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Write an implementation of a data structure S that supports the following operations:
Insert(S, x): insert the key x into S only if it is not already there.Delete(S, x): delete the key x from S (if it is there).FindSmallest(S, k): ?nd the k-th smallest key in S.
All these operations should take O(log n) time in the worst case, where n is the number of elements in S.
Suppose that all element values are equal. What would be randomized quick sort's running time in this case? Each element of A[p .. q-1] is less than A[q], and each element of A[t+1 .. r] is greater than A[q]
Generalize the 2-3 algorithms for INSERT and DELETE to K-J trees, where non-leaf vertices have between K and J children for fixed integers K >=2, and J>= 2K-1.
Give an algorithm to find the schedule that obtains the maximum amount of profit, assuming that all processing times are integers between 1 and n.
Select a specific category of vertical applications to investigate. Use the Internet and any other sources of information you might have to study some of the different products that are available in that category.
Describe a sorting algorithm to be parsimonious if it never compares same pair of input values twice. (Supose that all the values being sorted are distinct.).
How users and IT organizations must arm themselves against these attacks?
Your goal is to solve the following simple programming exercise. You have been asked by your accounting department to design an algorithm determining the annual profit for your company.
Give an algorithm to decide whether the language recognized by a DFA is empty. Given two DFAs M1 and M2, give an algorithm to decide whether L(M1)subset or equal to L(M2).
Compare the average behavior of insertion sort for n elements with that of the n insertions into an initially-empty straight array implementation of a priority queue
How does he calculate the signature on each of m1j mod n (for positive integer j), m1-1 mod n, m1*m2 mod n, and in general m1j*m2k mod n (for arbitrary integers j and k)?
Write JS code which prompt the user for an integer and prints the result.
Compute the entropy of the plaintext message?
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