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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.
For AVL trees the deletion algorithm is a little more complicated as there are various extra steps involved in the deletion of node. If the node is not a leaf node, then it contain
Q1. Define the following terms: (i) Abstract data type. (ii) Column major ordering for arrays. (iii) Row major ordering for arrays. Q2. Explain the following: (i) A
The below formula is used to calculate n: n = (x * x)/ (1 - x). Value x = 0 is used to stop the algorithm. Calculation is repeated using values of x until value x = 0 is input. The
how to write a pseudo code using Kramer''s rule
Q. What do you understand by the term sparse matrix? How sparse matrix is stored in the memory of a computer? Write down the function to find out the transpose of a sparse matrix u
Krushkal's algorithm uses the concept of forest of trees. At first the forest contains n single node trees (and no edges). At each of the step, we add on one (the cheapest one) edg
Q. Compare and contrast various sorting techniques or methods with respect to the memory space and the computing time.
Given the following search tree, state the order in which the nodes will be searched for breadth first, depth first, hill climbing and best first search, until a solution is reache
null(nil) = true // nil refer for empty tree null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(
nested for loop for (i = 0; i for (j = 0; j sequence of statements } } Here, we observe that, the outer loop executes n times. Every time the outer loop execute
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