Give an example of a text of length n and a pattern of length m that constitutes a worst-case…

Give an example of a text of length n and a pattern of length m that constitutes a worst-case input for the brute-force string-matching algorithm. Exactly how many character comparisons will be made for such input? In solving the string-matching problem, would there be any advantage in comparing pattern and text characters right-to-left instead of left-to-right? Consider the problem of counting, in a given text, the number of substrings that start with an A and end with a B. For example, there are four such substrings in CABAAXBYA.

a. Design a brute-force algorithm for this problem and determine its efficiency class.

b. Design a more efficient algorithm for this problem. [Gin04]

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