Question: In a leaf - balanced binary tree, any node with 2 children has the same number of leaves in the sub - trees rooted at

In a leaf-balanced binary tree, any node with 2 children has the same number of leaves in the sub-trees rooted at both children. A full binary tree is leaf-balanced; below are two other examples. (20 points) Let n be the number of nodes in the tree. Prove by induction on n that the number of leaf nodes in a leaf-balanced binary tree is always a power of 2.

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