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1. A string s is said to be periodic with a period α, if s is αk for some k>2. (Note that αk is the string formed by concatenating k times.) A DNA sequence s is called a tandem repeat if it is periodic. Given a DNA sequence s, determine if it is periodic, and if so, the values for α and k. Note that there could be more than one period for a periodic string. In such a case, you need to report the shortest period.
2. A non-empty string β is called a repeat prefix of a string s if ββ is a prefix of s. Give a linear time algorithm to find the longest repeat prefix of s.
Hint: Think of using lca queries.
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1. What is an expert system and where are they needed? 2. What are the major issues involved in building an expert system?
Q. Illustrate the result of running BFS and DFS on the directed graph given below using vertex 3 as source. Show the status of the data structure used at each and every stage.
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