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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.
Write an algorithm for multiplication of two sparse matrices using Linked Lists.
Q. By giving an example show how multidimensional array can be represented in one the dimensional array.
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Explain an efficient way of storing a sparse matrix in memory. A matrix in which number of zero entries are much higher than the number of non zero entries is called sparse mat
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