Euler 019

You are given the following information

  • 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)?
Answer: 171

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