In the Knuth-Morris-Pratt (KMP) algorithm, what does the failure function or prefix table store?

  • It stores the count of occurrences of each prefix in the pattern.
  • It stores the index of the last occurrence of each character in the pattern.
  • It stores the length of the longest proper suffix that is also a proper prefix for each prefix of the pattern.
  • It stores the positions where mismatches occur in the pattern.
The failure function or prefix table in the Knuth-Morris-Pratt (KMP) algorithm stores the length of the longest proper suffix that is also a proper prefix for each prefix of the pattern. This information is crucial for efficiently skipping unnecessary comparisons when a mismatch occurs during pattern matching.
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