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Algorithm Efficiency Quiz

A detailed graphic showing different algorithms with their complexities and visual representations of running time efficiency, set in a library or study environment, with a hint of coding elements in the background.

Algorithm Efficiency Quiz

Test your knowledge on algorithm complexities and recurrence relations with this engaging quiz. Designed for students and enthusiasts in computer science, it challenges you to identify the best algorithms and understand their theoretical foundations.

Key Features:

Multiple-choice questions
Focus on algorithm analysis
Ideal for students and professionals

5 Questions1 MinutesCreated by AnalyzingTree42

There are four algorithms A1, A2, A3, A4 to solve the given problem with the order log(n), nlog(n), log(log(n))n/log(n), Which is the best algorithm.

Consider the following two statements: 1. If f(n) is O(g(n)) and g(n) is O(h(n)) then f(n) is O(h(n)) 2. If f(n) is O(h(n)) and g(n) is O(h(n)) then either f(n) is O(g(n)) or g(n) is O(f(n))

Both statements are true

Both statements are False

Statement 1 is true and statement 2 is false

Statement 2 is true and statement 1 is false

The recurrence relation capturing the optimal time of the Tower of Hanoi problem with n discs is.

T(n) = 2T(n – 2) + 2

T(n) = 2T(n – 1) + n

T(n) = 2T(n/2) + 1

T(n) = 2T(n – 1) + 1

"Let w(n) and A(n) denote respectively, the worst case and average case running time of an algorithm executed on an input of size n. Which of the following is ALWAYS TRUE? A) A(n) = \Omega(W(n)) (B) A(n) = \Theta(W(n)) (C) A(n) = O(W(n)) (D) A(n) = o(W(n))"

"Which of the given options provides the increasing order of asymptotic complexity of functions f1, f2, f3 and f4? f1(n) = 2^n f2(n) = n^(3/2) f3(n) = nLogn f4(n) = n^(Logn)"

F3, f2, f4, f1

F3, f2, f1, f4

F1, f2, f4, f3

F3, f1, f4, f2

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