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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
Initially Nodes are inserted in an AVL tree in the same manner as an ordinary binary search tree. Though, the insertion algorithm for any AVL tree travels back along with the pa
Q. Describe the term array. How do we represent two-dimensional arrays in memory? Explain how we calculate the address of an element in a two dimensional array.
P os t - o r d e r T r av er sal : This can be done by both iteratively and recursively. The iterative solution would require a modification or alteration of the in-
(a) Describe the steps involved in the process of decision making under uncertainty. (b) Explain the following principles of decision making: (i) Laplace, (ii) Hurwicz. (c
Q. What is the smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine. A n
ALGORITHM (Insertion of element into a linked list) Step 1 Begin the program Step 2 if the list is empty or any new element comes before the start (head) element, then add t
1. Start 2. Get h 3. If h T=288.15+(h*-0.0065) 4. else if h T=216.65 5. else if h T=216.65+(h*0.001) 6. else if h T=228.65+(h*0.0028) 7. else if h T=270.65 8.
Preconditions assertion A precondition is an assertion which should be true at the initiation of an operation. For instance, a square root operation can't accept a negative a
Asktypes of pipelining question #Minimum 100 words accepted#
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