





from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass




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



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






def 					SCREAMING_SNAKE_CASE__				(							UpperCamelCase__:				TreeNode | None     ):

		if root is None:
				return 0

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

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

		def count_coins(UpperCamelCase__:				TreeNode | None     ) -> int:
				if node is None:
						return 0

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

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

		# Main calculation
		def get_distrib(UpperCamelCase__:				TreeNode | None     ) -> CoinsDistribResult:

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

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

				SCREAMING_SNAKE_CASE__								=   1 - left_distrib_excess
				SCREAMING_SNAKE_CASE__								=   1 - right_distrib_excess

				SCREAMING_SNAKE_CASE__								=   (
				    left_distrib_moves
				    + right_distrib_moves
				    + abs(UpperCamelCase__     )
				    + abs(UpperCamelCase__     )
				)
				SCREAMING_SNAKE_CASE__								=   node.data - coins_to_left - coins_to_right

				return CoinsDistribResult(UpperCamelCase__       , UpperCamelCase__     )

		return get_distrib(UpperCamelCase__     )[0]


if __name__ == "__main__":
	import doctest

	doctest.testmod()






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_flax_available, is_torch_available


_lowerCamelCase 					=      {'configuration_speech_encoder_decoder': ['SpeechEncoderDecoderConfig']}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	_lowerCamelCase 					=      ['SpeechEncoderDecoderModel']

try:
	if not is_flax_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	_lowerCamelCase 					=      ['FlaxSpeechEncoderDecoderModel']

if TYPE_CHECKING:
	from .configuration_speech_encoder_decoder import SpeechEncoderDecoderConfig

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_speech_encoder_decoder import SpeechEncoderDecoderModel

	try:
		if not is_flax_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_flax_speech_encoder_decoder import FlaxSpeechEncoderDecoderModel

else:
	import sys

	_lowerCamelCase 					=      _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)