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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.
Implement a linear-expected-time algorithm for selecting the k th smallest element Algorithm description 1. If |S| = 1, then k = 1 and return the element in S as the an
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Asymptotic notation Let us describe a few functions in terms of above asymptotic notation. Example: f(n) = 3n 3 + 2n 2 + 4n + 3 = 3n 3 + 2n 2 + O (n), as 4n + 3 is of
Here is a diagram showing similarities between documents; this is an actual set of physics lab assignments from a large university. Each node (square) in the graph is a doc
/* The program accepts matrix like input & prints the 3-tuple representation of it*/ #include void main() { int a[5][5],rows,columns,i,j; printf("enter the order of
a. Determine the result of inserting the keys 4,19, 17, 11, 3, 12, 8, 20, 22, 23, 13, 18, 14, 16, 1, 2, 24, 25, 26, 5 in order to an empty B-Tree of degree 3. Only draw the configu
how to draw a 5 inch square on the screen using * symbol
what''s queue ?
CMY Model The cyan, magenta, yellow (CMY) colour model is a subtractive model based on the colour absorption properties of paints and inks. As such it has become the standard
Q. What is the need of using asymptotic notation in the study of algorithm? Describe the commonly used asymptotic notations and also give their significance.
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