
"""simple docstring"""





import os
import unittest

from transformers import BertTokenizerFast
from transformers.models.bert.tokenization_bert import (
    VOCAB_FILES_NAMES,
    BasicTokenizer,
    BertTokenizer,
    WordpieceTokenizer,
    _is_control,
    _is_punctuation,
    _is_whitespace,
)
from transformers.testing_utils import require_tokenizers, slow

from ...test_tokenization_common import TokenizerTesterMixin, filter_non_english



@require_tokenizers
class __lowerCAmelCase				(					_lowercase     ,				unittest.TestCase      ):




			"""simple docstring"""







			snake_case	      =				BertTokenizer
			snake_case	      =				BertTokenizerFast
			snake_case	      =				True
			snake_case	      =				True
			snake_case	      =				filter_non_english




			def      lowerCamelCase__     (				self						:					Any	)      -> Tuple:







								"""simple docstring"""
								super().setUp()

								A_				 =						[
								    "[UNK]",
								    "[CLS]",
								    "[SEP]",
								    "[PAD]",
								    "[MASK]",
								    "want",
								    "##want",
								    "##ed",
								    "wa",
								    "un",
								    "runn",
								    "##ing",
								    ",",
								    "low",
								    "lowest",
								]
								A_				 =						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      lowerCamelCase__     (				self						:					Optional[Any]       ,   _snake_case						:					str	)      -> Tuple:







								"""simple docstring"""
								A_				 =						"UNwant\u00E9d,running"
								A_				 =						"unwanted, running"
								return input_text, output_text




			def      lowerCamelCase__     (				self						:					Optional[Any]	)      -> List[Any]:







								"""simple docstring"""
								A_				 =						self.tokenizer_class(self.vocab_file	)

								A_				 =						tokenizer.tokenize("UNwant\u00E9d,running"	)
								self.assertListEqual(_snake_case       ,   ["un", "##want", "##ed", ",", "runn", "##ing"]	)
								self.assertListEqual(tokenizer.convert_tokens_to_ids(_snake_case	)       ,   [9, 6, 7, 12, 10, 11]	)




			def      lowerCamelCase__     (				self						:					str	)      -> Any:







								"""simple docstring"""
								if not self.test_rust_tokenizer:
													return

								A_				 =						self.get_tokenizer()
								A_				 =						self.get_rust_tokenizer()

								A_				 =						"UNwant\u00E9d,running"

								A_				 =						tokenizer.tokenize(_snake_case	)
								A_				 =						rust_tokenizer.tokenize(_snake_case	)
								self.assertListEqual(_snake_case       ,   _snake_case	)

								A_				 =						tokenizer.encode(_snake_case       ,   add_special_tokens=_snake_case	)
								A_				 =						rust_tokenizer.encode(_snake_case       ,   add_special_tokens=_snake_case	)
								self.assertListEqual(_snake_case       ,   _snake_case	)

								A_				 =						self.get_rust_tokenizer()
								A_				 =						tokenizer.encode(_snake_case	)
								A_				 =						rust_tokenizer.encode(_snake_case	)
								self.assertListEqual(_snake_case       ,   _snake_case	)

								# With lower casing
								A_				 =						self.get_tokenizer(do_lower_case=_snake_case	)
								A_				 =						self.get_rust_tokenizer(do_lower_case=_snake_case	)

								A_				 =						"UNwant\u00E9d,running"

								A_				 =						tokenizer.tokenize(_snake_case	)
								A_				 =						rust_tokenizer.tokenize(_snake_case	)
								self.assertListEqual(_snake_case       ,   _snake_case	)

								A_				 =						tokenizer.encode(_snake_case       ,   add_special_tokens=_snake_case	)
								A_				 =						rust_tokenizer.encode(_snake_case       ,   add_special_tokens=_snake_case	)
								self.assertListEqual(_snake_case       ,   _snake_case	)

