code: from __future__ import annotations
  
  from abc import abstractmethod
  from collections.abc import Iterable
  from typing import Generic, Protocol, TypeVar
  
  
  
  
  class      lowercase_						(						UpperCamelCase_		):
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  	@abstractmethod
  	def __lt__(							self	,    __SCREAMING_SNAKE_CASE       )		->bool:
  								pass
  
  
  	@abstractmethod
  	def __gt__(							self	,    __SCREAMING_SNAKE_CASE       )		->bool:
  								pass
  
  
  
  
  	@abstractmethod
  	def __eq__(							self	,    __SCREAMING_SNAKE_CASE       )		->bool:
  								pass
  lowercase__    :       Tuple						=			TypeVar('''T''', bound=Comparable)
  
  
  
  
  class      lowercase_						(						Generic[T]		):
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  	def __init__(							self       )		->None:
  								lowerCAmelCase				=	[]
  								lowerCAmelCase				=	0
  
  
  	def __repr__(							self       )		->str:
  								return str(self.h       )
  
  
  	def     SCREAMING_SNAKE_CASE_       (							self	,    __SCREAMING_SNAKE_CASE       )		->int | None:
  								if child_idx > 0:
  															return (child_idx - 1) // 2
  								return None
  
  
  	def     SCREAMING_SNAKE_CASE_       (							self	,    __SCREAMING_SNAKE_CASE       )		->int | None:
  								lowerCAmelCase				=	2 * parent_idx + 1
  								if left_child_index < self.heap_size:
  															return left_child_index
  								return None
  
  
  	def     SCREAMING_SNAKE_CASE_       (							self	,    __SCREAMING_SNAKE_CASE       )		->int | None:
  								lowerCAmelCase				=	2 * parent_idx + 2
  								if right_child_index < self.heap_size:
  															return right_child_index
  								return None
  
  
  	def     SCREAMING_SNAKE_CASE_       (							self	,    __SCREAMING_SNAKE_CASE       )		->None:
  								if index < self.heap_size:
  															lowerCAmelCase				=	index
  															lowerCAmelCase				=	self.left_child_idx(__SCREAMING_SNAKE_CASE       )
  															lowerCAmelCase				=	self.right_child_idx(__SCREAMING_SNAKE_CASE       )
  															# check which child is larger than its parent
  															if left_child is not None and self.h[left_child] > self.h[violation]:
  																						lowerCAmelCase				=	left_child
  															if right_child is not None and self.h[right_child] > self.h[violation]:
  																						lowerCAmelCase				=	right_child
  															# if violation indeed exists
  															if violation != index:
  																						# swap to fix the violation
  																						lowerCAmelCase	,   lowerCAmelCase				=	self.h[index], self.h[violation]
  																						# fix the subsequent violation recursively if any
  																						self.max_heapify(__SCREAMING_SNAKE_CASE       )
  
  
  	def     SCREAMING_SNAKE_CASE_       (							self	,    __SCREAMING_SNAKE_CASE       )		->None:
  								lowerCAmelCase				=	list(__SCREAMING_SNAKE_CASE       )
  								lowerCAmelCase				=	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(__SCREAMING_SNAKE_CASE       )
  
  
  	def     SCREAMING_SNAKE_CASE_       (							self       )		->T:
  								if self.heap_size >= 2:
  															lowerCAmelCase				=	self.h[0]
  															lowerCAmelCase				=	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     SCREAMING_SNAKE_CASE_       (							self	,    __SCREAMING_SNAKE_CASE       )		->None:
  								self.h.append(__SCREAMING_SNAKE_CASE       )
  								lowerCAmelCase				=	(self.heap_size - 1) // 2
  								self.heap_size += 1
  								while idx >= 0:
  															self.max_heapify(__SCREAMING_SNAKE_CASE       )
  															lowerCAmelCase				=	(idx - 1) // 2
  
  
  
  
  	def     SCREAMING_SNAKE_CASE_       (							self       )		->None:
  								lowerCAmelCase				=	self.heap_size
  								for j in range(size - 1	,    0	,    -1       ):
  															lowerCAmelCase	,   lowerCAmelCase				=	self.h[j], self.h[0]
  															self.heap_size -= 1
  															self.max_heapify(0       )
  								lowerCAmelCase				=	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, 1_0, 8],
  	    [1_0_3, 9, 1, 7, 1_1, 1_5, 2_5, 2_0_1, 2_0_9, 1_0_7, 5],
  	    [-4_5, -2, -5],
  	]:
  		print(f'unsorted array: {unsorted}')
  
  		lowercase__    :       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(1_0_0)
  		print(f'after new value 100 inserted: {heap}')
  
  		heap.heap_sort()
  		print(f'heap-sorted array: {heap}\n')
  
  
  
  
style_context: import glob
  import os
  
  from get_test_info import get_tester_classes
  
  
  if __name__ == "__main__":
  	lowercase__    :       List[Any]						=			[]
  
  	lowercase__    :       Optional[Any]						=			os.path.join('''tests''', '''models''', '''**''', '''test_modeling_*.py''')
  	lowercase__    :       Optional[int]						=			glob.glob(pattern)
  	# TODO: deal with TF/Flax too
  	lowercase__    :       Dict						=			[
  	    x for x in test_files if not (x.startswith('''test_modeling_tf_''') or x.startswith('''test_modeling_flax_'''))
  	]
  
  	for test_file in test_files:
  		lowercase__    :       Tuple						=			get_tester_classes(test_file)
  		for tester_class in tester_classes:
  			# A few tester classes don't have `parent` parameter in `__init__`.
  			# TODO: deal this better
  			try:
  				lowercase__    :       Union[str, Any]						=			tester_class(parent=None)
  			except Exception:
  				continue
  			if hasattr(tester, '''get_config'''):
  				lowercase__    :       Union[str, Any]						=			tester.get_config()
  				for k, v in config.to_dict().items():
  					if isinstance(v, int):
  						lowercase__    :       int						=			None
  						if k in ["vocab_size"]:
  							lowercase__    :       Optional[int]						=			1_0_0
  						elif k in ["max_position_embeddings"]:
  							lowercase__    :       Union[str, Any]						=			1_2_8
  						elif k in ["hidden_size", "d_model"]:
  							lowercase__    :       Optional[Any]						=			4_0
  						elif k == ["num_layers", "num_hidden_layers", "num_encoder_layers", "num_decoder_layers"]:
  							lowercase__    :       Dict						=			5
  						if target is not None and v > target:
  							failures.append(
  							    f'{tester_class.__name__} will produce a `config` of type `{config.__class__.__name__}`'
  							    f' with config["{k}"] = {v} which is too large for testing! Set its value to be smaller'
  							    f' than {target}.'
  							)
  
  	if len(failures) > 0:
  		raise Exception(f'There were {len(failures)} failures:\n' + '''\n'''.join(failures))
  
  
  
  