



'''simple docstring'''





from __future__ import annotations





def    a_					(						_UpperCAmelCase  :	Optional[int]      ,_UpperCAmelCase  :	Dict							)  ->   Optional[Any]:
      __snake_case      :					Dict						=  0
      __snake_case      :					int						=  len(lowercase_							) - 1
      while left <= right:
            __snake_case      :					Any						=  (left + right) // 2
            if left == right:
                  if sorted_list[middle] < item:
                        __snake_case      :					str						=  middle + 1
                  break
            elif sorted_list[middle] < item:
                  __snake_case      :					Union[str, Any]						=  middle + 1
            else:
                  __snake_case      :					List[Any]						=  middle - 1
      sorted_list.insert(lowercase_      ,lowercase_							)
      return sorted_list





def    a_					(						_UpperCAmelCase  :	List[Any]      ,_UpperCAmelCase  :	List[str]							)  ->   int:
      __snake_case      :					int						=  []
      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    a_					(						_UpperCAmelCase  :	List[Any]							)  ->   Tuple:
      __snake_case      :					Dict						=  len(lowercase_							)
      if length <= 1:
            return list_ad
      __snake_case      :					Optional[int]						=  length // 2
      return merge(sortlist_ad(list_ad[:middle]							)      ,sortlist_ad(list_ad[middle:]							)							)





def    a_					(						_UpperCAmelCase  :	Union[str, Any]							)  ->   list[int]:


      if len(lowercase_							) <= 1:
            return collection
      __snake_case      :					Optional[Any]						=  []
      __snake_case      :					Union[str, Any]						=  False
      for i in range(0      ,len(lowercase_							)      ,2							):
            if i == len(lowercase_							) - 1:
                  __snake_case      :					List[str]						=  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]]							)
      __snake_case      :					Dict						=  sortlist_ad(lowercase_							)
      __snake_case      :					List[str]						=  [i[0] for i in sorted_list_ad]
      result.append(sorted_list_ad[-1][1]							)
      if has_last_odd_item:
            __snake_case      :					List[str]						=  collection[-1]
            __snake_case      :					int						=  binary_search_insertion(lowercase_      ,lowercase_							)
      __snake_case      :					List[str]						=  False
      for i in range(len(lowercase_							) - 1							):
            if result[i] == collection[-1] and has_last_odd_item:
                  __snake_case      :					str						=  True
            __snake_case      :					Union[str, Any]						=  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:
                  __snake_case      :					Optional[int]						=  result[: i + 2] + binary_search_insertion(result[i + 2 :]      ,lowercase_							)
            else:
                  __snake_case      :					Optional[Any]						=  result[: i + 1] + binary_search_insertion(result[i + 1 :]      ,lowercase_							)

      return result


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









def     __SCREAMING_SNAKE_CASE      (     lowercase_    ,   lowercase_					)				->		int:

    """simple docstring"""


    __UpperCamelCase     						=  0
    for ele in arr:
        total_sum += product_sum(lowercase_    ,   depth + 1					) if isinstance(lowercase_    ,   lowercase_					) else ele
    return total_sum * depth




def     __SCREAMING_SNAKE_CASE      (     lowercase_					)				->		int:

    """simple docstring"""


    return product_sum(lowercase_    ,   1					)


if __name__ == "__main__":
 import doctest

 doctest.testmod()






