






"""simple docstring"""
import argparse

from ...utils.dataclasses import (
    ComputeEnvironment,
    DistributedType,
    DynamoBackend,
    PrecisionType,
    SageMakerDistributedType,
)
from ..menu import BulletMenu


lowerCamelCase_					=      [
    'EAGER',
    'AOT_EAGER',
    'INDUCTOR',
    'NVFUSER',
    'AOT_NVFUSER',
    'AOT_CUDAGRAPHS',
    'OFI',
    'FX2TRT',
    'ONNXRT',
    'IPEX',
]

def 				snake_case      (   A__	,A__=None	,A__=None	,A__=None						):
			UpperCAmelCase_     : Tuple			     =					True
			while ask_again:
						UpperCAmelCase_     : int			     =					input(A__						)
						try:
									if default is not None and len(A__						) == 0:
												return default
									return convert_value(A__						) if convert_value is not None else result
						except Exception:
									if error_message is not None:
												print(A__						)

def 				snake_case      (   A__	,A__=[]	,A__=None	,A__=0						):
			UpperCAmelCase_     : Union[str, Any]			     =					BulletMenu(A__	,A__						)
			UpperCAmelCase_     : Dict			     =					menu.run(default_choice=A__						)
			return convert_value(A__						) if convert_value is not None else result

def 				snake_case      (   A__						):
			UpperCAmelCase_     : str			     =					int(A__						)
			return ComputeEnvironment(["LOCAL_MACHINE", "AMAZON_SAGEMAKER"][value]						)

def 				snake_case      (   A__						):
			UpperCAmelCase_     : Any			     =					int(A__						)
			return DistributedType(["NO", "MULTI_CPU", "MULTI_XPU", "MULTI_GPU", "MULTI_NPU", "TPU"][value]						)

def 				snake_case      (   A__						):
			UpperCAmelCase_     : Tuple			     =					int(A__						)
			return DynamoBackend(DYNAMO_BACKENDS[value]						).value

def 				snake_case      (   A__						):
			UpperCAmelCase_     : Dict			     =					int(A__						)
			return PrecisionType(["no", "fp16", "bf16", "fp8"][value]						)

def 				snake_case      (   A__						):
			UpperCAmelCase_     : int			     =					int(A__						)
			return SageMakerDistributedType(["NO", "DATA_PARALLEL", "MODEL_PARALLEL"][value]						)

def 				snake_case      (   A__						):
			return {"yes": True, "no": False}[value.lower()]







class 			UpperCamelCase_       (argparse.RawDescriptionHelpFormatter     ):





	def      _SCREAMING_SNAKE_CASE      (      self					: Tuple	,	lowerCAmelCase_					: List[Any]	,	lowerCAmelCase_					: Dict	,	lowerCAmelCase_					: List[str]	,	lowerCAmelCase_					: Optional[int]						)						->			List[Any]:
				UpperCAmelCase_     : List[Any]			     =					super()._format_usage(lowerCamelCase__	,	lowerCamelCase__	,	lowerCamelCase__	,	lowerCamelCase__						)
				UpperCAmelCase_     : List[str]			     =					usage.replace("<command> [<args>] "	,	""						)
				return usage




"""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()



