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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.
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Depth-first traversal A depth-first traversal of a tree visit a node and then recursively visits the subtrees of that node. Likewise, depth-first traversal of a graph visits
for i=1 to n if a[i}>7 for j=2 to n a[j]=a{j}+j for n=2 to n a[k]=a[j]+i else if a[1]>4 && a[1] for 2 to a[1] a[j]= a{j]+5 else for 2to n a[j]=a[j]+i ..
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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
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SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)
You will write functions for both addition and subtraction of two numbers encoded in your data structure. These functions should not be hard to write. Remember how you add and subt
After learning this, you will be able to: understand the concept of algorithm; understand mathematical foundation underlying the analysis of algorithm; to understand se
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