
"""simple docstring"""





import contextlib
import importlib
import io
import unittest

import transformers

# Try to import everything from transformers to ensure every object can be loaded.
from transformers import *  # noqa F406
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER, require_flax, require_tf, require_torch
from transformers.utils import ContextManagers, find_labels, is_flax_available, is_tf_available, is_torch_available


if is_torch_available():
							from transformers import BertForPreTraining, BertForQuestionAnswering, BertForSequenceClassification

if is_tf_available():
							from transformers import TFBertForPreTraining, TFBertForQuestionAnswering, TFBertForSequenceClassification

if is_flax_available():
							from transformers import FlaxBertForPreTraining, FlaxBertForQuestionAnswering, FlaxBertForSequenceClassification


__magic_name__       =			DUMMY_UNKNOWN_IDENTIFIER
# An actual model hosted on huggingface.co

__magic_name__       =			"main"
# Default branch name
__magic_name__       =			"f2c752cfc5c0ab6f4bdec59acea69eefbee381c2"
# One particular commit (not the top of `main`)
__magic_name__       =			"aaaaaaa"
# This commit does not exist, so we should 404.

__magic_name__       =			"d9e9f15bc825e4b2c9249e9578f884bbcb5e3684"
# Sha-1 of config.json on the top of `main`, for checking purposes
__magic_name__       =			"4b243c475af8d0a7754e87d7d096c92e5199ec2fe168a2ee7998e3b8e9bcb1d3"



@contextlib.contextmanager
def 						_lowerCAmelCase				(				):
		print("""Welcome!"""				)
		yield
		print("""Bye!"""				)



@contextlib.contextmanager
def 						_lowerCAmelCase				(				):
		print("""Bonjour!"""				)
		yield
		print("""Au revoir!"""				)
class 						SCREAMING_SNAKE_CASE_ (						unittest.TestCase ):




		"""simple docstring"""





		def 	snake_case_     (     self):
				# If the spec is missing, importlib would not be able to import the module dynamically.
				assert transformers.__spec__ is not None
				assert importlib.util.find_spec("""transformers""") is not None



class 						SCREAMING_SNAKE_CASE_ (						unittest.TestCase ):




		"""simple docstring"""





		@unittest.mock.patch("""sys.stdout"""							,  new_callable=io.StringIO)
		def 	snake_case_     (     self							,  lowerCAmelCase__):
				with ContextManagers([]):
						print("""Transformers are awesome!""")
				# The print statement adds a new line at the end of the output
				self.assertEqual(mock_stdout.getvalue()							,  """Transformers are awesome!\n""")




		@unittest.mock.patch("""sys.stdout"""							,  new_callable=io.StringIO)
		def 	snake_case_     (     self							,  lowerCAmelCase__):
				with ContextManagers([context_en()]):
						print("""Transformers are awesome!""")
				# The output should be wrapped with an English welcome and goodbye
				self.assertEqual(mock_stdout.getvalue()							,  """Welcome!\nTransformers are awesome!\nBye!\n""")




		@unittest.mock.patch("""sys.stdout"""							,  new_callable=io.StringIO)
		def 	snake_case_     (     self							,  lowerCAmelCase__):
				with ContextManagers([context_fr(), context_en()]):
						print("""Transformers are awesome!""")
				# The output should be wrapped with an English and French welcome and goodbye
				self.assertEqual(mock_stdout.getvalue()							,  """Bonjour!\nWelcome!\nTransformers are awesome!\nBye!\nAu revoir!\n""")




		@require_torch
		def 	snake_case_     (     self):
				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""labels"""])
				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""labels""", """next_sentence_label"""])
				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""start_positions""", """end_positions"""])
				class 						SCREAMING_SNAKE_CASE_ (						__a ):




						"""simple docstring"""





						pass



				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""labels"""])




		@require_tf
		def 	snake_case_     (     self):
				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""labels"""])
				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""labels""", """next_sentence_label"""])
				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""start_positions""", """end_positions"""])
				class 						SCREAMING_SNAKE_CASE_ (						__a ):




						"""simple docstring"""





						pass



				self.assertEqual(find_labels(lowerCAmelCase__)							,  ["""labels"""])




		@require_flax
		def 	snake_case_     (     self):
				# Flax models don't have labels
				self.assertEqual(find_labels(lowerCAmelCase__)							,  [])
				self.assertEqual(find_labels(lowerCAmelCase__)							,  [])
				self.assertEqual(find_labels(lowerCAmelCase__)							,  [])
				class 						SCREAMING_SNAKE_CASE_ (						__a ):




						"""simple docstring"""





						pass



				self.assertEqual(find_labels(lowerCAmelCase__)							,  [])






"""simple docstring"""





from __future__ import annotations

from fractions import Fraction



def 						_lowerCAmelCase				(				UpperCamelCase_  ,				UpperCamelCase_				):
		return (
		    num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
		)



def 						_lowerCAmelCase				(				UpperCamelCase_				):
		__SCREAMING_SNAKE_CASE            = []
		__SCREAMING_SNAKE_CASE            = 11
		__SCREAMING_SNAKE_CASE            = int("""1""" + """0""" * digit_len				)
		for num in range(UpperCamelCase_  ,				UpperCamelCase_				):
				while den <= 99:
						if (num != den) and (num % 10 == den // 10) and (den % 10 != 0):
								if is_digit_cancelling(UpperCamelCase_  ,				UpperCamelCase_				):
										solutions.append(f"{num}/{den}"				)
						den += 1
				num += 1
				__SCREAMING_SNAKE_CASE            = 10
		return solutions



def 						_lowerCAmelCase				(				UpperCamelCase_ = 2				):
		__SCREAMING_SNAKE_CASE            = 1.0
		for fraction in fraction_list(UpperCamelCase_				):
				__SCREAMING_SNAKE_CASE            = Fraction(UpperCamelCase_				)
				result *= frac.denominator / frac.numerator
		return int(UpperCamelCase_				)


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




