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Solution: Longest Common Subsequence

Explore how to solve the longest common subsequence problem using dynamic programming in C++. Understand the top-down memoization method, optimize recursive solutions, and improve performance by storing subproblem results in a 2D table for efficient lookup.

Statement

Suppose you are given two strings. You need to find the length of the longest common subsequence between these two strings.

A subsequence is a string formed by removing some characters from the original string while maintaining the relative position of the remaining characters. For example, “abd” is a subsequence of “abcd”, where the removed character is “c”.

If there is no common subsequence, then return 0.

Constraints:

  • 11 \leq str1.length 500\leq 500
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