



'''simple docstring'''





import logging
import os
import sys
import threading
from logging import (
    CRITICAL,  # NOQA
    DEBUG,  # NOQA
    ERROR,  # NOQA
    FATAL,  # NOQA
    INFO,  # NOQA
    NOTSET,  # NOQA
    WARN,  # NOQA
    WARNING,  # NOQA
)
from typing import Optional

from tqdm import auto as tqdm_lib


_UpperCamelCase							       =		threading.Lock()
_UpperCamelCase							       =		None

_UpperCamelCase							       =		{
    'debug': logging.DEBUG,
    'info': logging.INFO,
    'warning': logging.WARNING,
    'error': logging.ERROR,
    'critical': logging.CRITICAL,
}

_UpperCamelCase							       =		logging.WARNING

_UpperCamelCase							       =		True

def  a_  (							)   ->   Union[str, Any]:

  '''simple docstring'''





  __lowerCamelCase : Union[str, Any]					 =				os.getenv('DIFFUSERS_VERBOSITY' ,_lowerCAmelCase )
  if env_level_str:
    if env_level_str in log_levels:
      return log_levels[env_level_str]
    else:
      logging.getLogger().warning(
          F'Unknown option DIFFUSERS_VERBOSITY={env_level_str}, '
          F'has to be one of: { ", ".join(log_levels.keys() ) }' )
  return _default_log_level

def  a_  (							)   ->   str:

  '''simple docstring'''





  return __name__.split('.' )[0]

def  a_  (							)   ->   logging.Logger:

  '''simple docstring'''





  return logging.getLogger(_get_library_name() )

def  a_  (							)   ->   None:

  '''simple docstring'''





  global _default_handler

  with _lock:
    if _default_handler:
      # This library has already configured the library root logger.
      return
    __lowerCamelCase : Tuple					 =				logging.StreamHandler()  # Set sys.stderr as stream.
    __lowerCamelCase : List[Any]					 =				sys.stderr.flush

    # Apply our default configuration to the library root logger.
    __lowerCamelCase : int					 =				_get_library_root_logger()
    library_root_logger.addHandler(_default_handler )
    library_root_logger.setLevel(_get_default_logging_level() )
    __lowerCamelCase : Tuple					 =				False

def  a_  (							)   ->   None:

  '''simple docstring'''





  global _default_handler

  with _lock:
    if not _default_handler:
      return

    __lowerCamelCase : Any					 =				_get_library_root_logger()
    library_root_logger.removeHandler(_default_handler )
    library_root_logger.setLevel(logging.NOTSET )
    __lowerCamelCase : Any					 =				None

def  a_  (							)   ->   Optional[Any]:

  '''simple docstring'''





  return log_levels

def  a_  (							_lowerCAmelCase = None )   ->   logging.Logger:

  '''simple docstring'''





  if name is None:
    __lowerCamelCase : int					 =				_get_library_name()

  _configure_library_root_logger()
  return logging.getLogger(_lowerCAmelCase )

def  a_  (							)   ->   int:

  '''simple docstring'''





  _configure_library_root_logger()
  return _get_library_root_logger().getEffectiveLevel()

def  a_  (							_lowerCAmelCase )   ->   None:

  '''simple docstring'''





  _configure_library_root_logger()
  _get_library_root_logger().setLevel(_lowerCAmelCase )

def  a_  (							)   ->   Optional[Any]:

  '''simple docstring'''





  return set_verbosity(_lowerCAmelCase )

def  a_  (							)   ->   str:

  '''simple docstring'''





  return set_verbosity(_lowerCAmelCase )

def  a_  (							)   ->   Optional[Any]:

  '''simple docstring'''





  return set_verbosity(_lowerCAmelCase )

def  a_  (							)   ->   List[Any]:

  '''simple docstring'''





  return set_verbosity(_lowerCAmelCase )

def  a_  (							)   ->   None:

  '''simple docstring'''





  _configure_library_root_logger()

  assert _default_handler is not None
  _get_library_root_logger().removeHandler(_default_handler )

def  a_  (							)   ->   None:

  '''simple docstring'''





  _configure_library_root_logger()

  assert _default_handler is not None
  _get_library_root_logger().addHandler(_default_handler )

def  a_  (							_lowerCAmelCase )   ->   None:

  '''simple docstring'''





  _configure_library_root_logger()

  assert handler is not None
  _get_library_root_logger().addHandler(_lowerCAmelCase )

def  a_  (							_lowerCAmelCase )   ->   None:

  '''simple docstring'''





