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Solution: Longest Common Subsequence

Explore the solution to the longest common subsequence problem using dynamic programming. Learn how memoization and a 2D table optimize recursive approaches, reducing time complexity from exponential to polynomial and enabling efficient subsequence length calculation.

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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