								A_				 =						self.get_rust_tokenizer()
								A_				 =						tokenizer.encode(_snake_case	)
								A_				 =						rust_tokenizer.encode(_snake_case	)
								self.assertListEqual(_snake_case       ,   _snake_case	)




			def      lowerCamelCase__     (				self						:					Union[str, Any]	)      -> Tuple:







								"""simple docstring"""
								A_				 =						BasicTokenizer()

								self.assertListEqual(tokenizer.tokenize("ah\u535A\u63A8zz"	)       ,   ["ah", "\u535A", "\u63A8", "zz"]	)




			def      lowerCamelCase__     (				self						:					str	)      -> Tuple:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHeLLo!how  \n Are yoU?  "	)       ,   ["hello", "!", "how", "are", "you", "?"]	)
								self.assertListEqual(tokenizer.tokenize("H\u00E9llo"	)       ,   ["hello"]	)




			def      lowerCamelCase__     (				self						:					Dict	)      -> Dict:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case       ,   strip_accents=_snake_case	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "	)       ,   ["hällo", "!", "how", "are", "you", "?"]	)
								self.assertListEqual(tokenizer.tokenize("H\u00E9llo"	)       ,   ["h\u00E9llo"]	)




			def      lowerCamelCase__     (				self						:					Any	)      -> List[Any]:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case       ,   strip_accents=_snake_case	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "	)       ,   ["hallo", "!", "how", "are", "you", "?"]	)
								self.assertListEqual(tokenizer.tokenize("H\u00E9llo"	)       ,   ["hello"]	)




			def      lowerCamelCase__     (				self						:					Optional[Any]	)      -> Union[str, Any]:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "	)       ,   ["hallo", "!", "how", "are", "you", "?"]	)
								self.assertListEqual(tokenizer.tokenize("H\u00E9llo"	)       ,   ["hello"]	)




			def      lowerCamelCase__     (				self						:					List[str]	)      -> Optional[Any]:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHeLLo!how  \n Are yoU?  "	)       ,   ["HeLLo", "!", "how", "Are", "yoU", "?"]	)




			def      lowerCamelCase__     (				self						:					List[str]	)      -> Union[str, Any]:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case       ,   strip_accents=_snake_case	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "	)       ,   ["HäLLo", "!", "how", "Are", "yoU", "?"]	)




			def      lowerCamelCase__     (				self						:					int	)      -> Optional[int]:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case       ,   strip_accents=_snake_case	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "	)       ,   ["HaLLo", "!", "how", "Are", "yoU", "?"]	)




			def      lowerCamelCase__     (				self						:					Any	)      -> Any:







								"""simple docstring"""
								A_				 =						BasicTokenizer(do_lower_case=_snake_case       ,   never_split=["[UNK]"]	)

								self.assertListEqual(
								    tokenizer.tokenize(" \tHeLLo!how  \n Are yoU? [UNK]"	)       ,   ["HeLLo", "!", "how", "Are", "yoU", "?", "[UNK]"]	)




			def      lowerCamelCase__     (				self						:					Optional[int]	)      -> Optional[int]:







								"""simple docstring"""
								A_				 =						BasicTokenizer()
								A_				 =						"a\n'll !!to?'d of, can't."
								A_				 =						["a", "'", "ll", "!", "!", "to", "?", "'", "d", "of", ",", "can", "'", "t", "."]
								self.assertListEqual(tokenizer.tokenize(_snake_case	)       ,   _snake_case	)




			def      lowerCamelCase__     (				self						:					int	)      -> Tuple:







								"""simple docstring"""
								A_				 =						["[UNK]", "[CLS]", "[SEP]", "want", "##want", "##ed", "wa", "un", "runn", "##ing"]

