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A Beautifully Simple Number Theory Problem (2025 Indian Math Olympiad)
- Alice is attempting to leave only one number on the board.
- She can remove two integers with a sum that is even and replace them with their average.
- For n=3, Alice is unable to further reduce the numbers.
- For n=4, there are only two choices for the first move, neither of which results in a single integer on the board.
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