Question: Complexity and Problem-Solving Strategy Question 12 (a) Say you have two sorting algorithms to co……

Complexity and Problem-Solving Strategy Question 12 (a) Say you have two sorting algorithms to compare and your goal is to select one of them to be used in a real-time application. Algorithm 1 has a worst case time complexity of O(n2), while algorithm 2 has a worst case time complexity of O(nlogn). Both have worst case space complexity of O(n). Which one would you say is a better sorting algorithm (1 or 2) for a real-time application? Briefly justify your answer. 13 marks] (b) State in one sentence the essence of the P versus NP problem. [2 marks]

Complexity and Problem-Solving Strategy Question 12 (a) Say you have two sorting algorithms to compare and your goal is to select one of them to be used in a real-time application. Algorithm 1 has a worst case time complexity of O(n2), while algorithm 2 has a worst case time complexity of O(nlogn). Both have worst case space complexity of O(n). Which one would you say is a better sorting algorithm (1 or 2) for a real-time application? Briefly justify your answer. 13 marks] (b) State in one sentence the essence of the P versus NP problem. [2 marks]

Expert Answer

answers

According to the scenario we are using two sorts with one having worst time complexity is O(n^2) and worst space complexity is O(n), wheras the worst time complexity of another one is O(nlogn) and worst space complexity is O(n).

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now coming to the time complexity, O(nlogn) will take less time to process as compared to O(n^2).moreover, the execution time of O(n^2) is more as compared to O(nlogn). O(nlogn) is always good at handling huge amount of data and the sorting algorithm will work perfectly fine.

b) the main essence of P vs NP problem is every problem which can be quickly verified can also be solved quickly with the help of polynomial time.

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