






from __future__ import annotations

from typing import Any
class  lowerCAmelCase_       :




							def __init__(   self     :   Any ,							SCREAMING_SNAKE_CASE_     :   int ,							SCREAMING_SNAKE_CASE_     :   int ,							SCREAMING_SNAKE_CASE_     :   float = 0	):
											lowerCAmelCase__			,		lowerCAmelCase__      			=						row, column
											lowerCAmelCase__      			=						[[default_value for c in range(SCREAMING_SNAKE_CASE_	)] for r in range(SCREAMING_SNAKE_CASE_	)]




							def __str__(   self     :   Dict	):
											lowerCAmelCase__      			=						f'Matrix consist of {self.row} rows and {self.column} columns\n'

											# Make string identifier
											lowerCAmelCase__      			=						0
											for row_vector in self.array:
															for obj in row_vector:
																			lowerCAmelCase__      			=						max(SCREAMING_SNAKE_CASE_ ,							len(str(SCREAMING_SNAKE_CASE_	)	)	)
											lowerCAmelCase__      			=						f'%{max_element_length}s'

											# Make string and return
											def single_line(SCREAMING_SNAKE_CASE_     :   list[float]	) -> str:
															nonlocal string_format_identifier
															lowerCAmelCase__      			=						'''['''
															line += ", ".join(string_format_identifier % (obj,) for obj in row_vector	)
															line += "]"
															return line

											s += "\n".join(single_line(SCREAMING_SNAKE_CASE_	) for row_vector in self.array	)
											return s




							def __repr__(   self     :   Any	):
											return str(self	)




							def 						__snake_case					(   self     :   int ,							SCREAMING_SNAKE_CASE_     :   tuple[int, int]	):
											if not (isinstance(SCREAMING_SNAKE_CASE_ ,							(list, tuple)	) and len(SCREAMING_SNAKE_CASE_	) == 2):
															return False
											elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
															return False
											else:
															return True




							def __getitem__(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   tuple[int, int]	):
											assert self.validate_indicies(SCREAMING_SNAKE_CASE_	)
											return self.array[loc[0]][loc[1]]




							def __setitem__(   self     :   str ,							SCREAMING_SNAKE_CASE_     :   tuple[int, int] ,							SCREAMING_SNAKE_CASE_     :   float	):
											assert self.validate_indicies(SCREAMING_SNAKE_CASE_	)
											lowerCAmelCase__      			=						value




							def __add__(   self     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   Matrix	):
											assert isinstance(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	)
											assert self.row == another.row and self.column == another.column

											# Add
											lowerCAmelCase__      			=						Matrix(self.row ,							self.column	)
											for r in range(self.row	):
															for c in range(self.column	):
																			lowerCAmelCase__      			=						self[r, c] + another[r, c]
											return result




							def __neg__(   self     :   Union[str, Any]	):
											lowerCAmelCase__      			=						Matrix(self.row ,							self.column	)
											for r in range(self.row	):
															for c in range(self.column	):
																			lowerCAmelCase__      			=						-self[r, c]
											return result




							def __sub__(   self     :   Optional[Any] ,							SCREAMING_SNAKE_CASE_     :   Matrix	):
											return self + (-another)




							def __mul__(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   int | float | Matrix	):

											if isinstance(SCREAMING_SNAKE_CASE_ ,							(int, float)	):  # Scalar multiplication
															lowerCAmelCase__      			=						Matrix(self.row ,							self.column	)
															for r in range(self.row	):
																			for c in range(self.column	):
																							lowerCAmelCase__      			=						self[r, c] * another
															return result
											elif isinstance(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	):  # Matrix multiplication
															assert self.column == another.row
															lowerCAmelCase__      			=						Matrix(self.row ,							another.column	)
															for r in range(self.row	):
																			for c in range(another.column	):
																							for i in range(self.column	):
																											result[r, c] += self[r, i] * another[i, c]
															return result
											else:
															lowerCAmelCase__      			=						f'Unsupported type given for another ({type(SCREAMING_SNAKE_CASE_	)})'
															raise TypeError(SCREAMING_SNAKE_CASE_	)




							def 						__snake_case					(   self     :   Optional[int]	):
											lowerCAmelCase__      			=						Matrix(self.column ,							self.row	)
											for r in range(self.row	):
															for c in range(self.column	):
																			lowerCAmelCase__      			=						self[r, c]
											return result




							def 						__snake_case					(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   Matrix ,							SCREAMING_SNAKE_CASE_     :   Matrix	):
											assert isinstance(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	) and isinstance(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	)
											assert self.row == self.column == u.row == v.row  # u, v should be column vector
											assert u.column == v.column == 1  # u, v should be column vector

											# Calculate
											lowerCAmelCase__      			=						v.transpose()
											lowerCAmelCase__      			=						(v_t * self * u)[0, 0] + 1
											if numerator_factor == 0:
															return None  # It's not invertable
											return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":





			def 	lowerCAmelCase_		()		->    None:


							'''simple docstring'''




							lowerCAmelCase__      			=						Matrix(3     ,					3     ,					0       )
							for i in range(3       ):
											lowerCAmelCase__      			=						1
							print(f'a^(-1) is {ainv}'       )
							# u, v
							lowerCAmelCase__      			=						Matrix(3     ,					1     ,					0       )
							lowerCAmelCase__			,		lowerCAmelCase__			,		lowerCAmelCase__      			=						1, 2, -3
							lowerCAmelCase__      			=						Matrix(3     ,					1     ,					0       )
							lowerCAmelCase__			,		lowerCAmelCase__			,		lowerCAmelCase__      			=						4, -2, 5
							print(f'u is {u}'       )
							print(f'v is {v}'       )
							print(f'uv^T is {u * v.transpose()}'       )
							# Sherman Morrison
							print(f'(a + uv^T)^(-1) is {ainv.sherman_morrison(lowercase__     ,					lowercase__       )}'       )





			def 	lowerCAmelCase_		()		->    None:


							'''simple docstring'''




							import doctest

							doctest.testmod()




			testa()













from typing import TYPE_CHECKING

from ....utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


_UpperCAmelCase			:		Optional[Any]   				=    {
    "configuration_mctct": ["MCTCT_PRETRAINED_CONFIG_ARCHIVE_MAP", "MCTCTConfig"],
    "feature_extraction_mctct": ["MCTCTFeatureExtractor"],
    "processing_mctct": ["MCTCTProcessor"],
}


try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			_UpperCAmelCase			:		str   				=    [
			    "MCTCT_PRETRAINED_MODEL_ARCHIVE_LIST",
			    "MCTCTForCTC",
			    "MCTCTModel",
			    "MCTCTPreTrainedModel",
			]


if TYPE_CHECKING:
			from .configuration_mctct import MCTCT_PRETRAINED_CONFIG_ARCHIVE_MAP, MCTCTConfig
			from .feature_extraction_mctct import MCTCTFeatureExtractor
			from .processing_mctct import MCTCTProcessor

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_mctct import MCTCT_PRETRAINED_MODEL_ARCHIVE_LIST, MCTCTForCTC, MCTCTModel, MCTCTPreTrainedModel

else:
			import sys

			_UpperCAmelCase			:		List[str]   				=    _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





