Given list [27, 73, 58, 44, 62, 51, 18], what is the list after three iterations of the outer loop?

To provide an answer to your question, let’s assume you are referring to a scenario where this list undergoes some sort of sorting or iterative process (like bubble sort or similar) in a loop. However, since the specifics of the outer loop are not given, I will show how it would look like if we were applying a bubble sort method just for demonstration purposes.

1. Break Down the Problem

We are given a list and must observe its state after three iterations of an outer loop. The outer loop, in a sorting context, typically refers to the overall number of passes made through the list.

2. Relevant Concepts

If we assume we're using a bubble sort algorithm, the outer loop continues until the list is sorted. In each pass, the largest remaining unsorted element bubbles up to its final position.

3. Analysis and Detail

Starting with the list: $[27, 73, 58, 44, 62, 51, 18]$

Iteration 1: (Comparing adjacent elements)

• Compare 27 and 73: No swap → $[27, 73, 58, 44, 62, 51, 18]$
• Compare 73 and 58: Swap → $[27, 58, 73, 44, 62, 51, 18]$
• Compare 73 and 44: Swap → $[27, 58, 44, 73, 62, 51, 18]$
• Compare 73 and 62: Swap → $[27, 58, 44, 62, 73, 51, 18]$
• Compare 73 and 51: Swap → $[27, 58, 44, 62, 51, 73, 18]$
• Compare 73 and 18: Swap → $[27, 58, 44, 62, 51, 18, 73]$

End of iteration 1: $[27, 58, 44, 62, 51, 18, 73]$

Iteration 2:

• Compare 27 and 58: No swap → $[27, 58, 44, 62, 51, 18, 73]$
• Compare 58 and 44: Swap → $[27, 44, 58, 62, 51, 18, 73]$
• Compare 58 and 62: No swap → $[27, 44, 58, 62, 51, 18, 73]$
• Compare 62 and 51: Swap → $[27, 44, 58, 51, 62, 18, 73]$
• Compare 62 and 18: Swap → $[27, 44, 58, 51, 18, 62, 73]$

End of iteration 2: $[27, 44, 58, 51, 18, 62, 73]$

Iteration 3:

• Compare 27 and 44: No swap → $[27, 44, 58, 51, 18, 62, 73]$
• Compare 44 and 58: No swap → $[27, 44, 58, 51, 18, 62, 73]$
• Compare 58 and 51: Swap → $[27, 44, 51, 58, 18, 62, 73]$
• Compare 58 and 18: Swap → $[27, 44, 51, 18, 58, 62, 73]$

End of iteration 3: $[27, 44, 51, 18, 58, 62, 73]$

4. Verify and Summarize

After three iterations of the outer loop, the updated state of the list is confirmed as $[27, 44, 51, 18, 58, 62, 73]$.

Final Answer

After three iterations of the outer loop, the list is: $[27, 44, 51, 18, 58, 62, 73]$