Quick Sort Problem Statement

You are provided with an array of integers. The task is to sort the array in ascending order using the quick sort algorithm.

Quick sort is a divide-and-conquer algorithm. It involves selecting a pivot point and partitioning the array into two segments: the left one containing elements smaller than the pivot and the right one with elements larger than the pivot. Thereafter, recursively sorting the two partitions.

Input:

The first line contains an integer 'T', the number of test cases.
For each test case:
The first line contains an integer 'N', representing the size of the array.
The second line contains 'N' space-separated integers representing the array elements.

Output:

For each test case, output a single line containing the array elements sorted in ascending order, separated by spaces.
Each test case's result appears on a separate line.

Example:

Input:
1
5
4 2 1 5 3
Output:
1 2 3 4 5

Constraints:

  • 1 <= T <= 10
  • 1 <= N <= 103
  • -109 <= ARR[i] <= 109

Note:

You are not required to implement any print functionality; focus on developing the sorting function itself.

Follow-Up:

Can you enhance the algorithm to achieve NlogN complexity in the worst case?
AnswerBot
4mo

To achieve NlogN complexity in the worst case, we can implement the randomized quick sort algorithm.

  • Randomly select the pivot element to reduce the chances of worst-case scenarios.

  • Implement a hybrid a...read more

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