Question
The Knuth-Morris-Pratt (KMP) algorithm improves upon the
Naive approach by avoiding unnecessary re-comparisons. It achieves this by:Solution
The KMP algorithm preprocesses the pattern to build an LPS array (also known as a prefix function or failure function). This array tells the algorithm how many characters to shift the pattern when a mismatch occurs, based on the longest proper prefix of the pattern that is also a suffix of the current matched portion. This avoids re-comparing characters that are known to match.
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