Suppose we have algorithms that solve a particular problem that have the following complexities. Which one is most efficient? A. O(n3) B. O(1) C. O(n2) D. O(log2n) E. O(2n)
Question
Suppose we have algorithms that solve a particular problem that have the following complexities. Which one is most efficient? A. O(n3) B. O(1) C. O(n2) D. O(log2n) E. O(2n)
Solution
The most efficient algorithm is the one with the lowest time complexity. Time complexity refers to the computational complexity that describes the amount of computational time taken by an algorithm to run, as a function of the size of the input to the program.
Here are the given complexities in ascending order of efficiency:
E. O(2^n) - Exponential time A. O(n^3) - Cubic time C. O(n^2) - Quadratic time D. O(log2n) - Logarithmic time B. O(1) - Constant time
From this list, we can see that the most efficient complexity is O(1), which is constant time. This means the algorithm always takes the same amount of time to execute, regardless of the size of the input. So, the answer is B. O(1).
Similar Questions
Time complexities of three algorithms are given. Which should execute the slowest for largevalues of N?(A) O(N^0.5)#(B) O(n)(C) O(logN)(D) O(log2n)(E)O(NlogN
When comparing two algorithms with time complexities O(n) and O(n2), which one is more efficient for large inputs?Group of answer choices
If an algorithm's time complexity is O(n2 log n), which of the following best describes its efficiency compared to an algorithm with a time complexity of O(n2)?
Which of the following complexity measures is the most efficient? A. O(2^n) B. O(n^2) C. O(n log n) D. O(n) E. O(1)
If an algorithm's time complexity is O(n2 log n), which of the following best describes its efficiency compared to an algorithm with a time complexity of O(n2)?Group of answer choicesIt is less efficient.It is equally efficient.It depends on the specific input data.It is more efficient.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.