a. suppose a search tree is a binary tree and

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a. suppose a search tree is a binary tree and reaching the goal requires eight productions. what is the largest number of nodes that could be in the tree when the goal state is reached if the tree is constructed with a breadth-first manner?b. explain how the total number of nodes considered during the search could be reduced by conducting two searches at the same time—one beginning at the initial state while the other searches backward from the goal— until the two meet. (assume that the search tree recording the states found in the backward search is also a binary tree and that both searches progress at the same rate.
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