






"""simple docstring"""





from __future__ import annotations







def      lowerCamelCase__       (							_lowerCamelCase       :		Dict		,				_lowerCamelCase       :		int )      ->				bool:

  if len(__lowerCAmelCase ) == 0:
    return False
  lowerCamelCase_         =						len(__lowerCAmelCase ) // 2
  if a_list[midpoint] == item:
    return True
  if item < a_list[midpoint]:
    return binary_search(a_list[:midpoint]		,				__lowerCAmelCase )
  else:
    return binary_search(a_list[midpoint + 1 :]		,				__lowerCAmelCase )


if __name__ == "__main__":
  _SCREAMING_SNAKE_CASE					:				Any					    =						input('''Enter numbers separated by comma:\n''').strip()
  _SCREAMING_SNAKE_CASE					:				Dict					    =						[int(item.strip()) for item in user_input.split(''',''')]
  _SCREAMING_SNAKE_CASE					:				int					    =						int(input('''Enter the number to be found in the list:\n''').strip())
  _SCREAMING_SNAKE_CASE					:				str					    =						'''''' if binary_search(sequence, target) else '''not '''
  print(F'''{target} was {not_str}found in {sequence}''')









import random

from .binary_exp_mod import bin_exp_mod



def 			_lowerCAmelCase       (					__lowerCAmelCase  ,  __lowerCAmelCase=1000      )   ->					str:


				"""simple docstring"""

				if n < 2:
								return False

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

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

				# n - 1=d*(2**exp)
				snake_case__	:      List[str]     		=	0
				while count < prec:
								snake_case__	:      List[str]     		=	random.randint(2  ,  n - 1      )
								snake_case__	:      Optional[Any]     		=	bin_exp_mod(__lowerCAmelCase  ,  __lowerCAmelCase  ,  __lowerCAmelCase      )
								if b != 1:
												snake_case__	:      List[Any]     		=	True
												for _ in range(__lowerCAmelCase      ):
																if b == n - 1:
																				snake_case__	:      List[str]     		=	False
																				break
																snake_case__	:      str     		=	b * b
																b %= n
												if flag:
																return False
												count += 1
				return True


if __name__ == "__main__":
				A__								=						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)))

