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Knuth-Morris-Pratt

Knuth-Morris-Pratt

Knuth-Morris-Pratt

Knuth-Morris-Pratt

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

Search Text

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accept state

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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

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a

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1

3

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2

5

6

accept state

b

b

b

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

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

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a

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a

a

a

b

a

b

0

1

3

4

2

5

6

accept state

b

b

b

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

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

- 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

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

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a

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a

b

a

a

a

a

a

b

a

b

0

1

3

4

2

5

6

accept state

b

b

b

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

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a

b

a

a

a

a

a

b

a

b

0

1

3

4

2

5

6

accept state

b

b

b

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

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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

- 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

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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

- 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

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a

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b

a

b

0

1

3

4

2

5

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accept state

b

b

b

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