






from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload
class  lowerCAmelCase_       :




							def __init__(   self     :   Union[str, Any] ,							SCREAMING_SNAKE_CASE_     :   str = None	):
											if components is None:
															lowerCAmelCase__      			=						[]
											lowerCAmelCase__      			=						list(lowercase__	)




							def __len__(   self     :   Dict	):
											return len(self.__components	)




							def __str__(   self     :   int	):
											return "(" + ",".join(map(lowercase__ ,							self.__components	)	) + ")"




							def __add__(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   int	):
											lowerCAmelCase__      			=						len(self	)
											if size == len(lowercase__	):
															lowerCAmelCase__      			=						[self.__components[i] + other.component(lowercase__	) for i in range(lowercase__	)]
															return Vector(lowercase__	)
											else:
															raise Exception('''must have the same size'''	)




							def __sub__(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   Union[str, Any]	):
											lowerCAmelCase__      			=						len(self	)
											if size == len(lowercase__	):
															lowerCAmelCase__      			=						[self.__components[i] - other.component(lowercase__	) for i in range(lowercase__	)]
															return Vector(lowercase__	)
											else:  # error case
															raise Exception('''must have the same size'''	)




							@overload
							def __mul__(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   int	):
											...




							@overload
							def __mul__(   self     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   Optional[Any]	):
											...




							def __mul__(   self     :   List[Any] ,							SCREAMING_SNAKE_CASE_     :   List[str]	):
											if isinstance(lowercase__ ,							(float, int)	):
															lowerCAmelCase__      			=						[c * other for c in self.__components]
															return Vector(lowercase__	)
											elif isinstance(lowercase__ ,							lowercase__	) and len(self	) == len(lowercase__	):
															lowerCAmelCase__      			=						len(self	)
															lowerCAmelCase__      			=						[self.__components[i] * other.component(lowercase__	) for i in range(lowercase__	)]
															return sum(lowercase__	)
											else:  # error case
															raise Exception('''invalid operand!'''	)




							def 						__snake_case					(   self     :   Any	):
											return Vector(self.__components	)




							def 						__snake_case					(   self     :   Union[str, Any] ,							SCREAMING_SNAKE_CASE_     :   List[str]	):
											if isinstance(lowercase__ ,							lowercase__	) and -len(self.__components	) <= i < len(self.__components	):
															return self.__components[i]
											else:
															raise Exception('''index out of range'''	)




							def 						__snake_case					(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   Any ,							SCREAMING_SNAKE_CASE_     :   Tuple	):
											assert -len(self.__components	) <= pos < len(self.__components	)
											lowerCAmelCase__      			=						value




							def 						__snake_case					(   self     :   Tuple	):
											if len(self.__components	) == 0:
															raise Exception('''Vector is empty'''	)
											lowerCAmelCase__      			=						[c**2 for c in self.__components]
											return math.sqrt(sum(lowercase__	)	)




							def 						__snake_case					(   self     :   Optional[int] ,							SCREAMING_SNAKE_CASE_     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   int = False	):
											lowerCAmelCase__      			=						self * other
											lowerCAmelCase__      			=						self.euclidean_length() * other.euclidean_length()
											if deg:
															return math.degrees(math.acos(num / den	)	)
											else:
															return math.acos(num / den	)





def 	lowerCAmelCase_		(lowercase__						:       int       )		->    Tuple:
				assert isinstance(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       )
				return Vector([0] * dimension       )





def 	lowerCAmelCase_		(lowercase__						:       int     ,					lowercase__						:       int       )		->    Optional[int]:
				assert isinstance(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       ) and (isinstance(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       ))
				lowerCAmelCase__      			=						[0] * dimension
				lowerCAmelCase__      			=						1
				return Vector(SCREAMING_SNAKE_CASE__       )





def 	lowerCAmelCase_		(lowercase__						:       float     ,					lowercase__						:       Vector     ,					lowercase__						:       Vector       )		->    int:
				assert (
				    isinstance(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       )
				    and isinstance(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       )
				    and (isinstance(SCREAMING_SNAKE_CASE__     ,					(int, float)       ))
				)
				return x * scalar + y