  _configure_library_root_logger()

  assert handler is not None and handler not in _get_library_root_logger().handlers
  _get_library_root_logger().removeHandler(_lowerCAmelCase )

def  a_  (							)   ->   None:

  '''simple docstring'''





  _configure_library_root_logger()
  __lowerCamelCase : int					 =				False

def  a_  (							)   ->   None:

  '''simple docstring'''





  _configure_library_root_logger()
  __lowerCamelCase : Any					 =				True

def  a_  (							)   ->   None:

  '''simple docstring'''





  __lowerCamelCase : Dict					 =				_get_library_root_logger().handlers

  for handler in handlers:
    __lowerCamelCase : Tuple					 =				logging.Formatter('[%(levelname)s|%(filename)s:%(lineno)s] %(asctime)s >> %(message)s' )
    handler.setFormatter(_lowerCAmelCase )

def  a_  (							)   ->   None:

  '''simple docstring'''





  __lowerCamelCase : Dict					 =				_get_library_root_logger().handlers

  for handler in handlers:
    handler.setFormatter(_lowerCAmelCase )

def  a_  (							self ,*_lowerCAmelCase ,**_lowerCAmelCase )   ->   Dict:

  '''simple docstring'''





  __lowerCamelCase : int					 =				os.getenv('DIFFUSERS_NO_ADVISORY_WARNINGS' ,_lowerCAmelCase )
  if no_advisory_warnings:
    return
  self.warning(*_lowerCAmelCase ,**_lowerCAmelCase )


_UpperCamelCase							       =		warning_advice






class       lowerCamelCase_					:
  """simple docstring"""




  def __init__(				self   :			str    ,			*_a   :			Any    ,			**_a   :			Dict     )      ->      str:  # pylint: disable=unused-argument
    __lowerCamelCase : int					 =				args[0] if args else None




  def __iter__(				self   :			int     )      ->      int:
    return iter(self._iterator     )




  def __getattr__(				self   :			Tuple    ,			_a   :			str     )      ->      Union[str, Any]:

    def empty_fn(*_a   :			Optional[Any]    ,			**_a   :			Optional[Any]     ):  # pylint: disable=unused-argument
      return

    return empty_fn




  def __enter__(				self   :			Optional[int]     )      ->      Union[str, Any]:
    return self




  def __exit__(				self   :			List[str]    ,			_a   :			str    ,			_a   :			int    ,			_a   :			int     )      ->      int:
    return






class       lowerCamelCase_					:
  """simple docstring"""




  def __call__(				self   :			Any    ,			*_a   :			Optional[Any]    ,			**_a   :			Optional[int]     )      ->      Dict:
    if _tqdm_active:
      return tqdm_lib.tqdm(*_a    ,			**_a     )
    else:
      return EmptyTqdm(*_a    ,			**_a     )




  def 		_lowercase  (				self   :			Union[str, Any]    ,			*_a   :			int    ,			**_a   :			Tuple     )      ->      Dict:
    __lowerCamelCase : Any					 =				None
    if _tqdm_active:
      return tqdm_lib.tqdm.set_lock(*_a    ,			**_a     )




  def 		_lowercase  (				self   :			Dict     )      ->      int:
    if _tqdm_active:
      return tqdm_lib.tqdm.get_lock()




_UpperCamelCase							       =		_tqdm_cls()

def  a_  (							)   ->   bool:

  '''simple docstring'''





  global _tqdm_active
  return bool(_tqdm_active )

def  a_  (							)   ->   Union[str, Any]:

  '''simple docstring'''





  global _tqdm_active
  __lowerCamelCase : List[str]					 =				True


def  a_  (							)   ->   Tuple:

  '''simple docstring'''





  global _tqdm_active
  __lowerCamelCase : int					 =				False











'''simple docstring'''





from __future__ import annotations

from abc import abstractmethod
from collections.abc import Iterable
from typing import Generic, Protocol, TypeVar






class       lowerCamelCase_					(       SCREAMING_SNAKE_CASE_  ):
  """simple docstring"""




  @abstractmethod
  def __lt__(				self   :			T    ,			_a   :			T     )      ->      bool:
    pass




  @abstractmethod
  def __gt__(				self   :			T    ,			_a   :			T     )      ->      bool:
    pass




  @abstractmethod
  def __eq__(				self   :			T    ,			_a   :			object     )      ->      bool:
    pass




