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. 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.

. 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.

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
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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.

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