




from __future__ import annotations

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




class        snake_case__				(__snake_case  ):
				"""simple docstring"""



				@abstractmethod
				def __lt__( self							:	List[str]   , __lowerCamelCase							:	Any				)   ->	Optional[Any]:
							pass





				@abstractmethod
				def __gt__( self							:	List[Any]   , __lowerCamelCase							:	List[str]				)   ->	Optional[Any]:
							pass





				@abstractmethod
				def __eq__( self							:	str   , __lowerCamelCase							:	Tuple				)   ->	int:
							pass

__lowerCAmelCase						:							List[Any]			     =						TypeVar('T', bound=Comparable)




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



				def __init__( self							:	int				)   ->	Tuple:
							a       =     []
							a       =     0





				def __repr__( self							:	Any				)   ->	List[Any]:
							return str(self.h				)





				def 				__UpperCAmelCase				( self							:	Tuple   , __lowerCamelCase							:	List[str]				)   ->	Any:

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





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





				def 				__UpperCAmelCase				( self							:	Dict   , __lowerCamelCase							:	Any				)   ->	Tuple:
							a       =     2 * parent_idx + 2
							if right_child_index < self.heap_size:
										return right_child_index
							return None





				def 				__UpperCAmelCase				( self							:	Optional[int]   , __lowerCamelCase							:	Optional[int]				)   ->	Any:

							if index < self.heap_size:
										a       =     index
										a       =     self.left_child_idx(a_				)
										a       =     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]:
													a       =     left_child
										if right_child is not None and self.h[right_child] > self.h[violation]:
													a       =     right_child
										# if violation indeed exists
										if violation != index:
													# swap to fix the violation
													a       =     self.h[index], self.h[violation]
													# fix the subsequent violation recursively if any
													self.max_heapify(a_				)





				def 				__UpperCAmelCase				( self							:	int   , __lowerCamelCase							:	Any				)   ->	Optional[Any]:
							a       =     list(a_				)
							a       =     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 				__UpperCAmelCase				( self							:	List[Any]				)   ->	Tuple:

							if self.heap_size >= 2:
										a       =     self.h[0]
										a       =     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 				__UpperCAmelCase				( self							:	Optional[int]   , __lowerCamelCase							:	List[str]				)   ->	Union[str, Any]:
							self.h.append(a_				)
							a       =     (self.heap_size - 1) // 2
							self.heap_size += 1
							while idx >= 0:
										self.max_heapify(a_				)
										a       =     (idx - 1) // 2





				def 				__UpperCAmelCase				( self							:	str				)   ->	Dict:
							a       =     self.heap_size
							for j in range(size - 1   , 0   , -1				):
										a       =     self.h[j], self.h[0]
										self.heap_size -= 1
										self.max_heapify(0				)
							a       =     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}''')

				__lowerCAmelCase						:							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''')










"""simple docstring"""
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


SCREAMING_SNAKE_CASE					:       Tuple							   =							{
    """configuration_realm""": ["""REALM_PRETRAINED_CONFIG_ARCHIVE_MAP""", """RealmConfig"""],
    """tokenization_realm""": ["""RealmTokenizer"""],
}

try:
			if not is_tokenizers_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			SCREAMING_SNAKE_CASE					:       Optional[Any]							   =							["""RealmTokenizerFast"""]

try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			SCREAMING_SNAKE_CASE					:       Dict							   =							[
			    """REALM_PRETRAINED_MODEL_ARCHIVE_LIST""",
			    """RealmEmbedder""",
			    """RealmForOpenQA""",
			    """RealmKnowledgeAugEncoder""",
			    """RealmPreTrainedModel""",
			    """RealmReader""",
			    """RealmScorer""",
			    """load_tf_weights_in_realm""",
			]
			SCREAMING_SNAKE_CASE					:       Union[str, Any]							   =							["""RealmRetriever"""]


if TYPE_CHECKING:
			from .configuration_realm import REALM_PRETRAINED_CONFIG_ARCHIVE_MAP, RealmConfig
			from .tokenization_realm import RealmTokenizer

			try:
						if not is_tokenizers_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .tokenization_realm import RealmTokenizerFast

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_realm import (
						    REALM_PRETRAINED_MODEL_ARCHIVE_LIST,
						    RealmEmbedder,
						    RealmForOpenQA,
						    RealmKnowledgeAugEncoder,
						    RealmPreTrainedModel,
						    RealmReader,
						    RealmScorer,
						    load_tf_weights_in_realm,
						)
						from .retrieval_realm import RealmRetriever


else:
			import sys

			SCREAMING_SNAKE_CASE					:       str							   =							_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





