



'''simple docstring'''





from itertools import permutations
def 		_a   (  lowerCamelCase_ = 5							):
   if gon_side < 3 or gon_side > 5:
      raise ValueError('''gon_side must be in the range [3, 5]'''							)

   # Since it's 16, we know 10 is on the outer ring
   # Put the big numbers at the end so that they are never the first number
   snake_case   :							str						  =list(range(gon_side + 1					,						0					,						-1							)							)
   snake_case   :							List[Any]						  =list(range(gon_side + 2					,						gon_side * 2 + 1							)							)

   for perm in permutations(small_numbers + big_numbers							):
      snake_case   :							Optional[Any]						  =generate_gon_ring(lowerCamelCase_					,						list(lowerCamelCase_							)							)
      if is_magic_gon(lowerCamelCase_							):
         return int(''''''.join(str(lowerCamelCase_							) for n in numbers							)							)

   snake_case   :							int						  =F'''Magic {gon_side}-gon ring is impossible'''
   raise ValueError(lowerCamelCase_							)
def 		_a   (  lowerCamelCase_					,						lowerCamelCase_							):
   snake_case   :							List[str]						  =[0] * (gon_side * 3)
   snake_case   :							Union[str, Any]						  =perm[0:3]
   perm.append(perm[1]							)

   snake_case   :							List[Any]						  =1 if gon_side < 5 else 2

   for i in range(1					,						len(lowerCamelCase_							) // 3 + magic_number							):
      snake_case   :							Union[str, Any]						  =perm[2 * i + 1]
      snake_case   :							int						  =result[3 * i - 1]
      snake_case   :							Dict						  =perm[2 * i + 2]

   return result
def 		_a   (  lowerCamelCase_							):
   if len(lowerCamelCase_							) % 3 != 0:
      raise ValueError('''a gon ring should have a length that is a multiple of 3'''							)

   if min(numbers[::3]							) != numbers[0]:
      return False

   snake_case   :							List[Any]						  =sum(numbers[:3]							)

   return all(sum(numbers[i : i + 3]							) == total for i in range(3					,						len(lowerCamelCase_							)					,						3							)							)


if __name__ == "__main__":
      print(solution())










'''simple docstring'''





from __future__ import annotations

import random
import string





class 							lowerCAmelCase_		:





    def __init__(    self    :    Union[str, Any],    _snake_case    :    str | None = None     ):



       '''simple docstring'''







       snake_case   :							Optional[int]						  =passcode or self.__passcode_creator()
       snake_case   :							List[str]						  =self.__make_key_list()
       snake_case   :							Dict						  =self.__make_shift_key()





    def __str__(    self    :    List[Any]     ):



       '''simple docstring'''







       return "".join(self.__passcode     )





    def 					__snake_case       (    self    :    int,    _snake_case    :    list[int]     ):



       '''simple docstring'''







       for i in range(1,    len(_snake_case     ),    2     ):
          iterlist[i] *= -1
       return iterlist





    def 					__snake_case       (    self    :    Optional[int]     ):



       '''simple docstring'''







       snake_case   :							int						  =string.ascii_letters + string.digits
       snake_case   :							Union[str, Any]						  =[random.choice(_snake_case     ) for _ in range(random.randint(10,    20     )     )]
       return password





    def 					__snake_case       (    self    :    Optional[int]     ):



       '''simple docstring'''







       snake_case   :							Dict						  =(
           string.ascii_letters + string.digits + string.punctuation + ''' \t\n'''
       )

       snake_case   :							Any						  =[]

       # creates points known as breakpoints to break the key_list_options at those
       # points and pivot each substring
       snake_case   :							Optional[int]						  =sorted(set(self.__passcode     )     )
       snake_case   :							list[str]						  =[]

       # algorithm for creating a new shuffled list, keys_l, out of key_list_options
       for i in key_list_options:
          temp_list.extend(_snake_case     )

          # checking breakpoints at which to pivot temporary sublist and add it into
          # keys_l
          if i in breakpoints or i == key_list_options[-1]:
             keys_l.extend(temp_list[::-1]     )
             temp_list.clear()

        # returning a shuffled keys_l to prevent brute force guessing of shift key
       return keys_l





    def 					__snake_case       (    self    :    Union[str, Any]     ):



       '''simple docstring'''







       snake_case   :							str						  =sum(self.__neg_pos([ord(_snake_case     ) for x in self.__passcode]     )     )
       return num if num > 0 else len(self.__passcode     )





    def 					__snake_case       (    self    :    Optional[int],    _snake_case    :    str     ):



       '''simple docstring'''







       snake_case   :							List[Any]						  =''''''

       # decoding shift like Caesar cipher algorithm implementing negative shift or
       # reverse shift or left shift
       for i in encoded_message:
          snake_case   :							Optional[int]						  =self.__key_list.index(_snake_case     )
          decoded_message += self.__key_list[
              (position - self.__shift_key) % -len(self.__key_list     )
          ]

       return decoded_message






    def 					__snake_case       (    self    :    Union[str, Any],    _snake_case    :    str     ):



       '''simple docstring'''







       snake_case   :							int						  =''''''

       # encoding shift like Caesar cipher algorithm implementing positive shift or
       # forward shift or right shift
       for i in plaintext:
          snake_case   :							int						  =self.__key_list.index(_snake_case     )
          encoded_message += self.__key_list[
              (position + self.__shift_key) % len(self.__key_list     )
          ]

       return encoded_message




def 		_a   (  lowerCamelCase_ = "Hello, this is a modified Caesar cipher"							):
   snake_case   :							List[Any]						  =ShuffledShiftCipher()
   return cipa.decrypt(cipa.encrypt(lowerCamelCase_							)							)


if __name__ == "__main__":
      import doctest

      doctest.testmod()





