






from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass


@dataclass
class  SCREAMING_SNAKE_CASE			:
     '''simple docstring'''


     UpperCamelCase_							:		int
     UpperCamelCase_							:		TreeNode | None			=	None
     UpperCamelCase_							:		TreeNode | None			=	None





snake_case    				=		namedtuple("""CoinsDistribResult""", """moves excess""")


def   lowerCamelCase__			(     lowercase				):

  """simple docstring"""






  if root is None:
    return 0

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

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

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

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

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

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

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

    SCREAMING_SNAKE_CASE						,  SCREAMING_SNAKE_CASE       :      Union[str, Any]							=    get_distrib(node.left				)
    SCREAMING_SNAKE_CASE						,  SCREAMING_SNAKE_CASE       :      Union[str, Any]							=    get_distrib(node.right				)

    SCREAMING_SNAKE_CASE       :      Tuple							=    1 - left_distrib_excess
    SCREAMING_SNAKE_CASE       :      List[Any]							=    1 - right_distrib_excess

    SCREAMING_SNAKE_CASE       :      Optional[Any]							=    (
        left_distrib_moves
        + right_distrib_moves
        + abs(lowercase				)
        + abs(lowercase				)
    )
    SCREAMING_SNAKE_CASE       :      Tuple							=    node.data - coins_to_left - coins_to_right

    return CoinsDistribResult(lowercase						,     lowercase				)

  return get_distrib(lowercase				)[0]


if __name__ == "__main__":
   import doctest

   doctest.testmod()














from ..utils import DummyObject, requires_backends


class  SCREAMING_SNAKE_CASE			(			metaclass=lowerCAmelCase					):
     '''simple docstring'''


     UpperCamelCase_							:		Union[str, Any]			=	['''keras_nlp''']


     def __init__(				self       :	Dict					, *UpperCAmelCase_       :	Optional[Any]					, **UpperCAmelCase_       :	Dict      ):
       requires_backends(self					, ["keras_nlp"]      )






