# Cycle Sort – Multiple Choice Questions and Answers (MCQs)

This set of Data Structures & Algorithms Multiple Choice Questions & Answers (MCQs) focuses on “Cycle Sort”.

1. Cycle sort is an adaptive sorting algorithm.
A) true
B) false

Explanation: In any case, the time complexity of cycle sort is O(n2). As a result, the cycle sort algorithm is not adaptive, as sorting an already sorted array takes the same amount of time as sorting any other randomly ordered array.

2. Which of the following sorting algorithm is in-place?
A) Merge sort
B) Cycle sort
C) Counting sort

Explanation: The auxiliary space complexity of cycle type is O. (1). As a result, it qualifies as an in-place kind. All of the other choices aren’t used in the sorting algorithm.

3. Which of the following is an advantage of cycle sort?
A) it can sort large arrays efficiently
B) it has a low time complexity
C) it requires minimal write operations
D) it is an adaptive sorting algorithm

Explanation: Cycle sort is a slow sorting algorithm that is not adaptive, as opposed to fast sort, merge sort, and so on. However, it has the advantage of performing limited write operations, which can be very useful in situations where write operations are costly.

4. Cycle sort is a comparison based sort.
A) true
B) false

Explanation: Cycle sort is a sorting algorithm that uses comparisons. This is due to the fact that it compares elements before sorting them.

5. Which of the following sorting algorithm uses the method of insertion?
A) cycle sort
B) bubble sort
C) quick sort
D) selection sort

Explanation: The only one of the algorithms that uses the insertion method is cycle sort. Aside from that, insertion sort uses the insertion process for sorting.

6. How many write operations will be required to sort the array arr={2,4,3,5,1} using cycle sort?
A) 4
B) 5
C) 6
D) 3

Explanation: To sort an array, cycle sort requires a minimum number of write operations. As a result, only four write operations will be needed in this case.

7. Which of the following algorithm is best suited for the case where swap operation is expensive?
A) bubble sort
B) cycle sort
C) cocktail sort
D) merge sort

Explanation: Cycle sort is a slow sorting algorithm, but it sorts a given array with the fewest number of write operations. When the write/swap operation is costly, it comes in handy.

8. Which of the following is an example of an unstable sorting algorithm?
A) cycle sort
B) insertion sort
C) bubble sort
D) merge sort

Explanation: Only cycle sort is an insecure sorting algorithm among the available choices. This means that when we use cycle sort, the relative location of equal valued elements in the input and sorted arrays does not remain the same.

9. What is the worst case time complexity of cycle sort?
A) O(n)
B) O(log n)
C) O(n log n)
D) O(n2)

Explanation: Cycle sort’s worst-case performance is O. (n2). It’s because each member of the array must undergo n comparisons.

10. What is the auxiliary space requirement of cycle sort?
A) O(n)
B) O(1)
C) O(log n)
D) O(n log n)

Explanation:
Auxiliary space of O is needed for cycle sort (1). As a result, it is classified as an in-place sorting algorithm.

11. What is the best case time complexity of cycle sort?
A) O(n2)
B) O(n)
C) O(n log n)
D) O(1)

Explanation: Cycle sort’s best case time complexity is O. (n2). This demonstrates that cycle sort is not an adaptive sorting algorithm, making it unsuitable when the array is nearly sorted.

12. What is the average case time complexity of cycle sort?
A) O(n2)
B) O(n log n)
C) O(log n)
D) O(n)

Explanation: Cycle sort has an average performance of O. (n2). It’s because each member of the array must undergo n comparisons

Cycle sort is an in-place, unstable sorting algorithm, a comparison sort that, unlike any other in-place sorting algorithm, is theoretically optimal in terms of the total number of writes to the original sequence. It is based on the assumption that a permutation can be factored into loops, each of which can be rotated individually to produce a sorted result. Things are never written elsewhere in the collection simply to get them out of the way of the action, unlike nearly any other type. If a value is already in the correct position, it is written zero times; otherwise, it is written once to the correct position. This corresponds to the bare minimum of overwrites needed for a successful in-place sort.