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1. a) Suppose that a binary tree of height h has n nodes. Show that h...

1. a) Suppose that a binary tree of height h has n nodes. Show that h ≥ log2 (n+2) - 1.

b) Using the formula in part (a) find the minimum height if a binary tree with 1000 nodes.

c) What is the maximum possible height of a binary tree with 1000 nodes?

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