								A_				 =						{}
								for i, token in enumerate(_snake_case	):
													A_				 =						i
								A_				 =						WordpieceTokenizer(vocab=_snake_case       ,   unk_token="[UNK]"	)

								self.assertListEqual(tokenizer.tokenize(""	)       ,   []	)

								self.assertListEqual(tokenizer.tokenize("unwanted running"	)       ,   ["un", "##want", "##ed", "runn", "##ing"]	)

								self.assertListEqual(tokenizer.tokenize("unwantedX running"	)       ,   ["[UNK]", "runn", "##ing"]	)




			def      lowerCamelCase__     (				self						:					List[str]	)      -> Optional[Any]:







								"""simple docstring"""
								self.assertTrue(_is_whitespace(" "	)	)
								self.assertTrue(_is_whitespace("\t"	)	)
								self.assertTrue(_is_whitespace("\r"	)	)
								self.assertTrue(_is_whitespace("\n"	)	)
								self.assertTrue(_is_whitespace("\u00A0"	)	)

								self.assertFalse(_is_whitespace("A"	)	)
								self.assertFalse(_is_whitespace("-"	)	)




			def      lowerCamelCase__     (				self						:					Any	)      -> Dict:







								"""simple docstring"""
								self.assertTrue(_is_control("\u0005"	)	)

								self.assertFalse(_is_control("A"	)	)
								self.assertFalse(_is_control(" "	)	)
								self.assertFalse(_is_control("\t"	)	)
								self.assertFalse(_is_control("\r"	)	)




			def      lowerCamelCase__     (				self						:					Optional[Any]	)      -> Optional[Any]:







								"""simple docstring"""
								self.assertTrue(_is_punctuation("-"	)	)
								self.assertTrue(_is_punctuation("$"	)	)
								self.assertTrue(_is_punctuation("`"	)	)
								self.assertTrue(_is_punctuation("."	)	)

								self.assertFalse(_is_punctuation("A"	)	)
								self.assertFalse(_is_punctuation(" "	)	)




			def      lowerCamelCase__     (				self						:					Optional[Any]	)      -> Union[str, Any]:







								"""simple docstring"""
								A_				 =						self.get_tokenizer()
								A_				 =						self.get_rust_tokenizer()

								# Example taken from the issue https://github.com/huggingface/tokenizers/issues/340
								self.assertListEqual([tokenizer.tokenize(_snake_case	) for t in ["Test", "\xad", "test"]]       ,   [["[UNK]"], [], ["[UNK]"]]	)

								self.assertListEqual(
								    [rust_tokenizer.tokenize(_snake_case	) for t in ["Test", "\xad", "test"]]       ,   [["[UNK]"], [], ["[UNK]"]]	)




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







								"""simple docstring"""
								A_				 =						self.tokenizer_class.from_pretrained("bert-base-uncased"	)

								A_				 =						tokenizer.encode("sequence builders"       ,   add_special_tokens=_snake_case	)
								A_				 =						tokenizer.encode("multi-sequence build"       ,   add_special_tokens=_snake_case	)

								A_				 =						tokenizer.build_inputs_with_special_tokens(_snake_case	)
								A_				 =						tokenizer.build_inputs_with_special_tokens(_snake_case       ,   _snake_case	)

								assert encoded_sentence == [101] + text + [102]
								assert encoded_pair == [101] + text + [102] + text_a + [102]




			def      lowerCamelCase__     (				self						:					str	)      -> Any:







								"""simple docstring"""
								for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
													with self.subTest(F'{tokenizer.__class__.__name__} ({pretrained_name})'	):
																		A_				 =						self.rust_tokenizer_class.from_pretrained(_snake_case       ,   **_snake_case	)

																		A_				 =						F'A, naïve {tokenizer_r.mask_token} AllenNLP sentence.'
																		A_				 =						tokenizer_r.encode_plus(
																		    _snake_case       ,   return_attention_mask=_snake_case       ,   return_token_type_ids=_snake_case       ,   return_offsets_mapping=_snake_case       ,   add_special_tokens=_snake_case       ,   )

