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The following game is called Tri-Tic-Tack-Toe. How to play: Player X and Player O alternately put their symbol in an empty circle on their turn.

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The following game is called Tri-Tic-Tack-Toe. How to play: Player X and Player O alternately put their symbol in an empty circle on their turn. Player X goes first. Each player can only take four turns. Whoever makes three in a row on any straight line wins the game. If the game ends with no lines of three in a row player O wins. 1. State whether the first player can always win or the second player can always win. If the first player can always win, state the first move that he or she needs to make. If the second player can always win, state the first move he or she must make in response to every opening move. Hint: The game board for Tri-Tic-Tack-Toe has a rotational symmetry of 120. Therefore, there are only 3 different opening moves. Analyze all three cases by printing out the Tri-Tic- Tack-Toe template on the course web page (you do not have to hand in the template with your assignment). If both players make the best possible moves during game play then (circle one): The 1st player wins. (mark an X on the game board above, represeting the correct move) The 2ad player wins. (mark an O in each game board below representing the correct response to every opening move

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