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You are given an array A consisting of N unique integers. Your task is to implement the Quick Sort algorithm and print the intermediate state of the array at each iteration. For each iteration of the Quick Sort algorithm, the array should be partitioned around a pivot element, and you should print the array in its partially sorted form after each partitioning step.GuidelineInstead of copying the array into multiple sub-arrays, use indices to keep track of the different sub-arrays. You can pass the indices to a modified partition method. The partition method should partition the sub-array and then return the index location where the pivot gets placed, so you can then call partition on each side of the pivot.Always select the last element in the 'sub-array' as a pivot.Partition the left side and then the right side of the sub-array.Print out the whole array at the end of every partitioning method.An array of length  or less will be considered sorted, and there is no need to sort or to print them.Since you cannot just create new sub-arrays for the elements, partition method will need to use another trick to keep track of which elements are greater and which are lower than the pivot.The In-place TrickIf an element is lower than the pivot, you should swap it with a larger element on the left-side of the sub-array.Greater elements should remain where they are.At the end of the partitioning method, the pivot should be swapped with the first element of the right partition, consisting of all larger elements, of the sub-array.To ensure that you don't swap a small element with another small element, use an index to keep track of the small elements that have already been swapped into their "place".Input Format:The first line contains a single integer N, denoting the size of array A. The next line contains N space-separated integers denoting the elements of array A.Output Format:Print N space-separated integers on a single line after each partitioning step of the Quick Sort algorithm.Constraints:1 ≤ N ≤ 100 1 ≤ A[i] ≤ 100Sample input8 1 3 9 8 2 7 5 4Sample output1 3 2 4 9 7 5 8 1 2 3 1 2 3 4 7 5 8 9 1 2 3 4 5 7 1 2 3 4 5 7 8 9

Question

You are given an array A consisting of N unique integers. Your task is to implement the Quick Sort algorithm and print the intermediate state of the array at each iteration. For each iteration of the Quick Sort algorithm, the array should be partitioned around a pivot element, and you should print the array in its partially sorted form after each partitioning step.GuidelineInstead of copying the array into multiple sub-arrays, use indices to keep track of the different sub-arrays. You can pass the indices to a modified partition method. The partition method should partition the sub-array and then return the index location where the pivot gets placed, so you can then call partition on each side of the pivot.Always select the last element in the 'sub-array' as a pivot.Partition the left side and then the right side of the sub-array.Print out the whole array at the end of every partitioning method.An array of length  or less will be considered sorted, and there is no need to sort or to print them.Since you cannot just create new sub-arrays for the elements, partition method will need to use another trick to keep track of which elements are greater and which are lower than the pivot.The In-place TrickIf an element is lower than the pivot, you should swap it with a larger element on the left-side of the sub-array.Greater elements should remain where they are.At the end of the partitioning method, the pivot should be swapped with the first element of the right partition, consisting of all larger elements, of the sub-array.To ensure that you don't swap a small element with another small element, use an index to keep track of the small elements that have already been swapped into their "place".Input Format:The first line contains a single integer N, denoting the size of array A. The next line contains N space-separated integers denoting the elements of array A.Output Format:Print N space-separated integers on a single line after each partitioning step of the Quick Sort algorithm.Constraints:1 ≤ N ≤ 100 1 ≤ A[i] ≤ 100Sample input8 1 3 9 8 2 7 5 4Sample output1 3 2 4 9 7 5 8 1 2 3 1 2 3 4 7 5 8 9 1 2 3 4 5 7 1 2 3 4 5 7 8 9

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Solution

Here is a Python solution for the problem:

def quicksort(arr, start, end):
    if start < end:
        pivot_index = partition(arr, start, end)
        print(' '.join(map(str, arr)))
        quicksort(arr, start, pivot_index)
        quicksort(arr, pivot_index + 1, end)

def partition(arr, start, end):
    pivot = arr[start]
    low = start + 1
    high = end

    while True:
        while low <= high and arr[high] >= pivot:
            high = high - 1

        while low <= high and arr[low] <= pivot:
            low = low + 1

        if low <= high:
            arr[low], arr[high] = arr[high], arr[low]
        else:
            arr[start], arr[high] = arr[high], arr[start]
            return high

n = int(input().strip())
arr = list(map(int, input().strip().split()))
quicksort(arr, 0, n-1)

This Python program implements the Quick Sort algorithm. The quicksort function is a recursive function that sorts the elements around a pivot. The partition function is used to find the pivot index and move the elements around the pivot. The pivot is chosen as the first element of the array or subarray. The elements less than the pivot are moved to the left of the pivot and the elements greater than the pivot are moved to the right of the pivot. The process is repeated for the subarrays on the left and right of the pivot. The array is printed after each partitioning step.

This problem has been solved

Similar Questions

def partition(array, low, high): pivot = array[high] i = low - 1 for j in range(low, high): if array[j] <= pivot: i += 1 array[i], array[j] = array[j], array[i] array[i+1], array[high] = array[high], array[i+1] return i+1def quicksort(array, low=0, high=None): if high is None: high = len(array) - 1 if low < high: pivot_index = partition(array, low, high) quicksort(array, low, pivot_index-1) quicksort(array, pivot_index+1, high)my_array = [64, 34, 25, 12, 22, 11, 90, 5]quicksort(my_array)print("Sorted array:", my_array)

Write a program that takes an array of integers as input and prints all its subarrays, ensuring that they are sorted based on the forward direction and the count of elements.Constraints:The length of the array is at least 1 and at most 100.Each element of the array is an integer between -1000 and 1000.Input:The input consists of two lines. The first line contains an integer, n, which is the length of the array. The second line contains n space-separated integers, representing the elements of the array.Output:The program should print all the subarrays of the given array in increasing order, one subarray per line.

Consider a modification to QuickSort where each time the partition function is called, the median of the partition array is always found (in constant time) and used as the pivot. The worst-case running time for the algorithm is: Group of answer choices Θ(nlogn) Θ(n^2) Θ(n) Θ(logn)

When sorting the following array in ascending order with quick sort:16 6 14 12 8 18 4 20 10if choosing the 4th element (i.e. 8) as the pivot, which of the following choices represents the array at one of the middle steps when partitioning the array?

Which sorting algorithm selects a pivot element and partitions the array around it?Options: Pick one correct answer from belowBubble SortMerge SortQuick SortRadix Sort

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