
from __future__ import annotations

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





class       __A:

					def __init__(	self					:     Optional[Any]   ,					__UpperCamelCase					:     Collection[float] | None = None   ):
												if components is None:
																			lowerCamelCase_							  =					[]
												lowerCamelCase_							  =					list(__UpperCamelCase   )

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

					def __str__(	self					:     Tuple   ):
												return "(" + ",".join(map(__UpperCamelCase   ,					self.__components   )   ) + ")"

					def __add__(	self					:     Any   ,					__UpperCamelCase					:     Vector   ):
												lowerCamelCase_							  =					len(self   )
												if size == len(__UpperCamelCase   ):
																			lowerCamelCase_							  =					[self.__components[i] + other.component(__UpperCamelCase   ) for i in range(__UpperCamelCase   )]
																			return Vector(__UpperCamelCase   )
												else:
																			raise Exception("""must have the same size"""   )

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

					@overload
					def __mul__(	self					:     Dict   ,					__UpperCamelCase					:     float   ):
												...

					@overload
					def __mul__(	self					:     Optional[Any]   ,					__UpperCamelCase					:     Vector   ):
												...

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

					def    lowercase__      (	self					:     str   ):
												return Vector(self.__components   )

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

					def    lowercase__      (	self					:     Dict   ,					__UpperCamelCase					:     int   ,					__UpperCamelCase					:     float   ):
												assert -len(self.__components   ) <= pos < len(self.__components   )
												lowerCamelCase_							  =					value

					def    lowercase__      (	self					:     Optional[Any]   ):
												if len(self.__components   ) == 0:
																			raise Exception("""Vector is empty"""   )
												lowerCamelCase_							  =					[c**2 for c in self.__components]
												return math.sqrt(sum(__UpperCamelCase   )   )



					def    lowercase__      (	self					:     Any   ,					__UpperCamelCase					:     Vector   ,					__UpperCamelCase					:     bool = 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						(							UpperCAmelCase__				:      int       )  ->    Vector:
							assert isinstance(UpperCAmelCase__			,				UpperCAmelCase__       )
							return Vector([0] * dimension       )



def      __lowerCAmelCase						(							UpperCAmelCase__				:      int			,				UpperCAmelCase__				:      int       )  ->    Vector:
							assert isinstance(UpperCAmelCase__			,				UpperCAmelCase__       ) and (isinstance(UpperCAmelCase__			,				UpperCAmelCase__       ))
							lowerCamelCase_							  =					[0] * dimension
							lowerCamelCase_							  =					1
							return Vector(UpperCAmelCase__       )



def      __lowerCAmelCase						(							UpperCAmelCase__				:      float			,				UpperCAmelCase__				:      Vector			,				UpperCAmelCase__				:      Vector       )  ->    Vector:
							assert (
							    isinstance(UpperCAmelCase__			,				UpperCAmelCase__       )
							    and isinstance(UpperCAmelCase__			,				UpperCAmelCase__       )
							    and (isinstance(UpperCAmelCase__			,				(int, float)       ))
							)
							return x * scalar + y



def      __lowerCAmelCase						(							UpperCAmelCase__				:      int			,				UpperCAmelCase__				:      int			,				UpperCAmelCase__				:      int       )  ->    Vector:
							random.seed(UpperCAmelCase__       )
							lowerCamelCase_							  =					[random.randint(UpperCAmelCase__			,				UpperCAmelCase__       ) for _ in range(UpperCAmelCase__       )]
							return Vector(UpperCAmelCase__       )





class       __A:

					def __init__(	self					:     Dict   ,					__UpperCamelCase					:     list[list[float]]   ,					__UpperCamelCase					:     int   ,					__UpperCamelCase					:     int   ):
												lowerCamelCase_							  =					matrix
												lowerCamelCase_							  =					w
												lowerCamelCase_							  =					h

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

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

					@overload
					def __mul__(	self					:     Optional[int]   ,					__UpperCamelCase					:     float   ):
												...

