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2. Consider an AVL tree of height h that contains the minimum number of nodes. (a) Form a recurrence relation for the number of half

2. Consider an AVL tree of height h that contains the minimum number of nodes. (a) Form a recurrence relation for the number of half nodes H(h) in this tree, where h is the height of the tree (a half node has exactly one child). (b) Calculate the number of half nodes in an AVL tree of this kind with height 12.

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