





"""simple docstring"""
from collections import OrderedDict
from dataclasses import fields
from typing import Any, Tuple

import numpy as np

from .import_utils import is_torch_available



def   __lowerCamelCase     (							a_  :	str							)    ->   Optional[int]:
      if is_torch_available():
            import torch

            if isinstance(a_				,     torch.Tensor							):
                  return True

      return isinstance(a_				,     np.ndarray							)







class       _SCREAMING_SNAKE_CASE(     A						):




       def 					_UpperCamelCase  (		self							)    ->   Dict:





             """simple docstring"""






             __SCREAMING_SNAKE_CASE     :List[str]	       =						fields(self							)

             # Safety and consistency checks
             if not len(SCREAMING_SNAKE_CASE__							):
                   raise ValueError(f'''{self.__class__.__name__} has no fields.'''							)

             __SCREAMING_SNAKE_CASE     :List[Any]	       =						getattr(self	,class_fields[0].name							)
             __SCREAMING_SNAKE_CASE     :int	       =						all(getattr(self	,field.name							) is None for field in class_fields[1:]							)

             if other_fields_are_none and isinstance(SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							):
                   for key, value in first_field.items():
                         __SCREAMING_SNAKE_CASE     :str	       =						value
             else:
                   for field in class_fields:
                         __SCREAMING_SNAKE_CASE     :List[str]	       =						getattr(self	,field.name							)
                         if v is not None:
                               __SCREAMING_SNAKE_CASE     :Dict	       =						v




       def __delitem__(		self	,*SCREAMING_SNAKE_CASE__	,**SCREAMING_SNAKE_CASE__							)    ->   Union[str, Any]:





             """simple docstring"""






             raise Exception(f'''You cannot use ``__delitem__`` on a {self.__class__.__name__} instance.'''							)




       def 					_UpperCamelCase  (		self	,*SCREAMING_SNAKE_CASE__	,**SCREAMING_SNAKE_CASE__							)    ->   Dict:





             """simple docstring"""






             raise Exception(f'''You cannot use ``setdefault`` on a {self.__class__.__name__} instance.'''							)




       def 					_UpperCamelCase  (		self	,*SCREAMING_SNAKE_CASE__	,**SCREAMING_SNAKE_CASE__							)    ->   Union[str, Any]:





             """simple docstring"""






             raise Exception(f'''You cannot use ``pop`` on a {self.__class__.__name__} instance.'''							)




       def 					_UpperCamelCase  (		self	,*SCREAMING_SNAKE_CASE__	,**SCREAMING_SNAKE_CASE__							)    ->   Dict:





             """simple docstring"""






             raise Exception(f'''You cannot use ``update`` on a {self.__class__.__name__} instance.'''							)




       def __getitem__(		self	,SCREAMING_SNAKE_CASE__							)    ->   Union[str, Any]:





             """simple docstring"""






             if isinstance(SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							):
                   __SCREAMING_SNAKE_CASE     :List[Any]	       =						dict(self.items()							)
                   return inner_dict[k]
             else:
                   return self.to_tuple()[k]




       def __setattr__(		self	,SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							)    ->   int:





             """simple docstring"""






             if name in self.keys() and value is not None:
                   # Don't call self.__setitem__ to avoid recursion errors
                   super().__setitem__(SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							)
             super().__setattr__(SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							)




       def __setitem__(		self	,SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							)    ->   Tuple:





             """simple docstring"""






             super().__setitem__(SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							)
             # Don't call self.__setattr__ to avoid recursion errors
             super().__setattr__(SCREAMING_SNAKE_CASE__	,SCREAMING_SNAKE_CASE__							)




       def 					_UpperCamelCase  (		self							)    ->   Tuple[Any]:





             """simple docstring"""






             return tuple(self[k] for k in self.keys()							)






"""simple docstring"""
import math
from collections.abc import Generator



def   __lowerCamelCase     (							a_  :	int							)    ->   Generator[int, None, None]:
      __SCREAMING_SNAKE_CASE     :Generator	       =						(i for i in range(1				,     (max_n + 1)							))
      for i in (n for n in numbers if n > 1):
            for j in range(2				,     a_							):
                  if (i % j) == 0:
                        break
            else:
                  yield i



def   __lowerCamelCase     (							a_  :	int							)    ->   Generator[int, None, None]:
      __SCREAMING_SNAKE_CASE     :Generator	       =						(i for i in range(1				,     (max_n + 1)							))
      for i in (n for n in numbers if n > 1):
            # only need to check for factors up to sqrt(i)
            __SCREAMING_SNAKE_CASE     :Tuple	       =						int(math.sqrt(a_							)							) + 1
            for j in range(2				,     a_							):
                  if (i % j) == 0:
                        break
            else:
                  yield i



def   __lowerCamelCase     (							a_  :	int							)    ->   Generator[int, None, None]:
      __SCREAMING_SNAKE_CASE     :Generator	       =						(i for i in range(1				,     (max_n + 1)				,     2							))
      # It's useless to test even numbers as they will not be prime
      if max_n > 2:
            yield 2  # Because 2 will not be tested, it's necessary to yield it now
      for i in (n for n in numbers if n > 1):
            __SCREAMING_SNAKE_CASE     :int	       =						int(math.sqrt(a_							)							) + 1
            for j in range(3				,     a_				,     2							):
                  # As we removed the even numbers, we don't need them now
                  if (i % j) == 0:
                        break
            else:
                  yield i



def   __lowerCamelCase     (							)    ->   Union[str, Any]:
      from timeit import timeit

      __SCREAMING_SNAKE_CASE     :Optional[Any]	       =						'''from __main__ import slow_primes, primes, fast_primes'''
      print(timeit('''slow_primes(1_000_000_000_000)'''				,     setup=a_				,     number=1_00_00_00							)							)
      print(timeit('''primes(1_000_000_000_000)'''				,     setup=a_				,     number=1_00_00_00							)							)
      print(timeit('''fast_primes(1_000_000_000_000)'''				,     setup=a_				,     number=1_00_00_00							)							)


if __name__ == "__main__":
  lowerCamelCase_          =	int(input("Calculate primes up to:\n>> ").strip())
  for ret in primes(number):
    print(ret)
  benchmark()