



"""simple docstring"""






from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass



@dataclass
class      A__  :




	'''simple docstring'''





	SCREAMING_SNAKE_CASE        =      42
	SCREAMING_SNAKE_CASE        =      None
	SCREAMING_SNAKE_CASE        =      None






__snake_case				:  Dict =       namedtuple('CoinsDistribResult', 'moves excess')


def      _lowercase							(    __snake_case      )		->  int:

			if root is None:
						return 0

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

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

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

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

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

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

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

						__lowerCAmelCase		,      __lowerCAmelCase :    Any				=			get_distrib(node.left      )
						__lowerCAmelCase		,      __lowerCAmelCase :    List[str]				=			get_distrib(node.right      )

						__lowerCAmelCase :    Optional[int]				=			1 - left_distrib_excess
						__lowerCAmelCase :    Tuple				=			1 - right_distrib_excess

						__lowerCAmelCase :    int				=			(
						    left_distrib_moves
						    + right_distrib_moves
						    + abs(__snake_case      )
						    + abs(__snake_case      )
						)
						__lowerCAmelCase :    Optional[int]				=			node.data - coins_to_left - coins_to_right

						return CoinsDistribResult(__snake_case   ,__snake_case      )

			return get_distrib(__snake_case      )[0]


if __name__ == "__main__":
	import doctest

	doctest.testmod()




"""simple docstring"""






from ..utils import DummyObject, requires_backends



class      A__  (    metaclass=__SCREAMING_SNAKE_CASE				):




	'''simple docstring'''





	SCREAMING_SNAKE_CASE        =      ['torch', 'transformers', 'onnx']

	def __init__(	self:						Union[str, Any]			,     *_SCREAMING_SNAKE_CASE:						Any			,     **_SCREAMING_SNAKE_CASE:						int)							->			List[Any]:

				"""simple docstring"""

				requires_backends(self			,     ["torch", "transformers", "onnx"])

	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						Union[str, Any]			,     *_SCREAMING_SNAKE_CASE:						List[Any]			,     **_SCREAMING_SNAKE_CASE:						Union[str, Any])							->			Union[str, Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])







	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						int			,     *_SCREAMING_SNAKE_CASE:						Any			,     **_SCREAMING_SNAKE_CASE:						str)							->			Union[str, Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])






class      A__  (    metaclass=__SCREAMING_SNAKE_CASE				):




	'''simple docstring'''





	SCREAMING_SNAKE_CASE        =      ['torch', 'transformers', 'onnx']

	def __init__(	self:						Tuple			,     *_SCREAMING_SNAKE_CASE:						Optional[Any]			,     **_SCREAMING_SNAKE_CASE:						List[str])							->			Optional[int]:

				"""simple docstring"""

				requires_backends(self			,     ["torch", "transformers", "onnx"])

	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						Dict			,     *_SCREAMING_SNAKE_CASE:						Optional[Any]			,     **_SCREAMING_SNAKE_CASE:						int)							->			List[Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])







	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						Optional[Any]			,     *_SCREAMING_SNAKE_CASE:						Dict			,     **_SCREAMING_SNAKE_CASE:						Optional[Any])							->			Union[str, Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])






class      A__  (    metaclass=__SCREAMING_SNAKE_CASE				):




	'''simple docstring'''





	SCREAMING_SNAKE_CASE        =      ['torch', 'transformers', 'onnx']

	def __init__(	self:						int			,     *_SCREAMING_SNAKE_CASE:						List[Any]			,     **_SCREAMING_SNAKE_CASE:						int)							->			List[str]:

				"""simple docstring"""

				requires_backends(self			,     ["torch", "transformers", "onnx"])

	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						Dict			,     *_SCREAMING_SNAKE_CASE:						Any			,     **_SCREAMING_SNAKE_CASE:						Any)							->			str:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])







	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						List[Any]			,     *_SCREAMING_SNAKE_CASE:						List[str]			,     **_SCREAMING_SNAKE_CASE:						int)							->			int:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])






class      A__  (    metaclass=__SCREAMING_SNAKE_CASE				):




	'''simple docstring'''





	SCREAMING_SNAKE_CASE        =      ['torch', 'transformers', 'onnx']

	def __init__(	self:						Tuple			,     *_SCREAMING_SNAKE_CASE:						List[str]			,     **_SCREAMING_SNAKE_CASE:						List[str])							->			Optional[Any]:

				"""simple docstring"""

				requires_backends(self			,     ["torch", "transformers", "onnx"])

	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						List[str]			,     *_SCREAMING_SNAKE_CASE:						Tuple			,     **_SCREAMING_SNAKE_CASE:						int)							->			int:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])







	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						Optional[int]			,     *_SCREAMING_SNAKE_CASE:						str			,     **_SCREAMING_SNAKE_CASE:						Any)							->			int:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])






class      A__  (    metaclass=__SCREAMING_SNAKE_CASE				):




	'''simple docstring'''





	SCREAMING_SNAKE_CASE        =      ['torch', 'transformers', 'onnx']

	def __init__(	self:						Optional[Any]			,     *_SCREAMING_SNAKE_CASE:						Union[str, Any]			,     **_SCREAMING_SNAKE_CASE:						Optional[int])							->			str:

				"""simple docstring"""

				requires_backends(self			,     ["torch", "transformers", "onnx"])

	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						Optional[int]			,     *_SCREAMING_SNAKE_CASE:						List[Any]			,     **_SCREAMING_SNAKE_CASE:						Tuple)							->			Union[str, Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])







	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						int			,     *_SCREAMING_SNAKE_CASE:						str			,     **_SCREAMING_SNAKE_CASE:						Any)							->			Optional[Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])






class      A__  (    metaclass=__SCREAMING_SNAKE_CASE				):




	'''simple docstring'''





	SCREAMING_SNAKE_CASE        =      ['torch', 'transformers', 'onnx']

	def __init__(	self:						List[Any]			,     *_SCREAMING_SNAKE_CASE:						List[str]			,     **_SCREAMING_SNAKE_CASE:						List[str])							->			int:

				"""simple docstring"""

				requires_backends(self			,     ["torch", "transformers", "onnx"])

	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						Union[str, Any]			,     *_SCREAMING_SNAKE_CASE:						Optional[int]			,     **_SCREAMING_SNAKE_CASE:						Optional[Any])							->			List[Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])







	@classmethod
	def 				_SCREAMING_SNAKE_CASE  (	cls:						str			,     *_SCREAMING_SNAKE_CASE:						Optional[int]			,     **_SCREAMING_SNAKE_CASE:						Dict)							->			Optional[Any]:

				"""simple docstring"""

				requires_backends(cls			,     ["torch", "transformers", "onnx"])