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DataStructure_and_Algorithms/Python/Sorting/Heap sort.py

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+# 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]),

DataStructure_and_Algorithms/Python/Sorting/Quick sort.py

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+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]),