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57 changes: 57 additions & 0 deletions Sorts/HeapSort.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[largest] < 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.
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's code
if __name__ == '__main__':
arr = [12, 11, 13, 5, 6, 7]

# Function call
heapSort(arr)
N = len(arr)

print("Sorted array is")
for i in range(N):
print("%d" % arr[i], end=" ")

# Provided by Noor Ahmed