																		A_				 =						tokenizer_r.do_lower_case if hasattr(_snake_case       ,   "do_lower_case"	) else False
																		A_				 =						(
																		    [
																		        ((0, 0), tokenizer_r.cls_token),
																		        ((0, 1), "A"),
																		        ((1, 2), ","),
																		        ((3, 5), "na"),
																		        ((5, 6), "##ï"),
																		        ((6, 8), "##ve"),
																		        ((9, 15), tokenizer_r.mask_token),
																		        ((16, 21), "Allen"),
																		        ((21, 23), "##NL"),
																		        ((23, 24), "##P"),
																		        ((25, 33), "sentence"),
																		        ((33, 34), "."),
																		        ((0, 0), tokenizer_r.sep_token),
																		    ]
																		    if not do_lower_case
																		    else [
																		        ((0, 0), tokenizer_r.cls_token),
																		        ((0, 1), "a"),
																		        ((1, 2), ","),
																		        ((3, 8), "naive"),
																		        ((9, 15), tokenizer_r.mask_token),
																		        ((16, 21), "allen"),
																		        ((21, 23), "##nl"),
																		        ((23, 24), "##p"),
																		        ((25, 33), "sentence"),
																		        ((33, 34), "."),
																		        ((0, 0), tokenizer_r.sep_token),
																		    ]
																		)

																		self.assertEqual(
																		    [e[1] for e in expected_results]       ,   tokenizer_r.convert_ids_to_tokens(tokens["input_ids"]	)	)
																		self.assertEqual([e[0] for e in expected_results]       ,   tokens["offset_mapping"]	)






			def      lowerCamelCase__     (				self						:					str	)      -> Union[str, Any]:







								"""simple docstring"""
								A_				 =						["的", "人", "有"]
								A_				 =						"".join(_snake_case	)
								for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
													with self.subTest(F'{tokenizer.__class__.__name__} ({pretrained_name})'	):
																		A_				 =						True
																		A_				 =						self.tokenizer_class.from_pretrained(_snake_case       ,   **_snake_case	)
																		A_				 =						self.rust_tokenizer_class.from_pretrained(_snake_case       ,   **_snake_case	)

																		A_				 =						tokenizer_p.encode(_snake_case       ,   add_special_tokens=_snake_case	)
																		A_				 =						tokenizer_r.encode(_snake_case       ,   add_special_tokens=_snake_case	)

																		A_				 =						tokenizer_r.convert_ids_to_tokens(_snake_case	)
																		A_				 =						tokenizer_p.convert_ids_to_tokens(_snake_case	)

																		# it is expected that each Chinese character is not preceded by "##"
																		self.assertListEqual(_snake_case       ,   _snake_case	)
																		self.assertListEqual(_snake_case       ,   _snake_case	)

																		A_				 =						False
																		A_				 =						self.rust_tokenizer_class.from_pretrained(_snake_case       ,   **_snake_case	)
																		A_				 =						self.tokenizer_class.from_pretrained(_snake_case       ,   **_snake_case	)

																		A_				 =						tokenizer_r.encode(_snake_case       ,   add_special_tokens=_snake_case	)
																		A_				 =						tokenizer_p.encode(_snake_case       ,   add_special_tokens=_snake_case	)

																		A_				 =						tokenizer_r.convert_ids_to_tokens(_snake_case	)
																		A_				 =						tokenizer_p.convert_ids_to_tokens(_snake_case	)

																		# it is expected that only the first Chinese character is not preceded by "##".
																		A_				 =						[
																		    F'##{token}' if idx != 0 else token for idx, token in enumerate(_snake_case	)
																		]
																		self.assertListEqual(_snake_case       ,   _snake_case	)
																		self.assertListEqual(_snake_case       ,   _snake_case	)






"""simple docstring"""





def 							A_     (__a				):

					'''simple docstring'''





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

					'''simple docstring'''





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


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		UpperCamelCase_					:						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]]))




