Question: Suppose we are choosing between three algorithms: -Algorithm A solves problems of size n by recursively solving three subproblems of size n/2 and then combining

Suppose we are choosing between three algorithms:

-Algorithm A solves problems of size n by recursively solving three subproblems of size n/2 and then combining the solutions in quadratic ((n 2 )) time

-Algorithm B solves problems of size n by recursively solving three subproblems of size n/3 and then combining the solutions in linear ((n)) time

-Algorithm C solves problems of size n by recursively solving nine subproblems of size n/3 and them combining the solutions in constant ((1)) time

What are the running times of each algorithm in big- notation and which would you choose?

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