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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.
What is a first-in-first-out data structure ? Write algorithms to perform the following operations on it – create, insertion, deletion, for testing overflow and empty conditions.
Example: Insertion of a key 33 into a B-Tree (w/split) Step 1: Search first node for key closet to 33. Key 30 was determined. Step 2: Node pointed through key 30, is se
What is wrong with the following algorithm for sorting a deck of cards (considering the basic properties of algorithms)? I. Put the cards together into a pile II. For each ca
For the Oscillating sort to be applied, it is necessary for the tapes to be readable in both directions and able to be quickly reversed. The oscillating sort is superior to the po
Step 1: Declare array 'k' of size 'n' i.e. k(n) is an array which stores all the keys of a file containing 'n' records Step 2: i←0 Step 3: low←0, high←n-1 Step 4: while (l
Objectives The purpose of this project is to give you significant exposure to Binary Search Trees (BST), tree traversals, and recursive code. Background An arbitrary BST i
Write an algorithm for compound interest.
algorithm format
the voltage wave forms are applied at the inputs of an EX-OR gate. determine the output wave form
explain working of siso-register to store 1011 and show timing diagram &table
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