0,0,2,4,0,0,1,0,0,0,1,1,0,1,0,3,1,0,3,1,1,3,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,2,1,3,2,1,1,3,4,2,3,1,6,2,0,1,4,3,4,1,1,1,0,2,1,4,2,1,1,4,4,2,3,1,4,2,0,2,4,2,5,3,2,1,2,0,4,1,0,1,2,1,4,2,1,3,3,0,1,1,2,0,4,3,1,1,1,1,4,1,0,1,2,1,4,2,1,2,3,0,0,1,2,0,3,1,3,1,1,2,3,0,1,4,0,1,1,3,4,2,0,2,1,3,3,1,4,1,3,2,1,2,4,0,1,4,0,1,1,3,4,2,0,2,1,3,3,1,4,3,1,4,1,4,3,2,1,2,1,2,1,1,2,3,1,2,1,2,3,3,2,3,1,4,1,4,4,2,1,2,2,4,2,1,2,4,1,2,1,2,4,4,1,2,1,4,3,1,2,0,2,0,2,1,2,3,2,1,3,1,2,1,4,4,2,2,1,4,2,2,2,0,2,0,2,1,2,3,1,1,3,1,2,1,4,3,2,5,2,5,0,1,1,1,0,2,3,0,1,2,1,1,1,1,1,3,0,0,1,5,2,4,0,1,2,2,0,2,3,0,1,3,1,1,1,1,1,3,0,0,1,2,3,0,1,0,2,1,2,5,1,3,0,1,1,2,4,1,0,4,4,1,2,2,3,0,1,0,2,1,2,5,1,3,1,1,1,3,4,1,0,5,3,1,2,4,1,0,0,1,1,1,1,1,0,1,0,3,0,3,2,0,3,1,3,2,1,4,1,0,0,1,1,1,1,1,0,1,0,3,0,3,2,0,3,1,2,2,1,3,3,0,5,4,2,1,2,0,1,2,3,1,1,3,3,1,3,3,3,2,2,3,3,0,5,4,2,1,2,0,1,2,2,1,1,3,3,1,3,3,2,2,2,3,2,0,4,0,5,1,1,1,3,1,2,0,0,3,2,5,3,0,3,1,3,3,3,0,4,0,5,1,1,1,3,1,3,0,0,3,2,5,2,0,3,1,4,5,2,2,2,3,2,1,3,0,3,2,1,1,3,1,1,0,4,0,0,3,4,5,2,2,2,3,2,1,2,0,3,2,1,1,3,1,1,0,4,0,0,3,4,1,1,3,2,1,3,0,5,0,2,0,1,0,2,2,1,1,1,3,1,3,2,1,1,3,2,1,3,0,5,0,2,0,1,0,2,2,1,1,1,3,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,3,4,1,2,2,2,3,0,1,0,2,3,3,1,0,1,2,1,1,3,2,0,5,4,1,2,2,1,3,0,1,0,2,2,3,0,0,1,2,2,3,4,1,2,4,1,2,3,0,2,2,2,1,0,2,4,2,1,0,0,2,3,3,4,1,2,4,1,3,4,0,2,2,1,1,0,2,4,2,1,0,0,2,2,2,2,3,1,1,2,1,0,2,1,1,4,0,0,0,5,2,3,4,3,0,2,2,2,3,2,1,2,1,0,3,1,1,4,0,0,0,5,3,3,4,3,0,0,3,2,1,4,1,0,2,1,0,0,0,2,2,1,3,3,0,3,1,2,2,0,3,2,1,4,1,0,2,1,0,1,0,2,2,1,2,3,0,3,1,3,2,0,2,1,3,1,3,2,0,3,0,3,1,1,2,0,2,0,1,1,2,4,1,0,2,1,3,1,3,2,0,3,0,3,2,1,2,0,2,0,1,0,2,3,1,6,0,4,1,1,1,1,2,1,0,2,2,1,0,3,1,0,0,2,2,0,0,6,0,4,1,1,1,1,2,1,0,2,2,1,0,3,1,0,0,2,2,0,0,1,3,3,0,0,1,1,2,4,2,3,1