Let n ≥ 1 be an odd integer. Alice and Bob play the following game, taking alternating turns, with Alice playing first. The playing area consists of n spaces, arranged in a line. Initially all spaces are empty. At each turn, a player either

– places a stone in an empty space, or

– removes a stone from a nonempty space s, places a stone in the nearest empty space to the left of s (if such a space exists), and places a stone in the nearest empty space to the right of s (if such a space exists). Furthermore, a move is permitted only if the resulting position has not occurred previously in the game. A player loses if he or she is unable to move. Assuming that both players play optimally throughout the game, what moves may Alice make on her first turn?

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TopNewesti wanna know from where i should start thinking then the proper solution ???

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I am not being helpful

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just commenting is helpful it means someone pay attention :)

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Ha ha. I pay attention to most discussions with an interesting title. Good luck

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