For 1 and 2, consider the pattern "AAARR" and the following text: LOOK, IFHEWASDYING, HEWOULDN'T BOTHERTOCARVE'AAAAARRRGH'.HE'DJUSTSAYIT! 1. Show the KMP's failure function for the pattern. 2. Give the trace of the KMP algorithm and circle the characters in the pattern that gets compared with the text.

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For 1 and 2, consider the pattern "AAARR" and the following text:
LOOK, IFHEWASDYING, HEWOULDN'T BOTHERTOCARVE'AAAAARRRGH'.HE'DJUSTSAYIT!
1. Show the KMP's failure function for the pattern.
2. Give the trace of the KMP algorithm and circle the characters in the pattern that gets compared
with the text.
Transcribed Image Text:For 1 and 2, consider the pattern "AAARR" and the following text: LOOK, IFHEWASDYING, HEWOULDN'T BOTHERTOCARVE'AAAAARRRGH'.HE'DJUSTSAYIT! 1. Show the KMP's failure function for the pattern. 2. Give the trace of the KMP algorithm and circle the characters in the pattern that gets compared with the text.
Expert Solution
Step 1: Introducing Knuth Morris Pratt ( KMP ) algorithm :

The Knuth-Morris-Pratt (KMP) algorithm is a string searching algorithm used to find occurrences of a pattern within a larger text efficiently. It is particularly useful when you need to search for a specific pattern in a text and minimize unnecessary character comparisons.

The algorithm achieves this by precomputing a "failure function" or "partial match table," which helps determine where to start comparing characters in the text with the pattern. 

We will apply KMP algorithm to the given pattern "AAARR" and the given text, "LOOKIFHEWASDYING,HEWOUNDN'TBORTHERTOCARVE'AAAAARRRGH'.HE'DJUSTSAYIT!"


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