Solution: Longest Common Subsequence
Explore the dynamic programming solution for finding the longest common subsequence between two strings. Understand the top-down memoization technique that reduces redundant calculations, improves performance, and manages time and space complexities effectively. This lesson helps you implement and analyze an optimized algorithm for a classic problem in coding interviews.
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:
-
str1.length