


'''simple docstring'''




import logging
import os
import threading
import time


try:
 import warnings
except ImportError:
 UpperCAmelCase_      :		Any          =		None

try:
 import msvcrt
except ImportError:
 UpperCAmelCase_      :		Any          =		None

try:
 import fcntl
except ImportError:
 UpperCAmelCase_      :		Union[str, Any]          =		None


# Backward compatibility
# ------------------------------------------------
try:
 TimeoutError
except NameError:
 UpperCAmelCase_      :		List[Any]          =		OSError


# Data
# ------------------------------------------------
UpperCAmelCase_      :		int          =		[
    "Timeout",
    "BaseFileLock",
    "WindowsFileLock",
    "UnixFileLock",
    "SoftFileLock",
    "FileLock",
]

UpperCAmelCase_      :		Optional[Any]          =		"3.0.12"


UpperCAmelCase_      :		str          =		None


def    UpperCAmelCase_  (       ):
   '''simple docstring'''





   global _logger
   _a					:  int						=  _logger or logging.getLogger(__name__      )
   return _logger







class 					a			(				snake_case__  ):
 '''simple docstring'''




 def __init__(    self		,      lowerCamelCase_      )      ->    Any:
    _a					:  List[str]						=  lock_file
    return None




 def __str__(    self      )      ->    Dict:
    _a					:  List[Any]						=  F'''The file lock \'{self.lock_file}\' could not be acquired.'''
    return temp







class 					a			:
 '''simple docstring'''




 def __init__(    self		,      lowerCamelCase_      )      ->    Union[str, Any]:
    _a					:  List[str]						=  lock
    return None




 def __enter__(    self      )      ->    List[Any]:
    return self.lock




 def __exit__(    self		,      lowerCamelCase_		,      lowerCamelCase_		,      lowerCamelCase_      )      ->    Dict:
    self.lock.release()
    return None







class 					a			:
 '''simple docstring'''




 def __init__(    self		,      lowerCamelCase_		,      lowerCamelCase_=-1		,      lowerCamelCase_=None      )      ->    str:
    _a					:  int						=  max_filename_length if max_filename_length is not None else 2_5_5
    # Hash the filename if it's too long
    _a					:  Any						=  self.hash_filename_if_too_long(lowerCamelCase_		,      lowerCamelCase_      )
    # The path to the lock file.
    _a					:  Union[str, Any]						=  lock_file

    # The file descriptor for the *_lock_file* as it is returned by the
    # os.open() function.
    # This file lock is only NOT None, if the object currently holds the
    # lock.
    _a					:  Union[str, Any]						=  None

    # The default timeout value.
    _a					:  Optional[Any]						=  timeout

    # We use this lock primarily for the lock counter.
    _a					:  Optional[int]						=  threading.Lock()

    # The lock counter is used for implementing the nested locking
    # mechanism. Whenever the lock is acquired, the counter is increased and
    # the lock is only released, when this value is 0 again.
    _a					:  Dict						=  0
    return None




 @property
 def   __UpperCamelCase   (    self      )      ->    Dict:
    return self._lock_file




 @property
 def   __UpperCamelCase   (    self      )      ->    Optional[int]:
    return self._timeout




 @timeout.setter
 def   __UpperCamelCase   (    self		,      lowerCamelCase_      )      ->    Union[str, Any]:
    _a					:  Tuple						=  float(lowerCamelCase_      )
    return None




 def   __UpperCamelCase   (    self      )      ->    Union[str, Any]:
    raise NotImplementedError()




 def   __UpperCamelCase   (    self      )      ->    str:
    raise NotImplementedError()




 @property
 def   __UpperCamelCase   (    self      )      ->    Dict:
    return self._lock_file_fd is not None




 def   __UpperCamelCase   (    self		,      lowerCamelCase_=None		,      lowerCamelCase_=0.05      )      ->    Tuple:
    # Use the default timeout, if no timeout is provided.
    if timeout is None:
       _a					:  Optional[int]						=  self.timeout

    # Increment the number right at the beginning.
    # We can still undo it, if something fails.
    with self._thread_lock:
       self._lock_counter += 1

