38. Which test is a valid test of the algorithm?

Answer: D

Explanation:

Input [âˆ'8, âˆ'15, âˆ'2, âˆ'18, âˆ'16, 18]. Ensure output is 36.

This test case is valid because it correctly evaluates the range of the given list of integers, where the range is determined by subtracting the smallest integer from the largest integer, resulting in an output of 36.

A) Input [16, âˆ'13, 6, âˆ'7, 1, âˆ'15, âˆ'14]. Ensure output is 21.

This option is incorrect. The range of the input list is calculated as 16 - (-15) = 31, not 21, indicating that the expected output does not match the actual range.

B) Input [âˆ'5, âˆ'10, âˆ'7, 4, 7, âˆ'8]. Ensure output is 14.

This option is also incorrect. The range here is determined by 7 - (-10) = 17, not 14, which means the expected output is inaccurate based on the algorithm's definition of range.

C) Input [13, âˆ'3, 6, âˆ'7]. Ensure output is 7.

This option is incorrect as well. The correct range should be calculated as 13 - (-7) = 20, not 7, indicating a misunderstanding of how to compute the range.

D) Input [âˆ'8, âˆ'15, âˆ'2, âˆ'18, âˆ'16, 18]. Ensure output is 36.

This option is correct because the calculation of the range results in 18 - (-18) = 36, which accurately reflects the expected output for this test case.

Conclusion

The valid test case is D, as it accurately computes the range of the list of integers provided. All other options fail due to incorrect calculations of the range, which is defined as the difference between the maximum and minimum values in the list. Thus, only option D meets the criteria for a valid test of the algorithm.