36. An algorithm should output the range of a list of integers. Which test is a valid test of the algorithm?
Answer: A
Input [18, 10, 6, 14, 18, 4]. Ensure output is 14
This test case is valid because the range of the input list is calculated as the difference between the maximum and minimum values. For the input [18, 10, 6, 14, 18, 4], the maximum is 18 and the minimum is 4, resulting in a range of 18 - 4 = 14.
A) Input [18, 10, 6, 14, 18, 4]. Ensure output is 14
This option correctly tests the algorithm's ability to compute the range of a list of integers. The maximum value is 18 and the minimum value is 4, making the range 14, which aligns with the expected output.
B) Input [-7, -6, -14, -12, -14, -18, 18, 15, -15]. Ensure output is 8
This test is invalid because the range calculation would yield a maximum of 18 and a minimum of -18, resulting in a range of 18 - (-18) = 36, not 8. Therefore, this option does not correctly validate the algorithm.
C) Input [13, -7, -12, 19, 1, 15, -2, 5, 18]. Ensure output is 26
This option is also incorrect. The maximum value in this list is 19 and the minimum is -12, leading to a range of 19 - (-12) = 31, not 26. Thus, this test does not provide a valid output for the algorithm.
D) Input [8, 5, -20, 19, 20, 13, 20]. Ensure output is 15
This option is incorrect as well. The maximum value here is 20 and the minimum is -20, producing a range of 20 - (-20) = 40, which does not match the expected output of 15. Therefore, this test case fails to validate the algorithm.
Conclusion
The only valid test case is option A, which accurately computes the range of the list and produces the expected output. Options B, C, and D fail to provide correct ranges based on their respective inputs, making them unsuitable for testing the algorithm. Thus, option A is definitively the correct choice for validating the range calculation.