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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.
Explain an efficient way of storing two symmetric matrices of the same order in memory. A n-square matrix array is said to be symmetric if a[j][k]=a[k][j] for all j and k. For
Find a minimum cost spanning arborescence rooted at r for the digraph shown below, using the final algorithm shown in class. Please show your work, and also give a final diagram wh
Q. Execute your algorithm to convert the infix expression to the post fix expression with the given infix expression as input Q = [(A + B)/(C + D) ↑ (E / F)]+ (G + H)/ I
Write the non-recursive algorithm to traverse a tree in preorder. The Non- Recursive algorithm for preorder traversal is as follows: Initially push NULL onto stack and
Data Structure and Algorithm 1. Explain linked list and its types. How do you represent linked list in memory? 2. List and elucidate the types of binary tree. 3. Descr
what is folding method?
HOW DO I CREATE ENSEMBLE NETWORK IN MATLAB
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Q. How do we represent a max-heap sequentially? Explain by taking a valid example. Ans: A max heap is also called as a descending heap, of size n is an almos
Q. Consider the specification written below of a graph G V(G ) = {1,2,3,4} E(G ) = {(1,2), (1,3), (3,3), (3,4), (4,1)} (i) Draw the undirected graph. (
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