Using Rabin-Karp string searching algorithm, walk through the steps of finding how many times the string “aba" occurs in the string "abdabababd". Now, re-calculating the hash values, take modulus with respect to 3 and 7. For hashing with modulo 3, will any collision (the stings are different but the hash is same) occur between any sub-string of the text with the pattern? Can you come up with an efficient way to reduce the probability of this collision (check the hash values for modulo 3 and modulo 7)?

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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1. Using Rabin-Karp string searching algorithm, walk through the steps of finding how many times the
string “aba" occurs in the string “abdabababd".
Now, re-calculating the hash values, take modulus with respect to 3 and 7. For hashing with modulo
3, will any collision (the stings are different but the hash is same) occur between any sub-string of
the text with the pattern? Can you come up with an efficient way to reduce the probability of this
collision (check the hash values for modulo 3 and modulo 7)?
Transcribed Image Text:1. Using Rabin-Karp string searching algorithm, walk through the steps of finding how many times the string “aba" occurs in the string “abdabababd". Now, re-calculating the hash values, take modulus with respect to 3 and 7. For hashing with modulo 3, will any collision (the stings are different but the hash is same) occur between any sub-string of the text with the pattern? Can you come up with an efficient way to reduce the probability of this collision (check the hash values for modulo 3 and modulo 7)?
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