Suppose a binary tree has leaves l1, l2, , lM at depths d1, d2, , dM, respectively Prove that Mi 1 2di 1 and determine when the equality is true

Question: Suppose a binary tree has leaves l1, l2, . . . , lM at depths d1, d2, . . . , dM, respectively. Prove that

Suppose a binary tree has leaves l1, l2, . . . , lM at depths d1, d2, . . . , dM, respectively. Prove that ΣMi=1 2−di ≤ 1 and determine when the equality is true.

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