# I can't figure it out any help?

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?

Note by Ahmed Mahmoud
3 years, 2 months ago

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

- 3 years, 2 months ago

- 3 years, 2 months ago

just commenting is helpful it means someone pay attention :)

- 3 years, 2 months ago

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

- 3 years, 2 months ago

thanks

- 3 years, 2 months ago

No problem even tho i did nothing to help give you the answer

- 3 years, 2 months ago