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Suppose a binary tree has leaves ??1,??2, , ???? at depths ??1, ??2, , ????, respectively. Prove that ? 2 ????? ? 1 ?? ??=1

Suppose a binary tree has leaves ??1,??2, , ???? at depths ??1, ??2, , ????, respectively. Prove that ? 2 ????? ? 1 ?? ??=1 and determine when the equality is true.

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