


def        _UpperCamelCase							(      lowercase__ = 10    ,       lowercase__ = 1000    ,       lowercase__ = True      ):
						assert (
						    isinstance(lowercase__    ,       lowercase__      )
						    and isinstance(lowercase__    ,       lowercase__      )
						    and isinstance(lowercase__    ,       lowercase__      )
						), "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        _UpperCamelCase							(      lowercase__    ,       lowercase__      ):
						return int((number_a + number_a) / 2      )


def        _UpperCamelCase							(      lowercase__    ,       lowercase__    ,       lowercase__      ):
						assert (
						    isinstance(lowercase__    ,       lowercase__      ) and isinstance(lowercase__    ,       lowercase__      ) and isinstance(lowercase__    ,       lowercase__      )
						), '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(lowercase__      ) -> str:
												if number > to_guess:
																		return "high"
												elif number < to_guess:
																		return "low"
												else:
																		return "same"

						print('''started...'''      )

						__SCREAMING_SNAKE_CASE						:     Dict					=		lower
						__SCREAMING_SNAKE_CASE						:     Union[str, Any]					=		higher

						__SCREAMING_SNAKE_CASE						:     List[Any]					=		[]

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

												if answer(lowercase__      ) == "low":
																		__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		number
												elif answer(lowercase__      ) == "high":
																		__SCREAMING_SNAKE_CASE						:     Dict					=		number
												else:
																		break

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


def        _UpperCamelCase							(      ):
						__SCREAMING_SNAKE_CASE						:     List[str]					=		int(input('''Enter lower value : '''      ).strip()      )
						__SCREAMING_SNAKE_CASE						:     Dict					=		int(input('''Enter high value : '''      ).strip()      )
						__SCREAMING_SNAKE_CASE						:     List[Any]					=		int(input('''Enter value to guess : '''      ).strip()      )
						guess_the_number(lowercase__    ,       lowercase__    ,       lowercase__      )


if __name__ == "__main__":
						main()


import random

from .binary_exp_mod import bin_exp_mod



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__=1000		):
					'''simple docstring'''
					if n < 2:
										return False

					if n % 2 == 0:
										return n == 2

					# this means n is odd
					lowercase							=						n - 1
					lowercase							=						0
					while d % 2 == 0:
										d /= 2
										exp += 1

					# n - 1=d*(2**exp)
					lowercase							=						0
					while count < prec:
										lowercase							=						random.randint(2 ,			n - 1		)
										lowercase							=						bin_exp_mod(lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__		)
										if b != 1:
															lowercase							=						True
															for _ in range(lowerCAmelCase__		):
																				if b == n - 1:
																									lowercase							=						False
																									break
																				lowercase							=						b * b
																				b %= n
															if flag:
																				return False
															count += 1
					return True


if __name__ == "__main__":
							lowercase__		:Tuple   =    abs(int(input("Enter bound : ").strip()))
							print("Here's the list of primes:")
							print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))




