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Solution: Russian Doll Envelopes

Explore the Russian Doll Envelopes problem and understand how to determine the maximum number of envelopes that can be nested. Learn to sort envelopes by width and height and apply binary search to find the longest increasing subsequence by height. This lesson teaches the correct combination of sorting and binary search techniques to solve nesting problems efficiently, with insights on 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 ...