


def 				UpperCamelCase      (			__magic_name__  :							list[int]  )     ->						list[int]:
		"""simple docstring"""




		if len(__magic_name__  ) > 1:
				lowercase__      =	len(__magic_name__  ) // 2  # Finds the middle of the array
				lowercase__      =	arr[
				    :middle_length
				]  # Creates an array of the elements in the first half.
				lowercase__      =	arr[
				    middle_length:
				]  # Creates an array of the elements in the second half.
				lowercase__      =	len(__magic_name__  )
				lowercase__      =	len(__magic_name__  )
				merge(__magic_name__  )  # Starts sorting the left.
				merge(__magic_name__  )  # Starts sorting the right
				lowercase__      =	0  # Left Counter
				lowercase__      =	0  # Right Counter
				lowercase__      =	0  # Position Counter
				while (
				    left_index < left_size and right_index < right_size
				):  # Runs until the lowers size of the left and right are sorted.
						if left_array[left_index] < right_array[right_index]:
								lowercase__      =	left_array[left_index]
								left_index += 1
						else:
								lowercase__      =	right_array[right_index]
								right_index += 1
						index += 1
				while (
				    left_index < left_size
				):  # Adds the left over elements in the left half of the array
						lowercase__      =	left_array[left_index]
						left_index += 1
						index += 1
				while (
				    right_index < right_size
				):  # Adds the left over elements in the right half of the array
						lowercase__      =	right_array[right_index]
						right_index += 1
						index += 1
		return arr


if __name__ == "__main__":
	import doctest

	doctest.testmod()





from __future__ import annotations






def 				UpperCamelCase      (			__magic_name__  :							list[list[int]]					,					__magic_name__  :							list[list[int]]  )     ->						list[int]:
		"""simple docstring"""




		assert len(__magic_name__  ) == len(__magic_name__  )

		lowercase__      =	len(__magic_name__  )
		lowercase__      =	list(range(__magic_name__  )  )
		lowercase__      =	[-1] * n  # who the donor has donated to
		lowercase__      =	[-1] * n  # who the recipient has received from
		lowercase__      =	[0] * n

		while unmatched_donors:
				lowercase__      =	unmatched_donors[0]
				lowercase__      =	donor_pref[donor]
				lowercase__      =	donor_preference[num_donations[donor]]
				num_donations[donor] += 1
				lowercase__      =	recipient_pref[recipient]
				lowercase__      =	rec_record[recipient]

				if prev_donor != -1:
						if rec_preference.index(__magic_name__  ) > rec_preference.index(__magic_name__  ):
								lowercase__      =	donor
								lowercase__      =	recipient
								unmatched_donors.append(__magic_name__  )
								unmatched_donors.remove(__magic_name__  )
				else:
						lowercase__      =	donor
						lowercase__      =	recipient
						unmatched_donors.remove(__magic_name__  )
		return donor_record

