






'''simple docstring'''







import os

UpperCamelCase     :   int	      =		{'I': 1, 'V': 5, 'X': 10, 'L': 50, 'C': 1_00, 'D': 5_00, 'M': 10_00}
def     A__      (					__lowerCAmelCase		:      str    ):
						lowerCamelCase__								=	0

						lowerCamelCase__								=	0
						while index < len(__lowerCAmelCase    ) - 1:
												lowerCamelCase__								=	SYMBOLS[numerals[index]]
												lowerCamelCase__								=	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     A__      (					__lowerCAmelCase		:      int    ):
						lowerCamelCase__								=	""""""

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

						lowerCamelCase__								=	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

						lowerCamelCase__								=	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     A__      (					__lowerCAmelCase		:      str = "/p089_roman.txt"    ):
						lowerCamelCase__								=	0

						with open(os.path.dirname(__lowerCAmelCase    ) + roman_numerals_filename    ) as filea:
												lowerCamelCase__								=	filea.readlines()

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

						return savings


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




"""simple docstring"""
from __future__ import annotations

from functools import lru_cache
from math import ceil

_A							=  1_00

_A							=  set(range(3, NUM_PRIMES, 2))
primes.add(2)
_A							=  42

for prime in range(3, ceil(NUM_PRIMES**0.5), 2):
    if prime not in primes:
        continue
    primes.difference_update(set(range(prime * prime, NUM_PRIMES, prime)))




@lru_cache(maxsize=1_00    )
def 					a__						(						lowerCAmelCase    )	-> set[int]:
      if number_to_partition < 0:
            return set()
      elif number_to_partition == 0:
            return {1}

      UpperCAmelCase__			:							set[int]							=    set()
      UpperCAmelCase__			:							int
      UpperCAmelCase__			:							int

      for prime in primes:
            if prime > number_to_partition:
                  continue
            for sub in partition(number_to_partition - prime    ):
                  ret.add(sub * prime    )

      return ret




def 					a__						(						lowerCAmelCase = 50_00    )	-> int | None:
      for number_to_partition in range(1			,	lowerCAmelCase    ):
            if len(partition(lowerCAmelCase    )    ) > number_unique_partitions:
                  return number_to_partition
      return None


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

