# Timsort – Multiple Choice Questions and Answers (MCQs)

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

1. Tim sort is a comparison based sort.
A) true
B) false

Explanation: Comparison-based sorts include merge sort and insertion sort. As a result, the overall Tim sort becomes a comparison-based sort.

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

Explanation: When the input array is already sorted, Tim sort has the best time complexity. Just one run will be needed in this case.

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

Explanation: Tim sort’s worst-case time complexity is O. (n log n). Since merge sort’s worst complexity is O(n log n), and insertion sort is only used for small arrays, this is the case.

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

Explanation: Tim sort’s average time complexity remains O. (n log n). It’s the same as the merge sort’s average case complexity.

5. What is the auxiliary space requirement of Tim sort?
A) O(n)
B) O(n log n)
C) O(n2)
D) O(log n)

Explanation: Tim sort is a cross between merge and insertion sort. It necessitates merging sorted runs, which necessitates a third array of the same size as the number of the two runs. As a result, in the worst-case scenario, the auxiliary space allowance would be O. (n).

6. Which of the following algorithm is implemented internally in java when we use function arrays.sort()?
A) intro sort
B) quick sort
C) tim sort
D) merge sort

Explanation: Tim sort is used internally by Java to implement arrays.sort (). This is mostly due to the algorithm’s speed as compared to other comparison-based sorts.

7. Why is insertion sort preferred over other sorting algorithms (like selection sort, bubble sort etc.) for Tim sort implementation?
A) Because insertion sort is faster and adaptive
B) Because insertion sort requires less space
C) Because insertion sort is easy to implement
D) Because insertion sort is easy to understand

Explanation: When it comes to sorting small arrays, insertion sort is the best choice. It’s also adaptive, so it outperforms most when the list is entirely or partially sorted.

8. In which case will tim sort will work as an insertion sort?
A) when no. of elements are less than 64
B) when no. of elements are greater than 64
C) when no. of elements are less than size of run
D) when no. of elements are less than 32

Explanation: Tim sort combines insertion and merge sorting. When the size of the array is less than the size of the run, it falls back to insertion sort, which is more effective at sorting small arrays.

9. What is the usual size of a run in tim sort?
A) 32
B) less than 32
C) 32-64 depending on size of the array
D) 64

Explanation: Typically, the run size is set somewhere between 32 and 64. In order to preserve balance when combining the sorted runs, the run size should ideally be in powers of two.

10. What will be the output of the given Java code?

```import java.util.Arrays;
public class SortExample
{
public static void main(String[] args)
{
// Our arr contains 8 elements
int[] arr = {10,7,9,5,8,4};
Arrays.sort(arr);
System.out.printf(Arrays.toString(arr));
}
}```

A) [4,5,7,8,9,10]
B) [10,9,8,7,5,4]
C) 4,5,7,8,9,10
D) error

Explanation: Using the feature Arrays.sort, the provided programme sorts the input in ascending order (). Internally, Tim type is used.

11. What will be the output of the given Java code?

```import java.util.Arrays;
public class SortExample
{
public static void main(String[] args)
{
int[] arr = {10,7,9,5,8,4};
Arrays.sort(arr, 1, 3);
System.out.printf(Arrays.toString(arr));
}
}```

A) [4,5,7,8,9,10]
B) [10,9,8,7,5,4]
C) [10,5,7,8,9,4]
D) [10,7,9,5,8,4]

Explanation: Only a portion of the input array is sorted by the specified programme. It is accomplished by forwarding two additional arguments to the Arrays.sort method (). The elements are sorted between index 1 and 2.

12. Which of the following is Python’s standard sorting algorithm?
A) quick sort
B) introsort
C) merge sort
D) tim sort

Explanation: Since Python 2.3, the Tim sort has been the traditional sorting algorithm. It’s a hybrid sorting algorithm, which means it employs more than one sorting algorithm in its routine.

13. Which of the following sorting algorithm is a constituent of tim sort?
A) selection sort
B) quick sort
C) merge sort
D) heap sort

Explanation: Tim sort is a hybrid sorting algorithm, which means it employs several sorting algorithms. It’s a combination of insertion sort and merge sort.

14. Tim sort begins sorting the given array by using which of the following sorting algorithm?
A) selection sort
B) quick sort
C) insertion sort
D) merge sort

Explanation: Tim sort begins sorting any given array by using insertion sort for each run. The array is divided into smaller parts for this purpose, each part having a size equal to value of run. Then these small parts called runs are merged in order to obtain sorted array.

15. Which of the following sorting algorithm is stable?
A) Tim sort
B) Introsort
C) Quick sort
D) Heap sort

Explanation: Tim sort is the only algorithm that is consistent among the available choices. Tim sort becomes stable when both of its constituents (insertion sort and merge sort) are stable.

16. Which of the following sorting algorithm is not in-place?
A) insertion sort
B) tim sort
C) quick sort
D) intro sort

Explanation: Since it needs auxiliary space, Tim sort is not an in-place sorting algorithm. It’s because merging sorted runs necessitates a third array of the same size as the number of the two runs.

Timsort is a stable hybrid sorting algorithm that combines merge sort and insertion sort to perform well on a wide range of real-world data. Tim Peters created it in 2002 for use with the Python programming language. The algorithm looks for pre-ordered data subsequences (runs) and uses them to sort the rest of the data more efficiently. This is accomplished by combining runs until those conditions are met. Since it needs auxiliary space, Tim sort is not an in-place sorting algorithm. It’s because merging sorted runs necessitates a third array of the same size as the number of the two runs.