






"""simple docstring"""


import sys




def      snake_case    (A_ :int      ,     A_ :list[int] ):







  '''simple docstring'''

  if not numbers:
    return 0
  if target == 0 and target in numbers:
    return 0
  if not isinstance(A_      ,     (list, tuple) ) or not all(
      isinstance(A_      ,     A_ ) for number in numbers ):
    raise ValueError('numbers must be an iterable of integers' )

  a	:     Any							=  0
  a	:     Any							=  sys.maxsize

  while right < len(A_ ):
    curr_sum += numbers[right]
    while curr_sum >= target and left <= right:
      a	:     List[str]							=  min(A_      ,     right - left + 1 )
      curr_sum -= numbers[left]
      left += 1
    right += 1

  return 0 if min_len == sys.maxsize else min_len












"""simple docstring"""


from __future__ import annotations




def      snake_case    (A_ :list[int | float]      ,     A_ :int      ,     A_ :int ):







  '''simple docstring'''

  if len(A_ ) == 0:
    raise ValueError('find_min() arg is an empty sequence' )
  if (
      left >= len(A_ )
      or left < -len(A_ )
      or right >= len(A_ )
      or right < -len(A_ )
  ):
    raise IndexError('list index out of range' )
  if left == right:
    return nums[left]
  a	:     Optional[Any]							=  (left + right) >> 1  # the middle
  a	:     List[str]							=  find_min(A_      ,     A_      ,     A_ )  # find min in range[left, mid]
  a	:     Union[str, Any]							=  find_min(A_      ,     mid + 1      ,     A_ )  # find min in range[mid + 1, right]

  return left_min if left_min <= right_min else right_min


if __name__ == "__main__":
   import doctest

   doctest.testmod(verbose=True)




