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





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


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							_lowerCamelCase					:   Tuple							=		[
							    [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]]))





import os
import tempfile
import unittest

from transformers.models.marian.convert_marian_tatoeba_to_pytorch import DEFAULT_REPO, TatoebaConverter
from transformers.testing_utils import slow
from transformers.utils import cached_property


@unittest.skipUnless(os.path.exists(a     )				,       """Tatoeba directory does not exist."""     )
class 						lowercase    (     unittest.TestCase     ):




							@cached_property
							def 	__snake_case(						self   :					int      )					->				List[Any]:



												'''simple docstring'''

												SCREAMING_SNAKE_CASE    			=       tempfile.mkdtemp()
												return TatoebaConverter(save_dir=_UpperCamelCase      )




							@slow
							def 	__snake_case(						self   :					Tuple      )					->				List[Any]:



												'''simple docstring'''

												self.resolver.convert_models(["heb-eng"]      )





							@slow
							def 	__snake_case(						self   :					Any      )					->				Optional[int]:



												'''simple docstring'''

												SCREAMING_SNAKE_CASE			,   SCREAMING_SNAKE_CASE    			=       self.resolver.write_model_card("opus-mt-he-en"	,							dry_run=_UpperCamelCase      )
												assert mmeta["long_pair"] == "heb-eng"




