You are given the following information, but you may prefer to do some research for yourself.
- 1 Jan 1900 was a Monday.
- Thirty days has September, April, June and November. All the rest have thirty-one, Saving February alone, Which has twenty-eight, rain or shine. And on leap years, twenty-nine.
- A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.
How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)
翻译:
现提供你例如以下信息,只是你可能希望自己印证一下。
- 1900年1月1日是星期一
- 除了二月外。四月,六月,九月,十一月,都有30天,其它月份都有31天。
- 二月在平年有28天,在闰年有29天。
- 能被4整除的年份是闰年。只是每一个世纪年(??00)必须能被400整除才是闰年。
请问,在20世纪中(从1901年1月1日到2000年12月31日)总共同拥有多少个月份的第一日是星期天?
def f(year,month): tmpDay=1 if month == 1 or month == 2: month += 12 year-=1 if ((year<1752) or (year==1752 and month<9) or (year==1752 and month==9 and tmpDay<3)): a = (tmpDay + 2*month + 3*(month+1)/5 + year + year/4 +5) % 7; else: a = (tmpDay + 2*month + 3*(month+1)/5 + year + year/4 - year/100 + year/400)%7 return aresu=0for i in range(1901,2001): for j in range(1,13): if f(i,j)==1 : resu+=1print resu
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