



'''simple docstring'''





from __future__ import annotations

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






class __A      (  A						):



 '''simple docstring'''







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


      """simple docstring"""



      pass



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


      """simple docstring"""



      pass



 @abstractmethod
 def __eq__(self			,       A	)   ->					bool:


      """simple docstring"""



      pass





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






class __A      (  Generic[T]						):



 '''simple docstring'''







 def __init__(self	)   ->					None:


      """simple docstring"""



      _a     =  []
      _a     =  0



 def __repr__(self	)   ->					str:


      """simple docstring"""



      return str(self.h	)



 def  a__  (self			,       A	)   ->					int | None:


      """simple docstring"""



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



 def  a__  (self			,       A	)   ->					int | None:


      """simple docstring"""



      _a     =  2 * parent_idx + 1
      if left_child_index < self.heap_size:
           return left_child_index
      return None



 def  a__  (self			,       A	)   ->					int | None:


      """simple docstring"""



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



 def  a__  (self			,       A	)   ->					None:


      """simple docstring"""



      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  ,   _a     =  self.h[index], self.h[violation]
                # fix the subsequent violation recursively if any
                self.max_heapify(A	)



 def  a__  (self			,       A	)   ->					None:


      """simple docstring"""



      _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  a__  (self	)   ->					T:


      """simple docstring"""



      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  a__  (self			,       A	)   ->					None:


      """simple docstring"""



      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  a__  (self	)   ->					None:


      """simple docstring"""



      _a     =  self.heap_size
      for j in range(size - 1			,       0			,       -1	):
           _a  ,   _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}""")

    lowercase_			=  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
from string import ascii_letters

lowercase_			=  ascii_letters + " \t\n"




def lowerCAmelCase  ():



     """simple docstring"""



     _a     =  os.path.split(os.path.realpath(__A))
     _a     =  {}
     with open(path[0] + '''/dictionary.txt''') as dictionary_file:
          for word in dictionary_file.read().split('''\n'''):
               _a     =  None
     return english_words


lowercase_			=  load_dictionary()




def lowerCAmelCase  (__A):



     """simple docstring"""



     _a     =  message.upper()
     _a     =  remove_non_letters(__A)
     _a     =  message.split()
     _a     =  len([word for word in possible_words if word in ENGLISH_WORDS])
     return float(__A) / len(__A)




def lowerCAmelCase  (__A):



     """simple docstring"""



     return "".join(symbol for symbol in message if symbol in LETTERS_AND_SPACE)




def lowerCAmelCase  (__A  ,     __A = 20  ,     __A = 85):



     """simple docstring"""



     _a     =  get_english_count(__A) * 100 >= word_percentage
     _a     =  len(remove_non_letters(__A))
     _a     =  (float(__A) / len(__A)) * 100
     _a     =  message_letters_percentage >= letter_percentage
     return words_match and letters_match


if __name__ == "__main__":
  import doctest

  doctest.testmod()