_UpperCamelCase							       =		TypeVar('T', bound=Comparable)






class       lowerCamelCase_					(       Generic[T]  ):
  """simple docstring"""




  def __init__(				self   :			List[str]     )      ->      None:
    __lowerCamelCase : list[T]					 =				[]
    __lowerCamelCase : int					 =				0




  def __repr__(				self   :			int     )      ->      str:
    return str(self.h     )




  def 		_lowercase  (				self   :			str    ,			_a   :			int     )      ->      int | None:
    if child_idx > 0:
      return (child_idx - 1) // 2
    return None




  def 		_lowercase  (				self   :			Tuple    ,			_a   :			int     )      ->      int | None:
    __lowerCamelCase : Optional[Any]					 =				2 * parent_idx + 1
    if left_child_index < self.heap_size:
      return left_child_index
    return None




  def 		_lowercase  (				self   :			Tuple    ,			_a   :			int     )      ->      int | None:
    __lowerCamelCase : Any					 =				2 * parent_idx + 2
    if right_child_index < self.heap_size:
      return right_child_index
    return None




  def 		_lowercase  (				self   :			int    ,			_a   :			int     )      ->      None:
    if index < self.heap_size:
      __lowerCamelCase : int					 =				index
      __lowerCamelCase : Dict					 =				self.left_child_idx(_a     )
      __lowerCamelCase : str					 =				self.right_child_idx(_a     )
      # check which child is larger than its parent
      if left_child is not None and self.h[left_child] > self.h[violation]:
        __lowerCamelCase : Optional[int]					 =				left_child
      if right_child is not None and self.h[right_child] > self.h[violation]:
        __lowerCamelCase : Union[str, Any]					 =				right_child
      # if violation indeed exists
      if violation != index:
        # swap to fix the violation
        __lowerCamelCase ,__lowerCamelCase : int					 =				self.h[index], self.h[violation]
        # fix the subsequent violation recursively if any
        self.max_heapify(_a     )




  def 		_lowercase  (				self   :			int    ,			_a   :			Iterable[T]     )      ->      None:
    __lowerCamelCase : Dict					 =				list(_a     )
    __lowerCamelCase : Any					 =				len(self.h     )
    if self.heap_size > 1:
      # max_heapify from right to left but exclude leaves (last level)
      for i in range(self.heap_size // 2 - 1    ,			-1    ,			-1     ):
        self.max_heapify(_a     )




  def 		_lowercase  (				self   :			int     )      ->      T:
    if self.heap_size >= 2:
      __lowerCamelCase : Any					 =				self.h[0]
      __lowerCamelCase : Dict					 =				self.h.pop(-1     )
      self.heap_size -= 1
      self.max_heapify(0     )
      return me
    elif self.heap_size == 1:
      self.heap_size -= 1
      return self.h.pop(-1     )
    else:
      raise Exception('Empty heap'     )




  def 		_lowercase  (				self   :			Optional[Any]    ,			_a   :			T     )      ->      None:
    self.h.append(_a     )
    __lowerCamelCase : List[Any]					 =				(self.heap_size - 1) // 2
    self.heap_size += 1
    while idx >= 0:
      self.max_heapify(_a     )
      __lowerCamelCase : Union[str, Any]					 =				(idx - 1) // 2




  def 		_lowercase  (				self   :			Tuple     )      ->      None:
    __lowerCamelCase : Optional[Any]					 =				self.heap_size
    for j in range(size - 1    ,			0    ,			-1     ):
      __lowerCamelCase ,__lowerCamelCase : List[str]					 =				self.h[j], self.h[0]
      self.heap_size -= 1
      self.max_heapify(0     )
    __lowerCamelCase : Tuple					 =				size


if __name__ == "__main__":
   import doctest

   # run doc test
   doctest.testmod()

   # demo
   for unsorted in [
       [0],
       [2],
       [3, 5],
       [5, 3],
       [5, 5],
       [0, 0, 0, 0],
       [1, 1, 1, 1],
       [2, 2, 3, 5],
       [0, 2, 2, 3, 5],
       [2, 5, 3, 0, 2, 3, 0, 3],
       [6, 1, 2, 7, 9, 3, 4, 5, 10, 8],
       [103, 9, 1, 7, 11, 15, 25, 201, 209, 107, 5],
       [-45, -2, -5],
   ]:
      print(f'''unsorted array: {unsorted}''')

      _UpperCamelCase							       =		Heap()
      heap.build_max_heap(unsorted)
      print(f'''after build heap: {heap}''')

      print(f'''max value: {heap.extract_max()}''')
      print(f'''after max value removed: {heap}''')

      heap.insert(100)
      print(f'''after new value 100 inserted: {heap}''')

      heap.heap_sort()
      print(f'''heap-sorted array: {heap}\n''')






