


'''simple docstring'''



def      UpperCAmelCase__   (      UpperCAmelCase_       :							Union[str, Any]				)	->						Tuple:
     __lowerCamelCase  :      str														=						current_set.copy()
     for row_index, row in enumerate(__lowercase				):
          __lowerCamelCase  :      Any														=						row[0]
          for column_index, column in enumerate(__lowercase				):
               if magnitude == 0:
                    __lowerCamelCase  :      int														=						column
                    continue
               __lowerCamelCase  :      Optional[int]														=						column / magnitude
                # Subtract to cancel term
     __lowerCamelCase  :      Optional[int]														=						current_set[0]
     __lowerCamelCase  :      List[Any]														=						[first_row]
     __lowerCamelCase  :      Union[str, Any]														=						current_set[1::]
     for row in current_set:
          __lowerCamelCase  :      Optional[int]														=						[]
          # If first term is 0, it is already in form we want, so we preserve it
          if row[0] == 0:
               final_set.append(__lowercase				)
               continue
          for column_index in range(len(__lowercase				)				):
               temp_row.append(first_row[column_index] - row[column_index]				)
          final_set.append(__lowercase				)
     # Create next recursion iteration set
     if len(final_set[0]				) != 3:
          __lowerCamelCase  :      Dict														=						final_set[0]
          __lowerCamelCase  :      Optional[Any]														=						[]
          __lowerCamelCase  :      Dict														=						[]
          for row in final_set[1::]:
               current_first_column.append(row[0]				)
               next_iteration.append(row[1::]				)
          __lowerCamelCase  :      Optional[int]														=						simplify(__lowercase				)
          for i in range(len(__lowercase				)				):
               resultant[i].insert(0 ,       current_first_column[i]				)
          resultant.insert(0 ,       __lowercase				)
          __lowerCamelCase  :      Any														=						resultant
     return final_set



def      UpperCAmelCase__   (      UpperCAmelCase_       :							int				)	->						List[str]:
     if len(__lowercase				) == 0:
          raise IndexError('solve_simultaneous() requires n lists of length n+1'				)
     __lowerCamelCase  :      Union[str, Any]														=						len(__lowercase				) + 1
     if any(len(__lowercase				) != _length for item in equations				):
          raise IndexError('solve_simultaneous() requires n lists of length n+1'				)
     for row in equations:
          if any(not isinstance(__lowercase ,       (int, float)				) for column in row				):
               raise ValueError('solve_simultaneous() requires lists of integers'				)
     if len(__lowercase				) == 1:
          return [equations[0][-1] / equations[0][0]]
     __lowerCamelCase  :      Optional[Any]														=						equations.copy()
     if any(0 in row for row in data_set				):
          __lowerCamelCase  :      int														=						data_set.copy()
          __lowerCamelCase  :      List[Any]														=						[]
          for row_index, row in enumerate(__lowercase				):
               if 0 not in row:
                    __lowerCamelCase  :      Tuple														=						data_set.pop(__lowercase				)
                    break
          if not full_row:
               raise ValueError('solve_simultaneous() requires at least 1 full equation'				)
          data_set.insert(0 ,       __lowercase				)
     __lowerCamelCase  :      List[str]														=						data_set.copy()
     __lowerCamelCase  :      Tuple														=						simplify(__lowercase				)
     __lowerCamelCase  :      List[str]														=						simplified[::-1]
     __lowerCamelCase  :      list														=						[]
     for row in simplified:
          __lowerCamelCase  :      str														=						row[-1]
          if not solutions:
               if row[-2] == 0:
                    solutions.append(0				)
                    continue
               solutions.append(current_solution / row[-2]				)
               continue
          __lowerCamelCase  :      str														=						row.copy()[: len(__lowercase				) - 1 :]
          while temp_row[0] == 0:
               temp_row.pop(0				)
          if len(__lowercase				) == 0:
               solutions.append(0				)
               continue
          __lowerCamelCase  :      List[Any]														=						temp_row[1::]
          __lowerCamelCase  :      Tuple														=						temp_row[::-1]
          for column_index, column in enumerate(__lowercase				):
               current_solution -= column * solutions[column_index]
          solutions.append(__lowercase				)
     __lowerCamelCase  :      str														=						[]
     for item in solutions:
          final.append(float(round(__lowercase ,       5				)				)				)
     return final[::-1]


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      A__						:   List[Any]				=    [
          [2, 1, 1, 1, 1, 4],
          [1, 2, 1, 1, 1, 5],
          [1, 1, 2, 1, 1, 6],
          [1, 1, 1, 2, 1, 7],
          [1, 1, 1, 1, 2, 8],
      ]
      print(solve_simultaneous(eq))
      print(solve_simultaneous([[4, 2]]))








