



'''simple docstring'''

from __future__ import annotations

import numpy as np






def       __lowercase  (_SCREAMING_SNAKE_CASE      :np.ndarray       ):
				SCREAMING_SNAKE_CASE					,					SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= np.shape(_SCREAMING_SNAKE_CASE       )
				if rows != columns:
								SCREAMING_SNAKE_CASE  :						Optional[Any]      					= (
								    '''\'table\' has to be of square shaped array but got a '''
								    F'''{rows}x{columns} array:\n{table}'''
								)
								raise ValueError(_SCREAMING_SNAKE_CASE       )

				SCREAMING_SNAKE_CASE  :						Any      					= np.zeros((rows, columns)       )
				SCREAMING_SNAKE_CASE  :						Tuple      					= np.zeros((rows, columns)       )
				for i in range(_SCREAMING_SNAKE_CASE       ):
								for j in range(_SCREAMING_SNAKE_CASE       ):
												SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= sum(lower[i][k] * upper[k][j] for k in range(_SCREAMING_SNAKE_CASE       )       )
												if upper[j][j] == 0:
																raise ArithmeticError('''No LU decomposition exists'''       )
												SCREAMING_SNAKE_CASE  :						List[Any]      					= (table[i][j] - total) / upper[j][j]
								SCREAMING_SNAKE_CASE  :						str      					= 1
								for j in range(_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE       ):
												SCREAMING_SNAKE_CASE  :						Optional[int]      					= sum(lower[i][k] * upper[k][j] for k in range(_SCREAMING_SNAKE_CASE       )       )
												SCREAMING_SNAKE_CASE  :						Optional[Any]      					= table[i][j] - total
				return lower, upper


if __name__ == "__main__":
	import doctest

	doctest.testmod()









'''simple docstring'''

from ..utils import DummyObject, requires_backends


class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    List[Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Tuple	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[int]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[int]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    List[str]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Union[str, Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    int	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    str	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    str	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    List[Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Tuple	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    int	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    List[str]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    str	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Any	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[int]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[int]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[int]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[int]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    List[Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    str	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[int]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Tuple	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Any	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    List[Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Any	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    int	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    Optional[Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    int	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )



class 	a__     (				metaclass=_lowercase	):
	__magic_name__		:    List[Any]	    =     ["sentencepiece"]


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

					"""simple docstring"""

					requires_backends(self,					['''sentencepiece''']      )




