from __future__ import annotations






def  UpperCAmelCase__(    lowerCamelCase_				,						lowerCamelCase_	):



			"""simple docstring"""





			_snake_case														=   0
			_snake_case														=   len(lowercase_	) - 1
			while left <= right:
						_snake_case														=   (left + right) // 2
						if left == right:
									if sorted_list[middle] < item:
												_snake_case														=   middle + 1
									break
						elif sorted_list[middle] < item:
									_snake_case														=   middle + 1
						else:
									_snake_case														=   middle - 1
			sorted_list.insert(lowercase_				,						lowercase_	)
			return sorted_list






def  UpperCAmelCase__(    lowerCamelCase_				,						lowerCamelCase_	):



			"""simple docstring"""





			_snake_case														=   []
			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__(    lowerCamelCase_	):



			"""simple docstring"""





			_snake_case														=   len(lowercase_	)
			if length <= 1:
						return list_ad
			_snake_case														=   length // 2
			return merge(sortlist_ad(list_ad[:middle]	)				,						sortlist_ad(list_ad[middle:]	)	)






def  UpperCAmelCase__(    lowerCamelCase_	):



			"""simple docstring"""





			if len(lowercase_	) <= 1:
						return collection
			_snake_case														=   []
			_snake_case														=   False
			for i in range(0				,						len(lowercase_	)				,						2	):
						if i == len(lowercase_	) - 1:
									_snake_case														=   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														=   sortlist_ad(lowercase_	)
			_snake_case														=   [i[0] for i in sorted_list_ad]
			result.append(sorted_list_ad[-1][1]	)
			if has_last_odd_item:
						_snake_case														=   collection[-1]
						_snake_case														=   binary_search_insertion(lowercase_				,						lowercase_	)
			_snake_case														=   False
			for i in range(len(lowercase_	) - 1	):
						if result[i] == collection[-1] and has_last_odd_item:
									_snake_case														=   True
						_snake_case														=   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														=   result[: i + 2] + binary_search_insertion(result[i + 2 :]				,						lowercase_	)
						else:
									_snake_case														=   result[: i + 1] + binary_search_insertion(result[i + 1 :]				,						lowercase_	)

			return result


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









from collections import namedtuple

__UpperCAmelCase      =				namedtuple("from_to", "from_ to")

__UpperCAmelCase      =				{
    "millimeter": "mm",
    "centimeter": "cm",
    "meter": "m",
    "kilometer": "km",
    "inch": "in",
    "inche": "in",  # Trailing 's' has been stripped off
    "feet": "ft",
    "foot": "ft",
    "yard": "yd",
    "mile": "mi",
}

__UpperCAmelCase      =				{
    "mm": from_to(0.001, 1_0_0_0),
    "cm": from_to(0.01, 1_0_0),
    "m": from_to(1, 1),
    "km": from_to(1_0_0_0, 0.001),
    "in": from_to(0.0_254, 39.3_701),
    "ft": from_to(0.3_048, 3.28_084),
    "yd": from_to(0.9_144, 1.09_361),
    "mi": from_to(1_609.34, 0.000_621_371),
}





def 						A_					(						lowercase_	,  lowercase_	,  lowercase_			)				->float:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		from_type.lower().rstrip('s'			)
 SCREAMING_SNAKE_CASE				    =		TYPE_CONVERSION.get(lowercase_	,  lowercase_			)
 SCREAMING_SNAKE_CASE				    =		to_type.lower().rstrip('s'			)
 SCREAMING_SNAKE_CASE				    =		TYPE_CONVERSION.get(lowercase_	,  lowercase_			)
 if new_from not in METRIC_CONVERSION:
  SCREAMING_SNAKE_CASE				    =		(
      f'''Invalid \'from_type\' value: {from_type!r}.\n'''
      f'''Conversion abbreviations are: {', '.join(lowercase_			)}'''
  )
  raise ValueError(lowercase_			)
 if new_to not in METRIC_CONVERSION:
  SCREAMING_SNAKE_CASE				    =		(
      f'''Invalid \'to_type\' value: {to_type!r}.\n'''
      f'''Conversion abbreviations are: {', '.join(lowercase_			)}'''
  )
  raise ValueError(lowercase_			)
 return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
      import doctest

      doctest.testmod()




