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Efficient DFA Construction for KMP Search Pattern

Learn about the DFA construction process for KMP search pattern matching algorithm step by step. Understand how to build the DFA for efficient string searching.

yoshio-klein
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Efficient DFA Construction for KMP Search Pattern

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  1. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b a b 0

  2. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 0 a 1 b 0 b a 0 1

  3. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 1 a 1 0 0 1 a 1 2 b 0 0 b a a 0 1 2 b

  4. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 1 a 1 0 2 a b 0 2 0 1 2 a 1 2 2 b 0 0 3 a b a a b 0 1 3 2 b

  5. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 1 a 1 0 2 a b 0 2 0 1 2 3 3 a b a 1 0 a 1 2 2 4 b 0 0 3 0 a b a a a b 0 1 3 4 2 b b

  6. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 1 a 1 0 2 a b 0 2 0 1 2 3 4 3 a b a 1 0 a 1 2 2 4 5 4 a b a a 2 0 b 0 0 3 0 0 b a b a a a a b 0 1 3 4 2 5 b b

  7. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 1 a 1 0 2 a b 0 2 0 1 2 3 4 5 3 a b a 1 0 a 1 2 2 4 5 6 4 a b a a 2 0 b 0 0 3 0 0 3 5 a b a a a 2 3 b a b a a a a b a 0 1 3 4 2 5 6 b b b

  8. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 1 a 1 0 2 a b 0 2 0 1 2 3 4 5 6 3 a b a 1 0 a 1 2 2 4 5 6 2 4 a b a a 2 0 b 0 0 3 0 0 3 7 5 a b a a a 2 3 6 a b a a a b 3 2 b a b a a a a b b a 0 1 3 4 7 2 5 6 b b b a

  9. DFA Construction for KMP Search Pattern j pattern[1..j] X next a a b a a a b b 0 0 0 1 a 1 0 2 a b 0 2 0 1 2 3 4 5 6 7 3 a b a 1 0 a 1 2 2 4 5 6 2 4 4 a b a a 2 0 b 0 0 3 0 0 3 7 8 5 a b a a a 2 3 6 a b a a a b 3 2 7 a b a a a b b 0 4 b a a b a a a a b b a b 0 1 3 4 7 2 5 6 8 b b b a

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