
def      lowerCamelCase__       (       __lowerCAmelCase						:						int       ):




			"""simple docstring"""


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






def      lowerCamelCase__       (       __lowerCAmelCase						:						List[str]       ):




			"""simple docstring"""


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


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			_A     =  [
			    [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]]))





from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_tokenizers_available,
    is_torch_available,
)


_A     =  {}

try:
			if not is_sentencepiece_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			_A     =  ["NllbTokenizer"]

try:
			if not is_tokenizers_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			_A     =  ["NllbTokenizerFast"]


if TYPE_CHECKING:
			try:
						if not is_sentencepiece_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .tokenization_nllb import NllbTokenizer

			try:
						if not is_tokenizers_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .tokenization_nllb_fast import NllbTokenizerFast

else:
			import sys

			_A     =  _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)



