from functools import lru_cache

def 		UpperCamelCase      (lowercase_:				Dict      )  ->   Tuple:
	A__							:					Union[str, Any]       =	2
	A__							:					Union[str, Any]       =	set()
	while i * i <= n:
		if n % i:
			i += 1
		else:
			n //= i
			factors.add(lowercase_      )
	if n > 1:
		factors.add(lowercase_      )
	return factors

@lru_cache
def 		UpperCamelCase      (lowercase_:				Tuple      )  ->   List[Any]:
	return len(unique_prime_factors(lowercase_      )      )

def 		UpperCamelCase      (lowercase_:				Union[str, Any]      )  ->   Optional[Any]:
	return len(set(lowercase_      )      ) in (0, 1)

def 		UpperCamelCase      (lowercase_:				int      )  ->   int:
	A__							:					Dict       =	2

	while True:
		# Increment each value of a generated range
		A__							:					List[Any]       =	[base + i for i in range(lowercase_      )]

		# Run elements through out unique_prime_factors function
		# Append our target number to the end.
		A__							:					int       =	[upf_len(lowercase_      ) for x in group]
		checker.append(lowercase_      )

		# If all numbers in the list are equal, return the group variable.
		if equality(lowercase_      ):
			return group

		# Increment our base variable by 1
		base += 1

def 		UpperCamelCase      (lowercase_:				Optional[Any] = 4      )  ->   Optional[Any]:
	A__							:					Dict       =	run(lowercase_      )
	return results[0] if len(lowercase_      ) else None


if __name__ == "__main__":
	print(solution())






# tests directory-specific settings - this file is run automatically
# by pytest before any tests are run

import doctest
import sys
import warnings
from os.path import abspath, dirname, join

import _pytest

from transformers.testing_utils import HfDoctestModule, HfDocTestParser


# allow having multiple repository checkouts and not needing to remember to rerun
# 'pip install -e .[dev]' when switching between checkouts and running tests.
A_ :				Optional[int]						 =    abspath(join(dirname(__file__), 'src'))
sys.path.insert(1, git_repo_path)

# silence FutureWarning warnings in tests since often we can't act on them until
# they become normal warnings - i.e. the tests still need to test the current functionality
warnings.simplefilter(action='ignore', category=FutureWarning)

def 		UpperCamelCase      (lowercase_:				List[str]      )  ->   Any:
	config.addinivalue_line(
	    """markers"""					,   """is_pt_tf_cross_test: mark test to run only when PT and TF interactions are tested"""      )
	config.addinivalue_line(
	    """markers"""					,   """is_pt_flax_cross_test: mark test to run only when PT and FLAX interactions are tested"""      )
	config.addinivalue_line("""markers"""					,   """is_pipeline_test: mark test to run only when pipelines are tested"""      )
	config.addinivalue_line("""markers"""					,   """is_staging_test: mark test to run only in the staging environment"""      )
	config.addinivalue_line("""markers"""					,   """accelerate_tests: mark test that require accelerate"""      )
	config.addinivalue_line("""markers"""					,   """tool_tests: mark the tool tests that are run on their specific schedule"""      )

def 		UpperCamelCase      (lowercase_:				Optional[int]      )  ->   Optional[Any]:
	from transformers.testing_utils import pytest_addoption_shared

	pytest_addoption_shared(lowercase_      )

def 		UpperCamelCase      (lowercase_:				List[str]      )  ->   Optional[Any]:
	from transformers.testing_utils import pytest_terminal_summary_main

	A__							:					List[Any]       =	terminalreporter.config.getoption("""--make-reports"""      )
	if make_reports:
		pytest_terminal_summary_main(lowercase_					,   id=lowercase_      )

def 		UpperCamelCase      (lowercase_:				Union[str, Any]					,   lowercase_:				int      )  ->   List[str]:
	# If no tests are collected, pytest exists with code 5, which makes the CI fail.
	if exitstatus == 5:
		A__							:					Tuple       =	0


# Doctest custom flag to ignore output.
A_ :				Tuple						 =    doctest.register_optionflag('IGNORE_RESULT')

A_ :				Dict						 =    doctest.OutputChecker



class 					_a		(__magic_name__       ):


					'''simple docstring'''






					def 						__A    (				self					, A__					, A__					, A__    ):
						if IGNORE_RESULT & optionflags:
							return True
						return OutputChecker.check_output(self					, A__					, A__					, A__    )



A_ :				str						 =    CustomOutputChecker
A_ :				Dict						 =    HfDoctestModule


A_ :				Optional[int]						 =    HfDocTestParser



