






from __future__ import annotations





def 						A_					(						lowercase_	,  lowercase_			)				->List[str]:







 """simple docstring"""

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





def 						A_					(						lowercase_	,  lowercase_			)				->Union[str, Any]:







 """simple docstring"""

 SCREAMING_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 						A_					(						lowercase_			)				->Union[str, Any]:







 """simple docstring"""

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





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







 """simple docstring"""

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

 return result


if __name__ == "__main__":
      __UpperCAmelCase      =				input("Enter numbers separated by a comma:\n").strip()
      __UpperCAmelCase      =				[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()




