Which of the following inputs prove that Mergesort is not a stable sort (or choose the answer that indicates that Mergesort is a stable sort)?

Question

BlackTom AI · Accepted Answer

The question asks us to identify which inputs demonstrate that Mergesort is not a stable sort, or to choose the option that indicates Mergesort is stable.
Option a: 'a. (none of the other answers, since Mergesort is a stable sort).'
- This option asserts stability as a fact, rather than providing an input that proves stability. It effectively selects the stability claim, but it does not present an input scenario showing stability via equal keys and preserved order. Since the prompt wants inputs that prove instability (or an explicit statement of stability), this option is making a direct claim about stability rather than supplying a test case. It's reasonable to treat this as the option that indicates stability, though it does not demonstrate stability with an input example.
Option b: 'MERGEEXAMPLE'
- The term 'MERGEEXAMPLE' is ambiguous without context. If it were a concrete input sequence designed to test stability (e.g., two equal keys that appear in a different relative order after merging), it could potentially demonstrate stability. However, as written, it provides no concrete data or order information to judge stability. Therefore, this option does not definitively prove stability or instability.
Option c: 'UNSTABLE'
- This option asserts instability. Since Mergesort is widely taught and implemented as a stable sorting algorithm, claiming it is unstable contradicts standard algorithmic properties. If this were presented as a test input, it would be incorrect because it does not align with the known behavior of Mergesort. The logic flaw here is confusing algorithmic stability with an unsupported assertion that the algorithm misbehaves in general.
Option d: 'SHUFFLE'
- Like option b, 'SHUFFLE' is vague and not a concrete stability test. Without a concrete sequence or description showing how equal keys could reverse order during the merge step, this option fails to prove instability or stability.
To determine correctness conceptually: Mergesort is stable, so the option that aligns with selecting stability would be the one that claims stability rather than providing an actual instability test. The other options either make an unsupported claim of instability or provide insufficient or ambiguous input descriptions to judge stability.

Which of the following inputs prove that Mergesort is not a stable sort (or choose the answer that indicates that Mergesort is a stable sort)?单项选择题

类似问题

Is Mergesort a stable sorting algorithm?

Is Mergesort a stable sorting algorithm?

What kind of treatment is applied to Jerry's vocals in this clip?

Why were Grateful Dead fans resistant to Bruce Hornsby?

How many different Grateful Dead compositions provided Oswald with the sonic material for Grayfolded?

Which of the following best characterizes the difference in audio treatment between Transitive Axis and Mirror Ashes?

What was the Grateful Dead's last studio album?

Who played keyboard for the Grateful Dead after Brent Mydland passed away? Select all that apply.

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单