algorithm - Knuth-Morris-Pratt Fail table -


I am studying for an exam and I am looking at the Nun-Morris-Prat algorithm. What is the test table and DFA construction in the exam? I understand DFA construction, but I do not really understand how to make the failed table.

If I have an example of a pattern "abababc" then how do I create an unsuccessful table from it? The solution is:

Failed Table:

0 1 2 3 4 5 6 7

0 0 0 1 2 3 4 0

But how do I get it? No code understands how to get it.

In the unsuccessful table for the value of the cell i s is defined as: take the subcodes of s which is located on i , and the value in cell is the longest of this sub-base Appropriate (not complete string) is the length of Sufi, which is equal to its prefix of the same length.

Let's take your example and 6 . The length of the sub Code of s is 6 ababab . It has 6 suffixes: baba , abab , bab , ab and b On the other hand, its proper prefixes are ababa , abab , aba , ab and a . It is now easy to see that similarities of prefixes are drought equivalent to abab and ab . Of these, now is abab and thus the value in cell 6 is its length - 4 .

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