



"""simple docstring"""





from __future__ import annotations




class 			lowercase__			:
							'''simple docstring'''







							def __init__(  self	,       snake_case						)			->							None:
									_UpperCAmelCase							 =		data
									_UpperCAmelCase							 =		None
									_UpperCAmelCase							 =		None





def 	UpperCAmelCase     (		A	:						Tuple       ):  # In Order traversal of the tree

		'''simple docstring'''


		if tree:
				display(tree.left       )
				print(tree.data       )
				display(tree.right       )




def 	UpperCAmelCase     (		A	:						str       ):

		'''simple docstring'''


		return 1 + max(depth_of_tree(tree.left       )     ,				depth_of_tree(tree.right       )       ) if tree else 0




def 	UpperCAmelCase     (		A	:						Tuple       ):

		'''simple docstring'''


		if not tree:
				return True
		if tree.left and tree.right:
				return is_full_binary_tree(tree.left       ) and is_full_binary_tree(tree.right       )
		else:
				return not tree.left and not tree.right




def 	UpperCAmelCase     (		):  # Main function for testing.

		'''simple docstring'''


		_UpperCAmelCase							 =		Node(1       )
		_UpperCAmelCase							 =		Node(2       )
		_UpperCAmelCase							 =		Node(3       )
		_UpperCAmelCase							 =		Node(4       )
		_UpperCAmelCase							 =		Node(5       )
		_UpperCAmelCase							 =		Node(6       )
		_UpperCAmelCase							 =		Node(7       )
		_UpperCAmelCase							 =		Node(8       )
		_UpperCAmelCase							 =		Node(9       )

		print(is_full_binary_tree(_lowercase       )       )
		print(depth_of_tree(_lowercase       )       )
		print('Tree is: '       )
		display(_lowercase       )


if __name__ == "__main__":
					main()







"""simple docstring"""





import os

lowercase  							=					{'''I''': 1, '''V''': 5, '''X''': 10, '''L''': 50, '''C''': 1_00, '''D''': 5_00, '''M''': 10_00}




def 	UpperCAmelCase     (		A	:						str       ):

		'''simple docstring'''


		_UpperCAmelCase							 =		0

		_UpperCAmelCase							 =		0
		while index < len(A       ) - 1:
				_UpperCAmelCase							 =		SYMBOLS[numerals[index]]
				_UpperCAmelCase							 =		SYMBOLS[numerals[index + 1]]
				if current_value < next_value:
						total_value -= current_value
				else:
						total_value += current_value
				index += 1
		total_value += SYMBOLS[numerals[index]]

		return total_value




def 	UpperCAmelCase     (		A	:						int       ):

		'''simple docstring'''


		_UpperCAmelCase							 =		''

		_UpperCAmelCase							 =		num // 1000
		numerals += m_count * "M"
		num %= 1000

		_UpperCAmelCase							 =		num // 100
		if c_count == 9:
				numerals += "CM"
				c_count -= 9
		elif c_count == 4:
				numerals += "CD"
				c_count -= 4
		if c_count >= 5:
				numerals += "D"
				c_count -= 5
		numerals += c_count * "C"
		num %= 100

		_UpperCAmelCase							 =		num // 10
		if x_count == 9:
				numerals += "XC"
				x_count -= 9
		elif x_count == 4:
				numerals += "XL"
				x_count -= 4
		if x_count >= 5:
				numerals += "L"
				x_count -= 5
		numerals += x_count * "X"
		num %= 10

		if num == 9:
				numerals += "IX"
				num -= 9
		elif num == 4:
				numerals += "IV"
				num -= 4
		if num >= 5:
				numerals += "V"
				num -= 5
		numerals += num * "I"

		return numerals




def 	UpperCAmelCase     (		A	:						str = "/p089_roman.txt"       ):

		'''simple docstring'''


		_UpperCAmelCase							 =		0

		with open(os.path.dirname(A       ) + roman_numerals_filename       ) as filea:
				_UpperCAmelCase							 =		filea.readlines()

		for line in lines:
				_UpperCAmelCase							 =		line.strip()
				_UpperCAmelCase							 =		parse_roman_numerals(A       )
				_UpperCAmelCase							 =		generate_roman_numerals(A       )
				savings += len(A       ) - len(A       )

		return savings


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


