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Solution: Russian Doll Envelopes

Explore the Russian Doll Envelopes problem by learning to sort envelopes and apply binary search to find the longest increasing subsequence of heights. This lesson helps you understand how to nest envelopes by comparing dimensions effectively, optimizing time complexity to O(n log n) and mastering key algorithmic techniques for coding interviews.

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 ...