
from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload




class  lowerCamelCase__							:




	'''simple docstring'''




	def __init__(					self		:Optional[int]     ,   a		:Collection[float] | None = None						)		-> None:
								if components is None:
															__UpperCamelCase	:   Dict			   =					[]
								__UpperCamelCase	:   List[str]			   =					list(a						)







	def __len__(					self		:Optional[int]						)		-> int:
								return len(self.__components						)







	def __str__(					self		:Tuple						)		-> str:
								return "(" + ",".join(map(a     ,   self.__components						)						) + ")"







	def __add__(					self		:List[str]     ,   a		:Vector						)		-> Vector:
								__UpperCamelCase	:   Optional[int]			   =					len(self						)
								if size == len(a						):
															__UpperCamelCase	:   Tuple			   =					[self.__components[i] + other.component(a						) for i in range(a						)]
															return Vector(a						)
								else:
															raise Exception("must have the same size"						)







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







	@overload
	def __mul__(					self		:Optional[int]     ,   a		:float						)		-> Vector:
								...







	@overload
	def __mul__(					self		:Tuple     ,   a		:Vector						)		-> float:
								...







	def __mul__(					self		:str     ,   a		:float | Vector						)		-> float | Vector:
								if isinstance(a     ,   (float, int)						):
															__UpperCamelCase	:   List[str]			   =					[c * other for c in self.__components]
															return Vector(a						)
								elif isinstance(a     ,   a						) and len(self						) == len(a						):
															__UpperCamelCase	:   List[str]			   =					len(self						)
															__UpperCamelCase	:   List[str]			   =					[self.__components[i] * other.component(a						) for i in range(a						)]
															return sum(a						)
								else:  # error case
															raise Exception("invalid operand!"						)







	def    _lowerCamelCase				(					self		:Optional[int]						)		-> Vector:
								return Vector(self.__components						)







	def    _lowerCamelCase				(					self		:Tuple     ,   a		:int						)		-> float:
								if isinstance(a     ,   a						) and -len(self.__components						) <= i < len(self.__components						):
															return self.__components[i]
								else:
															raise Exception("index out of range"						)







	def    _lowerCamelCase				(					self		:Optional[int]     ,   a		:int     ,   a		:float						)		-> None:
								assert -len(self.__components						) <= pos < len(self.__components						)
								__UpperCamelCase	:   int			   =					value







	def    _lowerCamelCase				(					self		:int						)		-> float:
								if len(self.__components						) == 0:
															raise Exception("Vector is empty"						)
								__UpperCamelCase	:   List[Any]			   =					[c**2 for c in self.__components]
								return math.sqrt(sum(a						)						)







	def    _lowerCamelCase				(					self		:Dict     ,   a		:Vector     ,   a		:bool = False						)		-> float:
								__UpperCamelCase	:   List[str]			   =					self * other
								__UpperCamelCase	:   str			   =					self.euclidean_length() * other.euclidean_length()
								if deg:
															return math.degrees(math.acos(num / den						)						)
								else:
															return math.acos(num / den						)




def 	_SCREAMING_SNAKE_CASE					(		_lowerCamelCase :			int)					->    Vector:






							'''simple docstring'''





							assert isinstance(_lowerCamelCase						,  _lowerCamelCase)
							return Vector([0] * dimension)




def 	_SCREAMING_SNAKE_CASE					(		_lowerCamelCase :			int						,  _lowerCamelCase :			int)					->    Vector:






							'''simple docstring'''





							assert isinstance(_lowerCamelCase						,  _lowerCamelCase) and (isinstance(_lowerCamelCase						,  _lowerCamelCase))
							__UpperCamelCase	:   List[Any]			   =					[0] * dimension
							__UpperCamelCase	:   Optional[Any]			   =					1
							return Vector(_lowerCamelCase)




def 	_SCREAMING_SNAKE_CASE					(		_lowerCamelCase :			float						,  _lowerCamelCase :			Vector						,  _lowerCamelCase :			Vector)					->    Vector:






							'''simple docstring'''





							assert (
							    isinstance(_lowerCamelCase						,  _lowerCamelCase)
							    and isinstance(_lowerCamelCase						,  _lowerCamelCase)
							    and (isinstance(_lowerCamelCase						,  (int, float)))
							)
							return x * scalar + y




def 	_SCREAMING_SNAKE_CASE					(		_lowerCamelCase :			int						,  _lowerCamelCase :			int						,  _lowerCamelCase :			int)					->    Vector:






							'''simple docstring'''





							random.seed(_lowerCamelCase)
							__UpperCamelCase	:   Optional[int]			   =					[random.randint(_lowerCamelCase						,  _lowerCamelCase) for _ in range(_lowerCamelCase)]
							return Vector(_lowerCamelCase)




class  lowerCamelCase__							:




	'''simple docstring'''




	def __init__(					self		:Dict     ,   a		:list[list[float]]     ,   a		:int     ,   a		:int						)		-> None:
								__UpperCamelCase	:   Any			   =					matrix
								__UpperCamelCase	:   Optional[Any]			   =					w
								__UpperCamelCase	:   Optional[Any]			   =					h







	def __str__(					self		:Optional[Any]						)		-> str:
								__UpperCamelCase	:   Any			   =					""
								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		:Any     ,   a		:Matrix						)		-> Matrix:
								if self.__width == other.width() and self.__height == other.height():
															__UpperCamelCase	:   str			   =					[]
															for i in range(self.__height						):
																						__UpperCamelCase	:   Any			   =					[
																						    self.__matrix[i][j] + other.component(a     ,   a						)
																						    for j in range(self.__width						)
																						]
																						matrix.append(a						)
															return Matrix(a     ,   self.__width     ,   self.__height						)
								else:
															raise Exception("matrix must have the same dimension!"						)







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







	@overload
	def __mul__(					self		:Optional[Any]     ,   a		:float						)		-> Matrix:
								...







	@overload
	def __mul__(					self		:str     ,   a		:Vector						)		-> Vector:
								...







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







	def    _lowerCamelCase				(					self		:int						)		-> int:
								return self.__height







	def    _lowerCamelCase				(					self		:int						)		-> int:
								return self.__width







	def    _lowerCamelCase				(					self		:str     ,   a		:int     ,   a		:int						)		-> float:
								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    _lowerCamelCase				(					self		:List[str]     ,   a		:int     ,   a		:int     ,   a		:float						)		-> None:
								if 0 <= x < self.__height and 0 <= y < self.__width:
															__UpperCamelCase	:   Optional[Any]			   =					value
								else:
															raise Exception("change_component: indices out of bounds"						)







	def    _lowerCamelCase				(					self		:Any     ,   a		:int     ,   a		:int						)		-> float:
								if self.__height != self.__width:
															raise Exception("Matrix is not square"						)
								__UpperCamelCase	:   List[str]			   =					self.__matrix[:x] + self.__matrix[x + 1 :]
								for i in range(len(a						)						):
															__UpperCamelCase	:   List[str]			   =					minor[i][:y] + minor[i][y + 1 :]
								return Matrix(a     ,   self.__width - 1     ,   self.__height - 1						).determinant()







	def    _lowerCamelCase				(					self		:str     ,   a		:int     ,   a		:int						)		-> float:
								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(a     ,   a						)
								else:
															raise Exception("Indices out of bounds"						)







	def    _lowerCamelCase				(					self		:Optional[Any]						)		-> float:
								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:
															__UpperCamelCase	:   Any			   =					[
															    self.__matrix[0][y] * self.cofactor(0     ,   a						) for y in range(self.__width						)
															]
															return sum(a						)




def 	_SCREAMING_SNAKE_CASE					(		_lowerCamelCase :			int)					->    Matrix:






							'''simple docstring'''





							__UpperCamelCase	:   list[list[float]]			   =					[[0] * n for _ in range(_lowerCamelCase)]
							return Matrix(_lowerCamelCase						,  _lowerCamelCase						,  _lowerCamelCase)




def 	_SCREAMING_SNAKE_CASE					(		_lowerCamelCase :			int						,  _lowerCamelCase :			int						,  _lowerCamelCase :			int						,  _lowerCamelCase :			int)					->    Matrix:






							'''simple docstring'''





							random.seed(_lowerCamelCase)
							__UpperCamelCase	:   list[list[float]]			   =					[
							    [random.randint(_lowerCamelCase						,  _lowerCamelCase) for _ in range(_lowerCamelCase)] for _ in range(_lowerCamelCase)
							]
							return Matrix(_lowerCamelCase						,  _lowerCamelCase						,  _lowerCamelCase)

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowercase  :					List[str]													=       {'configuration_vit_msn': ['VIT_MSN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'ViTMSNConfig']}

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		lowercase  :					Optional[Any]													=       [
		    'VIT_MSN_PRETRAINED_MODEL_ARCHIVE_LIST',
		    'ViTMSNModel',
		    'ViTMSNForImageClassification',
		    'ViTMSNPreTrainedModel',
		]

if TYPE_CHECKING:
		from .configuration_vit_msn import VIT_MSN_PRETRAINED_CONFIG_ARCHIVE_MAP, ViTMSNConfig

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_vit_msn import (
				    VIT_MSN_PRETRAINED_MODEL_ARCHIVE_LIST,
				    ViTMSNForImageClassification,
				    ViTMSNModel,
				    ViTMSNPreTrainedModel,
				)

else:
		import sys

		lowercase  :					Optional[Any]													=       _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)