import shutil
import tempfile
import unittest

from transformers import SPIECE_UNDERLINE, BatchEncoding, MBartaaTokenizer, MBartaaTokenizerFast, is_torch_available
from transformers.testing_utils import (
    get_tests_dir,
    nested_simplify,
    require_sentencepiece,
    require_tokenizers,
    require_torch,
    slow,
)

from ...test_tokenization_common import TokenizerTesterMixin


__a  :     Optional[int]       =  get_tests_dir("""fixtures/test_sentencepiece.model""")

if is_torch_available():
		from transformers.models.mbart.modeling_mbart import shift_tokens_right

__a  :     Tuple       =  2_5_0_0_0_4
__a  :     List[str]       =  2_5_0_0_2_0




@require_sentencepiece
@require_tokenizers
class    _UpperCamelCase      (						_UpperCAmelCase						,unittest.TestCase ):


			"""simple docstring"""






			__a  : Dict			 =						MBartaaTokenizer
			__a  : Union[str, Any]			 =						MBartaaTokenizerFast
			__a  : Any			 =						True
			__a  : List[str]			 =						True





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Optional[int]:

							'''simple docstring'''


							super().setUp()

							# We have a SentencePiece fixture for testing
							__lowercase 			=							MBartaaTokenizer(lowerCAmelCase__      ,   src_lang='''en_XX'''      ,   tgt_lang='''ro_RO'''      ,   keep_accents=lowerCAmelCase__						)
							tokenizer.save_pretrained(self.tmpdirname						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Optional[Any]:

							'''simple docstring'''


							__lowercase 			=							'''<s>'''
							__lowercase 			=							0

							self.assertEqual(self.get_tokenizer()._convert_token_to_id(lowerCAmelCase__						)      ,   lowerCAmelCase__						)
							self.assertEqual(self.get_tokenizer()._convert_id_to_token(lowerCAmelCase__						)      ,   lowerCAmelCase__						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					str:

							'''simple docstring'''


							__lowercase 			=							list(self.get_tokenizer().get_vocab().keys()						)

							self.assertEqual(vocab_keys[0]      ,   '''<s>'''						)
							self.assertEqual(vocab_keys[1]      ,   '''<pad>'''						)
							self.assertEqual(vocab_keys[-1]      ,   '''<mask>'''						)
							self.assertEqual(len(lowerCAmelCase__						)      ,   10_54						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					List[str]:

							'''simple docstring'''


							self.assertEqual(self.get_tokenizer().vocab_size      ,   10_54						)





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

							'''simple docstring'''


							__lowercase 			=							MBartaaTokenizer(lowerCAmelCase__      ,   src_lang='''en_XX'''      ,   tgt_lang='''ro_RO'''      ,   keep_accents=lowerCAmelCase__						)

							__lowercase 			=							tokenizer.tokenize('''This is a test'''						)
							self.assertListEqual(lowerCAmelCase__      ,   ['''▁This''', '''▁is''', '''▁a''', '''▁t''', '''est''']						)

							self.assertListEqual(
							    tokenizer.convert_tokens_to_ids(lowerCAmelCase__						)      ,   [value + tokenizer.fairseq_offset for value in [2_85, 46, 10, 1_70, 3_82]]      ,   )

							__lowercase 			=							tokenizer.tokenize('''I was born in 92000, and this is falsé.'''						)
							self.assertListEqual(
							    lowerCAmelCase__      ,   [SPIECE_UNDERLINE + '''I''', SPIECE_UNDERLINE + '''was''', SPIECE_UNDERLINE + '''b''', '''or''', '''n''', SPIECE_UNDERLINE + '''in''', SPIECE_UNDERLINE + '''''', '''9''', '''2''', '''0''', '''0''', '''0''', ''',''', SPIECE_UNDERLINE + '''and''', SPIECE_UNDERLINE + '''this''', SPIECE_UNDERLINE + '''is''', SPIECE_UNDERLINE + '''f''', '''al''', '''s''', '''é''', '''.''']      ,   )
							__lowercase 			=							tokenizer.convert_tokens_to_ids(lowerCAmelCase__						)
							self.assertListEqual(
							    lowerCAmelCase__      ,   [
							        value + tokenizer.fairseq_offset
							        for value in [8, 21, 84, 55, 24, 19, 7, 2, 6_02, 3_47, 3_47, 3_47, 3, 12, 66, 46, 72, 80, 6, 2, 4]
							    ]      ,   )