,0,1,2,2,1,4,1,1,3,2,1,3,4,2,0,1,1,2,4,3,3,1,0,1,3,2,1,4,1,1,3,2,1,1,1,1,1,2,1,2,1,1,2,0,0,1,4,0,3,1,1,2,1,1,1,1,1,2,1,2,1,2,1,1,2,0,0,1,4,0,3,1,1,2,1,1,0,0,1,0,1,0,1,2,3,2,2,1,0,3,1,2,0,1,2,2,0,2,0,0,1,0,0,0,2,3,2,2,2,1,0,3,1,2,0,0,1,1,0,2,0,1,1,1,1,1,1,0,0,3,1,2,1,2,1,3,0,3,0,2,2,0,0,1,1,1,1,1,1,0,0,3,1,2,1,2,1,3,0,3,0,2,2,0,5,2,4,1,2,0,2,1,1,1,0,1,2,2,1,1,1,2,2,1,2,2,5,2,4,1,3,0,2,1,1,1,0,1,2,2,1,1,1,2,2,1,2,2,1,4,3,2,2,1,3,1,1,4,2,1,0,4,1,0,3,2,2,2,2,2,1,4,3,2,2,1,3,1,1,4,2,1,0,4,1,0,3,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,5,2,0,1,3,2,1,2,2,2,4,3,3,3,2,2,0,2,6,3,3,1,5,2,0,0,2,2,1,1,2,2,4,3,3,3,2,1,0,2,5,3,3,1,1,3,2,1,3,2,1,2,2,4,3,2,4,4,0,2,0,3,2,3,3,1,1,2,2,1,3,2,1,2,2,4,3,2,4,4,0,2,0,3,2,2,3,2,2,1,2,2,2,1,3,3,0,1,1,2,1,2,3,4,3,0,3,2,3,1,2,1,1,2,2,1,3,3,0,1,1,2,1,2,3,3,3,0,3,2,1,1,1,1,2,0,1,2,1,6,2,2,2,1,0,1,4,1,2,4,1,2,1,1,1,1,1,0,1,2,0,4,1,2,2,0,0,1,4,1,1,3,1,3,1,1,0,3,3,1,3,1,2,0,1,3,1,1,1,4,1,1,4,4,2,3,1,1,0,2,3,1,3,1,2,0,1,2,1,1,1,4,1,1,4,4,2,1,0,2,0,2,2,2,2,1,0,0,3,5,0,2,0,2,0,0,0,6,2,1,0,2,0,2,1,1,2,1,0,0,3,4,0,2,0,2,0,0,0,6,2,2,1,1,0,3,2,1,0,3,0,1,1,3,1,1,0,3,5,3,3,2,2,2,1,1,0,3,2,1,0,3,0,1,0,3,1,0,0,3,5,2,3,2,2,1,1,1,1,2,2,1,1,1,1,2,1,2,2,3,4,0,2,3,1,3,1,1,1,1,1,2,2,1,1,1,1,2,1,2,2,3,4,0,2,3,1,3,1,0,2,2,3,0,3,1,3,1,3,1,1,1,1,2,2,1,0,1,1,3,3,0,2,2,3,0,3,1,3,1,3,1,1,1,1,2,2,1,0,1,1,3,3,3,1,1,0,3,3,2,3,3,1,2,4,2,2,4,2,1,4,1,2,1,1,3,0,1,0,3,3,2,3,3,1,2,3,2,2,4,2,1,4,1,2,1,0,1,2,3,2,0,2,2,0,2,1,1,2,0,0,3,1,2,3,4,0,2,2,1,2,3,2,0,2,2,0,2,1,1,2,0,0,3,1,2,3,4,0,2,2,3,1,1,1,1,1,2,2,0,5,0,1,3,9,3,0,3,4,3,0,3,2,3,1,1,1,1,1,2,2,0,5,0,1,3,9,3,0,3,4,3,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,4,5,1,4,5,1,3,4,2,3,4,4,4,7,1,4,1,5,4,3,2,7,3,5,1,1,5,1,3,4,2,3,4,4,4,7,1,4,1,5,4,3,1,2,