


from __future__ import annotations

from dataclasses import dataclass


@dataclass
class 			_a				:
							_lowercase      :     float
							_lowercase      :     TreeNode | None     =					None
							_lowercase      :     TreeNode | None     =					None
def      _a					( SCREAMING_SNAKE_CASE	):


		"""simple docstring"""




		def is_valid_tree(SCREAMING_SNAKE_CASE	) -> bool:
				if node is None:
						return True

				if not isinstance(SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	):
						return False

				try:
						float(node.data	)
				except (TypeError, ValueError):
						return False

				return is_valid_tree(node.left	) and is_valid_tree(node.right	)

		if not is_valid_tree(SCREAMING_SNAKE_CASE	):
				raise ValueError(
				    '''Each node should be type of TreeNode and data should be float.'''	)

		def is_binary_search_tree_recursive_check(
		    SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE		,							SCREAMING_SNAKE_CASE	) -> bool:

				if node is None:
						return True

				return (
				    left_bound < node.data < right_bound
				    and is_binary_search_tree_recursive_check(node.left		,							SCREAMING_SNAKE_CASE		,							node.data	)
				    and is_binary_search_tree_recursive_check(
				        node.right		,							node.data		,							SCREAMING_SNAKE_CASE	)
				)

		return is_binary_search_tree_recursive_check(SCREAMING_SNAKE_CASE		,							-float('''inf'''	)		,							float('''inf'''	)	)


if __name__ == "__main__":
			import doctest

			doctest.testmod()










__magic_name__   :  Optional[Any]        =							0  # The first color of the flag.
__magic_name__   :  List[str]        =							1  # The second color of the flag.
__magic_name__   :  Dict        =							2  # The third color of the flag.
__magic_name__   :  Union[str, Any]        =							(red, white, blue)
def 		lowercase__  (				_UpperCamelCase) ->			list:
      """simple docstring"""

      if not sequence:
            return []
      if len(_UpperCamelCase) == 1:
            return list(_UpperCamelCase)
      UpperCamelCase					       =  0
      UpperCamelCase					       =  len(_UpperCamelCase) - 1
      UpperCamelCase					       =  0
      while mid <= high:
            if sequence[mid] == colors[0]:
                  UpperCamelCase       ,  UpperCamelCase					       =  sequence[mid], sequence[low]
                  low += 1
                  mid += 1
            elif sequence[mid] == colors[1]:
                  mid += 1
            elif sequence[mid] == colors[2]:
                  UpperCamelCase       ,  UpperCamelCase					       =  sequence[high], sequence[mid]
                  high -= 1
            else:
                  UpperCamelCase					       =  F'The elements inside the sequence must contains only {colors} values'
                  raise ValueError(_UpperCamelCase)
      return sequence


if __name__ == "__main__":
       import doctest

       doctest.testmod()

       __magic_name__   :  str        =							input('''Enter numbers separated by commas:\n''').strip()
       __magic_name__   :  Union[str, Any]        =							[int(item.strip()) for item in user_input.split(''',''')]
       print(F'{dutch_national_flag_sort(unsorted)}')



