



"""simple docstring"""





def 	UpperCAmelCase     (		A	:						float     ,				A	:						float       ):

		'''simple docstring'''


		if mass < 0:
				raise ValueError('The mass of a body cannot be negative'       )
		return 0.5 * mass * abs(A       ) * abs(A       )


if __name__ == "__main__":
					import doctest

					doctest.testmod(verbose=True)







"""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() = }''')


