2011 OIM Problems/Problem 1
Problem
The number 2 is written on the board. Ana and Bruno play alternately, starting with Ana. Each one in turn replaces the written number with the one obtained by applying exactly one of the following operations: multiply it by 2, multiply it by 3, or add 1. The first person to obtain a result greater than or equal to 2011 wins. Find which if they both have a winning strategy and describe said strategy.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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