




from __future__ import annotations

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

class 			_lowerCamelCase    (      __UpperCAmelCase ):

      """simple docstring"""

      @abstractmethod
      def __lt__(  self       :			T			,							snake_case       :			T					):
          pass







      @abstractmethod
      def __gt__(  self       :			T			,							snake_case       :			T					):
          pass







      @abstractmethod
      def __eq__(  self       :			T			,							snake_case       :			object					):
          pass







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

class 			_lowerCamelCase    (      Generic[T] ):

      """simple docstring"""

      def __init__(  self       :			str					):
          __UpperCamelCase			=    []
          __UpperCamelCase			=    0







      def __repr__(  self       :			Optional[Any]					):
          return str(self.h					)







      def    snake_case						(  self       :			Dict			,							snake_case       :			int					):
          if child_idx > 0:
              return (child_idx - 1) // 2
          return None







      def    snake_case						(  self       :			int			,							snake_case       :			int					):
          __UpperCamelCase			=    2 * parent_idx + 1
          if left_child_index < self.heap_size:
              return left_child_index
          return None







      def    snake_case						(  self       :			Optional[Any]			,							snake_case       :			int					):
          __UpperCamelCase			=    2 * parent_idx + 2
          if right_child_index < self.heap_size:
              return right_child_index
          return None







      def    snake_case						(  self       :			List[Any]			,							snake_case       :			int					):
          if index < self.heap_size:
              __UpperCamelCase			=    index
              __UpperCamelCase			=    self.left_child_idx(lowerCamelCase__					)
              __UpperCamelCase			=    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]:
                  __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(lowerCamelCase__					)







      def    snake_case						(  self       :			Any			,							snake_case       :			Iterable[T]					):
          __UpperCamelCase			=    list(lowerCamelCase__					)
          __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(lowerCamelCase__					)







      def    snake_case						(  self       :			Union[str, 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    snake_case						(  self       :			List[Any]			,							snake_case       :			T					):
          self.h.append(lowerCamelCase__					)
          __UpperCamelCase			=    (self.heap_size - 1) // 2
          self.heap_size += 1
          while idx >= 0:
              self.max_heapify(lowerCamelCase__					)
              __UpperCamelCase			=    (idx - 1) // 2







      def    snake_case						(  self       :			Optional[Any]					):
          __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],
     [103, 9, 1, 7, 11, 15, 25, 201, 209, 107, 5],
     [-45, -2, -5],
 ]:
  print(f"""unsorted array: {unsorted}""")

  a_ 		=  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"""






import os
import unittest

import pytest
from parameterized import parameterized

from transformers.testing_utils import require_torch, require_torch_gpu, slow, torch_device


# skipping in unittest tests

lowerCAmelCase__    :    Union[str, Any]			=      [(1,)]



def     a_		(   ):
				UpperCAmelCase__			 =				bool(os.getenv('RUN_SLOW'   ,     0			)			)
				if run_slow:
								assert True
				else:
								assert False, "should have been skipped"



def     a_		(   ):
				UpperCAmelCase__			 =				bool(os.getenv('RUN_SLOW'   ,     0			)			)
				if run_slow and torch_device == "cuda":
								assert True
				else:
								assert False, "should have been skipped"
@require_torch
class 							snake_case			(					unittest.TestCase							):




					"""simple docstring"""

					@slow
					@require_torch_gpu
					def 						__lowerCAmelCase		(							self  :      Optional[Any]     ):
									check_slow_torch_cuda()







					@require_torch_gpu
					@slow
					def 						__lowerCAmelCase		(							self  :      Any     ):
									check_slow_torch_cuda()







					@parameterized.expand(lowerCamelCase__     )
					@slow
					def 						__lowerCAmelCase		(							self  :      Union[str, Any]       ,lowerCamelCase__  :      str=None     ):
									check_slow()






@slow
@require_torch_gpu
def     a_		(   ):
				check_slow_torch_cuda()



@require_torch_gpu
@slow
def     a_		(   ):
				check_slow_torch_cuda()



@slow
@pytest.mark.parametrize('param'   ,     [1]			)
def     a_		(   lowerCamelCase			):
				check_slow()







@pytest.mark.parametrize('param'   ,     [1]			)
@slow
def     a_		(   lowerCamelCase			):
				check_slow()



