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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.
The worst case of quick sort has order O(n 2 )
Hear is given a set of input representing the nodes of a binary tree, write a non recursive algorithm that must be able to give the output in three traversal orders. Write down an
a) Run your program for α = 0.05, 0.5, and 0.95. You can use n = 30, and W = 10. What is impact of increasing value of α on connectivity of G'? To answer this question, for each v
This notation gives an upper bound for a function to within a constant factor. Given Figure illustrates the plot of f(n) = O(g(n)) depend on big O notation. We write f(n) = O(g(n))
Build a class ?Node?. It should have a ?value? that it stores and also links to its parent and children (if they exist). Build getters and setters for it (e.g. parent node, child n
define abstract type
Variable length codes (Niveau I) Code the following sequence of integers (2, 4, 2, 8, 3, 1, 4, 5, 13, 2) with • unary codes • ? codes • d codes • Rice codes (for a suitable l) and
Explain binary search with an example
1. Apply the variant Breadth-First Search algorithm as shown in Figure 2 to the attached graph. This variant is used for computing the shortest distance to each vertex from the sta
Using the cohen sutherland. Algorithm. Find the visible portion of the line P(40,80) Q(120,30) inside the window is defined as ABCD A(20,20),B(60,20),C(60,40)and D(20,40)
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