

"""simple docstring"""


from __future__ import annotations




def  _lowercase					(    __lowerCAmelCase							)       ->				list[int]:
      SCREAMING_SNAKE_CASE__   :      Optional[int]      		=	[True] * limit
      SCREAMING_SNAKE_CASE__   :      int      		=	False
      SCREAMING_SNAKE_CASE__   :      Any      		=	False
      SCREAMING_SNAKE_CASE__   :      int      		=	True

      for i in range(3  ,					int(limit**0.5 + 1							)  ,					2							):
            SCREAMING_SNAKE_CASE__   :      Dict      		=	i * 2
            while index < limit:
                  SCREAMING_SNAKE_CASE__   :      int      		=	False
                  SCREAMING_SNAKE_CASE__   :      List[str]      		=	index + i

      SCREAMING_SNAKE_CASE__   :      Any      		=	[2]

      for i in range(3  ,					__lowerCAmelCase  ,					2							):
            if is_prime[i]:
                  primes.append(__lowerCAmelCase							)

      return primes




def  _lowercase					(    __lowerCAmelCase = 100_0000							)       ->				int:
      SCREAMING_SNAKE_CASE__   :      List[Any]      		=	prime_sieve(__lowerCAmelCase							)
      SCREAMING_SNAKE_CASE__   :      Dict      		=	0
      SCREAMING_SNAKE_CASE__   :      Tuple      		=	0

      for i in range(len(__lowerCAmelCase							)							):
            for j in range(i + length  ,					len(__lowerCAmelCase							)							):
                  SCREAMING_SNAKE_CASE__   :      Tuple      		=	sum(primes[i:j]							)
                  if sol >= ceiling:
                        break

                  if sol in primes:
                        SCREAMING_SNAKE_CASE__   :      Any      		=	j - i
                        SCREAMING_SNAKE_CASE__   :      Dict      		=	sol

      return largest


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







"""simple docstring"""


a					:List[str]    = [
    (1_000, "M"),
    (900, "CM"),
    (500, "D"),
    (400, "CD"),
    (100, "C"),
    (90, "XC"),
    (50, "L"),
    (40, "XL"),
    (10, "X"),
    (9, "IX"),
    (5, "V"),
    (4, "IV"),
    (1, "I"),
]




def  _lowercase					(    __lowerCAmelCase							)       ->				int:
      SCREAMING_SNAKE_CASE__   :      Optional[Any]      		=	{"""I""": 1, """V""": 5, """X""": 10, """L""": 50, """C""": 100, """D""": 500, """M""": 1000}
      SCREAMING_SNAKE_CASE__   :      List[Any]      		=	0
      SCREAMING_SNAKE_CASE__   :      List[str]      		=	0
      while place < len(__lowerCAmelCase							):
            if (place + 1 < len(__lowerCAmelCase							)) 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					(    __lowerCAmelCase							)       ->				str:
      SCREAMING_SNAKE_CASE__   :      Any      		=	[]
      for arabic, roman in ROMAN:
            ((SCREAMING_SNAKE_CASE__)		,		(SCREAMING_SNAKE_CASE__))   :      List[str]      		=	divmod(__lowerCAmelCase  ,					__lowerCAmelCase							)
            result.append(roman * factor							)
            if number == 0:
                  break
      return "".join(__lowerCAmelCase							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()