							__lowercase 			=							tokenizer.convert_ids_to_tokens(lowerCAmelCase__						)
							self.assertListEqual(
							    lowerCAmelCase__      ,   [SPIECE_UNDERLINE + '''I''', SPIECE_UNDERLINE + '''was''', SPIECE_UNDERLINE + '''b''', '''or''', '''n''', SPIECE_UNDERLINE + '''in''', SPIECE_UNDERLINE + '''''', '''<unk>''', '''2''', '''0''', '''0''', '''0''', ''',''', SPIECE_UNDERLINE + '''and''', SPIECE_UNDERLINE + '''this''', SPIECE_UNDERLINE + '''is''', SPIECE_UNDERLINE + '''f''', '''al''', '''s''', '''<unk>''', '''.''']      ,   )





			@slow
			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					List[str]:

							'''simple docstring'''


							__lowercase 			=							{'''input_ids''': [[25_00_04, 1_10_62, 8_27_72, 7, 15, 8_27_72, 5_38, 5_15_29, 2_37, 1_71_98, 12_90, 2_06, 9, 21_51_75, 13_14, 1_36, 1_71_98, 12_90, 2_06, 9, 5_63_59, 42, 12_20_09, 9, 1_64_66, 16, 8_73_44, 45_37, 9, 47_17, 7_83_81, 6, 15_99_58, 7, 15, 2_44_80, 6_18, 4, 5_27, 2_26_93, 54_28, 4, 27_77, 2_44_80, 98_74, 4, 4_35_23, 5_94, 4, 8_03, 1_83_92, 3_31_89, 18, 4, 4_35_23, 2_44_47, 1_23_99, 1_00, 2_49_55, 8_36_58, 96_26, 14_40_57, 15, 8_39, 2_23_35, 16, 1_36, 2_49_55, 8_36_58, 8_34_79, 15, 3_91_02, 7_24, 16, 6_78, 6_45, 27_89, 13_28, 45_89, 42, 12_20_09, 11_57_74, 23, 8_05, 13_28, 4_68_76, 7, 1_36, 5_38_94, 19_40, 4_22_27, 4_11_59, 1_77_21, 8_23, 4_25, 4, 2_75_12, 9_87_22, 2_06, 1_36, 55_31, 49_70, 9_19, 1_73_36, 5, 2], [25_00_04, 2_00_80, 6_18, 83, 8_27_75, 47, 4_79, 9, 15_17, 73, 5_38_94, 3_33, 8_05_81, 11_01_17, 1_88_11, 52_56, 12_95, 51, 15_25_26, 2_97, 79_86, 3_90, 12_44_16, 5_38, 3_54_31, 2_14, 98, 1_50_44, 2_57_37, 1_36, 71_08, 4_37_01, 23, 7_56, 13_53_55, 7, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [25_00_04, 5_81, 6_37_73, 11_94_55, 6, 14_77_97, 8_82_03, 7, 6_45, 70, 21, 32_85, 1_02_69, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], '''attention_mask''': [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}  # noqa: E501
							# fmt: on

							self.tokenizer_integration_test_util(
							    expected_encoding=lowerCAmelCase__      ,   model_name='''facebook/mbart-large-50'''      ,   revision='''d3913889c59cd5c9e456b269c376325eabad57e2'''      ,   )





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Tuple:

							'''simple docstring'''


							if not self.test_slow_tokenizer:
											# as we don't have a slow version, we can't compare the outputs between slow and fast versions
											return

							__lowercase 			=							(self.rust_tokenizer_class, '''hf-internal-testing/tiny-random-mbart50''', {})
							for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
											with self.subTest(F"{tokenizer.__class__.__name__} ({pretrained_name})"						):
															__lowercase 			=							self.rust_tokenizer_class.from_pretrained(lowerCAmelCase__      ,   **lowerCAmelCase__						)
															__lowercase 			=							self.tokenizer_class.from_pretrained(lowerCAmelCase__      ,   **lowerCAmelCase__						)

