The perfect square game is played as follows: player 1 says a positive integer, then player 2 says a strictly smaller positive integer, and so on. The game ends when someone says 1; that player wins if and only if the sum of all numbers said is a perfect square. What is the sum of all n such that, if player 1 starts by saying n, player 1 has a winning strategy?
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very hard question.,..,...........
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