2,5,4,3,3,5,6,2,6,4,2,5,2,3,4,2,2,1,2,0,0,2,2,5,4,3,3,4,5,2,6,4,2,5,2,3,4,2,2,1,2,0,3,3,3,1,6,3,2,4,2,3,3,5,6,4,3,3,4,4,3,3,3,4,3,3,3,1,5,3,2,4,2,2,3,5,5,4,3,3,3,3,3,3,3,4,3,1,3,0,5,3,1,5,2,6,2,6,5,5,3,0,3,4,3,4,3,1,3,1,3,0,5,3,1,5,2,6,1,6,5,5,3,0,3,4,3,4,2,1,3,4,2,0,4,2,0,4,3,6,5,4,5,1,2,3,2,5,0,2,1,4,3,4,2,0,4,2,0,4,3,6,5,3,5,1,2,3,2,5,0,2,1,4,1,4,2,1,1,6,2,2,6,4,1,3,1,1,3,1,2,2,4,2,4,5,1,4,2,1,1,6,2,2,6,4,1,3,1,1,3,1,2,2,4,2,4,5,1,1,2,3,0,1,5,1,2,3,7,3,4,4,2,1,3,3,3,4,4,3,1,1,1,1,0,1,5,1,2,2,7,3,4,4,1,1,3,3,3,4,4,3,1,3,6,3,2,2,4,0,0,4,3,6,1,3,5,2,1,4,3,2,5,1,1,3,6,2,2,2,4,0,0,4,3,6,1,3,5,2,1,4,3,2,5,1,1,0,5,2,2,2,2,1,0,2,2,1,1,3,3,4,3,2,4,2,2,3,1,0,5,2,2,2,1,0,0,2,2,1,1,3,3,4,3,2,4,2,2,3,3,2,3,2,1,4,2,2,2,2,3,3,3,6,3,1,6,4,3,1,2,3,3,2,3,2,1,4,2,2,2,2,3,3,3,6,3,1,6,4,3,1,2,3,2,4,3,1,2,2,1,2,1,4,3,3,2,2,4,2,5,3,3,8,2,4,2,4,3,1,1,2,1,2,1,4,3,3,2,2,4,2,5,3,3,8,2,4,0,4,0,0,8,2,4,5,4,1,2,2,8,2,3,1,2,2,0,5,6,2,0,4,0,0,8,2,4,5,4,1,2,2,8,2,3,1,2,2,0,5,6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,6,5,7,6,6,5,5,6,3,9,8,5,10,5,11,6,3,4,5,5,11,4,6,5,7,6,6,5,5,6,3,9,8,5,10,5,11,6,3,4,5,5,11,8,7,3,4,3,7,2,4,3,7,5,8,6,6,5,8,7,3,4,7,7,8,8,7,3,4,3,7,2,4,3,7,5,8,6,6,5,8,7,3,4,7,7,8,7,9,5,5,4,6,2,7,7,4,7,1,6,6,5,2,4,5,9,7,2,9,7,9,5,5,4,6,2,7,7,4,7,1,6,6,5,2,4,5,9,7,2,9,8,3,8,2,9,7,3,4,5,6,11,4,5,5,7,4,3,6,6,6,10,4,8,3,8,2,9,7,3,4,5,6,11,4,5,5,7,4,3,6,6,6,10,4,6,4,7,5,5,8,4,7,3,4,4,5,7,8,4,6,8,4,4,9,9,7,6,4,7,5,5,8,4,7,3,4,4,5,7,8,4,6,8,4,4,9,9,7,9,2,8,0,4,3,3,6,5,3,1,7,8,4,3,4,4,3,4,3,7,5,9,2,8,0,4,3,3,6,5,3,1,7,8,4,3,4,4,3,4,3,7,5,7,5,3,2,6,8,2,2,10,1,6,3,5,4,7,7,8,9,8,9,8,9,7,5,3,2,6,8,2,2,10,1,6,3,5,4,7,7,8,9,8,9,8,9,5,5,3,3,3,4,6,2,6,2,3,1,9,4,6,9,1,5,5,5,8,4,5,5,3,3,3,4,6,2,6,2,3,1,9,4,6,9,1,5,5,5,8,4,4,7,4,