Use of Longest Common Subsequence using Recursion and Dynamic Programming Test
Recursion is one of the common ways to solve the LCS problem. The idea is to break down the problem into smaller subproblems and solve them recursively. Specifically, we can consider the last characters of the two strings. There are three possible cases: ->The last characters of both strings match: In this case, the LCS length can be obtained by adding 1 to the LCS of the two strings with their last characters removed. ->The last characters of both strings do not match: In this case, we have two subproblems, finding the LCS of the first string with the second string with their last characters removed, and finding the LCS of the second string with the first string with their last characters removed. The LCS length is then the maximum of these two subproblems. ->One of the strings is empty: In this case, the LCS length is 0.
