

from __future__ import annotations

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



class 						lowercase_					(						UpperCamelCase_  ):



      @abstractmethod
      def __lt__(    self   :       Any    ,      A__   :       Optional[Any]	)					->  bool:
        pass



      @abstractmethod
      def __gt__(    self   :       List[str]    ,      A__   :       int	)					->  bool:
        pass







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

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



class 						lowercase_					(						Generic[T]  ):



      def __init__(    self   :       Union[str, Any]	)					->  None:
        _snake_case		=							[]
        _snake_case		=							0



      def __repr__(    self   :       int	)					->  str:
        return str(self.h	)



      def 		UpperCamelCase_	(    self   :       Tuple    ,      A__   :       Union[str, Any]	)					->  int | None:
        if child_idx > 0:
          return (child_idx - 1) // 2
        return None



      def 		UpperCamelCase_	(    self   :       Dict    ,      A__   :       List[str]	)					->  int | None:
        _snake_case		=							2 * parent_idx + 1
        if left_child_index < self.heap_size:
          return left_child_index
        return None



      def 		UpperCamelCase_	(    self   :       Optional[Any]    ,      A__   :       int	)					->  int | None:
        _snake_case		=							2 * parent_idx + 2
        if right_child_index < self.heap_size:
          return right_child_index
        return None



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



      def 		UpperCamelCase_	(    self   :       List[Any]    ,      A__   :       List[Any]	)					->  None:
        _snake_case		=							list(__SCREAMING_SNAKE_CASE	)
        _snake_case		=							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(__SCREAMING_SNAKE_CASE	)



      def 		UpperCamelCase_	(    self   :       int	)					->  T:
        if self.heap_size >= 2:
          _snake_case		=							self.h[0]
          _snake_case		=							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   :       Any    ,      A__   :       int	)					->  None:
        self.h.append(__SCREAMING_SNAKE_CASE	)
        _snake_case		=							(self.heap_size - 1) // 2
        self.heap_size += 1
        while idx >= 0:
          self.max_heapify(__SCREAMING_SNAKE_CASE	)
          _snake_case		=							(idx - 1) // 2







      def 		UpperCamelCase_	(    self   :       List[Any]	)					->  None:
        _snake_case		=							self.heap_size
        for j in range(size - 1    ,      0    ,      -1	):
          _snake_case,  _snake_case		=							self.h[j], self.h[0]
          self.heap_size -= 1
          self.max_heapify(0	)
        _snake_case		=							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()
      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''')




import random
import sys

from . import cryptomath_module as cryptomath

__A    	=			(
    r''' !"#$%&\'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`'''
    r'''abcdefghijklmnopqrstuvwxyz{|}~'''
)



def    snake_case_(_UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase  )							->			None:



  """simple docstring"""






  if mode == "encrypt":
    if key_a == 1:
      sys.exit(
          '''The affine cipher becomes weak when key '''
          '''A is set to 1. Choose different key'''  )
    if key_b == 0:
      sys.exit(
          '''The affine cipher becomes weak when key '''
          '''B is set to 0. Choose different key'''  )
  if key_a < 0 or key_b < 0 or key_b > len(_UpperCamelCase  ) - 1:
    sys.exit(
        '''Key A must be greater than 0 and key B must '''
        F"""be between 0 and {len(_UpperCamelCase  ) - 1}."""  )
  if cryptomath.gcd(_UpperCamelCase				, len(_UpperCamelCase  )  ) != 1:
    sys.exit(
        F"""Key A {key_a} and the symbol set size {len(_UpperCamelCase  )} """
        '''are not relatively prime. Choose a different key.'''  )



def    snake_case_(_UpperCamelCase				, _UpperCamelCase  )							->			str:



  """simple docstring"""






  _snake_case,  _snake_case		=							divmod(_UpperCamelCase				, len(_UpperCamelCase  )  )
  check_keys(_UpperCamelCase				, _UpperCamelCase				, '''encrypt'''  )
  _snake_case		=							''''''
  for symbol in message:
    if symbol in SYMBOLS:
      _snake_case		=							SYMBOLS.find(_UpperCamelCase  )
      cipher_text += SYMBOLS[(sym_index * key_a + key_b) % len(_UpperCamelCase  )]
    else:
      cipher_text += symbol
  return cipher_text



def    snake_case_(_UpperCamelCase				, _UpperCamelCase  )							->			str:



  """simple docstring"""






  _snake_case,  _snake_case		=							divmod(_UpperCamelCase				, len(_UpperCamelCase  )  )
  check_keys(_UpperCamelCase				, _UpperCamelCase				, '''decrypt'''  )
  _snake_case		=							''''''
  _snake_case		=							cryptomath.find_mod_inverse(_UpperCamelCase				, len(_UpperCamelCase  )  )
  for symbol in message:
    if symbol in SYMBOLS:
      _snake_case		=							SYMBOLS.find(_UpperCamelCase  )
      plain_text += SYMBOLS[
          (sym_index - key_b) * mod_inverse_of_key_a % len(_UpperCamelCase  )
      ]
    else:
      plain_text += symbol
  return plain_text



def    snake_case_()							->			int:



  """simple docstring"""






  while True:
    _snake_case		=							random.randint(2				, len(_UpperCamelCase  )  )
    _snake_case		=							random.randint(2				, len(_UpperCamelCase  )  )
    if cryptomath.gcd(_UpperCamelCase				, len(_UpperCamelCase  )  ) == 1 and key_b % len(_UpperCamelCase  ) != 0:
      return key_b * len(_UpperCamelCase  ) + key_b



def    snake_case_()							->			None:



  """simple docstring"""






  _snake_case		=							input('''Enter message: '''  ).strip()
  _snake_case		=							int(input('''Enter key [2000 - 9000]: '''  ).strip()  )
  _snake_case		=							input('''Encrypt/Decrypt [E/D]: '''  ).strip().lower()

  if mode.startswith('''e'''  ):
    _snake_case		=							'''encrypt'''
    _snake_case		=							encrypt_message(_UpperCamelCase				, _UpperCamelCase  )
  elif mode.startswith('''d'''  ):
    _snake_case		=							'''decrypt'''
    _snake_case		=							decrypt_message(_UpperCamelCase				, _UpperCamelCase  )
  print(F"""\n{mode.title()}ed text: \n{translated}"""  )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 # main()

