Question

Suppose there are two different algorithms, ALG1 and ALG2, for solving the same problem. The running time of ALG1 is \Theta(n \log n) for any instance. The best-case running time of ALG2 is \Theta(n) and the worst-case running time of ALG2 is \Theta(n^2). Which of the following is true? The running time for ALG2 is \Omega(n \log n). ALG1 is more efficient than ALG2. The running time for ALG1 is O(n). ALG2 is more efficient than ALG1.

          Suppose there are two different algorithms, ALG1 and ALG2, for solving the same problem. The running time of ALG1 is \Theta(n \log n) for any instance. The best-case running time of ALG2 is \Theta(n) and the worst-case running time of ALG2 is \Theta(n^2). Which of the following is true?
The running time for ALG2 is \Omega(n \log n).
ALG1 is more efficient than ALG2.
The running time for ALG1 is O(n).
ALG2 is more efficient than ALG1.

Suppose there are two different algorithms, ALG1 and ALG2, for solving the same problem. The running time of ALG1 is Θ(n logn) for any instance. The best-case running time of ALG2 is Θ(n) and the worst-case running time of ALG2 is Θ(n^2). Which of the following is true?
The running time for ALG2 is Ω(n logn).
ALG1 is more efficient than ALG2.
The running time for ALG1 is O(n).
ALG2 is more efficient than ALG1.

Added by Bego-A M.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Akash M

12/03/2023

Step 1

Step 1: The running time of ALG1 is \Theta (nlogn) for any instance, and the running time of ALG2 is \Theta (n) in the best case and \Theta (n^(2)) in the worst case. Show more…

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Suppose there are two different algorithms, ALG1 and ALG2, for solving the same problem. The running time of ALG1 is Theta (nlogn) for any instance. The best- case running time of ALG2 is Theta (n) and the worst-case running time of ALG2 is Theta (n^(2)). Which of the following is true? The running time for ALG2 is Omega (nlogn). ALG1 is more efficient than ALG2. The running time for ALG1 is O(n). ALG2 is more efficient than ALG1. Suppose there are two different algorithms, ALG1 and ALG2, for solving the same problem. The running time of ALG1 is O(n log m) for any instance. The best- case running time of ALG2 is (n) and the worst-case running time of ALG2 is Which of the following is true? The running time for ALG2 is S2(m Iog m ALG1 is more efficient than ALG2 The running time for ALG1 is O(m) ALG2 is more efficient than ALG1