





from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass



@dataclass
class    A__  :
      _UpperCAmelCase      :int
      _UpperCAmelCase      :TreeNode | None		       =  None
      _UpperCAmelCase      :TreeNode | None		       =  None


__lowerCamelCase			:	List[str]					    =	namedtuple("""CoinsDistribResult""", """moves excess""")



def 						A_							(	_lowerCAmelCase	)		->					int:

 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      :   int			      =  get_distrib(node.left	)
  UpperCamelCase      ,       UpperCamelCase      :   Tuple			      =  get_distrib(node.right	)

  UpperCamelCase      :   List[str]			      =  1 - left_distrib_excess
  UpperCamelCase      :   str			      =  1 - right_distrib_excess

  UpperCamelCase      :   int			      =  (
      left_distrib_moves
      + right_distrib_moves
      + abs(_lowerCAmelCase	)
      + abs(_lowerCAmelCase	)
  )
  UpperCamelCase      :   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()







__lowerCamelCase			:	str					    =	6_5521



def 						A_							(	_lowerCAmelCase	)		->					int:
 UpperCamelCase      :   Any			      =  1
 UpperCamelCase      :   str			      =  0
 for plain_chr in plain_text:
  UpperCamelCase      :   List[Any]			      =  (a + ord(_lowerCAmelCase	)) % MOD_ADLER
  UpperCamelCase      :   List[Any]			      =  (b + a) % MOD_ADLER
 return (b << 16) | a