    _a					:  List[Any]						=  id(self      )
    _a					:  Union[str, Any]						=  self._lock_file
    _a					:  Union[str, Any]						=  time.time()
    try:
       while True:
          with self._thread_lock:
             if not self.is_locked:
                logger().debug(F'''Attempting to acquire lock {lock_id} on {lock_filename}'''      )
                self._acquire()

          if self.is_locked:
             logger().debug(F'''Lock {lock_id} acquired on {lock_filename}'''      )
             break
          elif timeout >= 0 and time.time() - start_time > timeout:
             logger().debug(F'''Timeout on acquiring lock {lock_id} on {lock_filename}'''      )
             raise Timeout(self._lock_file      )
          else:
             logger().debug(
                 F'''Lock {lock_id} not acquired on {lock_filename}, waiting {poll_intervall} seconds ...'''      )
             time.sleep(lowerCamelCase_      )
    except:  # noqa
       # Something did go wrong, so decrement the counter.
       with self._thread_lock:
          _a					:  Tuple						=  max(0		,      self._lock_counter - 1      )

       raise
    return _Acquire_ReturnProxy(lock=self      )




 def   __UpperCamelCase   (    self		,      lowerCamelCase_=False      )      ->    Union[str, Any]:
    with self._thread_lock:
       if self.is_locked:
          self._lock_counter -= 1

          if self._lock_counter == 0 or force:
             _a					:  Dict						=  id(self      )
             _a					:  Optional[Any]						=  self._lock_file

             logger().debug(F'''Attempting to release lock {lock_id} on {lock_filename}'''      )
             self._release()
             _a					:  List[str]						=  0
             logger().debug(F'''Lock {lock_id} released on {lock_filename}'''      )

    return None




 def __enter__(    self      )      ->    Tuple:
    self.acquire()
    return self




 def __exit__(    self		,      lowerCamelCase_		,      lowerCamelCase_		,      lowerCamelCase_      )      ->    Any:
    self.release()
    return None




 def __del__(    self      )      ->    str:
    self.release(force=lowerCamelCase_      )
    return None




 def   __UpperCamelCase   (    self		,      lowerCamelCase_		,      lowerCamelCase_      )      ->    str:
    _a					:  Any						=  os.path.basename(lowerCamelCase_      )
    if len(lowerCamelCase_      ) > max_length and max_length > 0:
       _a					:  List[Any]						=  os.path.dirname(lowerCamelCase_      )
       _a					:  List[str]						=  str(hash(lowerCamelCase_      )      )
       _a					:  Tuple						=  filename[: max_length - len(lowerCamelCase_      ) - 8] + '...' + hashed_filename + '.lock'
       return os.path.join(lowerCamelCase_		,      lowerCamelCase_      )
    else:
       return path







class 					a			(				snake_case__  ):
 '''simple docstring'''




 def __init__(    self		,      lowerCamelCase_		,      lowerCamelCase_=-1		,      lowerCamelCase_=None      )      ->    int:
    from .file_utils import relative_to_absolute_path

    super().__init__(lowerCamelCase_		,      timeout=lowerCamelCase_		,      max_filename_length=lowerCamelCase_      )
    _a					:  str						=  '\\\\?\\' + relative_to_absolute_path(self.lock_file      )




 def   __UpperCamelCase   (    self      )      ->    Dict:
    _a					:  Optional[Any]						=  os.O_RDWR | os.O_CREAT | os.O_TRUNC

    try:
       _a					:  Dict						=  os.open(self._lock_file		,      lowerCamelCase_      )
    except OSError:
       pass
    else:
       try:
          msvcrt.locking(lowerCamelCase_		,      msvcrt.LK_NBLCK		,      1      )
       except OSError:
          os.close(lowerCamelCase_      )
       else:
          _a					:  Optional[Any]						=  fd
    return None




 def   __UpperCamelCase   (    self      )      ->    Optional[int]:
    _a					:  Optional[Any]						=  self._lock_file_fd
    _a					:  Optional[Any]						=  None
    msvcrt.locking(lowerCamelCase_		,      msvcrt.LK_UNLCK		,      1      )
    os.close(lowerCamelCase_      )

