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Solution: Russian Doll Envelopes

Explore the solution to the Russian Doll Envelopes problem by understanding how to use sorting and binary search to find the longest increasing subsequence of envelope heights. Learn the steps to sort envelopes by width and height, apply binary search to manage subsequences, and calculate the maximum number of envelopes that can be nested.

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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 ...