Counting Sundays

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https://projecteuler.net/problem=19


Counting Sundays

Problem 19

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)?



简单化处理,直接从1901年往上加日期,而不是写一个函数,直接计算时间,那样有点麻烦,虽然比较通用,等问题难了的话,再写那个函数吧。

def numMonth():    count = 0    days = 366 - 31  #1900年12月1号    for i in range(1901,2001):        for j in range(1,13):            days += getDays(i,j - 1)  #把上个月的天数加上去            if isSunday(days):                count += 1                print(i,j)    return countdef getDays(year,month):    if month in (0,1,3,5,7,8,10): #0代表的是上一年的12月份        return 31    elif month in (4,6,9,11):        return 30    elif year % 400 == 0:        return 29    elif year % 4 == 0:        return 29    else:        return 28def isSunday(days):    if days % 7 == 0:        return True    else:        return Falseprint(numMonth())                    



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