Question: (10 points) Suppose that we have two algorithms A1 and A2 for solving the same problem. Let T1(n) be the worst-case time complexity of

(10 points) Suppose that we have two algorithms A1 and A2 for solving the same problem. Let T1(n) be the worst-case time complexity of A1 and T2(n) be the worst-case time complexity of A2. We know that {T (1)=1 Ti(n) 15 Ti(n/2)+ n, n>1 T(1) = 1 { T2(n) 80 T2(n/3) + 20 n, n>1. (a) Use the master method to get the running time for Ti(n). (b) Use the master method to get the running time for T(n). (c) Which algorithm is more efficient? Why?

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