





'''simple docstring'''






# Algorithm for the pigeonhole sorting








def      __A						(							a_						:  str	):
		lowerCAmelCase     :    int						=   min(a_	)  # min() finds the minimum value
		lowerCAmelCase     :    Tuple						=   max(a_	)  # max() finds the maximum value

		lowerCAmelCase     :    List[Any]						=   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
		lowerCAmelCase     :    Tuple						=   [0] * size

		# Populate the pigeonholes.
		for x in a:
				assert isinstance(a_      ,a_	), "integers only please"
				holes[x - min_val] += 1

		# Putting the elements back into the array in an order.
		lowerCAmelCase     :    int						=   0
		for count in range(a_	):
				while holes[count] > 0:
						holes[count] -= 1
						lowerCAmelCase     :    Optional[Any]						=   count + min_val
						i += 1






def      __A						(							):
		lowerCAmelCase     :    Dict						=   [8, 3, 2, 7, 4, 6, 8]
		pigeonhole_sort(a_	)
		print("Sorted order is:"      ," ".join(a_	)	)


if __name__ == "__main__":
					main()










'''simple docstring'''






import numpy as np






def      __A						(							a_						:  np.array	):
		return 1 / (1 + np.exp(-vector	))


if __name__ == "__main__":
					import doctest

					doctest.testmod()



