

def 			lowerCAmelCase(      SCREAMING_SNAKE_CASE_			)->						list[list]:



    """simple docstring"""






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




def 			lowerCAmelCase(      SCREAMING_SNAKE_CASE_			)->						list:



    """simple docstring"""






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


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 SCREAMING_SNAKE_CASE		:Optional[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]]))



import os
import unittest

from transformers import LayoutLMTokenizer, LayoutLMTokenizerFast
from transformers.models.layoutlm.tokenization_layoutlm import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin






@require_tokenizers
class 						__magic_name__					(							snake_case			,      unittest.TestCase				):
     UpperCamelCase_	:List[Any]										=      LayoutLMTokenizer
     UpperCamelCase_	:Dict										=      LayoutLMTokenizerFast
     UpperCamelCase_	:List[str]										=      True
     UpperCamelCase_	:Dict										=      True






     def 	UpperCAmelCase_				(				self	)->     str:
         super().setUp()

         UpperCamelCase_			  =						[
             "[UNK]",
             "[CLS]",
             "[SEP]",
             "want",
             "##want",
             "##ed",
             "wa",
             "un",
             "runn",
             "##ing",
             ",",
             "low",
             "lowest",
         ]
         UpperCamelCase_			  =						os.path.join(self.tmpdirname		,						VOCAB_FILES_NAMES["vocab_file"]	)
         with open(self.vocab_file		,						"w"		,						encoding="utf-8"	) as vocab_writer:
             vocab_writer.write("".join([x + "\n" for x in vocab_tokens]	)	)






     def 	UpperCAmelCase_				(				self		,						**_lowercase	)->     List[str]:
         return LayoutLMTokenizer.from_pretrained(self.tmpdirname		,						**_lowercase	)






     def 	UpperCAmelCase_				(				self		,						_lowercase	)->     Union[str, Any]:
         UpperCamelCase_			  =						"UNwant\u00E9d,running"
         UpperCamelCase_			  =						"unwanted, running"
         return input_text, output_text






     def 	UpperCAmelCase_				(				self	)->     Tuple:
         UpperCamelCase_			  =						self.tokenizer_class(self.vocab_file	)

         UpperCamelCase_			  =						tokenizer.tokenize("UNwant\u00E9d,running"	)
         self.assertListEqual(_lowercase		,						["un", "##want", "##ed", ",", "runn", "##ing"]	)
         self.assertListEqual(tokenizer.convert_tokens_to_ids(_lowercase	)		,						[7, 4, 5, 10, 8, 9]	)






     def 	UpperCAmelCase_				(				self	)->     Dict:
         pass
