Solution: Longest Common Subsequence
Explore how to solve the longest common subsequence problem by applying dynamic programming techniques. Understand the naive recursive method and then optimize it using memoization with a 2D table to reduce time complexity to O(m x n). This lesson helps you practice efficient algorithm design to handle string comparison problems effectively.
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:
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str1.length