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Question

1.     Suppose you are choosing one algorithm among the following three algorithms: 

o    Algorithm A solves problems by dividing them into 10 subproblems of half the size, recursively solving each subproblem, and then combining the solutions in linear time. 

o   Algorithm B solves problems of size n by recursively solving 2 subproblems of size n − 1 and then combining the solutions in constant time. 

o   Algorithm C solves problems of size n by dividing them into 9 subproblems of size n/3, recursively solving each subproblem, and then combining the solutions in O(n3) time. 

What are the running times of each of these algorithms (in big-O notation), and which would you choose? 

Step-by-step answer


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