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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)

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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).

This problem has been solved

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