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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.
Illustrates the program segment for Quick sort. It uses recursion. Program 1: Quick Sort Quicksort(A,m,n) int A[ ],m,n { int i, j, k; if m { i=m; j=n+1; k
what is a balance tree?
1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole
There are three typical ways of recursively traversing a binary tree. In each of these, the left sub-trees & right sub-trees are visited recursively and the distinguishing feature
Linked List A linked list is a linear collection of data elements called nodes. The linear order is given by pointer. Every node is divided into 2 or more parts.
Threaded Binary Tree:- By changing the NULL lines in a binary tree to special links known as threads, it is possible to perform traversal, insertion and deletion without using
The number of different directed trees with 3 nodes are ?? The number of disimilar directed trees with three nodes are 3
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)
Conceptually, the stack abstract data type mimics the information kept into a pile on a desk. Informally, first we consider a material on a desk, where we might keep separate stack
What is String Carrier set of the String ADT is the set of all finite sequences of characters from some alphabet, including empty sequence (the empty string). Operations on s
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