






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

from collections import namedtuple
from dataclasses import dataclass







@dataclass
class 			UpperCamelCase_       :
	__magic_name__	      =				42
	__magic_name__	      =				None
	__magic_name__	      =				None





lowerCamelCase_					=      namedtuple('''CoinsDistribResult''', '''moves excess''')

def 				snake_case      (   A__						):

			if root is None:
						return 0

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

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

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

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

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

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

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

						UpperCAmelCase_     ,	UpperCAmelCase_     : Optional[Any]			     =					get_distrib(node.left						)
						UpperCAmelCase_     ,	UpperCAmelCase_     : int			     =					get_distrib(node.right						)

						UpperCAmelCase_     : Any			     =					1 - left_distrib_excess
						UpperCAmelCase_     : Any			     =					1 - right_distrib_excess

						UpperCAmelCase_     : Any			     =					(
						    left_distrib_moves
						    + right_distrib_moves
						    + abs(A__						)
						    + abs(A__						)
						)
						UpperCAmelCase_     : Optional[Any]			     =					node.data - coins_to_left - coins_to_right

						return CoinsDistribResult(A__	,A__						)

			return get_distrib(A__						)[0]


if __name__ == "__main__":
			import doctest

			doctest.testmod()




"""simple docstring"""






from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass
@dataclass
class 				snake_case       :




					"""simple docstring"""

					snake_case__				    = 42
					snake_case__				    = None
					snake_case__				    = None






lowerCAmelCase__  :  Union[str, Any]						     =	namedtuple('CoinsDistribResult', 'moves excess')



def   a_						(					lowerCamelCase       ):

				if root is None:
								return 0

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

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

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

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

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

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

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

								UpperCAmelCase__      ,	UpperCAmelCase__             =							get_distrib(node.left       )
								UpperCAmelCase__      ,	UpperCAmelCase__             =							get_distrib(node.right       )

								UpperCAmelCase__             =							1 - left_distrib_excess
								UpperCAmelCase__             =							1 - right_distrib_excess

								UpperCAmelCase__             =							(
								    left_distrib_moves
								    + right_distrib_moves
								    + abs(lowerCamelCase       )
								    + abs(lowerCamelCase       )
								)
								UpperCAmelCase__             =							node.data - coins_to_left - coins_to_right

								return CoinsDistribResult(lowerCamelCase					,			lowerCamelCase       )

				return get_distrib(lowerCamelCase       )[0]


if __name__ == "__main__":
						import doctest

						doctest.testmod()



