


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					:	Union[str, Any]          =				threading.Lock()
__UpperCamelCase					:	Optional[logging.Handler]          =				None

__UpperCamelCase					:	List[Any]          =				{
    'debug': logging.DEBUG,
    'info': logging.INFO,
    'warning': logging.WARNING,
    'error': logging.ERROR,
    'critical': logging.CRITICAL,
}

__UpperCamelCase					:	Union[str, Any]          =				logging.WARNING

__UpperCamelCase					:	Dict          =				True
def   snake_case_    (			):
   UpperCAmelCase_				:   List[Any]							= os.getenv('''DIFFUSERS_VERBOSITY'''      ,							__lowercase							)
   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   snake_case_    (			):
   return __name__.split('''.'''							)[0]
def   snake_case_    (			):
   return logging.getLogger(_get_library_name()							)
def   snake_case_    (			):
   global _default_handler

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

      # Apply our default configuration to the library root logger.
      UpperCAmelCase_				:   List[str]							= _get_library_root_logger()
      library_root_logger.addHandler(_default_handler							)
      library_root_logger.setLevel(_get_default_logging_level()							)
      UpperCAmelCase_				:   int							= False
def   snake_case_    (			):
   global _default_handler

   with _lock:
      if not _default_handler:
         return

      UpperCAmelCase_				:   Tuple							= _get_library_root_logger()
      library_root_logger.removeHandler(_default_handler							)
      library_root_logger.setLevel(logging.NOTSET							)
      UpperCAmelCase_				:   List[Any]							= None
def   snake_case_    (			):
   return log_levels
def   snake_case_    (			__lowercase = None							):

   if name is None:
      UpperCAmelCase_				:   Optional[Any]							= _get_library_name()

   _configure_library_root_logger()
   return logging.getLogger(__lowercase							)
def   snake_case_    (			):
   _configure_library_root_logger()
   return _get_library_root_logger().getEffectiveLevel()
def   snake_case_    (			__lowercase							):
   _configure_library_root_logger()
   _get_library_root_logger().setLevel(__lowercase							)
def   snake_case_    (			):
   return set_verbosity(__lowercase							)
def   snake_case_    (			):
   return set_verbosity(__lowercase							)
def   snake_case_    (			):
   return set_verbosity(__lowercase							)
def   snake_case_    (			):
   return set_verbosity(__lowercase							)
def   snake_case_    (			):
   _configure_library_root_logger()

   assert _default_handler is not None
   _get_library_root_logger().removeHandler(_default_handler							)
def   snake_case_    (			):
   _configure_library_root_logger()

   assert _default_handler is not None
   _get_library_root_logger().addHandler(_default_handler							)
def   snake_case_    (			__lowercase							):
   _configure_library_root_logger()

   assert handler is not None
   _get_library_root_logger().addHandler(__lowercase							)
def   snake_case_    (			__lowercase							):
   _configure_library_root_logger()

   assert handler is not None and handler not in _get_library_root_logger().handlers
   _get_library_root_logger().removeHandler(__lowercase							)
def   snake_case_    (			):
   _configure_library_root_logger()
   UpperCAmelCase_				:   List[Any]							= False
def   snake_case_    (			):
   _configure_library_root_logger()
   UpperCAmelCase_				:   Union[str, Any]							= True
def   snake_case_    (			):
   UpperCAmelCase_				:   Optional[Any]							= _get_library_root_logger().handlers

   for handler in handlers:
      UpperCAmelCase_				:   List[str]							= logging.Formatter('''[%(levelname)s|%(filename)s:%(lineno)s] %(asctime)s >> %(message)s'''							)
      handler.setFormatter(__lowercase							)
def   snake_case_    (			):
   UpperCAmelCase_				:   Any							= _get_library_root_logger().handlers

   for handler in handlers:
      handler.setFormatter(__lowercase							)
def   snake_case_    (			self      ,							*__lowercase      ,							**__lowercase							):
   UpperCAmelCase_				:   str							= os.getenv('''DIFFUSERS_NO_ADVISORY_WARNINGS'''      ,							__lowercase							)
   if no_advisory_warnings:
      return
   self.warning(*__lowercase      ,							**__lowercase							)


__UpperCamelCase					:	Union[str, Any]          =				warning_advice





class 			lowerCAmelCase__:






    '''simple docstring'''





    def __init__(						self					: str							, *__snake_case					: Union[str, Any]							, **__snake_case					: Optional[int]						):  # pylint: disable=unused-argument





       '''simple docstring'''
       UpperCAmelCase_				:   Optional[int]							= args[0] if args else None





    def __iter__(						self					: Dict						):





       '''simple docstring'''
       return iter(self._iterator						)





    def __getattr__(						self					: int							, __snake_case					: List[Any]						):





       '''simple docstring'''

       def empty_fn(*__snake_case					: str							, **__snake_case					: Any						):  # pylint: disable=unused-argument
          return

       return empty_fn





    def __enter__(						self					: List[str]						):





       '''simple docstring'''
       return self





    def __exit__(						self					: Optional[int]							, __snake_case					: Union[str, Any]							, __snake_case					: List[str]							, __snake_case					: Union[str, Any]						):





       '''simple docstring'''
       return





class 			lowerCAmelCase__:






