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chiragshivam
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# Python program for implementation of heap Sort | ||
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# 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 | ||
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# See if left child of root exists and is | ||
# greater than root | ||
if l < n and arr[i] < arr[l]: | ||
largest = l | ||
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# See if right child of root exists and is | ||
# greater than root | ||
if r < n and arr[largest] < arr[r]: | ||
largest = r | ||
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# Change root, if needed | ||
if largest != i: | ||
arr[i],arr[largest] = arr[largest],arr[i] # swap | ||
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# Heapify the root. | ||
heapify(arr, n, largest) | ||
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# The main function to sort an array of given size | ||
def heapSort(arr): | ||
n = len(arr) | ||
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# 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) | ||
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# 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) | ||
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# 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]), | ||
# This code is contributed by Chirag Chopra |