solved the issue #12046 and #12020

divide_and_conquer/quicksort.py

@@ -0,0 +1,73 @@
+from typing import List
+
+# Function to implement Quick Sort
+def quick_sort(arr: List[int], low: int, high: int) -> None:
+    """
+    Perform quick sort on the given array in-place.
+
+    Parameters:
+    arr (List[int]): The list of integers to sort.
+    low (int): The starting index of the portion of the array to sort.
+    high (int): The ending index of the portion of the array to sort.
+
+    Returns:
+    None: The function sorts the array in-place.
+
+    Doctest:
+    >>> arr = [10, 7, 8, 9, 1, 5]
+    >>> quick_sort(arr, 0, len(arr) - 1)
+    >>> arr
+    [1, 5, 7, 8, 9, 10]
+
+    >>> arr = [4, 3, 2, 1]
+    >>> quick_sort(arr, 0, len(arr) - 1)
+    >>> arr
+    [1, 2, 3, 4]
+    """
+
+    if low < high:
+        # Partitioning index
+        pi = partition(arr, low, high)
+
+        # Recursively sort elements before and after partition
+        quick_sort(arr, low, pi - 1)
+        quick_sort(arr, pi + 1, high)
+
+def partition(arr: List[int], low: int, high: int) -> int:
+    """
+    Partition function to place the pivot element at its correct position.
+
+    Parameters:
+    arr (List[int]): The list of integers to partition.
+    low (int): The starting index for the partition.
+    high (int): The ending index for the partition.
+
+    Returns:
+    int: The partitioning index.
+    """
+    pivot = arr[high]  # Pivot
+    i = low - 1  # Index of smaller element
+
+    for j in range(low, high):
+        if arr[j] <= pivot:
+            i += 1
+            arr[i], arr[j] = arr[j], arr[i]  # Swap
+
+    arr[i + 1], arr[high] = arr[high], arr[i + 1]  # Swap pivot
+    return i + 1
+
+# Driver code to take user-defined input and sort
+if __name__ == "__main__":
+    # Ask the user for input
+    n = int(input("Enter the number of elements in the array: "))
+
+    # Input array elements from the user
+    arr = list(map(int, input(f"Enter {n} elements separated by spaces: ").split()))
+
+    print("Original array:", arr)
+
+    # Call quick sort function
+    quick_sort(arr, 0, len(arr) - 1)
+
+    # Print sorted array
+    print("Sorted array:", arr)