Which of the following is an out-of-place sorting algorithm?Group of answer choicesInsertion sortBubble sortAll of theseMerge sort

Break Down the Problem

1. Identify the sorting algorithms listed in the options: Insertion sort, Bubble sort, and Merge sort.
2. Understand the terms "out-of-place" and "in-place" sorting.

Relevant Concepts

1. In-place Sorting: An algorithm that requires a small, constant amount of extra space for its operation.
2. Out-of-place Sorting: An algorithm that requires additional space proportional to the size of the input for sorting.

Analysis and Detail

1. Insertion Sort: This is an in-place sorting algorithm. It sorts the array by gradually building up a sorted section.

2. Bubble Sort: This is also an in-place sorting algorithm. It repeatedly swaps adjacent elements if they are in the wrong order.

3. Merge Sort: This is an out-of-place sorting algorithm as it requires additional memory to create temporary arrays for merging.

Verify and Summarize

After analyzing the characteristics of each algorithm, we find that Insertion Sort and Bubble Sort are in-place, while Merge Sort is the only out-of-place sorting algorithm among the options provided.

Final Answer

The out-of-place sorting algorithm is Merge Sort.