Solution to CLRS Problem 17-2 (Making Binary Search Dynamic)
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This post explores the solution for Problem 17-2 from Introduction to Algorithms (CLRS).
It introduces a data structure that supports dynamic insertions into a sorted set while maintaining efficient search times. The structure decomposes the set of $n$ elements into multiple sorted arrays based on the binary representation of $n$. The post provides a detailed analysis proving that this approach achieves $O(\lg^2 n)$ worst-case search time and $O(\lg n)$ amortized insertion time.
This article was originally published on my CSDN blog.