'''simple docstring'''


import json
import os
import unittest

from transformers import OpenAIGPTTokenizer, OpenAIGPTTokenizerFast
from transformers.models.openai.tokenization_openai import VOCAB_FILES_NAMES
from transformers.testing_utils import require_ftfy, require_spacy, require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin






@require_tokenizers
class 						A   (   UpperCAmelCase       ,	unittest.TestCase   ):
							a_        =      OpenAIGPTTokenizer
							a_        =      OpenAIGPTTokenizerFast
							a_        =      True
							a_        =      False





							def       snake_case__						(      self				:							Dict	)							->	Any:
								super().setUp()

								# Adapted from Sennrich et al. 2015 and https://github.com/rsennrich/subword-nmt
								__UpperCAmelCase							=			[
								    '''l''',
								    '''o''',
								    '''w''',
								    '''e''',
								    '''r''',
								    '''s''',
								    '''t''',
								    '''i''',
								    '''d''',
								    '''n''',
								    '''w</w>''',
								    '''r</w>''',
								    '''t</w>''',
								    '''lo''',
								    '''low''',
								    '''er</w>''',
								    '''low</w>''',
								    '''lowest</w>''',
								    '''newer</w>''',
								    '''wider</w>''',
								    '''<unk>''',
								]
								__UpperCAmelCase							=			dict(zip(__a     ,		range(len(__a	)	)	)	)
								__UpperCAmelCase							=			['''#version: 0.2''', '''l o''', '''lo w''', '''e r</w>''', '''''']

								__UpperCAmelCase							=			os.path.join(self.tmpdirname     ,		VOCAB_FILES_NAMES['''vocab_file''']	)
								__UpperCAmelCase							=			os.path.join(self.tmpdirname     ,		VOCAB_FILES_NAMES['''merges_file''']	)
								with open(self.vocab_file     ,		'''w'''	) as fp:
									fp.write(json.dumps(__a	)	)
								with open(self.merges_file     ,		'''w'''	) as fp:
									fp.write('''\n'''.join(__a	)	)





							def       snake_case__						(      self				:							Optional[Any]     ,		__a				:							Optional[Any]	)							->	List[Any]:
								return "lower newer", "lower newer"





							def       snake_case__						(      self				:							Any	)							->	Optional[int]:
								__UpperCAmelCase							=			OpenAIGPTTokenizer(self.vocab_file     ,		self.merges_file	)

								__UpperCAmelCase							=			'''lower'''
								__UpperCAmelCase							=			['''low''', '''er</w>''']
								__UpperCAmelCase							=			tokenizer.tokenize(__a	)
								self.assertListEqual(__a     ,		__a	)

								__UpperCAmelCase							=			tokens + ['''<unk>''']
								__UpperCAmelCase							=			[1_4, 1_5, 2_0]
								self.assertListEqual(tokenizer.convert_tokens_to_ids(__a	)     ,		__a	)





							def       snake_case__						(      self				:							Tuple     ,		__a				:							int=1_5	)							->	str:
								for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
									with self.subTest(f"""{tokenizer.__class__.__name__} ({pretrained_name})"""	):
										__UpperCAmelCase							=			self.rust_tokenizer_class.from_pretrained(__a     ,		**__a	)

										# Simple input
										__UpperCAmelCase							=			'''This is a simple input'''
										__UpperCAmelCase							=			['''This is a simple input 1''', '''This is a simple input 2''']
										__UpperCAmelCase							=			('''This is a simple input''', '''This is a pair''')
										__UpperCAmelCase							=			[
										    ('''This is a simple input 1''', '''This is a simple input 2'''),
										    ('''This is a simple pair 1''', '''This is a simple pair 2'''),
										]

										# Simple input tests
										self.assertRaises(__a     ,		tokenizer_r.encode     ,		__a     ,		max_length=__a     ,		padding='''max_length'''	)

										# Simple input
										self.assertRaises(__a     ,		tokenizer_r.encode_plus     ,		__a     ,		max_length=__a     ,		padding='''max_length'''	)

										# Simple input
										self.assertRaises(
										    __a     ,		tokenizer_r.batch_encode_plus     ,		__a     ,		max_length=__a     ,		padding='''max_length'''     ,		)

										# Pair input
										self.assertRaises(__a     ,		tokenizer_r.encode     ,		__a     ,		max_length=__a     ,		padding='''max_length'''	)

										# Pair input
										self.assertRaises(__a     ,		tokenizer_r.encode_plus     ,		__a     ,		max_length=__a     ,		padding='''max_length'''	)

										# Pair input
										self.assertRaises(
										    __a     ,		tokenizer_r.batch_encode_plus     ,		__a     ,		max_length=__a     ,		padding='''max_length'''     ,		)






							def       snake_case__						(      self				:							Optional[int]	)							->	Optional[int]:
								pass






@require_ftfy
@require_spacy
@require_tokenizers
class 						A   (   UpperCAmelCase   ):
							pass

'''simple docstring'''


from __future__ import annotations

import math





def       lowerCAmelCase					(		UpperCamelCase__				:   float    ,					UpperCamelCase__				:   int       ):


	"""simple docstring"""
	__UpperCAmelCase							=			u
	for i in range(1    ,					UpperCamelCase__       ):
		__UpperCAmelCase							=			temp * (u - i)
	return temp





def       lowerCAmelCase					(		):


	"""simple docstring"""
	__UpperCAmelCase							=			int(input('''enter the numbers of values: '''       )       )
	__UpperCAmelCase							=			[]
	for _ in range(UpperCamelCase__       ):
		y.append([]       )
	for i in range(UpperCamelCase__       ):
		for j in range(UpperCamelCase__       ):
			y[i].append(UpperCamelCase__       )
			__UpperCAmelCase							=			0

	print('''enter the values of parameters in a list: '''       )
	__UpperCAmelCase							=			list(map(UpperCamelCase__    ,					input().split()       )       )

	print('''enter the values of corresponding parameters: '''       )
	for i in range(UpperCamelCase__       ):
		__UpperCAmelCase							=			float(input()       )

	__UpperCAmelCase							=			int(input('''enter the value to interpolate: '''       )       )
	__UpperCAmelCase							=			(value - x[0]) / (x[1] - x[0])

	# for calculating forward difference table

	for i in range(1    ,					UpperCamelCase__       ):
		for j in range(n - i       ):
			__UpperCAmelCase							=			y[j + 1][i - 1] - y[j][i - 1]

	__UpperCAmelCase							=			y[0][0]
	for i in range(1    ,					UpperCamelCase__       ):
		summ += (ucal(UpperCamelCase__    ,					UpperCamelCase__       ) * y[0][i]) / math.factorial(UpperCamelCase__       )

	print(f"""the value at {value} is {summ}"""       )


if __name__ == "__main__":
					main()
