



"""simple docstring"""







from __future__ import annotations

def 							UpperCamelCase_       (       lowerCAmelCase__ :							list[int | float]       ,  lowerCAmelCase__ :							int       ,  lowerCAmelCase__ :							int		)		->  int | float:

  """simple docstring"""




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










"""simple docstring"""







from .stack import Stack

def 							UpperCamelCase_       (       lowerCAmelCase__ :							str		)		->  bool:

  """simple docstring"""




  lowerCAmelCase_  :							Stack[str]								=					Stack()
  lowerCAmelCase_  :							List[str]								=					{'(': ')', '[': ']', '{': '}'}
  for bracket in parentheses:
    if bracket in bracket_pairs:
      stack.push(lowerCAmelCase__		)
    elif bracket in (")", "]", "}"):
      if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
        return False
  return stack.is_empty()


if __name__ == "__main__":
     from doctest import testmod

     testmod()

     lowercase__						:							List[str]        =      ["""((()))""", """((())""", """(()))"""]
     print("""Balanced parentheses demonstration:\n""")
     for example in examples:
          lowercase__						:							List[Any]        =      """""" if balanced_parentheses(example) else """not """
          print(f'{example} is {not_str}balanced')





