




'''simple docstring'''




from __future__ import annotations

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






class     UpperCamelCase_     (a__     ):







						"""simple docstring"""


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





											"""simple docstring"""







											pass







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





											"""simple docstring"""







											pass







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





											"""simple docstring"""







											pass






snake_case__          =						TypeVar("""T""", bound=Comparable)






class     UpperCamelCase_     (Generic[T]     ):







						"""simple docstring"""


						def __init__(     self      :       int    ):





											"""simple docstring"""







											A_ :     list[T] =							[]
											A_ :     int =							0







						def __repr__(     self      :       Dict    ):





											"""simple docstring"""







											return str(self.h    )







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





											"""simple docstring"""







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







						def       _a    (     self      :       Optional[int]							, _lowerCamelCase      :       int    ):





											"""simple docstring"""







											A_ :     Optional[Any] =							2 * parent_idx + 1
											if left_child_index < self.heap_size:
																return left_child_index
											return None







						def       _a    (     self      :       Any							, _lowerCamelCase      :       int    ):





											"""simple docstring"""







											A_ :     Any =							2 * parent_idx + 2
											if right_child_index < self.heap_size:
																return right_child_index
											return None







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





											"""simple docstring"""







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







						def       _a    (     self      :       Union[str, Any]							, _lowerCamelCase      :       Iterable[T]    ):





											"""simple docstring"""







											A_ :     str =							list(_lowerCamelCase    )
											A_ :     str =							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(_lowerCamelCase    )







						def       _a    (     self      :       List[str]    ):





											"""simple docstring"""







											if self.heap_size >= 2:
																A_ :     Union[str, Any] =							self.h[0]
																A_ :     List[str] =							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       _a    (     self      :       int							, _lowerCamelCase      :       T    ):





											"""simple docstring"""







											self.h.append(_lowerCamelCase    )
											A_ :     Optional[int] =							(self.heap_size - 1) // 2
											self.heap_size += 1
											while idx >= 0:
																self.max_heapify(_lowerCamelCase    )
																A_ :     Union[str, Any] =							(idx - 1) // 2







						def       _a    (     self      :       int    ):





											"""simple docstring"""







											A_ :     Tuple =							self.heap_size
											for j in range(size - 1							, 0							, -1    ):
																A_ ,A_ :     Union[str, Any] =							self.h[j], self.h[0]
																self.heap_size -= 1
																self.max_heapify(0    )
											A_ :     Dict =							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],
							    [1_03, 9, 1, 7, 11, 15, 25, 2_01, 2_09, 1_07, 5],
							    [-45, -2, -5],
							]:
														print(F'unsorted array: {unsorted}')

														snake_case__          =						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_00)
														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_torch_available


snake_case__          =						{"""configuration_nat""": ["""NAT_PRETRAINED_CONFIG_ARCHIVE_MAP""", """NatConfig"""]}


try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							snake_case__          =						[
							    """NAT_PRETRAINED_MODEL_ARCHIVE_LIST""",
							    """NatForImageClassification""",
							    """NatModel""",
							    """NatPreTrainedModel""",
							    """NatBackbone""",
							]

if TYPE_CHECKING:
							from .configuration_nat import NAT_PRETRAINED_CONFIG_ARCHIVE_MAP, NatConfig

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_nat import (
														    NAT_PRETRAINED_MODEL_ARCHIVE_LIST,
														    NatBackbone,
														    NatForImageClassification,
														    NatModel,
														    NatPreTrainedModel,
														)

else:
							import sys

							snake_case__          =						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)



