




from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass





@dataclass
class 					__lowerCamelCase			:




    """simple docstring"""

    snake_case__   = 42
    snake_case__   = None
    snake_case__   = None






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



def 				_A  (		lowerCAmelCase_	:   TreeNode | None     ):
     """simple docstring"""

     if root is None:
          return 0

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

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

     def count_coins(lowerCAmelCase_	:   TreeNode | None     ) -> 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_	:   TreeNode | None     ) -> CoinsDistribResult:

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

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

          lowerCAmelCase__            =					1 - left_distrib_excess
          lowerCAmelCase__            =					1 - right_distrib_excess

          lowerCAmelCase__            =					(
              left_distrib_moves
              + right_distrib_moves
              + abs(lowerCAmelCase_     )
              + abs(lowerCAmelCase_     )
          )
          lowerCAmelCase__            =					node.data - coins_to_left - coins_to_right

          return CoinsDistribResult(lowerCAmelCase_  ,							lowerCAmelCase_     )

     return get_distrib(lowerCAmelCase_     )[0]


if __name__ == "__main__":
     import doctest

     doctest.testmod()




A				:       Any      =  '\n# Transformers installation\n! pip install transformers datasets\n# To install from source instead of the last release, comment the command above and uncomment the following one.\n# ! pip install git+https://github.com/huggingface/transformers.git\n'

A				:       Optional[int]      =  [{'type': 'code', 'content': INSTALL_CONTENT}]
A				:       Optional[int]      =  {
    '{processor_class}': 'FakeProcessorClass',
    '{model_class}': 'FakeModelClass',
    '{object_class}': 'FakeObjectClass',
}





