"""simple docstring"""


def 					__a   (		A = 10    ,				A = 10_00    ,				A = True      ):






     '''simple docstring'''



     assert (
         isinstance(A    ,				A      )
         and isinstance(A    ,				A      )
         and isinstance(A    ,				A      )
     ), "Invalid type of value(s) specified to function!"

     if min_val > max_val:
          raise ValueError("Invalid value for min_val or max_val (min_value < max_value)"      )
     return min_val if option else max_val







def 					__a   (		A    ,				A      ):






     '''simple docstring'''



     return int((number_a + number_a) / 2      )







def 					__a   (		A    ,				A    ,				A      ):






     '''simple docstring'''



     assert (
         isinstance(A    ,				A      ) and isinstance(A    ,				A      ) and isinstance(A    ,				A      )
     ), 'argument values must be type of "int"'

     if lower > higher:
          raise ValueError("argument value for lower and higher must be(lower > higher)"      )

     if not lower < to_guess < higher:
          raise ValueError(
              "guess value must be within the range of lower and higher value"      )

     def answer(A      ) -> str:
          if number > to_guess:
               return "high"
          elif number < to_guess:
               return "low"
          else:
               return "same"

     print("started..."      )

     lowercase__				 =							lower
     lowercase__				 =							higher

     lowercase__				 =							[]

     while True:
          lowercase__				 =							get_avg(A    ,				A      )
          last_numbers.append(A      )

          if answer(A      ) == "low":
               lowercase__				 =							number
          elif answer(A      ) == "high":
               lowercase__				 =							number
          else:
               break

     print(f'''guess the number : {last_numbers[-1]}'''      )
     print(f'''details : {last_numbers!s}'''      )







def 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							int(input("Enter lower value : "      ).strip()      )
     lowercase__				 =							int(input("Enter high value : "      ).strip()      )
     lowercase__				 =							int(input("Enter value to guess : "      ).strip()      )
     guess_the_number(A    ,				A    ,				A      )


if __name__ == "__main__":
 main()





"""simple docstring"""


from __future__ import annotations

import math







def 					__a   (		A      ):






     '''simple docstring'''



     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5    ,				int(math.sqrt(A      ) + 1      )    ,				6      ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True


lowerCAmelCase_:					Optional[Any]     =					[num for num in range(3, 1_0_0_0_0_1, 2) if not is_prime(num)]







def 					__a   (		A      ):






     '''simple docstring'''



     if not isinstance(A    ,				A      ):
          raise ValueError("n must be an integer"      )
     if n <= 0:
          raise ValueError("n must be >= 0"      )

     lowercase__				 =							[]
     for num in range(len(A      )      ):
          lowercase__				 =							0
          while 2 * i * i <= odd_composites[num]:
               lowercase__				 =							odd_composites[num] - 2 * i * i
               if is_prime(A      ):
                    break
               i += 1
          else:
               list_nums.append(odd_composites[num]      )
               if len(A      ) == n:
                    return list_nums

     return []







def 					__a   (		):






     '''simple docstring'''



     return compute_nums(1      )[0]


if __name__ == "__main__":
 print(F'{solution() = }')