    try:
       os.remove(self._lock_file      )
    # Probably another instance of the application
    # that acquired the file lock.
    except OSError:
       pass
    return None







class 					a			(				snake_case__  ):
 '''simple docstring'''




 def __init__(    self		,      lowerCamelCase_		,      lowerCamelCase_=-1		,      lowerCamelCase_=None      )      ->    Tuple:
    _a					:  Tuple						=  os.statvfs(os.path.dirname(lowerCamelCase_      )      ).f_namemax
    super().__init__(lowerCamelCase_		,      timeout=lowerCamelCase_		,      max_filename_length=lowerCamelCase_      )




 def   __UpperCamelCase   (    self      )      ->    int:
    _a					:  Optional[Any]						=  os.O_RDWR | os.O_CREAT | os.O_TRUNC
    _a					:  List[str]						=  os.open(self._lock_file		,      lowerCamelCase_      )

    try:
       fcntl.flock(lowerCamelCase_		,      fcntl.LOCK_EX | fcntl.LOCK_NB      )
    except OSError:
       os.close(lowerCamelCase_      )
    else:
       _a					:  Optional[Any]						=  fd
    return None




 def   __UpperCamelCase   (    self      )      ->    Optional[Any]:
    # Do not remove the lockfile:
    #
    #   https://github.com/benediktschmitt/py-filelock/issues/31
    #   https://stackoverflow.com/questions/17708885/flock-removing-locked-file-without-race-condition
    _a					:  List[str]						=  self._lock_file_fd
    _a					:  Optional[int]						=  None
    fcntl.flock(lowerCamelCase_		,      fcntl.LOCK_UN      )
    os.close(lowerCamelCase_      )
    return None







class 					a			(				snake_case__  ):
 '''simple docstring'''




 def   __UpperCamelCase   (    self      )      ->    Union[str, Any]:
    _a					:  Any						=  os.O_WRONLY | os.O_CREAT | os.O_EXCL | os.O_TRUNC
    try:
       _a					:  str						=  os.open(self._lock_file		,      lowerCamelCase_      )
    except OSError:
       pass
    else:
       _a					:  Dict						=  fd
    return None




 def   __UpperCamelCase   (    self      )      ->    List[Any]:
    os.close(self._lock_file_fd      )
    _a					:  Tuple						=  None

    try:
       os.remove(self._lock_file      )
    # The file is already deleted and that's what we want.
    except OSError:
       pass
    return None





UpperCAmelCase_      :		int          =		None

if msvcrt:
 UpperCAmelCase_      :		Any          =		WindowsFileLock
elif fcntl:
 UpperCAmelCase_      :		List[Any]          =		UnixFileLock
else:
 UpperCAmelCase_      :		str          =		SoftFileLock

 if warnings is not None:
  warnings.warn("only soft file lock is available")






'''simple docstring'''




from __future__ import annotations

from collections import namedtuple
from dataclasses import dataclass







@dataclass
class 					a			:
 '''simple docstring'''




 __lowerCAmelCase						: int
 __lowerCAmelCase						: TreeNode | None							  =		None
 __lowerCAmelCase						: TreeNode | None							  =		None





UpperCAmelCase_      :		Dict          =		namedtuple("CoinsDistribResult", "moves excess")


def    UpperCAmelCase_  (       A      ):
   '''simple docstring'''





   if root is None:
      return 0

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

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

   def count_coins(A      ) -> int:
      if node is None:
         return 0

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

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

   # Main calculation
   def get_distrib(A      ) -> CoinsDistribResult:

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

      _a		,						_a					:  Optional[Any]						=  get_distrib(node.left      )
      _a		,						_a					:  Tuple						=  get_distrib(node.right      )

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

      _a					:  Any						=  (
          left_distrib_moves
          + right_distrib_moves
          + abs(A      )
          + abs(A      )
      )
      _a					:  Optional[int]						=  node.data - coins_to_left - coins_to_right

      return CoinsDistribResult(A		,	A      )

   return get_distrib(A      )[0]


if __name__ == "__main__":
 import doctest

 doctest.testmod()


