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If the problem size is fairly small, then there is little difference between the efficiencies of different algorithms. A. True B. False

Question

If the problem size is fairly small, then there is little difference between the efficiencies of different algorithms.

A. True
B. False

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Solution

The correct answer is A. True.

Explanation

When dealing with small problem sizes, the efficiency or performance differences between various algorithms tend to be negligible. Many algorithms may have similar time complexities, and the overhead associated with their implementation may not significantly impact the overall execution time. Consequently, even less efficient algorithms can complete their tasks quickly when the data set is small.

For example, consider sorting algorithms such as Bubble Sort (O(n^2)) and Quick Sort (O(n log n)). For a small number of elements, Bubble Sort may perform adequately fast despite its worse theoretical time complexity. This scenario makes the distinction between algorithm efficiencies less critical, allowing developers to prioritize simplicity or convenience over performance. Therefore, in practice, the choice of algorithm becomes more significant as the problem size increases.

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