




"""simple docstring"""




import os

a_        =       {'I': 1, 'V': 5, 'X': 1_0, 'L': 5_0, 'C': 1_0_0, 'D': 5_0_0, 'M': 1_0_0_0}







def      __UpperCAmelCase     ( __UpperCamelCase	):
			__lowercase			:  Optional[Any]								=       0

			__lowercase			:  List[Any]								=       0
			while index < len(__UpperCamelCase	) - 1:
						__lowercase			:  Any								=       SYMBOLS[numerals[index]]
						__lowercase			:  Any								=       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     ( __UpperCamelCase	):
			__lowercase			:  List[str]								=       ''''''

			__lowercase			:  str								=       num // 10_00
			numerals += m_count * "M"
			num %= 10_00

			__lowercase			:  Any								=       num // 1_00
			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 %= 1_00

			__lowercase			:  List[Any]								=       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     ( __UpperCamelCase = "/p089_roman.txt"	):
			__lowercase			:  str								=       0

			with open(os.path.dirname(__UpperCamelCase	) + roman_numerals_filename	) as filea:
						__lowercase			:  Tuple								=       filea.readlines()

			for line in lines:
						__lowercase			:  List[str]								=       line.strip()
						__lowercase			:  Union[str, Any]								=       parse_roman_numerals(__UpperCamelCase	)
						__lowercase			:  List[Any]								=       generate_roman_numerals(__UpperCamelCase	)
						savings += len(__UpperCamelCase	) - len(__UpperCamelCase	)

			return savings


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










def       UpperCamelCase__(			UpperCamelCase__     :			str					,	UpperCamelCase__     :			str    )->str:
       assert x is not None
       assert y is not None

       A__		   =		len(UpperCamelCase__    )
       A__		   =		len(UpperCamelCase__    )

       # declaring the array for storing the dp values
       A__		   =		[[0] * (n + 1) for _ in range(m + 1    )]  # noqa: E741

       for i in range(1					,	m + 1    ):
              for j in range(1					,	n + 1    ):
                     A__		   =		1 if x[i - 1] == y[j - 1] else 0

                     A__		   =		max(l[i - 1][j]					,	l[i][j - 1]					,	l[i - 1][j - 1] + match    )

       A__		   =		''''''
       A__   ,      A__		   =		m, n
       while i > 0 and j > 0:
              A__		   =		1 if x[i - 1] == y[j - 1] else 0

              if l[i][j] == l[i - 1][j - 1] + match:
                     if match == 1:
                            A__		   =		x[i - 1] + seq
                     i -= 1
                     j -= 1
              elif l[i][j] == l[i - 1][j]:
                     i -= 1
              else:
                     j -= 1

       return l[m][n], seq


if __name__ == "__main__":
       a__: Tuple							   =						'AGGTAB'
       a__: Tuple							   =						'GXTXAYB'
       a__: List[Any]							   =						4
       a__: Optional[Any]							   =						'GTAB'

       a__   ,     a__: List[str]							   =						longest_common_subsequence(a, b)
       print('len =', ln, ', sub-sequence =', subseq)
       import doctest

       doctest.testmod()





