






from __future__ import annotations

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




class        snake_case_					(						__UpperCamelCase			):

						"""simple docstring"""



						@abstractmethod
						def __lt__(self:				T   ,				__UpperCAmelCase:				T      )						->    bool:




											'''simple docstring'''



											pass



						@abstractmethod
						def __gt__(self:				T   ,				__UpperCAmelCase:				T      )						->    bool:




											'''simple docstring'''



											pass



						@abstractmethod
						def __eq__(self:				T   ,				__UpperCAmelCase:				object      )						->    bool:




											'''simple docstring'''



											pass


UpperCAmelCase__			 =	TypeVar('''T''', bound=Comparable)




class        snake_case_					(						Generic[T]			):

						"""simple docstring"""



						def __init__(self:				int      )						->    None:




											'''simple docstring'''



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



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




											'''simple docstring'''



											return str(self.h      )



						def 					UpperCAmelCase__				(self:				Optional[int]   ,				__UpperCAmelCase:				int      )						->    int | None:




											'''simple docstring'''



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



						def 					UpperCAmelCase__				(self:				Tuple   ,				__UpperCAmelCase:				int      )						->    int | None:




											'''simple docstring'''



											__a				:	Union[str, Any]			=				2 * parent_idx + 1
											if left_child_index < self.heap_size:
																return left_child_index
											return None



						def 					UpperCAmelCase__				(self:				List[Any]   ,				__UpperCAmelCase:				int      )						->    int | None:




											'''simple docstring'''



											__a				:	Dict			=				2 * parent_idx + 2
											if right_child_index < self.heap_size:
																return right_child_index
											return None



						def 					UpperCAmelCase__				(self:				Optional[int]   ,				__UpperCAmelCase:				int      )						->    None:




											'''simple docstring'''



											if index < self.heap_size:
																__a				:	int			=				index
																__a				:	int			=				self.left_child_idx(__UpperCAmelCase      )
																__a				:	List[str]			=				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]:
																					__a				:	Optional[Any]			=				left_child
																if right_child is not None and self.h[right_child] > self.h[violation]:
																					__a				:	Union[str, Any]			=				right_child
																# if violation indeed exists
																if violation != index:
																					# swap to fix the violation
																					__a			, __a				:	List[Any]			=				self.h[index], self.h[violation]
																					# fix the subsequent violation recursively if any
																					self.max_heapify(__UpperCAmelCase      )



						def 					UpperCAmelCase__				(self:				Tuple   ,				__UpperCAmelCase:				Iterable[T]      )						->    None:




											'''simple docstring'''



											__a				:	Optional[int]			=				list(__UpperCAmelCase      )
											__a				:	List[Any]			=				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 					UpperCAmelCase__				(self:				Any      )						->    T:




											'''simple docstring'''



											if self.heap_size >= 2:
																__a				:	List[Any]			=				self.h[0]
																__a				:	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 					UpperCAmelCase__				(self:				str   ,				__UpperCAmelCase:				T      )						->    None:




											'''simple docstring'''



											self.h.append(__UpperCAmelCase      )
											__a				:	str			=				(self.heap_size - 1) // 2
											self.heap_size += 1
											while idx >= 0:
																self.max_heapify(__UpperCAmelCase      )
																__a				:	Dict			=				(idx - 1) // 2



						def 					UpperCAmelCase__				(self:				Optional[int]      )						->    None:




											'''simple docstring'''



											__a				:	Dict			=				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				:	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()
						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")













import warnings

from .generation import GenerationMixin




class        snake_case_					(						__UpperCamelCase			):

						"""simple docstring"""



						warnings.warn(
						    """Importing `GenerationMixin` from `src/transformers/generation_utils.py` is deprecated and will """
						    """be removed in Transformers v5. Import as `from transformers import GenerationMixin` instead."""		,       __UpperCamelCase		,       )





