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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.
Determination of Time Complexity The RAM Model The random access model (RAM) of computation was devised through John von Neumann to study algorithms. In computer science,
omega notation definition?
Q. What do you understand by the term Binary Tree? What is the maximum number of nodes which are possible in a Binary Tree of depth d. Explain the terms given below with respect to
Write an algorithm in form of a flowchart that takes temperatures input over a 100 day period (once per day) and outputs the number of days when temperature was below 20C and numbe
N = number of rows of the graph D[i[j] = C[i][j] For k from 1 to n Do for i = 1 to n Do for j = 1 to n D[i[j]= minimum( d ij (k-1) ,d ik (k-1) +d kj (k-1)
The location of a node in a binary search tree is defined as a string such as LLRRL, which represents the node that you find by starting at the root, and traversing Left, traverse
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Full Binary Trees: A binary tree of height h that had 2h -1 elements is called a Full Binary Tree. Complete Binary Trees: A binary tree whereby if the height is d, and all of
how to implement prims algorithm dynamically
Instructions Design and test a reference array. Reference array stores the references to user supplied objects of different types. Just think it as a heterogeneous array wh
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