Nim
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Draw the complete game tree for nim in which the initial position consists of two piles, one containing three tokens and the other containing two tokens. Assume that the last player to take a token wins. Assign values to all vertices so that the resulting tree is analogous to Figure 9.9 .2 . Will the first or second player, playing an optimal strategy, always win? Describe an optimal strategy for the winning player. | Numerade
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