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If Alice can win, Bob should attempt to force a draw. If Bob can win, Alice should attempt to force a draw. So long as either player can force a draw, the game must end in a draw. Either player can indeed force a draw by making every line unable to be completed. You can use the "L" pieces along the edge of the board to make a 1x2 or 2x1 "nook" of empty space ...


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