



"""simple docstring"""





from math import pow
def      a__			(   lowerCAmelCase__			,    lowerCAmelCase__			,    lowerCAmelCase__			,    lowerCAmelCase__			,    lowerCAmelCase__			,    ):
      if current_sum == needed_sum:
            # If the sum of the powers is equal to needed_sum, then we have a solution.
            solutions_count += 1
            return current_sum, solutions_count

      UpperCAmelCase_    				=							int(pow(lowerCAmelCase__			,    lowerCAmelCase__   )   )
      if current_sum + i_to_n <= needed_sum:
            # If the sum of the powers is less than needed_sum, then continue adding powers.
            current_sum += i_to_n
            UpperCAmelCase_				,					UpperCAmelCase_    				=							backtrack(
                lowerCAmelCase__			,    lowerCAmelCase__			,    current_number + 1			,    lowerCAmelCase__			,    lowerCAmelCase__   )
            current_sum -= i_to_n
      if i_to_n < needed_sum:
            # If the power of i is less than needed_sum, then try with the next power.
            UpperCAmelCase_				,					UpperCAmelCase_    				=							backtrack(
                lowerCAmelCase__			,    lowerCAmelCase__			,    current_number + 1			,    lowerCAmelCase__			,    lowerCAmelCase__   )
      return current_sum, solutions_count
def      a__			(   lowerCAmelCase__			,    lowerCAmelCase__   ):
      if not (1 <= needed_sum <= 1000 and 2 <= power <= 10):
            raise ValueError(
                "Invalid input\n"
                "needed_sum must be between 1 and 1000, power between 2 and 10."   )

      return backtrack(lowerCAmelCase__			,    lowerCAmelCase__			,    1			,    0			,    0   )[1]  # Return the solutions_count


if __name__ == "__main__":
  import doctest

  doctest.testmod()









"""simple docstring"""





import string
def      a__			(   lowerCAmelCase__   ):
      for key in range(len(string.ascii_uppercase   )   ):
            UpperCAmelCase_    				=							""
            for symbol in message:
                  if symbol in string.ascii_uppercase:
                        UpperCAmelCase_    				=							string.ascii_uppercase.find(lowerCAmelCase__   )
                        UpperCAmelCase_    				=							num - key
                        if num < 0:
                              UpperCAmelCase_    				=							num + len(string.ascii_uppercase   )
                        UpperCAmelCase_    				=							translated + string.ascii_uppercase[num]
                  else:
                        UpperCAmelCase_    				=							translated + symbol
            print(f"""Decryption using Key #{key}: {translated}"""   )
def      a__			(   ):
      UpperCAmelCase_    				=							input("Encrypted message: "   )
      UpperCAmelCase_    				=							message.upper()
      decrypt(lowerCAmelCase__   )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()




