diff --git a/DataStructure_and_Algorithms/Python/Sorting/Heap sort.py b/DataStructure_and_Algorithms/Python/Sorting/Heap sort.py new file mode 100644 index 0000000..c266136 --- /dev/null +++ b/DataStructure_and_Algorithms/Python/Sorting/Heap sort.py @@ -0,0 +1,47 @@ +# Python program for implementation of heap Sort + +# To heapify subtree rooted at index i. +# n is size of heap +def heapify(arr, n, i): + largest = i # Initialize largest as root + l = 2 * i + 1 # left = 2*i + 1 + r = 2 * i + 2 # right = 2*i + 2 + + # See if left child of root exists and is + # greater than root + if l < n and arr[i] < arr[l]: + largest = l + + # See if right child of root exists and is + # greater than root + if r < n and arr[largest] < arr[r]: + largest = r + + # Change root, if needed + if largest != i: + arr[i],arr[largest] = arr[largest],arr[i] # swap + + # Heapify the root. + heapify(arr, n, largest) + +# The main function to sort an array of given size +def heapSort(arr): + n = len(arr) + + # Build a maxheap. + # Since last parent will be at ((n//2)-1) we can start at that location. + for i in range(n // 2 - 1, -1, -1): + heapify(arr, n, i) + + # One by one extract elements + for i in range(n-1, 0, -1): + arr[i], arr[0] = arr[0], arr[i] # swap + heapify(arr, i, 0) + +# Driver code to test above +arr = [ 12, 11, 13, 5, 6, 7] +heapSort(arr) +n = len(arr) +print ("Sorted array is") +for i in range(n): + print ("%d" %arr[i]), diff --git a/DataStructure_and_Algorithms/Python/Sorting/Quick sort.py b/DataStructure_and_Algorithms/Python/Sorting/Quick sort.py new file mode 100644 index 0000000..43ffc83 --- /dev/null +++ b/DataStructure_and_Algorithms/Python/Sorting/Quick sort.py @@ -0,0 +1,46 @@ +def partition(arr, low, high): + i = (low - 1) # index of smaller element + pivot = arr[high] # pivot + + for j in range(low, high): + + # If current element is smaller than or + # equal to pivot + if arr[j] <= pivot: + # increment index of smaller element + i = i + 1 + arr[i], arr[j] = arr[j], arr[i] + + arr[i + 1], arr[high] = arr[high], arr[i + 1] + return (i + 1) + + +# The main function that implements QuickSort +# arr[] --> Array to be sorted, +# low --> Starting index, +# high --> Ending index + +# Function to do Quick sort + + +def quickSort(arr, low, high): + if len(arr) == 1: + return arr + if low < high: + # pi is partitioning index, arr[p] is now + # at right place + pi = partition(arr, low, high) + + # Separately sort elements before + # partition and after partition + quickSort(arr, low, pi - 1) + quickSort(arr, pi + 1, high) + + +# Driver code to test above +arr = [10, 7, 8, 9, 1, 5] +n = len(arr) +quickSort(arr, 0, n - 1) +print("Sorted array is:") +for i in range(n): + print("%d" % arr[i]), \ No newline at end of file