															__lowercase 			=							tempfile.mkdtemp()

															__lowercase 			=							tokenizer_r.save_pretrained(lowerCAmelCase__						)
															__lowercase 			=							tokenizer_p.save_pretrained(lowerCAmelCase__						)

															# Checks it save with the same files + the tokenizer.json file for the fast one
															self.assertTrue(any('''tokenizer.json''' in f for f in tokenizer_r_files						)						)
															__lowercase 			=							tuple(f for f in tokenizer_r_files if '''tokenizer.json''' not in f						)
															self.assertSequenceEqual(lowerCAmelCase__      ,   lowerCAmelCase__						)

															# Checks everything loads correctly in the same way
															__lowercase 			=							tokenizer_r.from_pretrained(lowerCAmelCase__						)
															__lowercase 			=							tokenizer_p.from_pretrained(lowerCAmelCase__						)

															# Check special tokens are set accordingly on Rust and Python
															for key in tokenizer_pp.special_tokens_map:
																			self.assertTrue(hasattr(lowerCAmelCase__      ,   lowerCAmelCase__						)						)
																			# self.assertEqual(getattr(tokenizer_rp, key), getattr(tokenizer_pp, key))
																			# self.assertEqual(getattr(tokenizer_rp, key + "_id"), getattr(tokenizer_pp, key + "_id"))

															shutil.rmtree(lowerCAmelCase__						)

															# Save tokenizer rust, legacy_format=True
															__lowercase 			=							tempfile.mkdtemp()

															__lowercase 			=							tokenizer_r.save_pretrained(lowerCAmelCase__      ,   legacy_format=lowerCAmelCase__						)
															__lowercase 			=							tokenizer_p.save_pretrained(lowerCAmelCase__						)

															# Checks it save with the same files
															self.assertSequenceEqual(lowerCAmelCase__      ,   lowerCAmelCase__						)

															# Checks everything loads correctly in the same way
															__lowercase 			=							tokenizer_r.from_pretrained(lowerCAmelCase__						)
															__lowercase 			=							tokenizer_p.from_pretrained(lowerCAmelCase__						)

															# Check special tokens are set accordingly on Rust and Python
															for key in tokenizer_pp.special_tokens_map:
																			self.assertTrue(hasattr(lowerCAmelCase__      ,   lowerCAmelCase__						)						)

															shutil.rmtree(lowerCAmelCase__						)

															# Save tokenizer rust, legacy_format=False
															__lowercase 			=							tempfile.mkdtemp()

															__lowercase 			=							tokenizer_r.save_pretrained(lowerCAmelCase__      ,   legacy_format=lowerCAmelCase__						)
															__lowercase 			=							tokenizer_p.save_pretrained(lowerCAmelCase__						)

															# Checks it saved the tokenizer.json file
															self.assertTrue(any('''tokenizer.json''' in f for f in tokenizer_r_files						)						)

															# Checks everything loads correctly in the same way
															__lowercase 			=							tokenizer_r.from_pretrained(lowerCAmelCase__						)
															__lowercase 			=							tokenizer_p.from_pretrained(lowerCAmelCase__						)

															# Check special tokens are set accordingly on Rust and Python
															for key in tokenizer_pp.special_tokens_map:
																			self.assertTrue(hasattr(lowerCAmelCase__      ,   lowerCAmelCase__						)						)

															shutil.rmtree(lowerCAmelCase__						)




@require_torch
@require_sentencepiece
@require_tokenizers
class    _UpperCamelCase      (						unittest.TestCase ):


			"""simple docstring"""






			__a  : List[Any]			 =						'''facebook/mbart-large-50-one-to-many-mmt'''
			__a  : Dict			 =						[
			    ''' UN Chief Says There Is No Military Solution in Syria''',
			    ''' Secretary-General Ban Ki-moon says his response to Russia\'s stepped up military support for Syria is that "there is no military solution" to the nearly five-year conflict and more weapons will only worsen the violence and misery for millions of people.''',
			]
			__a  : List[Any]			 =						[
			    '''Şeful ONU declară că nu există o soluţie militară în Siria''',
			    '''Secretarul General Ban Ki-moon declară că răspunsul său la intensificarea sprijinului militar al Rusiei'''
			    ''' pentru Siria este că "nu există o soluţie militară" la conflictul de aproape cinci ani şi că noi arme nu vor'''
			    ''' face decât să înrăutăţească violenţele şi mizeria pentru milioane de oameni.''',
			]
			__a  : List[Any]			 =						[EN_CODE, 8274, 127873, 25916, 7, 8622, 2071, 438, 67485, 53, 187895, 23, 51712, 2]





