


def 			_a  (				SCREAMING_SNAKE_CASE	:				int = 1000     ):







	"""simple docstring"""



	UpperCamelCase__					:    List[str]          =   -1
	UpperCamelCase__					:    Optional[int]          =   0
	for a in range(1    , n // 3     ):
		# Solving the two equations a**2+b**2=c**2 and a+b+c=N eliminating c
		UpperCamelCase__					:    Tuple          =   (n * n - 2 * a * n) // (2 * n - 2 * a)
		UpperCamelCase__					:    Any          =   n - a - b
		if c * c == (a * a + b * b):
			UpperCamelCase__					:    int          =   a * b * c
			if candidate >= product:
				UpperCamelCase__					:    Dict          =   candidate
	return product


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






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


__UpperCamelCase       :       Dict						       =				DUMMY_UNKNOWN_IDENTIFIER
# An actual model hosted on huggingface.co

__UpperCamelCase       :       Optional[int]						       =				"main"
# Default branch name
__UpperCamelCase       :       Optional[Any]						       =				"f2c752cfc5c0ab6f4bdec59acea69eefbee381c2"
# One particular commit (not the top of `main`)
__UpperCamelCase       :       str						       =				"aaaaaaa"
# This commit does not exist, so we should 404.

__UpperCamelCase       :       Optional[Any]						       =				"d9e9f15bc825e4b2c9249e9578f884bbcb5e3684"
# Sha-1 of config.json on the top of `main`, for checking purposes
__UpperCamelCase       :       Tuple						       =				"4b243c475af8d0a7754e87d7d096c92e5199ec2fe168a2ee7998e3b8e9bcb1d3"

@contextlib.contextmanager
def 			_a  (				):







 """simple docstring"""



 print('''Welcome!'''     )
 yield
 print('''Bye!'''     )

@contextlib.contextmanager
def 			_a  (				):







 """simple docstring"""



 print('''Bonjour!'''     )
 yield
 print('''Au revoir!'''     )

class       __magic_name__	(     unittest.TestCase):


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





      '''simple docstring'''






      assert transformers.__spec__ is not None
      assert importlib.util.find_spec('''transformers'''			) is not None



class       __magic_name__	(     unittest.TestCase):


     @unittest.mock.patch('''sys.stdout'''							,	new_callable=io.StringIO			)
     def      UpperCAmelCase__	(      self							:     Union[str, Any]							,	lowerCamelCase__							:     Union[str, Any]			)  ->      Optional[Any]:





      '''simple docstring'''






      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      UpperCAmelCase__	(      self							:     Any							,	lowerCamelCase__							:     Union[str, Any]			)  ->      Dict:





      '''simple docstring'''






      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      UpperCAmelCase__	(      self							:     List[Any]							,	lowerCamelCase__							:     List[str]			)  ->      Tuple:





      '''simple docstring'''






      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      UpperCAmelCase__	(      self							:     Tuple			)  ->      Optional[int]:





      '''simple docstring'''






      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       __magic_name__	(     __lowerCAmelCase):
           pass



      self.assertEqual(find_labels(lowerCamelCase__			)							,	['''labels''']			)


     @require_tf
     def      UpperCAmelCase__	(      self							:     Union[str, Any]			)  ->      Tuple:





      '''simple docstring'''






      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       __magic_name__	(     __lowerCAmelCase):
           pass



      self.assertEqual(find_labels(lowerCamelCase__			)							,	['''labels''']			)


     @require_flax
     def      UpperCAmelCase__	(      self							:     str			)  ->      Optional[Any]:





      '''simple docstring'''






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

      class       __magic_name__	(     __lowerCAmelCase):
           pass



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