"""simple docstring"""






import copy
import tempfile
import unittest

from huggingface_hub import HfFolder, delete_repo
from parameterized import parameterized
from requests.exceptions import HTTPError

from transformers import AutoConfig, GenerationConfig
from transformers.testing_utils import TOKEN, USER, is_staging_test





class 				a__					(						unittest.TestCase       ):



     @parameterized.expand([(None,), ('foo.json',)]   )
     def  lowerCamelCase_						(							self :Union[str, Any]      ,  _lowerCamelCase :Any   ):







      '''simple docstring'''



      UpperCamelCase_     :					str   	=GenerationConfig(
          do_sample=_lowerCamelCase      ,  temperature=0.7      ,  length_penalty=1.0      ,  bad_words_ids=[[1, 2, 3], [4, 5]]      ,  )
      with tempfile.TemporaryDirectory() as tmp_dir:
       config.save_pretrained(_lowerCamelCase      ,  config_name=_lowerCamelCase   )
       UpperCamelCase_     :					Union[str, Any]   	=GenerationConfig.from_pretrained(_lowerCamelCase      ,  config_name=_lowerCamelCase   )

      # Checks parameters that were specified
      self.assertEqual(loaded_config.do_sample      ,  _lowerCamelCase   )
      self.assertEqual(loaded_config.temperature      ,  0.7   )
      self.assertEqual(loaded_config.length_penalty      ,  1.0   )
      self.assertEqual(loaded_config.bad_words_ids      ,  [[1, 2, 3], [4, 5]]   )

      # Checks parameters that were not specified (defaults)
      self.assertEqual(loaded_config.top_k      ,  50   )
      self.assertEqual(loaded_config.max_length      ,  20   )
      self.assertEqual(loaded_config.max_time      ,  _lowerCamelCase   )



     def  lowerCamelCase_						(							self :Optional[Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					Optional[int]   	=AutoConfig.from_pretrained('gpt2'   )
      UpperCamelCase_     :					Tuple   	=GenerationConfig.from_model_config(_lowerCamelCase   )
      UpperCamelCase_     :					Optional[int]   	=GenerationConfig()

      # The generation config has loaded a few non-default parameters from the model config
      self.assertNotEqual(_lowerCamelCase      ,  _lowerCamelCase   )

      # One of those parameters is eos_token_id -- check if it matches
      self.assertNotEqual(generation_config_from_model.eos_token_id      ,  default_generation_config.eos_token_id   )
      self.assertEqual(generation_config_from_model.eos_token_id      ,  model_config.eos_token_id   )



     def  lowerCamelCase_						(							self :Tuple   ):







      '''simple docstring'''



      UpperCamelCase_     :					str   	=GenerationConfig()
      UpperCamelCase_     :					Optional[Any]   	={
          'max_new_tokens': 1_024,
          'foo': 'bar',
      }
      UpperCamelCase_     :					Optional[Any]   	=copy.deepcopy(_lowerCamelCase   )
      UpperCamelCase_     :					Optional[int]   	=generation_config.update(**_lowerCamelCase   )

      # update_kwargs was not modified (no side effects)
      self.assertEqual(_lowerCamelCase      ,  _lowerCamelCase   )

      # update_kwargs was used to update the config on valid attributes
      self.assertEqual(generation_config.max_new_tokens      ,  1_024   )

      # `.update()` returns a dictionary of unused kwargs
      self.assertEqual(_lowerCamelCase      ,  {'foo': 'bar'}   )



     def  lowerCamelCase_						(							self :Union[str, Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					Union[str, Any]   	=GenerationConfig()
      UpperCamelCase_     :					Union[str, Any]   	='bar'

      with tempfile.TemporaryDirectory('test-generation-config'   ) as tmp_dir:
       generation_config.save_pretrained(_lowerCamelCase   )

       UpperCamelCase_     :					Dict   	=GenerationConfig.from_pretrained(_lowerCamelCase   )
      # update_kwargs was used to update the config on valid attributes
      self.assertEqual(new_config.foo      ,  'bar'   )

      UpperCamelCase_     :					List[str]   	=GenerationConfig.from_model_config(_lowerCamelCase   )
      assert not hasattr(_lowerCamelCase      ,  'foo'   )  # no new kwargs should be initialized if from config




     def  lowerCamelCase_						(							self :Optional[Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					List[str]   	=GenerationConfig()
      self.assertEqual(default_config.temperature      ,  1.0   )
      self.assertEqual(default_config.do_sample      ,  _lowerCamelCase   )
      self.assertEqual(default_config.num_beams      ,  1   )