			@classmethod
			def        _SCREAMING_SNAKE_CASE			(   cls						)     ->					Optional[Any]:

							'''simple docstring'''


							__lowercase 			=							MBartaaTokenizer.from_pretrained(
							    cls.checkpoint_name      ,   src_lang='''en_XX'''      ,   tgt_lang='''ro_RO'''						)
							__lowercase 			=							1
							return cls





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					List[Any]:

							'''simple docstring'''


							self.assertEqual(self.tokenizer.fairseq_tokens_to_ids['''ar_AR''']      ,   25_00_01						)
							self.assertEqual(self.tokenizer.fairseq_tokens_to_ids['''en_EN''']      ,   25_00_04						)
							self.assertEqual(self.tokenizer.fairseq_tokens_to_ids['''ro_RO''']      ,   25_00_20						)
							self.assertEqual(self.tokenizer.fairseq_tokens_to_ids['''mr_IN''']      ,   25_00_38						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Dict:

							'''simple docstring'''


							__lowercase 			=							self.tokenizer.batch_encode_plus(self.src_text						).input_ids[0]
							self.assertListEqual(self.expected_src_tokens      ,   lowerCAmelCase__						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					str:

							'''simple docstring'''


							self.assertIn(lowerCAmelCase__      ,   self.tokenizer.all_special_ids						)
							__lowercase 			=							[RO_CODE, 8_84, 90_19, 96, 9, 9_16, 8_67_92, 36, 1_87_43, 1_55_96, 5, 2]
							__lowercase 			=							self.tokenizer.decode(lowerCAmelCase__      ,   skip_special_tokens=lowerCAmelCase__						)
							__lowercase 			=							self.tokenizer.decode(generated_ids[1:]      ,   skip_special_tokens=lowerCAmelCase__						)
							self.assertEqual(lowerCAmelCase__      ,   lowerCAmelCase__						)
							self.assertNotIn(self.tokenizer.eos_token      ,   lowerCAmelCase__						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Tuple:

							'''simple docstring'''


							__lowercase 			=							['''this is gunna be a long sentence ''' * 20]
							assert isinstance(src_text[0]      ,   lowerCAmelCase__						)
							__lowercase 			=							10
							__lowercase 			=							self.tokenizer(lowerCAmelCase__      ,   max_length=lowerCAmelCase__      ,   truncation=lowerCAmelCase__						).input_ids[0]
							self.assertEqual(ids[0]      ,   lowerCAmelCase__						)
							self.assertEqual(ids[-1]      ,   2						)
							self.assertEqual(len(lowerCAmelCase__						)      ,   lowerCAmelCase__						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Optional[Any]:

							'''simple docstring'''


							self.assertListEqual(self.tokenizer.convert_tokens_to_ids(['''<mask>''', '''ar_AR''']						)      ,   [25_00_53, 25_00_01]						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					List[Any]:

							'''simple docstring'''


							__lowercase 			=							tempfile.mkdtemp()
							__lowercase 			=							self.tokenizer.fairseq_tokens_to_ids
							self.tokenizer.save_pretrained(lowerCAmelCase__						)
							__lowercase 			=							MBartaaTokenizer.from_pretrained(lowerCAmelCase__						)
							self.assertDictEqual(new_tok.fairseq_tokens_to_ids      ,   lowerCAmelCase__						)





			@require_torch
			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					List[str]:

							'''simple docstring'''


							__lowercase 			=							self.tokenizer(self.src_text      ,   text_target=self.tgt_text      ,   padding=lowerCAmelCase__      ,   return_tensors='''pt'''						)
							__lowercase 			=							shift_tokens_right(batch['''labels''']      ,   self.tokenizer.pad_token_id						)

