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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 TO READ TWO NUMBERS AND PRINT THE LOWER VALUE
Q. The degree of a node is defined as the number of children it has. Shear show that in any binary tree, the total number of leaves is one more than the number of nodes of degree 2
disadvantage on duality principal
You are given two jugs, a 4-gallon one and a 3-gallon one. Neither has any measuring marker on it. There is a tap that can be used to fill the jugs with water. How can you get exac
Give example of assertion and abstract data type For illustration, consider Natural ADT whose carrier set is the set of non-negative integers and whose operations are the usual
Merge sort is a sorting algorithm which uses the basic idea of divide and conquers. This algorithm initially divides the array into two halves, sorts them separately and then merge
to find binary value of an integer
Prim's algorithm employs the concept of sets. Rather than processing the graph by sorted order of edges, this algorithm processes the edges within the graph randomly by building up
3. A function to convert a complex number in algebraic form to a complex number in phasor form
Data array A has data series from 1,000,000 to 1 with step size 1, which is in perfect decreasing order. Data array B has data series from 1 to 1,000,000, which is in random order.
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