



from __future__ import annotations

import math
from itertools import permutations




def       UpperCAmelCase__	(							__snake_case							)				->	bool:

  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       UpperCAmelCase__	(							__snake_case = 7							)				->	int:
  _A          =      ''''''.join(str(__snake_case							) for i in range(1  ,			n + 1							)							)
  _A          =      [int(''''''.join(__snake_case							)							) for i in permutations(__snake_case  ,			__snake_case							)]
  _A          =      [num for num in perm_list if is_prime(__snake_case							)]
  return max(__snake_case							) if pandigitals else 0


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




import importlib.metadata
import subprocess
import sys




def       UpperCAmelCase__	(							__snake_case = False							)				->	List[Any]:
  _A          =      False
  if "IPython" in sys.modules:
    _A          =      '''google.colab''' in str(sys.modules['''IPython'''].get_ipython()							)

  if in_colab:
    if upgrade:
      _A          =      ['''pip''', '''install''', '''-U''', '''torch''']
      subprocess.run(__snake_case  ,			check=__snake_case							)
    # get the current version of torch
    _A          =      importlib.metadata.version('''torch'''							)
    _A          =      torch_version[: torch_version.rindex('''.'''							)]
    _A          =      F'''https://storage.googleapis.com/tpu-pytorch/wheels/colab/torch_xla-{torch_version_trunc}-cp37-cp37m-linux_x86_64.whl'''
    _A          =      ['''pip''', '''install''', xla_wheel]
    subprocess.run(__snake_case  ,			check=__snake_case							)
  else:
    raise RuntimeError('''`install_xla` utility works only on google colab.'''							)