Mediumdynamic-programming

Longest Common Subsequence

TIME: O(m * n)
SPACE: O(m * n)

Problem Statement

Given two strings text1 and text2, return the length of their longest common subsequence. A subsequence is a new string generated from the original string with some characters deleted without changing order.

Real Engineering Applications

In production systems, this concept directly maps to caching index layers, route lookups optimizations, compiler scope parsing validations, and multi-thread dependency schedulers.

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