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Implementing Knuth-Morris-Pratt Algorithm for Efficient Pattern Matching

This guide explores the Knuth-Morris-Pratt (KMP) algorithm, a foundational technique for string matching over binary alphabets. Learn how to build a Deterministic Finite Automaton (DFA) from a given pattern and apply it to search through a text efficiently. By utilizing the KMP algorithm, you can optimize your string matching operations, reducing time complexity and improving performance in applications such as text processing and data retrieval. Step-by-step examples illustrate the construction of the DFA and its execution against diverse input text.

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Implementing Knuth-Morris-Pratt Algorithm for Efficient Pattern Matching

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  1. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  2. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  3. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  4. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  5. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  6. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  7. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  8. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  9. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  10. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  11. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

  12. Knuth-Morris-Pratt • KMP algorithm. [over binary alphabet] • Build DFA from pattern. • Run DFA on text. Search Text a a a b a a b a a a b a a b a a a a a b a a a a a b a a a b a a a a a b a b 0 1 3 4 2 5 6 accept state b b b

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