






def 						A_					(						lowercase_			)				->list[int]:







 """simple docstring"""

 if len(lowercase_			) > 1:
  SCREAMING_SNAKE_CASE				    =		len(lowercase_			) // 2  # Finds the middle of the array
  SCREAMING_SNAKE_CASE				    =		arr[
      :middle_length
  ]  # Creates an array of the elements in the first half.
  SCREAMING_SNAKE_CASE				    =		arr[
      middle_length:
  ]  # Creates an array of the elements in the second half.
  SCREAMING_SNAKE_CASE				    =		len(lowercase_			)
  SCREAMING_SNAKE_CASE				    =		len(lowercase_			)
  merge(lowercase_			)  # Starts sorting the left.
  merge(lowercase_			)  # Starts sorting the right
  SCREAMING_SNAKE_CASE				    =		0  # Left Counter
  SCREAMING_SNAKE_CASE				    =		0  # Right Counter
  SCREAMING_SNAKE_CASE				    =		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]:
    SCREAMING_SNAKE_CASE				    =		left_array[left_index]
    left_index += 1
   else:
    SCREAMING_SNAKE_CASE				    =		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
   SCREAMING_SNAKE_CASE				    =		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
   SCREAMING_SNAKE_CASE				    =		right_array[right_index]
   right_index += 1
   index += 1
 return arr


if __name__ == "__main__":
      import doctest

      doctest.testmod()







"""simple docstring"""



from __future__ import annotations





def 			_snake_case  (     UpperCAmelCase_	:       list[list[int]]       , UpperCAmelCase_	:       list[list[int]]      ):
     assert len(UpperCAmelCase_      ) == len(UpperCAmelCase_      )

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

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

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






