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42 changes: 42 additions & 0 deletions Algorithms/sorting/heap_sort.py
Original file line number Diff line number Diff line change
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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

# 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)

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)

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]),
18 changes: 18 additions & 0 deletions Algorithms/sorting/selection_sort.py
Original file line number Diff line number Diff line change
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import sys
A = [100, 50, 200, 60, 40]

# Traverse through all array elements
for i in range(len(A)):

# Find the minimum element in remaining unsorted array
min_idx = i
for j in range(i+1, len(A)):
if A[min_idx] > A[j]:
min_idx = j

# Swap the found minimum element with the first element
A[i], A[min_idx] = A[min_idx], A[i]

print ("Sorted array")
for i in range(len(A)):
print("%d" %A[i]),