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Solution: Longest Common Subsequence

Explore the concept of the longest common subsequence problem and understand how to solve it using a top-down dynamic programming approach. Learn to optimize recursive solutions by storing intermediate results to improve performance and reduce complexity.

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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