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subject categories
computer science
algorithms
april 2019
30

Algorithms Questions and Answers April 30, 2019

Expert-verified solutions to help you succeed

1) Public-key cryptography can be used for encryption and key exchange. Furthermore, it has some properties (such as nonrepudiation) which are not offered by symmetric key cryptography. So why do we still use symmetric cryptography in current applications? 2.) Assume a fast public-key library such as OpenSSL that can decrypt data at a rate of 100

Suppose you have a computer that requires 1 minute to solve problem instances of size n = 1000.suppose you buy a new computer that runs1000 times faster than the old one. What instance size can be run in 1 minute, assuming the following time complexities T(n) for our algorithm? (a) T(n) = n (b) T(n)= n^3 (c)T(n)=10^n

Suppose you are given a graph in which each vertex has a cost. The cost of a path from v to w is the sum of the costs of the interior vertices along the path (the costs of v and w are not included in the sum). Design an algorithm to solve the all-pairs shortest path problem on this type of graph.

The mode of a set of numbers is defined to be the number that occurs most frequently in the set. The set {4,6,2,4,3,1} has a mode of 4. a) Suppose we know that there is an (unknown) element that occurs (n/2) + 1 times in the set. Design an O(n) time algorithm to find the mode. Justify the time complexity of your algorithm. b) Design an algorithm

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