Maths Olympiad Prep

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Number theory Difficulty 5.4 AIME, harder Find the answer

3. To correct the small discrepancy between the number of days in a year of the Gregorian calendar and an actual year, it has been suggested that the years exactly divisible by 4000 should not be leap years. Adjust the formula for the day of the week of a given date to take this correction into account.

A number or a short expression. Spacing and $ signs are ignored.

Solution

None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.