    '''simple docstring'''





    def __call__(						self					: str							, *__snake_case					: List[Any]							, **__snake_case					: int						):





       '''simple docstring'''
       if _tqdm_active:
          return tqdm_lib.tqdm(*__snake_case							, **__snake_case						)
       else:
          return EmptyTqdm(*__snake_case							, **__snake_case						)





    def        _lowerCamelCase			(						self					: List[str]							, *__snake_case					: int							, **__snake_case					: List[str]						):





       '''simple docstring'''
       UpperCAmelCase_				:   List[Any]							= None
       if _tqdm_active:
          return tqdm_lib.tqdm.set_lock(*__snake_case							, **__snake_case						)





    def        _lowerCamelCase			(						self					: int						):





       '''simple docstring'''
       if _tqdm_active:
          return tqdm_lib.tqdm.get_lock()





__UpperCamelCase					:	Optional[Any]          =				_tqdm_cls()
def   snake_case_    (			):
   global _tqdm_active
   return bool(_tqdm_active							)
def   snake_case_    (			):
   global _tqdm_active
   UpperCAmelCase_				:   Optional[Any]							= True


def   snake_case_    (			):
   global _tqdm_active
   UpperCAmelCase_				:   Union[str, Any]							= False



from __future__ import annotations

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





class 			lowerCAmelCase__(     snake_case__    ):






    '''simple docstring'''





    @abstractmethod
    def __lt__(						self					: T							, __snake_case					: T						):





       '''simple docstring'''
       pass





    @abstractmethod
    def __gt__(						self					: T							, __snake_case					: T						):





       '''simple docstring'''
       pass





    @abstractmethod
    def __eq__(						self					: T							, __snake_case					: object						):





       '''simple docstring'''
       pass





__UpperCamelCase					:	Dict          =				TypeVar('T', bound=Comparable)





class 			lowerCAmelCase__(     Generic[T]    ):






    '''simple docstring'''





    def __init__(						self					: Tuple						):





       '''simple docstring'''
       UpperCAmelCase_				:   list[T]							= []
       UpperCAmelCase_				:   int							= 0





    def __repr__(						self					: Any						):





       '''simple docstring'''
       return str(self.h						)





    def        _lowerCamelCase			(						self					: str							, __snake_case					: int						):





       '''simple docstring'''
       if child_idx > 0:
          return (child_idx - 1) // 2
       return None





    def        _lowerCamelCase			(						self					: str							, __snake_case					: int						):





       '''simple docstring'''
       UpperCAmelCase_				:   Dict							= 2 * parent_idx + 1
       if left_child_index < self.heap_size:
          return left_child_index
       return None





    def        _lowerCamelCase			(						self					: int							, __snake_case					: int						):





       '''simple docstring'''
       UpperCAmelCase_				:   Union[str, Any]							= 2 * parent_idx + 2
       if right_child_index < self.heap_size:
          return right_child_index
       return None





    def        _lowerCamelCase			(						self					: Union[str, Any]							, __snake_case					: int						):





       '''simple docstring'''
       if index < self.heap_size:
          UpperCAmelCase_				:   int							= index
          UpperCAmelCase_				:   List[str]							= self.left_child_idx(__snake_case						)
          UpperCAmelCase_				:   List[str]							= self.right_child_idx(__snake_case						)
          # check which child is larger than its parent
          if left_child is not None and self.h[left_child] > self.h[violation]:
             UpperCAmelCase_				:   List[str]							= left_child
          if right_child is not None and self.h[right_child] > self.h[violation]:
             UpperCAmelCase_				:   List[str]							= right_child
          # if violation indeed exists
          if violation != index:
             # swap to fix the violation
             UpperCAmelCase_		,   UpperCAmelCase_				:   List[Any]							= self.h[index], self.h[violation]
             # fix the subsequent violation recursively if any
             self.max_heapify(__snake_case						)





    def        _lowerCamelCase			(						self					: Optional[Any]							, __snake_case					: Iterable[T]						):





       '''simple docstring'''
       UpperCAmelCase_				:   Union[str, Any]							= list(__snake_case						)
       UpperCAmelCase_				:   int							= 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(__snake_case						)





    def        _lowerCamelCase			(						self					: Tuple						):





       '''simple docstring'''
       if self.heap_size >= 2:
          UpperCAmelCase_				:   List[str]							= self.h[0]
          UpperCAmelCase_				:   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        _lowerCamelCase			(						self					: List[str]							, __snake_case					: T						):





       '''simple docstring'''
       self.h.append(__snake_case						)
       UpperCAmelCase_				:   Tuple							= (self.heap_size - 1) // 2
       self.heap_size += 1
       while idx >= 0:
          self.max_heapify(__snake_case						)
          UpperCAmelCase_				:   int							= (idx - 1) // 2





    def        _lowerCamelCase			(						self					: List[str]						):





       '''simple docstring'''
       UpperCAmelCase_				:   Tuple							= self.heap_size
       for j in range(size - 1							, 0							, -1						):
          UpperCAmelCase_		,   UpperCAmelCase_				:   Any							= self.h[j], self.h[0]
          self.heap_size -= 1
          self.max_heapify(0						)
       UpperCAmelCase_				:   Union[str, Any]							= 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[int]          =				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')