





from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass



@dataclass
class        _lowerCAmelCase    :


  '''simple docstring'''
  a_							:       int
  a_							:       TreeNode | None      					=None
  a_							:       TreeNode | None      					=None




lowerCAmelCase_						   =    namedtuple("""CoinsDistribResult""", """moves excess""")




def     lowerCamelCase_	(      lowerCAmelCase:	TreeNode | None				)->		int:

  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				)

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

    _snake_case   :				Optional[int]														=	1 - left_distrib_excess
    _snake_case   :				List[str]														=	1 - right_distrib_excess

    _snake_case   :				List[str]														=	(
        left_distrib_moves
        + right_distrib_moves
        + abs(lowerCAmelCase				)
        + abs(lowerCAmelCase				)
    )
    _snake_case   :				str														=	node.data - coins_to_left - coins_to_right

    return CoinsDistribResult(lowerCAmelCase    ,							lowerCAmelCase				)

  return get_distrib(lowerCAmelCase				)[0]


if __name__ == "__main__":
      import doctest

      doctest.testmod()











def     lowerCamelCase_	(      lowerCAmelCase:	bytes				)->		str:
  return "".join([hex(lowerCAmelCase				)[2:].zfill(2				).upper() for byte in list(lowerCAmelCase				)]				)


def     lowerCamelCase_	(      lowerCAmelCase:	str				)->		bytes:
  # Check data validity, following RFC3548
  # https://www.ietf.org/rfc/rfc3548.txt
  if (len(lowerCAmelCase				) % 2) != 0:
    raise ValueError(
        'Base16 encoded data is invalid:\nData does not have an even number of hex digits.'				)
  # Check the character set - the standard base16 alphabet
  # is uppercase according to RFC3548 section 6
  if not set(lowerCAmelCase				) <= set('0123456789ABCDEF'				):
    raise ValueError(
        'Base16 encoded data is invalid:\nData is not uppercase hex or it contains invalid characters.'				)
  # For every two hexadecimal digits (= a byte), turn it into an integer.
  # Then, string the result together into bytes, and return it.
  return bytes(int(data[i] + data[i + 1]    ,							16				) for i in range(0    ,							len(lowerCAmelCase				)    ,							2				)				)


if __name__ == "__main__":
      import doctest

      doctest.testmod()




