Problem 19: Counting Sundays

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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)?

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