Solved LCS with Dynamic Programming in Python

Day 44 of #100DaysOfCode, solving "Longest Common Subsequence (LCS)." This problem requires finding the longest sequence common to two strings, even if characters are separated. My solution uses Dynamic Programming (DP), which breaks the problem into smaller, overlapping subproblems. DP Table: I built a table (optimized to use only the previous row) to store the length of the LCS found so far. The Rule: If characters match, the LCS length increases by 1 (coming from the diagonal cell). If they don't match, the length is the maximum of the two adjacent cells. This systematic approach guarantees the optimal result, solving the problem in O(m * n) time complexity. #Python #DSA #Algorithms #DynamicProgramming #LCS #100DaysOfCode #ProblemSolving

  • No alternative text description for this image

To view or add a comment, sign in

Explore content categories