def 	lowerCAmelCase_		(lowercase__						:       int     ,					lowercase__						:       int     ,					lowercase__						:       int       )		->    Optional[Any]:
				random.seed(SCREAMING_SNAKE_CASE__       )
				lowerCAmelCase__      			=						[random.randint(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       ) for _ in range(SCREAMING_SNAKE_CASE__       )]
				return Vector(SCREAMING_SNAKE_CASE__       )
class  lowerCAmelCase_       :




							def __init__(   self     :   List[str] ,							SCREAMING_SNAKE_CASE_     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   str ,							SCREAMING_SNAKE_CASE_     :   Union[str, Any]	):
											lowerCAmelCase__      			=						matrix
											lowerCAmelCase__      			=						w
											lowerCAmelCase__      			=						h




							def __str__(   self     :   List[str]	):
											lowerCAmelCase__      			=						""""""
											for i in range(self.__height	):
															ans += "|"
															for j in range(self.__width	):
																			if j < self.__width - 1:
																							ans += str(self.__matrix[i][j]	) + ","
																			else:
																							ans += str(self.__matrix[i][j]	) + "|\n"
											return ans




							def __add__(   self     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   Any	):
											if self.__width == other.width() and self.__height == other.height():
															lowerCAmelCase__      			=						[]
															for i in range(self.__height	):
																			lowerCAmelCase__      			=						[
																			    self.__matrix[i][j] + other.component(lowercase__ ,							lowercase__	)
																			    for j in range(self.__width	)
																			]
																			matrix.append(lowercase__	)
															return Matrix(lowercase__ ,							self.__width ,							self.__height	)
											else:
															raise Exception('''matrix must have the same dimension!'''	)




							def __sub__(   self     :   Union[str, Any] ,							SCREAMING_SNAKE_CASE_     :   Optional[int]	):
											if self.__width == other.width() and self.__height == other.height():
															lowerCAmelCase__      			=						[]
															for i in range(self.__height	):
																			lowerCAmelCase__      			=						[
																			    self.__matrix[i][j] - other.component(lowercase__ ,							lowercase__	)
																			    for j in range(self.__width	)
																			]
																			matrix.append(lowercase__	)
															return Matrix(lowercase__ ,							self.__width ,							self.__height	)
											else:
															raise Exception('''matrices must have the same dimension!'''	)




							@overload
							def __mul__(   self     :   int ,							SCREAMING_SNAKE_CASE_     :   List[str]	):
											...




							@overload
							def __mul__(   self     :   Optional[int] ,							SCREAMING_SNAKE_CASE_     :   List[Any]	):
											...




							def __mul__(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   List[Any]	):
											if isinstance(lowercase__ ,							lowercase__	):  # matrix-vector
															if len(lowercase__	) == self.__width:
																			lowerCAmelCase__      			=						zero_vector(self.__height	)
																			for i in range(self.__height	):
																							lowerCAmelCase__      			=						[
																							    self.__matrix[i][j] * other.component(lowercase__	)
																							    for j in range(self.__width	)
																							]
																							ans.change_component(lowercase__ ,							sum(lowercase__	)	)
																			return ans
															else:
																			raise Exception(
																			    '''vector must have the same size as the '''
																			    '''number of columns of the matrix!'''	)
											elif isinstance(lowercase__ ,							(int, float)	):  # matrix-scalar
															lowerCAmelCase__      			=						[
															    [self.__matrix[i][j] * other for j in range(self.__width	)]
															    for i in range(self.__height	)
															]
															return Matrix(lowercase__ ,							self.__width ,							self.__height	)
											return None




							def 						__snake_case					(   self     :   Optional[int]	):
											return self.__height




							def 						__snake_case					(   self     :   Tuple	):
											return self.__width




							def 						__snake_case					(   self     :   List[str] ,							SCREAMING_SNAKE_CASE_     :   Any ,							SCREAMING_SNAKE_CASE_     :   int	):
											if 0 <= x < self.__height and 0 <= y < self.__width:
															return self.__matrix[x][y]
											else:
															raise Exception('''change_component: indices out of bounds'''	)




							def 						__snake_case					(   self     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   str ,							SCREAMING_SNAKE_CASE_     :   Union[str, Any] ,							SCREAMING_SNAKE_CASE_     :   Dict	):
											if 0 <= x < self.__height and 0 <= y < self.__width:
															lowerCAmelCase__      			=						value
											else:
															raise Exception('''change_component: indices out of bounds'''	)




