


"""simple docstring"""

import os
import time

import pytest

from datasets.utils.filelock import FileLock, Timeout


def lowerCAmelCase_   (					UpperCamelCase__						:			Dict			):






 """simple docstring"""







 __lowercase						=						FileLock(str(tmpdir / """foo.lock"""			)			)
 __lowercase						=						FileLock(str(tmpdir / """foo.lock"""			)			)
 __lowercase						=						0.01
 with locka.acquire():
  with pytest.raises(UpperCamelCase__			):
   __lowercase						=						time.time()
   locka.acquire(UpperCamelCase__			)
   assert time.time() - _start > timeout


def lowerCAmelCase_   (					UpperCamelCase__						:			List[Any]			):






 """simple docstring"""







 __lowercase						=						"""a""" * 1000 + """.lock"""
 __lowercase						=						FileLock(str(tmpdir / filename			)			)
 assert locka._lock_file.endswith(""".lock"""			)
 assert not locka._lock_file.endswith(UpperCamelCase__			)
 assert len(os.path.basename(locka._lock_file			)			) <= 255
 __lowercase						=						FileLock(tmpdir / filename			)
 with locka.acquire():
  with pytest.raises(UpperCamelCase__			):
   locka.acquire(0			)




"""simple docstring"""

def lowerCAmelCase_   (					UpperCamelCase__						:			Union[str, Any]					, UpperCamelCase__						:			Union[str, Any]					, UpperCamelCase__						:			int			):






 """simple docstring"""







 if n == 0:
  return 1

 elif n % 2 == 1:
  return (binary_exponentiation(UpperCamelCase__					, n - 1					, UpperCamelCase__			) * a) % mod

 else:
  __lowercase						=						binary_exponentiation(UpperCamelCase__					, n / 2					, UpperCamelCase__			)
  return (b * b) % mod


# a prime number
UpperCAmelCase__					=701

UpperCAmelCase__					=10_0000_0000
UpperCAmelCase__					=10

# using binary exponentiation function, O(log(p)):
print((a / b) % p == (a * binary_exponentiation(b, p - 2, p)) % p)

print((a / b) % p == (a * b ** (p - 2)) % p)
