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

Consider an AVL tree of height h that contains the minimum number of nodes.

(a) Form a recurrence relation for the number of leaf nodes L(h) in this tree, where h is the tree height (a leaf node has exactly zero children).

(b) Calculate the minimum number of leaf nodes in an AVL tree of height 12

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