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Answers for “基本情况 f(1) = f(2) = 1 在这个分析中起什么作用?”

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By summing the number of nodes across all levels, the total size of the tree is estimated. The video uses the finite geometric series example 20+21+⋯+26=27−12^0+2^1+\cdots+2^6=2^7-1 to show that the sum is dominated by the highest-order term.

Conditions: Time cost is measured by the number of recursive calls.; An upper bound estimation using a perfect binary tree is adopted.; The sum starts from 202^0 with a common ratio of 2.