


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       lowerCamelCase__   (       lowerCAmelCase   ,							unittest.TestCase):
     SCREAMING_SNAKE_CASE__      			=			OpenAIGPTTokenizer
     SCREAMING_SNAKE_CASE__      			=			OpenAIGPTTokenizerFast
     SCREAMING_SNAKE_CASE__      			=			True
     SCREAMING_SNAKE_CASE__      			=			False





     def      __A					(self       )     ->   List[str]:
      super().setUp()

      # Adapted from Sennrich et al. 2015 and https://github.com/rsennrich/subword-nmt
      _lowercase							      =[
          '''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>''',
      ]
      _lowercase							      =dict(zip(UpperCAmelCase		,     range(len(UpperCAmelCase       )       )       )       )
      _lowercase							      =['''#version: 0.2''', '''l o''', '''lo w''', '''e r</w>''', '''''']

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





     def      __A					(self		,     UpperCAmelCase       )     ->   List[Any]:
      return "lower newer", "lower newer"





     def      __A					(self       )     ->   Dict:
      _lowercase							      =OpenAIGPTTokenizer(self.vocab_file		,     self.merges_file       )

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

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





     def      __A					(self		,     UpperCAmelCase=1_5       )     ->   Optional[Any]:
      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(UpperCAmelCase		,     **UpperCAmelCase       )

        # Simple input
        _lowercase							      ='''This is a simple input'''
        _lowercase							      =['''This is a simple input 1''', '''This is a simple input 2''']
        _lowercase							      =('''This is a simple input''', '''This is a pair''')
        _lowercase							      =[
            ('''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(UpperCAmelCase		,     tokenizer_r.encode		,     UpperCAmelCase		,     max_length=UpperCAmelCase		,     padding='''max_length'''       )

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

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

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

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

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





     def      __A					(self       )     ->   str:
      pass







@require_ftfy
@require_spacy
@require_tokenizers
class       lowerCamelCase__   (       lowerCAmelCase):
     pass





from __future__ import annotations

from collections.abc import Callable

UpperCAmelCase__   	=							list[list[float | int]]
def 				UpperCAmelCase_					(							__snake_case     ,						__snake_case						)     ->			Matrix:







 """simple docstring"""


 _lowercase							      =len(__snake_case						)
 _lowercase							      =[[0 for _ in range(size + 1						)] for _ in range(__snake_case						)]
 _lowercase							      =42
 _lowercase							      =42
 _lowercase							      =42
 _lowercase							      =42
 _lowercase							      =42
 _lowercase							      =42

 for row in range(__snake_case						):
  for col in range(__snake_case						):
   _lowercase							      =matrix[row][col]

  _lowercase							      =vector[row][0]

 _lowercase							      =0
 _lowercase							      =0
 while row < size and col < size:
  # pivoting
  _lowercase							      =max((abs(augmented[rowa][col]						), rowa) for rowa in range(__snake_case     ,						__snake_case						)						)[
      1
  ]
  if augmented[pivot_row][col] == 0:
   col += 1
   continue
  else:
   _lowercase      ,    _lowercase							      =augmented[pivot_row], augmented[row]

  for rowa in range(row + 1     ,						__snake_case						):
   _lowercase							      =augmented[rowa][col] / augmented[row][col]
   _lowercase							      =0
   for cola in range(col + 1     ,						size + 1						):
    augmented[rowa][cola] -= augmented[row][cola] * ratio

  row += 1
  col += 1

 # back substitution
 for col in range(1     ,						__snake_case						):
  for row in range(__snake_case						):
   _lowercase							      =augmented[row][col] / augmented[col][col]
   for cola in range(__snake_case     ,						size + 1						):
    augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
 return [
     [round(augmented[row][size] / augmented[row][row]     ,						10						)] for row in range(__snake_case						)
 ]
def 				UpperCAmelCase_					(							__snake_case						)     ->			Callable[[int], int]:







 """simple docstring"""


 _lowercase							      =len(__snake_case						)
 _lowercase							      =[[0 for _ in range(__snake_case						)] for _ in range(__snake_case						)]
 _lowercase							      =[[0] for _ in range(__snake_case						)]
 _lowercase							      =42
 _lowercase							      =42
 _lowercase							      =42
 _lowercase							      =42

 for x_val, y_val in enumerate(__snake_case						):
  for col in range(__snake_case						):
   _lowercase							      =(x_val + 1) ** (size - col - 1)
  _lowercase							      =y_val

 _lowercase							      =solve(__snake_case     ,						__snake_case						)

 def interpolated_func(__snake_case						) -> int:
  return sum(
      round(coeffs[x_val][0]						) * (var ** (size - x_val - 1))
      for x_val in range(__snake_case						)						)

 return interpolated_func
def 				UpperCAmelCase_					(							__snake_case						)     ->			int:







 """simple docstring"""


 return (
     1
     - variable
     + variable**2
     - variable**3
     + variable**4
     - variable**5
     + variable**6
     - variable**7
     + variable**8
     - variable**9
     + variable**10
 )
def 				UpperCAmelCase_					(							__snake_case = question_function     ,						__snake_case = 10						)     ->			int:







 """simple docstring"""


 _lowercase							      =[func(__snake_case						) for x_val in range(1     ,						order + 1						)]

 _lowercase							      =[
     interpolate(data_points[:max_coeff]						) for max_coeff in range(1     ,						order + 1						)
 ]

 _lowercase							      =0
 _lowercase							      =42
 _lowercase							      =42

 for poly in polynomials:
  _lowercase							      =1
  while func(__snake_case						) == poly(__snake_case						):
   x_val += 1

  ret += poly(__snake_case						)

 return ret


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

