Solution: Longest Common Subsequence
Explore the longest common subsequence problem by implementing a top-down dynamic programming approach. Understand how memoization stores intermediate results in a 2D table to optimize recursive calls, improving time complexity to O(m×n). This lesson equips you to efficiently solve this classic problem using dynamic programming concepts.
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