Question: A simple game using a game board (containing a linear path of cells) is played as follows (for 2 players): the game starts with both
A simple game using a game board (containing a linear path of cells) is played as follows (for 2 players): the game starts with both players not on that board (or at position 0 of the board if you prefer). In turn, the players can either advance by one step or two steps. However, if one of the cells that is stepped into is occupied by the other player, the step is made to the next cell (which is free). For example, if Player A is at position 1 and Player B is at position 2, Player A can go to position 3 (as one step) or at position 4 (as 2 steps). The game is played in two rounds only: Player A plays, then Player B plays, then Player A plays, and finally Player B plays. The winner is the one who has advanced the most at the end, but who is not in a position larger than or equal to 6. Draw a game graph for this game.
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