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MathNet 2001 — Part 01 Question 45

Math Olympiad Vault · MathNet 2001 — Part 01

Question 45

A convicted person is released when he reaches the end of a staircase with 100 steps. But he cannot advance as he pleases, since he is obliged to go up a single step each day of the odd-numbered months and to go down one step each day of the even-numbered months. It starts on January 1, 2001. What day will he be released? What day would you be released if the staircase had 99 steps?