


"""simple docstring"""






class 			__lowerCamelCase     :

     '''simple docstring'''


     def __init__(					self			, __UpperCAmelCase							)				->							None:
          _a					= size
          _a					= [0] * size
          _a					= [0] * size


     @staticmethod
     def 							_UpperCAmelCase					(					__UpperCAmelCase							)				->							int:
          return index | (index + 1)


     @staticmethod
     def 							_UpperCAmelCase					(					__UpperCAmelCase							)				->							int:
          return (index & (index + 1)) - 1


     def 							_UpperCAmelCase					(					self			, __UpperCAmelCase			, __UpperCAmelCase							)				->							None:
          _a					= value
          while index < self.size:
               _a					= self.get_prev(SCREAMING_SNAKE_CASE_							) + 1
               if current_left_border == index:
                    _a					= value
               else:
                    _a					= max(SCREAMING_SNAKE_CASE_			, SCREAMING_SNAKE_CASE_			, SCREAMING_SNAKE_CASE_							)
               _a					= self.get_next(SCREAMING_SNAKE_CASE_							)





     def 							_UpperCAmelCase					(					self			, __UpperCAmelCase			, __UpperCAmelCase							)				->							int:
          right -= 1  # Because of right is exclusive
          _a					= 0
          while left <= right:
               _a					= self.get_prev(SCREAMING_SNAKE_CASE_							)
               if left <= current_left:
                    _a					= max(SCREAMING_SNAKE_CASE_			, self.tree[right]							)
                    _a					= current_left
               else:
                    _a					= max(SCREAMING_SNAKE_CASE_			, self.arr[right]							)
                    right -= 1
          return result


if __name__ == "__main__":
   import doctest

   doctest.testmod()

import itertools
import math




def 				a						(							snake_case__:					int					):


				'''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(snake_case__					) + 1					)						,   6					):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True




def 				a						(							):


				'''simple docstring'''
				lowercase_       =					2
				while True:
								if is_prime(snake_case__					):
												yield num
								num += 1




def 				a						(							snake_case__:					int = 10_001					):


				'''simple docstring'''
				return next(itertools.islice(prime_generator()						,   nth - 1						,   snake_case__					)					)


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




