The stable sorting algorithm among the options given is Merge Sort.

Here's why:

1. Merge Sort: It is a stable sorting algorithm because it preserves the relative order of equal elements. In other words, two equivalent elements remain in the same order in the sorted output as they were in the input.

2. Typical in-place Quick Sort: It is not a stable sorting algorithm. This is because it exchanges nonadjacent elements which can change the relative order of equal elements.

3. Heap Sort: It is also not a stable sorting algorithm. During the sift-down operation, the order of equal elements can be changed.

4. Selection Sort: It is not a stable sorting algorithm either. This is because it swaps some element to its correct position, which can change the relative order of equal elements.

Question

The stable sorting algorithm among the options given is Merge Sort.

Here's why:

1. Merge Sort: It is a stable sorting algorithm because it preserves the relative order of equal elements. In other words, two equivalent elements remain in the same order in the sorted output as they were in the input.

2. Typical in-place Quick Sort: It is not a stable sorting algorithm. This is because it exchanges nonadjacent elements which can change the relative order of equal elements.

3. Heap Sort: It is also not a stable sorting algorithm. During the sift-down operation, the order of equal elements can be changed.

4. Selection Sort: It is not a stable sorting algorithm either. This is because it swaps some element to its correct position, which can change the relative order of equal elements.

Knowee AI · Accepted Answer

The stable sorting algorithm among the options given is Merge Sort.

Here's why:

1. Merge Sort: It is a stable sorting algorithm because it preserves the relative order of equal elements. In other words, two equivalent elements remain in the same order in the sorted output as they were in the input.

2. Typical in-place Quick Sort: It is not a stable sorting algorithm. This is because it exchanges nonadjacent elements which can change the relative order of equal elements.

3. Heap Sort: It is also not a stable sorting algorithm. During the sift-down operation, the order of equal elements can be changed.

4. Selection Sort: It is not a stable sorting algorithm either. This is because it swaps some element to its correct position, which can change the relative order of equal elements.

Which of the following is a stable sorting algorithm?Merge sort Typical in-place quick sortHeap sortSelection sort

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