							# fairseq batch: https://gist.github.com/sshleifer/cba08bc2109361a74ac3760a7e30e4f4
							assert batch.input_ids[1][0] == EN_CODE
							assert batch.input_ids[1][-1] == 2
							assert batch.labels[1][0] == RO_CODE
							assert batch.labels[1][-1] == 2
							assert batch.decoder_input_ids[1][:2].tolist() == [2, RO_CODE]





			@require_torch
			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Dict:

							'''simple docstring'''


							__lowercase 			=							self.tokenizer(
							    self.src_text      ,   text_target=self.tgt_text      ,   padding=lowerCAmelCase__      ,   truncation=lowerCAmelCase__      ,   max_length=len(self.expected_src_tokens						)      ,   return_tensors='''pt'''      ,   )
							__lowercase 			=							shift_tokens_right(batch['''labels''']      ,   self.tokenizer.pad_token_id						)

							self.assertIsInstance(lowerCAmelCase__      ,   lowerCAmelCase__						)

							self.assertEqual((2, 14)      ,   batch.input_ids.shape						)
							self.assertEqual((2, 14)      ,   batch.attention_mask.shape						)
							__lowercase 			=							batch.input_ids.tolist()[0]
							self.assertListEqual(self.expected_src_tokens      ,   lowerCAmelCase__						)
							self.assertEqual(2      ,   batch.decoder_input_ids[0, 0]						)  # decoder_start_token_id
							# Test that special tokens are reset
							self.assertEqual(self.tokenizer.prefix_tokens      ,   [EN_CODE]						)
							self.assertEqual(self.tokenizer.suffix_tokens      ,   [self.tokenizer.eos_token_id]						)





			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					List[str]:

							'''simple docstring'''


							__lowercase 			=							self.tokenizer(self.src_text      ,   padding=lowerCAmelCase__      ,   truncation=lowerCAmelCase__      ,   max_length=3      ,   return_tensors='''pt'''						)
							__lowercase 			=							self.tokenizer(
							    text_target=self.tgt_text      ,   padding=lowerCAmelCase__      ,   truncation=lowerCAmelCase__      ,   max_length=10      ,   return_tensors='''pt'''						)
							__lowercase 			=							targets['''input_ids''']
							__lowercase 			=							shift_tokens_right(lowerCAmelCase__      ,   self.tokenizer.pad_token_id						)

							self.assertEqual(batch.input_ids.shape[1]      ,   3						)
							self.assertEqual(batch.decoder_input_ids.shape[1]      ,   10						)





			@require_torch
			def        _SCREAMING_SNAKE_CASE			(   self						)     ->					Optional[int]:

							'''simple docstring'''


							__lowercase 			=							self.tokenizer._build_translation_inputs(
							    '''A test'''      ,   return_tensors='''pt'''      ,   src_lang='''en_XX'''      ,   tgt_lang='''ar_AR'''						)

							self.assertEqual(
							    nested_simplify(lowerCAmelCase__						)      ,   {
							        # en_XX, A, test, EOS
							        '''input_ids''': [[25_00_04, 62, 30_34, 2]],
							        '''attention_mask''': [[1, 1, 1, 1]],
							        # ar_AR
							        '''forced_bos_token_id''': 25_00_01,
							    }      ,   )
from decimal import Decimal, getcontext
from math import ceil, factorial





def 				UpperCAmelCase						(    lowercase							):







				"""simple docstring"""



				if not isinstance(lowercase							,			lowercase							):
								raise TypeError('''Undefined for non-integers'''							)
				elif precision < 1:
								raise ValueError('''Undefined for non-natural numbers'''							)

				__lowercase 			=							precision
				__lowercase 			=							ceil(precision / 14							)
				__lowercase 			=							426880 * Decimal(10005							).sqrt()
				__lowercase 			=							1
				__lowercase 			=							13591409
				__lowercase 			=							Decimal(lowercase							)
				for k in range(1							,			lowercase							):
								__lowercase 			=							factorial(6 * k							) // (factorial(3 * k							) * factorial(lowercase							) ** 3)
								linear_term += 545140134
								exponential_term *= -262537412640768000
								partial_sum += Decimal(multinomial_term * linear_term							) / exponential_term
				return str(constant_term / partial_sum							)[:-1]


if __name__ == "__main__":
		__a  :     Optional[Any]       =  5_0
		print(F'''The first {n} digits of pi is: {pi(n)}''')