Question

1. when N=32, DataType is In order, Comparisons: 558 Movements: 31 Total time: 27

2. when N=32, DataType is In order, Comparisons: 31 Movements: 62 Total time: 6
3. when N=32, DataType is In order, Comparisons: 80 Movements: 320 Total time: 46
4. when N=32, DataType is In order, Comparisons: 496 Movements: 0 Total time: 38
what are the sort of each question, choose from the selection, merge, quick and insertion sort

Answer 1

Based on comparisons, movements, and total time for N=32 and the in order data type, it's likely that the second set suggests selection sort. The other sets don't closely match typical sorting algorithm patterns for already sorted data, though the first might be merge sort.

Step-by-step explanation:

Identifying the type of sorting algorithm based on the number of comparisons, movements, and total time for a dataset of N=32 that is already in order can be challenging. However, certain characteristics of sorting algorithms can provide clues:

• For instance, Insertion sort generally has fewer comparisons and movements when the data is already sorted. Looking at the first set of data with 558 comparisons and 31 movements, this seems inconsistent with insertion sort's pattern.
• Selection sort performs the same number of comparisons regardless of the order of the data. It typically performs N-1 comparisons and up to N swaps, which correspond to the second set of data with 31 comparisons and 62 movements.
• Merge sort has a characteristic number of comparisons that is proportional to N log N, but the provided data does not fit this pattern well.
• Finally, Quick sort is also known for N log N average comparisons but can vary greatly. The fourth set of data with 496 comparisons and 0 movements likely suggests a different sorting technique not listed among the choices.

Therefore, based on the given patterns:

1. The first dataset may correspond to a merge sort or other sort not listed.
2. The second dataset likely represents a selection sort.
3. The third dataset does not closely match the typical behavior of these sorts with sorted data.
4. The fourth dataset, due to the absence of movements, may suggest a specially optimized version of quick sort or another sorting algorithm that takes advantage of the presorted data.