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Solution: Russian Doll Envelopes

Explore how to solve the Russian Doll Envelopes problem by sorting envelopes and using a binary search approach to find the longest increasing subsequence of heights. Understand the step-by-step method to nest envelopes by width and height while optimizing time and space complexity.

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Statement

You are given a 2D array of integers, envelopes, where each element envelopes[i] = [wi, hi] represents the width and height of an envelope. An envelope can fit inside another if and only if its width and height are strictly smaller than the width and height of the other envelope. The task is to determine the maximum number of envelopes that can be nested inside each other, similar to Russian dollsRussian dolls, also known as stacking dolls or nesting dolls, are a set of wooden dolls of decreasing size placed one inside another. .

Constraints:

  • 1≤1\leq envelopes.length ≤103\leq 10^3 ...