Question: Suppose there are two algorithms T1 and T2. The first algorithm has a runtime complexity defined by T1(n) = 5T1(n/2) + O(n 2 ). The

Suppose there are two algorithms T1 and T2. The first algorithm has a runtime complexity defined by T1(n) = 5T1(n/2) + O(n 2 ). The second algorithm has a runtime complexity defined by T2(n) = x T2(n/4) + O(n 2 log n), where x > 0 is an unknown positive real number. What are the values of x such that T2 is asymptotically faster than T1? You may express your answer using inequalities for x. Explain your answer.

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