Question: Problem 3 . ( 1 0 points ) a . Consider a balanced game tree with branching factor of 3 and exactly 4 0 nodes.

Problem 3.(10 points)
a. Consider a balanced game tree with branching factor of 3 and exactly 40 nodes. Sup-
pose that this tree would be maximally pruned by alpha-beta pruning, based on the
evaluation of its leaf nodes. How many nodes would be pruned in this situation?
b. Suppose you have an oracle, OM(s), that correctly predicts the opponents move in
any state. Using this, formulate the definition of a game as a (single-agent) search
problem. What algorithm could be used to find an optimal move?

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