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Suppose you have to choose from the following three algorithms: Algorithm A solves the problem by dividing it into four subproblems each of half the
Suppose you have to choose from the following three algorithms: Algorithm A solves the problem by dividing it into four subproblems each of half the size of the original problem, recursively solving each subproblem, and then combining the solutions in linear time. Algorithm B solves the problem of size n by recursively solving two subproblems of size n 1 and then combining the solutions in constant time. Algorithm C solves problems of size n by dividing them into nine problems of size n/3, recursively solving each subproblem, and then combining the solutions in O(n?) time. What are the running times of each of these algorithms (in big-O notation). Which
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