11,6,8,4,6,4,5,7,6,2,5,8,6,3,4,6,5,5,7,4,7,4,11,6,8,4,6,4,5,7,6,2,5,8,6,3,4,6,5,5,7,6,6,2,6,4,10,4,4,8,4,6,10,3,3,7,6,10,9,2,8,4,6,6,6,2,6,4,10,4,4,8,4,6,10,3,3,7,6,10,9,2,8,4,6,8,5,7,4,5,7,5,4,2,4,6,6,4,5,7,3,5,9,7,2,5,8,8,5,7,4,5,7,5,4,2,4,6,6,4,5,7,3,5,9,7,2,5,8,5,3,9,3,5,5,3,8,7,9,1,2,5,12,9,4,6,7,10,1,8,6,5,3,9,3,5,5,3,8,7,9,1,2,5,12,9,4,6,7,10,1,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,4,10,6,7,3,8,13,5,5,6,5,7,5,8,5,13,7,7,3,5,7,5,4,10,6,7,3,8,13,5,5,6,5,7,5,8,5,13,7,7,3,5,7,5,3,6,6,6,6,8,5,7,13,3,10,7,9,8,2,5,9,7,3,2,4,5,3,6,6,6,6,8,5,7,13,3,10,7,9,8,2,5,9,7,3,2,4,5,7,7,5,7,8,4,5,8,2,6,5,6,11,5,5,5,13,7,7,9,8,6,7,7,5,7,8,4,5,8,2,6,5,6,11,5,5,5,13,7,7,9,8,6,3,5,5,2,10,4,3,8,4,7,4,7,8,7,5,4,6,6,7,5,9,3,3,5,5,2,10,4,3,8,4,7,4,7,8,7,5,4,6,6,7,5,9,3,5,6,4,3,6,8,4,5,8,7,10,5,6,4,3,7,3,6,1,6,7,6,5,6,4,3,6,8,4,5,8,7,10,5,6,4,3,7,3,6,1,6,7,6,7,4,6,2,4,9,5,7,7,4,3,6,4,4,7,4,4,3,6,5,5,6,7,4,6,2,4,9,5,7,7,4,3,6,4,4,7,4,4,3,6,5,5,6,3,4,6,5,2,4,7,4,10,5,11,4,5,5,5,5,6,8,6,7,8,5,3,4,6,5,2,4,7,4,10,5,11,4,5,5,5,5,6,8,6,7,8,5,3,5,7,4,3,5,5,3,1,5,5,6,5,6,9,4,6,6,4,6,8,5,3,5,7,4,3,5,5,3,1,5,5,6,5,6,9,4,6,6,4,6,8,5,4,1,9,2,4,3,5,5,5,5,5,4,3,7,6,7,4,6,9,4,5,9,4,1,9,2,4,3,5,5,5,5,5,4,3,7,6,7,4,6,9,4,5,9,3,4,7,3,2,5,4,2,3,6,4,7,7,9,4,5,6,8,3,4,4,6,3,4,7,3,2,5,4,2,3,6,4,7,7,9,4,5,6,8,3,4,4,6,8,6,8,4,4,3,4,5,4,5,4,4,5,4,6,4,8,6,5,12,7,6,8,6,8,4,4,3,4,5,4,5,4,4,5,4,6,4,8,6,5,12,7,6,3,8,5,2,10,4,8,7,7,7,4,6,9,6,8,4,6,7,2,7,10,8,3,8,5,2,10,4,8,7,7,7,4,6,9,6,8,4,6,7,2,7,10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,2,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,1,2,0,1,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"extension":{"px":{"infofile":"BE0101","tableid":"TAB5934","decimals":0}}}}