Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 32.4, Problem 8E
Program Plan Intro

To prove that δ(q,a)=δ(π[q],a) if q=m or P[q+1]a .

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Write an algorithm for addressing the subset-superset problem in string matching. That is, search a text with several strings, some of which are factors of others. do not return any strings that are factors of other test strings found in text (b) Repeat with text consisting of 100 appended copies of  and the test items    
3. 1. Prove that the naive string matching algorithm runs in time O(n) when all the characters in the pattern P are different. 4. We say that P occurs circularly in T if we can partition P to two strings A, B such that A is a suffix of T and B is a prefix of T. Example: T = abaacacaab, P = aabab. P occurs circularly in T because of the partition A = aab and B = ab. Let T be a string of length n and P be a string of length m < n. Design an O(n) time algorithm for deciding whether P occurs circularly in T.
Let M be a FSM with n states. Let p and q be distinguishable states of M and let x be a shortest string distinguishing p and q. How long can the string x be as a function of n?
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