


'''simple docstring'''


from ..utils import DummyObject, requires_backends






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Optional[Any]				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Tuple				      =   ['''sentencepiece''']




			def __init__(						self     :   List[Any]		,     *lowerCamelCase__     :   Optional[Any]		,     **lowerCamelCase__     :   List[Any]       )      ->Dict:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Tuple				      =   ['''sentencepiece''']




			def __init__(						self     :   str		,     *lowerCamelCase__     :   Optional[int]		,     **lowerCamelCase__     :   Optional[Any]       )      ->str:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Optional[Any]				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Tuple				      =   ['''sentencepiece''']




			def __init__(						self     :   Dict		,     *lowerCamelCase__     :   Optional[int]		,     **lowerCamelCase__     :   Optional[Any]       )      ->Union[str, Any]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		List[str]				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[Any]		,     *lowerCamelCase__     :   Dict		,     **lowerCamelCase__     :   Dict       )      ->List[Any]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		str				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		List[str]				      =   ['''sentencepiece''']




			def __init__(						self     :   str		,     *lowerCamelCase__     :   Tuple		,     **lowerCamelCase__     :   Any       )      ->Dict:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Optional[Any]				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Optional[Any]				      =   ['''sentencepiece''']




			def __init__(						self     :   str		,     *lowerCamelCase__     :   Optional[int]		,     **lowerCamelCase__     :   str       )      ->int:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Dict				      =   ['''sentencepiece''']




			def __init__(						self     :   Any		,     *lowerCamelCase__     :   Optional[int]		,     **lowerCamelCase__     :   str       )      ->List[Any]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		str				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Union[str, Any]				      =   ['''sentencepiece''']




			def __init__(						self     :   Dict		,     *lowerCamelCase__     :   Optional[int]		,     **lowerCamelCase__     :   Optional[int]       )      ->Tuple:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		int				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[Any]		,     *lowerCamelCase__     :   List[str]		,     **lowerCamelCase__     :   Dict       )      ->List[str]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Tuple				      =   ['''sentencepiece''']




			def __init__(						self     :   List[Any]		,     *lowerCamelCase__     :   Optional[int]		,     **lowerCamelCase__     :   Any       )      ->Union[str, Any]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Dict				      =   ['''sentencepiece''']




			def __init__(						self     :   Union[str, Any]		,     *lowerCamelCase__     :   List[str]		,     **lowerCamelCase__     :   Tuple       )      ->Optional[int]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		List[str]				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Any				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Dict				      =   ['''sentencepiece''']




			def __init__(						self     :   Any		,     *lowerCamelCase__     :   Optional[int]		,     **lowerCamelCase__     :   Optional[Any]       )      ->str:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		List[str]				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[int]		,     *lowerCamelCase__     :   Union[str, Any]		,     **lowerCamelCase__     :   str       )      ->Tuple:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Any				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[int]		,     *lowerCamelCase__     :   Union[str, Any]		,     **lowerCamelCase__     :   List[Any]       )      ->Union[str, Any]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Union[str, Any]				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[int]		,     *lowerCamelCase__     :   Optional[Any]		,     **lowerCamelCase__     :   Any       )      ->List[str]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		int				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[Any]		,     *lowerCamelCase__     :   Any		,     **lowerCamelCase__     :   Optional[int]       )      ->List[Any]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		int				      =   ['''sentencepiece''']




			def __init__(						self     :   Tuple		,     *lowerCamelCase__     :   List[str]		,     **lowerCamelCase__     :   Optional[Any]       )      ->Union[str, Any]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Any				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		int				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Union[str, Any]				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[int]		,     *lowerCamelCase__     :   str		,     **lowerCamelCase__     :   Tuple       )      ->Any:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Any				      =   ['''sentencepiece''']




			def __init__(						self     :   Optional[Any]		,     *lowerCamelCase__     :   Dict		,     **lowerCamelCase__     :   Tuple       )      ->int:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		int				      =   ['''sentencepiece''']




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



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		Optional[int]				      =   ['''sentencepiece''']




			def __init__(						self     :   Union[str, Any]		,     *lowerCamelCase__     :   Any		,     **lowerCamelCase__     :   Optional[int]       )      ->Tuple:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






class 		lowerCAmelCase__	(	metaclass=lowercase_		):
			lowerCAmelCase       :		List[Any]				      =   ['''sentencepiece''']




			def __init__(						self     :   Dict		,     *lowerCamelCase__     :   List[str]		,     **lowerCamelCase__     :   str       )      ->List[str]:



					'''simple docstring'''







					requires_backends(self		,     ["sentencepiece"]       )






from __future__ import annotations

import numpy as np





def 					__lowerCamelCase	( UpperCamelCase__      ):







							'''simple docstring'''






							snake_case_				,    snake_case_							=    np.shape(UpperCamelCase__      )
							if rows != columns:
														snake_case_							=    (
														    '\'table\' has to be of square shaped array but got a '
														    F'''{rows}x{columns} array:\n{table}'''
														)
														raise ValueError(UpperCamelCase__      )

							snake_case_							=    np.zeros((rows, columns)      )
							snake_case_							=    np.zeros((rows, columns)      )
							for i in range(UpperCamelCase__      ):
														for j in range(UpperCamelCase__      ):
																					snake_case_							=    sum(lower[i][k] * upper[k][j] for k in range(UpperCamelCase__      )      )
																					if upper[j][j] == 0:
																												raise ArithmeticError('No LU decomposition exists'      )
																					snake_case_							=    (table[i][j] - total) / upper[j][j]
														snake_case_							=    1
														for j in range(UpperCamelCase__   ,							UpperCamelCase__      ):
																					snake_case_							=    sum(lower[i][k] * upper[k][j] for k in range(UpperCamelCase__      )      )
																					snake_case_							=    table[i][j] - total
							return lower, upper


if __name__ == "__main__":
					import doctest

					doctest.testmod()