      UpperCamelCase_     :					Tuple   	=GenerationConfig(
          do_sample=_lowerCamelCase      ,  temperature=0.7      ,  length_penalty=1.0      ,  bad_words_ids=[[1, 2, 3], [4, 5]]      ,  )
      self.assertEqual(config.temperature      ,  0.7   )
      self.assertEqual(config.do_sample      ,  _lowerCamelCase   )
      self.assertEqual(config.num_beams      ,  1   )

      with tempfile.TemporaryDirectory() as tmp_dir:
       config.save_pretrained(_lowerCamelCase   )
       UpperCamelCase_     :					str   	=GenerationConfig.from_pretrained(_lowerCamelCase      ,  temperature=1.0   )

      self.assertEqual(loaded_config.temperature      ,  1.0   )
      self.assertEqual(loaded_config.do_sample      ,  _lowerCamelCase   )
      self.assertEqual(loaded_config.num_beams      ,  1   )  # default value





@is_staging_test
class 				a__					(						unittest.TestCase       ):



     @classmethod
     def  lowerCamelCase_						(							cls :Optional[Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					Dict   	=TOKEN
      HfFolder.save_token(_lowerCamelCase   )



     @classmethod
     def  lowerCamelCase_						(							cls :List[Any]   ):







      '''simple docstring'''



      try:
       delete_repo(token=cls._token      ,  repo_id='test-generation-config'   )
      except HTTPError:
       pass

      try:
       delete_repo(token=cls._token      ,  repo_id='valid_org/test-generation-config-org'   )
      except HTTPError:
       pass



     def  lowerCamelCase_						(							self :List[Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					List[str]   	=GenerationConfig(
          do_sample=_lowerCamelCase      ,  temperature=0.7      ,  length_penalty=1.0      ,  )
      config.push_to_hub('test-generation-config'      ,  use_auth_token=self._token   )

      UpperCamelCase_     :					List[Any]   	=GenerationConfig.from_pretrained(f'''{USER}/test-generation-config'''   )
      for k, v in config.to_dict().items():
       if k != "transformers_version":
        self.assertEqual(_lowerCamelCase      ,  getattr(_lowerCamelCase      ,  _lowerCamelCase   )   )

        # Reset repo
      delete_repo(token=self._token      ,  repo_id='test-generation-config'   )

      # Push to hub via save_pretrained
      with tempfile.TemporaryDirectory() as tmp_dir:
       config.save_pretrained(
           _lowerCamelCase      ,  repo_id='test-generation-config'      ,  push_to_hub=_lowerCamelCase      ,  use_auth_token=self._token   )

      UpperCamelCase_     :					Any   	=GenerationConfig.from_pretrained(f'''{USER}/test-generation-config'''   )
      for k, v in config.to_dict().items():
       if k != "transformers_version":
        self.assertEqual(_lowerCamelCase      ,  getattr(_lowerCamelCase      ,  _lowerCamelCase   )   )




     def  lowerCamelCase_						(							self :Union[str, Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					Union[str, Any]   	=GenerationConfig(
          do_sample=_lowerCamelCase      ,  temperature=0.7      ,  length_penalty=1.0      ,  )
      config.push_to_hub('valid_org/test-generation-config-org'      ,  use_auth_token=self._token   )

      UpperCamelCase_     :					int   	=GenerationConfig.from_pretrained('valid_org/test-generation-config-org'   )
      for k, v in config.to_dict().items():
       if k != "transformers_version":
        self.assertEqual(_lowerCamelCase      ,  getattr(_lowerCamelCase      ,  _lowerCamelCase   )   )

        # Reset repo
      delete_repo(token=self._token      ,  repo_id='valid_org/test-generation-config-org'   )

      # Push to hub via save_pretrained
      with tempfile.TemporaryDirectory() as tmp_dir:
       config.save_pretrained(
           _lowerCamelCase      ,  repo_id='valid_org/test-generation-config-org'      ,  push_to_hub=_lowerCamelCase      ,  use_auth_token=self._token   )

      UpperCamelCase_     :					Optional[Any]   	=GenerationConfig.from_pretrained('valid_org/test-generation-config-org'   )
      for k, v in config.to_dict().items():
       if k != "transformers_version":
        self.assertEqual(_lowerCamelCase      ,  getattr(_lowerCamelCase      ,  _lowerCamelCase   )   )
