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

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Page 1: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

a a b a a a

a a a b a a

Search Text

b a a a b

accept state

Page 2: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

Page 3: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

Page 4: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

Page 5: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

Page 6: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

Page 7: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

Page 8: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

a a b a a a

Page 9: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

a a b a a a

Page 10: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

a a b a a a

Page 11: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

a a b a a a

Page 12: Knuth-Morris-Pratt KMP algorithm. [over binary alphabet] n Build DFA from pattern. n Run DFA on text. 34 aa 56 a 01 aa 2 b b b b b b a aabaaa aaabaa Search

Knuth-Morris-Pratt

KMP algorithm. [over binary alphabet] Build DFA from pattern. Run DFA on text.

3 4a a

5 6a

0 1a a

2b

bb

b

b

b

a

accept state

a a b a a a

a a a b a a

Search Text

b a a a b

a a b a a a

a a b a a a


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