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Doomsday rule

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The Doomsday algorithm for calculating the day of the week makes use of the fact that in each year,

 4 April (4/4)
 6 June  (6/6)
 8 August (8/8)
10 October (10/10) and
12 December (12/12)

are all the same day of the week. This day of the week is called Doomsday. The algorithm also defines 9/5 and 7/11 and their reverses to be Doomsday.

The Doomsday algorithm was invented by John Horton Conway.

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