


from __future__ import annotations
def 				UpperCamelCase_	(					__snake_case      :    Tuple						,      __snake_case      :    Optional[int]  )->   Optional[int]:




						'''simple docstring'''
						__magic_name__					=      0
						__magic_name__					=      len(UpperCAmelCase_  ) - 1
						while left <= right:
												__magic_name__					=      (left + right) // 2
												if left == right:
																		if sorted_list[middle] < item:
																								__magic_name__					=      middle + 1
																		break
												elif sorted_list[middle] < item:
																		__magic_name__					=      middle + 1
												else:
																		__magic_name__					=      middle - 1
						sorted_list.insert(UpperCAmelCase_						,      UpperCAmelCase_  )
						return sorted_list
def 				UpperCamelCase_	(					__snake_case      :    Dict						,      __snake_case      :    Tuple  )->   int:




						'''simple docstring'''
						__magic_name__					=      []
						while left and right:
												if left[0][0] < right[0][0]:
																		result.append(left.pop(0  )  )
												else:
																		result.append(right.pop(0  )  )
						return result + left + right
def 				UpperCamelCase_	(					__snake_case      :    List[str]  )->   Optional[int]:




						'''simple docstring'''
						__magic_name__					=      len(UpperCAmelCase_  )
						if length <= 1:
												return list_ad
						__magic_name__					=      length // 2
						return merge(sortlist_ad(list_ad[:middle]  )						,      sortlist_ad(list_ad[middle:]  )  )
def 				UpperCamelCase_	(					__snake_case      :    list[int]  )->   Any:




						'''simple docstring'''

						if len(UpperCAmelCase_  ) <= 1:
												return collection
						__magic_name__					=      []
						__magic_name__					=      False
						for i in range(0						,      len(UpperCAmelCase_  )						,      2  ):
												if i == len(UpperCAmelCase_  ) - 1:
																		__magic_name__					=      True
												else:
																		if collection[i] < collection[i + 1]:
																								two_paired_list.append([collection[i], collection[i + 1]]  )
																		else:
																								two_paired_list.append([collection[i + 1], collection[i]]  )
						__magic_name__					=      sortlist_ad(UpperCAmelCase_  )
						__magic_name__					=      [i[0] for i in sorted_list_ad]
						result.append(sorted_list_ad[-1][1]  )
						if has_last_odd_item:
												__magic_name__					=      collection[-1]
												__magic_name__					=      binary_search_insertion(UpperCAmelCase_						,      UpperCAmelCase_  )
						__magic_name__					=      False
						for i in range(len(UpperCAmelCase_  ) - 1  ):
												if result[i] == collection[-1] and has_last_odd_item:
																		__magic_name__					=      True
												__magic_name__					=      sorted_list_ad[i][1]
												# If last_odd_item is inserted before the item's index,
												# you should forward index one more.
												if is_last_odd_item_inserted_before_this_index:
																		__magic_name__					=      result[: i + 2] + binary_search_insertion(result[i + 2 :]						,      UpperCAmelCase_  )
												else:
																		__magic_name__					=      result[: i + 1] + binary_search_insertion(result[i + 1 :]						,      UpperCAmelCase_  )

						return result


if __name__ == "__main__":
					UpperCamelCase			:					List[Any]         =							input('''Enter numbers separated by a comma:\n''').strip()
					UpperCamelCase			:					Optional[int]         =							[int(item) for item in user_input.split(''',''')]
					print(merge_insertion_sort(unsorted))




"""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






