What statement regarding the development of fast algorithms is accurate?
A) As a rule, any reduction in the order of magnitude of complexity is preferable to a tweak in code that reduces the constant of proportionality.
B) As a rule, any reduction in the constant of proportionality is preferable to a tweak that reduces the order of magnitude in complexity.
C) As a rule, any reduction in the lines of code required to make an algorithm function is desirable to that of faster run times.
D) As a rule, any reduction in the use of memory required by an algorithm is preferred over a tweak that improves run times.

Question

Quizplus · Accepted Answer

Reducing the order of magnitude of an algorithm's complexity generally results in a more significant performance improvement than merely tweaking the code to reduce the constant of proportionality. This is because the order of magnitude reflects the overall growth rate of the algorithm's execution time or space requirement as the input size increases, which has a more substantial impact on performance for large inputs.

What Statement Regarding the Development of Fast Algorithms Is Accurate