
lowercase  :					Optional[int]						    =							[
    (1000, """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 						_snake_case(  SCREAMING_SNAKE_CASE__				) ->    int:
       lowercase							:     str       	=      {"""I""": 1, """V""": 5, """X""": 10, """L""": 50, """C""": 100, """D""": 500, """M""": 1_000}
       lowercase							:     List[Any]       	=      0
       lowercase							:     str       	=      0
       while place < len(SCREAMING_SNAKE_CASE__				):
              if (place + 1 < len(SCREAMING_SNAKE_CASE__				)) 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 						_snake_case(  SCREAMING_SNAKE_CASE__				) ->    str:
       lowercase							:     str       	=      []
       for arabic, roman in ROMAN:
              ((lowercase)	,			(lowercase))							:     Any       	=      divmod(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				)
              result.append(roman * factor				)
              if number == 0:
                     break
       return "".join(SCREAMING_SNAKE_CASE__				)


if __name__ == "__main__":
  import doctest

  doctest.testmod()


from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass

@dataclass
class __snake_case		:
    _a		:						int
    _a		:						TreeNode | None=				None
    _a		:						TreeNode | None=				None






lowercase  :					Dict						    =							namedtuple("""CoinsDistribResult""", """moves excess""")







def 						_snake_case(  SCREAMING_SNAKE_CASE__				) ->    int:

       if root is None:
              return 0

       # Validation
       def count_nodes(SCREAMING_SNAKE_CASE__				) -> int:
              if node is None:
                     return 0

              return count_nodes(node.left				) + count_nodes(node.right				) + 1

       def count_coins(SCREAMING_SNAKE_CASE__				) -> int:
              if node is None:
                     return 0

              return count_coins(node.left				) + count_coins(node.right				) + node.data

       if count_nodes(SCREAMING_SNAKE_CASE__				) != count_coins(SCREAMING_SNAKE_CASE__				):
              raise ValueError("""The nodes number should be same as the number of coins"""				)

       # Main calculation
       def get_distrib(SCREAMING_SNAKE_CASE__				) -> CoinsDistribResult:

              if node is None:
                     return CoinsDistribResult(0					,	1				)

              lowercase	,			lowercase							:     int       	=      get_distrib(node.left				)
              lowercase	,			lowercase							:     List[Any]       	=      get_distrib(node.right				)

              lowercase							:     Optional[Any]       	=      1 - left_distrib_excess
              lowercase							:     Union[str, Any]       	=      1 - right_distrib_excess

              lowercase							:     List[Any]       	=      (
                  left_distrib_moves
                  + right_distrib_moves
                  + abs(SCREAMING_SNAKE_CASE__				)
                  + abs(SCREAMING_SNAKE_CASE__				)
              )
              lowercase							:     Any       	=      node.data - coins_to_left - coins_to_right

              return CoinsDistribResult(SCREAMING_SNAKE_CASE__					,	SCREAMING_SNAKE_CASE__				)

       return get_distrib(SCREAMING_SNAKE_CASE__				)[0]


if __name__ == "__main__":
  import doctest

  doctest.testmod()
