





'''simple docstring'''




from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass







@dataclass
class   A_	:
 _lowerCamelCase  : int
 _lowerCamelCase  : TreeNode | None           =							None
 _lowerCamelCase  : TreeNode | None           =							None





__SCREAMING_SNAKE_CASE     :Any       =				namedtuple('''CoinsDistribResult''', '''moves excess''')
def 	UpperCAmelCase_							(					__lowercase							:      TreeNode | None       )		->       int:


     '''simple docstring'''



     if root is None:
          return 0

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

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

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

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

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

     # Main calculation
     def get_distrib(__lowercase							:      TreeNode | None       ) -> 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(__lowercase       )
              + abs(__lowercase       )
          )
          _UpperCAmelCase     							=   node.data - coins_to_left - coins_to_right

          return CoinsDistribResult(__lowercase			,     __lowercase       )

     return get_distrib(__lowercase       )[0]


if __name__ == "__main__":
  import doctest

  doctest.testmod()











'''simple docstring'''




import re

from filelock import FileLock


try:
  import nltk

  __SCREAMING_SNAKE_CASE     :Optional[int]       =				True
except (ImportError, ModuleNotFoundError):
  __SCREAMING_SNAKE_CASE     :str       =				False

if NLTK_AVAILABLE:
  with FileLock('''.lock''') as lock:
    nltk.download('''punkt''', quiet=True)
def 	UpperCAmelCase_							(					__lowercase							:      str       )		->       str:


     '''simple docstring'''



     re.sub("<n>"			,     ""			,     __lowercase       )  # remove pegasus newline char
     assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
     return "\n".join(nltk.sent_tokenize(__lowercase       )       )




