

"""simple docstring"""




from __future__ import annotations

from collections.abc import Iterator



class 			lowerCAmelCase_		:


				"""simple docstring"""



				def __init__(self     , SCREAMING_SNAKE_CASE__					)      ->	str:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: int     =     value
											SCREAMING_SNAKE_CASE__		: Node | None     =     None
											SCREAMING_SNAKE_CASE__		: Node | None     =     None






class 			lowerCAmelCase_		:


				"""simple docstring"""



				def __init__(self     , SCREAMING_SNAKE_CASE__					)      ->	Any:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__		: Optional[int]     =     tree



				def 			__magic_name__					(self     , SCREAMING_SNAKE_CASE__					)      ->	Optional[int]:



											"""simple docstring"""




											if node is None:
																		return 0
											return node.value + (
											    self.depth_first_search(node.left					) + self.depth_first_search(node.right					)
											)



				def __iter__(self					)      ->	Optional[int]:



											"""simple docstring"""




											yield self.depth_first_search(self.tree					)


if __name__ == "__main__":
					import doctest

					doctest.testmod()






"""simple docstring"""




UpperCAmelCase__   :					Dict												=				[
    (1_0_0_0, 'M'),
    (9_0_0, 'CM'),
    (5_0_0, 'D'),
    (4_0_0, 'CD'),
    (1_0_0, 'C'),
    (9_0, 'XC'),
    (5_0, 'L'),
    (4_0, 'XL'),
    (1_0, 'X'),
    (9, 'IX'),
    (5, 'V'),
    (4, 'IV'),
    (1, 'I'),
]

def lowercase_						(     _snake_case		):
							SCREAMING_SNAKE_CASE__		: Union[str, Any]     =     {"""I""": 1, """V""": 5, """X""": 10, """L""": 50, """C""": 100, """D""": 500, """M""": 1_000}
							SCREAMING_SNAKE_CASE__		: Union[str, Any]     =     0
							SCREAMING_SNAKE_CASE__		: Union[str, Any]     =     0
							while place < len(_snake_case		):
														if (place + 1 < len(_snake_case		)) and (vals[roman[place]] < vals[roman[place + 1]]):
																					total += vals[roman[place + 1]] - vals[roman[place]]
																					place += 2
														else:
																					total += vals[roman[place]]
																					place += 1
							return total

def lowercase_						(     _snake_case		):
							SCREAMING_SNAKE_CASE__		: Optional[Any]     =     []
							for arabic, roman in ROMAN:
														((SCREAMING_SNAKE_CASE__)   ,   (SCREAMING_SNAKE_CASE__))		: List[Any]     =     divmod(_snake_case     ,_snake_case		)
														result.append(roman * factor		)
														if number == 0:
																					break
							return "".join(_snake_case		)


if __name__ == "__main__":
					import doctest

					doctest.testmod()




