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* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
65 lines
1.5 KiB
Python
65 lines
1.5 KiB
Python
"""
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Counting Sundays
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Problem 19
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You are given the following information, but you may prefer to do some research
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for yourself.
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1 Jan 1900 was a Monday.
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Thirty days has September,
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April, June and November.
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All the rest have thirty-one,
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Saving February alone,
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Which has twenty-eight, rain or shine.
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And on leap years, twenty-nine.
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A leap year occurs on any year evenly divisible by 4, but not on a century
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unless it is divisible by 400.
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How many Sundays fell on the first of the month during the twentieth century
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(1 Jan 1901 to 31 Dec 2000)?
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"""
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def solution():
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"""Returns the number of mondays that fall on the first of the month during
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the twentieth century (1 Jan 1901 to 31 Dec 2000)?
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>>> solution()
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171
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"""
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days_per_month = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]
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day = 6
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month = 1
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year = 1901
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sundays = 0
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while year < 2001:
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day += 7
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if (year % 4 == 0 and not year % 100 == 0) or (year % 400 == 0):
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if day > days_per_month[month - 1] and month != 2:
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month += 1
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day = day - days_per_month[month - 2]
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elif day > 29 and month == 2:
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month += 1
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day = day - 29
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else:
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if day > days_per_month[month - 1]:
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month += 1
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day = day - days_per_month[month - 2]
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if month > 12:
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year += 1
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month = 1
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if year < 2001 and day == 1:
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sundays += 1
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return sundays
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if __name__ == "__main__":
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print(solution())
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