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Solution: Russian Doll Envelopes

Explore the Russian Doll Envelopes problem and learn to determine the maximum number of envelopes that can nest inside each other. Understand how to sort envelopes by width and height and apply a binary search-based longest increasing subsequence approach to efficiently solve this classic interview pattern.

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:

  • 11\leq envelopes.length 103\leq 10^3 ...