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# Python program to implement Pigeonhole Sorting in python

# Algorithm for the pigeonhole sorting

def pigeonhole_sort(a):

"""

>>> a = [8, 3, 2, 7, 4, 6, 8]

>>> b = sorted(a) # a nondestructive sort

>>> pigeonhole_sort(a) # a destructive sort

>>> a == b

True

"""

# size of range of values in the list (ie, number of pigeonholes we need)

min_val = min(a) # min() finds the minimum value

max_val = max(a) # max() finds the maximum value

size = max_val - min_val + 1 # size is difference of max and min values plus one

# list of pigeonholes of size equal to the variable size

holes = [0] * size

# Populate the pigeonholes.

for x in a:

assert isinstance(x, int), "integers only please"

holes[x - min_val] += 1

# Putting the elements back into the array in an order.

i = 0

for count in range(size):

while holes[count] > 0:

holes[count] -= 1

a[i] = count + min_val

i += 1

def main():

a = [8, 3, 2, 7, 4, 6, 8]

pigeonhole_sort(a)

print("Sorted order is:", " ".join(a))

if __name__ == "__main__":

main()