





from __future__ import annotations

import bisect
def 					_A	(		SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int = 0	,	SCREAMING_SNAKE_CASE					:       int = -1						):





  """simple docstring"""



  if hi < 0:
    a__     : List[Any]  =len(SCREAMING_SNAKE_CASE						)

  while lo < hi:
    a__     : Union[str, Any]  =lo + (hi - lo) // 2
    if sorted_collection[mid] < item:
      a__     : Union[str, Any]  =mid + 1
    else:
      a__     : List[str]  =mid

  return lo
def 					_A	(		SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int = 0	,	SCREAMING_SNAKE_CASE					:       int = -1						):





  """simple docstring"""



  if hi < 0:
    a__     : List[str]  =len(SCREAMING_SNAKE_CASE						)

  while lo < hi:
    a__     : str  =lo + (hi - lo) // 2
    if sorted_collection[mid] <= item:
      a__     : str  =mid + 1
    else:
      a__     : str  =mid

  return lo
def 					_A	(		SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int = 0	,	SCREAMING_SNAKE_CASE					:       int = -1						):





  """simple docstring"""



  sorted_collection.insert(bisect_left(SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE						)	,	SCREAMING_SNAKE_CASE						)
def 					_A	(		SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int = 0	,	SCREAMING_SNAKE_CASE					:       int = -1						):





  """simple docstring"""



  sorted_collection.insert(bisect_right(SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE						)	,	SCREAMING_SNAKE_CASE						)
def 					_A	(		SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int						):





  """simple docstring"""



  a__     : Optional[Any]  =0
  a__     : str  =len(SCREAMING_SNAKE_CASE						) - 1

  while left <= right:
    a__     : Union[str, Any]  =left + (right - left) // 2
    a__     : int  =sorted_collection[midpoint]
    if current_item == item:
      return midpoint
    elif item < current_item:
      a__     : Optional[Any]  =midpoint - 1
    else:
      a__     : Dict  =midpoint + 1
  return None
def 					_A	(		SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int						):





  """simple docstring"""



  a__     : Any  =bisect.bisect_left(SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE						)
  if index != len(SCREAMING_SNAKE_CASE						) and sorted_collection[index] == item:
    return index
  return None
def 					_A	(		SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int						):





  """simple docstring"""



  if right < left:
    return None

  a__     : Optional[int]  =left + (right - left) // 2

  if sorted_collection[midpoint] == item:
    return midpoint
  elif sorted_collection[midpoint] > item:
    return binary_search_by_recursion(SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	midpoint - 1						)
  else:
    return binary_search_by_recursion(SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	midpoint + 1	,	SCREAMING_SNAKE_CASE						)


if __name__ == "__main__":
     UpperCAmelCase     :     Tuple							=	input("""Enter numbers separated by comma:\n""").strip()
     UpperCAmelCase     :     List[str]							=	sorted(int(item) for item in user_input.split(""","""))
     UpperCAmelCase     :     int							=	int(input("""Enter a single number to be found in the list:\n"""))
     UpperCAmelCase     :     str							=	binary_search(collection, target)
     if result is None:
          print(F"""{target} was not found in {collection}.""")
     else:
          print(F"""{target} was found at position {result} in {collection}.""")













UpperCAmelCase     :     Dict							=	[0, 2, 4, 6, 8]
UpperCAmelCase     :     Tuple							=	[1, 3, 5, 7, 9]
def 					_A	(		SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       int	,	SCREAMING_SNAKE_CASE					:       list[int]	,	SCREAMING_SNAKE_CASE					:       int						):





  """simple docstring"""



  if remaining_length == 0:
    if digits[0] == 0 or digits[-1] == 0:
      return 0

    for i in range(length // 2 - 1	,	-1	,	-1						):
      remainder += digits[i] + digits[length - i - 1]

      if remainder % 2 == 0:
        return 0

      remainder //= 10

    return 1

  if remaining_length == 1:
    if remainder % 2 == 0:
      return 0

    a__     : str  =0
    for digit in range(10						):
      a__     : int  =digit
      result += reversible_numbers(
          0	,	(remainder + 2 * digit) // 10	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE						)
    return result

  a__     : List[str]  =0
  for digita in range(10						):
    a__     : Optional[int]  =digita

    if (remainder + digita) % 2 == 0:
      a__     : Dict  =ODD_DIGITS
    else:
      a__     : Any  =EVEN_DIGITS

    for digita in other_parity_digits:
      a__     : Union[str, Any]  =digita
      result += reversible_numbers(
          remaining_length - 2	,	(remainder + digita + digita) // 10	,	SCREAMING_SNAKE_CASE	,	SCREAMING_SNAKE_CASE	,	)
  return result
def 					_A	(		SCREAMING_SNAKE_CASE					:       int = 9						):





  """simple docstring"""



  a__     : List[str]  =0
  for length in range(1	,	max_power + 1						):
    result += reversible_numbers(SCREAMING_SNAKE_CASE	,	0	,	[0] * length	,	SCREAMING_SNAKE_CASE						)
  return result


if __name__ == "__main__":
     print(F"""{solution() = }""")






