Solution: Russian Doll Envelopes

Explore the solution to the Russian Doll Envelopes problem by mastering sorting strategies and binary search techniques. This lesson guides you through sorting envelopes by width and height, then applying the longest increasing subsequence approach on heights using binary search to efficiently find the maximum nested envelopes.

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Statement
Solution
- Time complexity
- Space complexity

Statement

You are given a 2D array of integers, envelopes, where each element envelopes[i] = [w_i, h_i] 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:

$1\leq$ envelopes.length $\leq 10^3$ ...