Column-Wise Common Prefix Comparison in O(n×m) Time

Column-Wise Comparison: Finding Longest Common Prefix in O(n×m) Instead of comparing strings pairwise, iterate character-by-character across all strings simultaneously. For each position, check if all strings have matching characters. First mismatch or string exhaustion? Return accumulated prefix. This column-wise approach processes each character exactly once. Why Column-Wise Wins: Early termination on first mismatch avoids processing remaining characters. Best case (common prefix is short): O(m) where m = prefix length. Worst case: O(n×k) where k = shortest string length. Time: O(n×m) where n = string count, m = min string length | Space: O(1) #StringAlgorithms #EarlyTermination #CommonPrefix #Python #AlgorithmOptimization #SoftwareEngineering

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