'''simple docstring'''

from __future__ import annotations

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







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





     """simple docstring"""

     pass







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





     """simple docstring"""

     pass







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





     """simple docstring"""

     pass


__snake_case       :   Dict  		=    TypeVar('''T''', bound=Comparable)
class 							lowercase_    (     Generic[T]						):







    def __init__(	self				)				->       None:





     """simple docstring"""

     UpperCAmelCase_				       =					[]
     UpperCAmelCase_				       =					0







    def __repr__(	self				)				->       str:





     """simple docstring"""

     return str(self.h				)







    def   lowerCamelCase_    (	self       ,     UpperCamelCase__				)				->       int | None:





     """simple docstring"""

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







    def   lowerCamelCase_    (	self       ,     UpperCamelCase__				)				->       int | None:





     """simple docstring"""

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







    def   lowerCamelCase_    (	self       ,     UpperCamelCase__				)				->       int | None:





     """simple docstring"""

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







    def   lowerCamelCase_    (	self       ,     UpperCamelCase__				)				->       None:





     """simple docstring"""

     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   lowerCamelCase_    (	self       ,     UpperCamelCase__				)				->       None:





     """simple docstring"""

     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   lowerCamelCase_    (	self				)				->       T:





     """simple docstring"""

     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   lowerCamelCase_    (	self       ,     UpperCamelCase__				)				->       None:





     """simple docstring"""

     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   lowerCamelCase_    (	self				)				->       None:





     """simple docstring"""

     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}''')

            __snake_case       :   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'''

import random
import sys

__snake_case       :   str  		=    '''ABCDEFGHIJKLMNOPQRSTUVWXYZ'''



def lowerCamelCase__						(       ):
 UpperCAmelCase_				       =					input("Enter message: "       )
 UpperCAmelCase_				       =					"LFWOAYUISVKMNXPBDCRJTQEGHZ"
 UpperCAmelCase_				       =					input("Encrypt/Decrypt [e/d]: "       )

 check_valid_key(A_       )

 if resp.lower().startswith("e"       ):
  UpperCAmelCase_				       =					"encrypt"
  UpperCAmelCase_				       =					encrypt_message(A_       ,			A_       )
 elif resp.lower().startswith("d"       ):
  UpperCAmelCase_				       =					"decrypt"
  UpperCAmelCase_				       =					decrypt_message(A_       ,			A_       )

 print(F"""\n{mode.title()}ion: \n{translated}"""       )



def lowerCamelCase__						(       A_       ):
 UpperCAmelCase_				       =					list(A_       )
 UpperCAmelCase_				       =					list(A_       )
 key_list.sort()
 letters_list.sort()

 if key_list != letters_list:
  sys.exit("Error in the key or symbol set."       )



def lowerCamelCase__						(       A_       ,			A_       ):
 return translate_message(A_       ,			A_       ,			"encrypt"       )



def lowerCamelCase__						(       A_       ,			A_       ):
 return translate_message(A_       ,			A_       ,			"decrypt"       )



def lowerCamelCase__						(       A_       ,			A_       ,			A_       ):
 UpperCAmelCase_				       =					""
 UpperCAmelCase_				       =					LETTERS
 UpperCAmelCase_				       =					key

 if mode == "decrypt":
  UpperCAmelCase_       ,       UpperCAmelCase_				       =					chars_b, chars_a

 for symbol in message:
  if symbol.upper() in chars_a:
   UpperCAmelCase_				       =					chars_a.find(symbol.upper()       )
   if symbol.isupper():
    translated += chars_b[sym_index].upper()
   else:
    translated += chars_b[sym_index].lower()
  else:
   translated += symbol

 return translated



def lowerCamelCase__						(       ):
 UpperCAmelCase_				       =					list(A_       )
 random.shuffle(A_       )
 return "".join(A_       )


if __name__ == "__main__":
      main()
