






"""simple docstring"""





from __future__ import annotations

from abc import abstractmethod
from collections.abc import Iterable
from typing import Generic, Protocol, TypeVar
class  __lowerCamelCase     (	_a	):

   @abstractmethod
   def __lt__(       self			,					snake_case_   )		->							int:
       pass

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







   @abstractmethod
   def __eq__(       self			,					snake_case_   )		->							Optional[int]:
       pass







A__       :			Optional[Any]=						TypeVar("""T""", bound=Comparable)
class  __lowerCamelCase     (	Generic[T]	):

   def __init__(       self   )		->							Optional[Any]:
       UpperCamelCase__								=     []
       UpperCamelCase__								=     0

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

   def     SCREAMING_SNAKE_CASE__			(       self			,					snake_case_   )		->							Tuple:



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

   def     SCREAMING_SNAKE_CASE__			(       self			,					snake_case_   )		->							Tuple:
       UpperCamelCase__								=     2 * parent_idx + 1
       if left_child_index < self.heap_size:
           return left_child_index
       return None

   def     SCREAMING_SNAKE_CASE__			(       self			,					snake_case_   )		->							int:
       UpperCamelCase__								=     2 * parent_idx + 2
       if right_child_index < self.heap_size:
           return right_child_index
       return None

   def     SCREAMING_SNAKE_CASE__			(       self			,					snake_case_   )		->							Optional[int]:



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

   def     SCREAMING_SNAKE_CASE__			(       self			,					snake_case_   )		->							List[Any]:
       UpperCamelCase__								=     list(_UpperCAmelCase   )
       UpperCamelCase__								=     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(_UpperCAmelCase   )

   def     SCREAMING_SNAKE_CASE__			(       self   )		->							Any:



       if self.heap_size >= 2:
           UpperCamelCase__								=     self.h[0]
           UpperCamelCase__								=     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			,					snake_case_   )		->							List[Any]:
       self.h.append(_UpperCAmelCase   )
       UpperCamelCase__								=     (self.heap_size - 1) // 2
       self.heap_size += 1
       while idx >= 0:
           self.max_heapify(_UpperCAmelCase   )
           UpperCamelCase__								=     (idx - 1) // 2







   def     SCREAMING_SNAKE_CASE__			(       self   )		->							Dict:
       UpperCamelCase__								=     self.heap_size
       for j in range(size - 1			,					0			,					-1   ):
           UpperCamelCase__							,    UpperCamelCase__								=     self.h[j], self.h[0]
           self.heap_size -= 1
           self.max_heapify(0   )
       UpperCamelCase__								=     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}""")

    A__       :			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_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, is_vision_available


lowerCAmelCase_:       Optional[int]			     =       {"configuration_vit_hybrid": ["VIT_HYBRID_PRETRAINED_CONFIG_ARCHIVE_MAP", "ViTHybridConfig"]}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase_:       Any			     =       [
     "VIT_HYBRID_PRETRAINED_MODEL_ARCHIVE_LIST",
     "ViTHybridForImageClassification",
     "ViTHybridModel",
     "ViTHybridPreTrainedModel",
 ]

try:
 if not is_vision_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase_:       Optional[Any]			     =       ["ViTHybridImageProcessor"]


if TYPE_CHECKING:
 from .configuration_vit_hybrid import VIT_HYBRID_PRETRAINED_CONFIG_ARCHIVE_MAP, ViTHybridConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_vit_hybrid import (
      VIT_HYBRID_PRETRAINED_MODEL_ARCHIVE_LIST,
      ViTHybridForImageClassification,
      ViTHybridModel,
      ViTHybridPreTrainedModel,
  )

 try:
  if not is_vision_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .image_processing_vit_hybrid import ViTHybridImageProcessor


else:
 import sys

 lowerCAmelCase_:       List[Any]			     =       _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)




