Reconstructing Strings from LCP Matrix with LeetCode Challenge

Day 87: Reconstructing Strings from LCP 🔍 Problem 2573: Find the String with LCP Today’s challenge was a fascinating "reverse engineering" problem. Given a Longest Common Prefix (LCP) matrix, the goal was to reconstruct the original string—or determine if such a string even exists. The Strategy: • Greedy Character Assignment: I used the LCP matrix to group indices that must share the same character. If the LCP between two indices is greater than 0, they belong to the same character group. • Alphabet Constraint: Since we only have 26 lowercase letters, I checked if the number of required unique groups exceeded our available alphabet. • Verification via DP: Generating a string isn't enough; you have to prove it matches the original matrix. I built a 2D DP table to calculate the actual LCP of my reconstructed string and compared it against the input grid. • The "LCP Property": Used the relation dp[i][j] = 1 + dp[i+1][j+1] (if characters match) to verify the matrix in O(N²). It’s one thing to build a solution that looks right, but verifying it against the constraints is where the real logic happens. Another day of sharp problem-solving in the books. 🚀 #LeetCode #Java #DynamicProgramming #StringAlgorithms #DailyCode

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