							def 						__snake_case					(   self     :   Any ,							SCREAMING_SNAKE_CASE_     :   int ,							SCREAMING_SNAKE_CASE_     :   List[str]	):
											if self.__height != self.__width:
															raise Exception('''Matrix is not square'''	)
											lowerCAmelCase__      			=						self.__matrix[:x] + self.__matrix[x + 1 :]
											for i in range(len(lowercase__	)	):
															lowerCAmelCase__      			=						minor[i][:y] + minor[i][y + 1 :]
											return Matrix(lowercase__ ,							self.__width - 1 ,							self.__height - 1	).determinant()




							def 						__snake_case					(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   Any ,							SCREAMING_SNAKE_CASE_     :   Union[str, Any]	):
											if self.__height != self.__width:
															raise Exception('''Matrix is not square'''	)
											if 0 <= x < self.__height and 0 <= y < self.__width:
															return (-1) ** (x + y) * self.minor(lowercase__ ,							lowercase__	)
											else:
															raise Exception('''Indices out of bounds'''	)




							def 						__snake_case					(   self     :   Any	):
											if self.__height != self.__width:
															raise Exception('''Matrix is not square'''	)
											if self.__height < 1:
															raise Exception('''Matrix has no element'''	)
											elif self.__height == 1:
															return self.__matrix[0][0]
											elif self.__height == 2:
															return (
															    self.__matrix[0][0] * self.__matrix[1][1]
															    - self.__matrix[0][1] * self.__matrix[1][0]
															)
											else:
															lowerCAmelCase__      			=						[
															    self.__matrix[0][y] * self.cofactor(0 ,							lowercase__	) for y in range(self.__width	)
															]
															return sum(lowercase__	)





def 	lowerCAmelCase_		(lowercase__						:       int       )		->    List[str]:
				lowerCAmelCase__      			=						[[0] * n for _ in range(SCREAMING_SNAKE_CASE__       )]
				return Matrix(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       )





def 	lowerCAmelCase_		(lowercase__						:       int     ,					lowercase__						:       int     ,					lowercase__						:       int     ,					lowercase__						:       int       )		->    Dict:
				random.seed(SCREAMING_SNAKE_CASE__       )
				lowerCAmelCase__      			=						[
				    [random.randint(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       ) for _ in range(SCREAMING_SNAKE_CASE__       )] for _ in range(SCREAMING_SNAKE_CASE__       )
				]
				return Matrix(SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__     ,					SCREAMING_SNAKE_CASE__       )













from typing import TYPE_CHECKING

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


_UpperCAmelCase			:		Optional[Any]   				=    {
    "configuration_ernie": ["ERNIE_PRETRAINED_CONFIG_ARCHIVE_MAP", "ErnieConfig", "ErnieOnnxConfig"],
}

try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			_UpperCAmelCase			:		Any   				=    [
			    "ERNIE_PRETRAINED_MODEL_ARCHIVE_LIST",
			    "ErnieForCausalLM",
			    "ErnieForMaskedLM",
			    "ErnieForMultipleChoice",
			    "ErnieForNextSentencePrediction",
			    "ErnieForPreTraining",
			    "ErnieForQuestionAnswering",
			    "ErnieForSequenceClassification",
			    "ErnieForTokenClassification",
			    "ErnieModel",
			    "ErniePreTrainedModel",
			]

if TYPE_CHECKING:
			from .configuration_ernie import ERNIE_PRETRAINED_CONFIG_ARCHIVE_MAP, ErnieConfig, ErnieOnnxConfig

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_ernie import (
						    ERNIE_PRETRAINED_MODEL_ARCHIVE_LIST,
						    ErnieForCausalLM,
						    ErnieForMaskedLM,
						    ErnieForMultipleChoice,
						    ErnieForNextSentencePrediction,
						    ErnieForPreTraining,
						    ErnieForQuestionAnswering,
						    ErnieForSequenceClassification,
						    ErnieForTokenClassification,
						    ErnieModel,
						    ErniePreTrainedModel,
						)

else:
			import sys

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





