Algorithm Efficiency Quiz
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
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.
A1
A2
A3
A$
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))"
A
B
C
D
"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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