Question: Suppose a problem can be solved by an algorithm in O(n 2 ) as well as another algorithm in O(2 n ). Will one algorithm

  1. Suppose a problem can be solved by an algorithm in O(n2) as well as another algorithm in O(2n). Will one algorithm always outperform the other?

  1. Give an example of a polynomial problem. Give an example of a nonpolynomial problem. Give an example of an NP problem that as yet has not been shown to be a polynomial problem.

  1. If the time complexity of algorithm X is greater than that of algorithm Y, is algorithm X necessarily harder to understand than algorithm Y? Explain your answer.

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