For an O(Nk ) algorithm, where k is a positive integer, an instance of size M takes 32 seconds to run. Suppose you run an instance of size 2M and find that it takes 512 seconds to run. What is the value of k?

The correct answer to the following question will be "k = 4".

Explanation:

Thus increasing the scale from M - 2 M, and in other words, multiplying the scale increases the time by

Thus, K price is equivalent to 4, which indicates it rises according to a factor of (2)⁴.

Therefore, the complexity of the computation or algorithm is O(N⁴), which indicates that time improves by (2)⁴ times when twice the scale.

the answer is gallery.