					@overload
					def __mul__(	self					:     List[str]   ,					__UpperCamelCase					:     Vector   ):
												...

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

					def    lowercase__      (	self					:     Any   ):
												return self.__height

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

					def    lowercase__      (	self					:     Optional[int]   ,					__UpperCamelCase					:     int   ,					__UpperCamelCase					:     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    lowercase__      (	self					:     List[str]   ,					__UpperCamelCase					:     int   ,					__UpperCamelCase					:     int   ,					__UpperCamelCase					:     float   ):
												if 0 <= x < self.__height and 0 <= y < self.__width:
																			lowerCamelCase_							  =					value
												else:
																			raise Exception("""change_component: indices out of bounds"""   )

					def    lowercase__      (	self					:     Optional[int]   ,					__UpperCamelCase					:     int   ,					__UpperCamelCase					:     int   ):
												if self.__height != self.__width:
																			raise Exception("""Matrix is not square"""   )
												lowerCamelCase_							  =					self.__matrix[:x] + self.__matrix[x + 1 :]
												for i in range(len(__UpperCamelCase   )   ):
																			lowerCamelCase_							  =					minor[i][:y] + minor[i][y + 1 :]
												return Matrix(__UpperCamelCase   ,					self.__width - 1   ,					self.__height - 1   ).determinant()

					def    lowercase__      (	self					:     Optional[Any]   ,					__UpperCamelCase					:     int   ,					__UpperCamelCase					:     int   ):
												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(__UpperCamelCase   ,					__UpperCamelCase   )
												else:
																			raise Exception("""Indices out of bounds"""   )



					def    lowercase__      (	self					:     Dict   ):
												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   ,					__UpperCamelCase   ) for y in range(self.__width   )
																			]
																			return sum(__UpperCamelCase   )



def      __lowerCAmelCase						(							UpperCAmelCase__				:      int       )  ->    Matrix:
							lowerCamelCase_							  =					[[0] * n for _ in range(UpperCAmelCase__       )]
							return Matrix(UpperCAmelCase__			,				UpperCAmelCase__			,				UpperCAmelCase__       )



def      __lowerCAmelCase						(							UpperCAmelCase__				:      int			,				UpperCAmelCase__				:      int			,				UpperCAmelCase__				:      int			,				UpperCAmelCase__				:      int       )  ->    Matrix:
							random.seed(UpperCAmelCase__       )
							lowerCamelCase_							  =					[
							    [random.randint(UpperCAmelCase__			,				UpperCAmelCase__       ) for _ in range(UpperCAmelCase__       )] for _ in range(UpperCAmelCase__       )
							]
							return Matrix(UpperCAmelCase__			,				UpperCAmelCase__			,				UpperCAmelCase__       )







from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_tf_available,
    is_torch_available,
    is_vision_available,
)


lowercase        =  {'''configuration_deit''': ['''DEIT_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''DeiTConfig''', '''DeiTOnnxConfig''']}

try:
		if not is_vision_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		lowercase        =  ['''DeiTFeatureExtractor''']
		lowercase        =  ['''DeiTImageProcessor''']

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		lowercase        =  [
		    '''DEIT_PRETRAINED_MODEL_ARCHIVE_LIST''',
		    '''DeiTForImageClassification''',
		    '''DeiTForImageClassificationWithTeacher''',
		    '''DeiTForMaskedImageModeling''',
		    '''DeiTModel''',
		    '''DeiTPreTrainedModel''',
		]

try:
		if not is_tf_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		lowercase        =  [
		    '''TF_DEIT_PRETRAINED_MODEL_ARCHIVE_LIST''',
		    '''TFDeiTForImageClassification''',
		    '''TFDeiTForImageClassificationWithTeacher''',
		    '''TFDeiTForMaskedImageModeling''',
		    '''TFDeiTModel''',
		    '''TFDeiTPreTrainedModel''',
		]


if TYPE_CHECKING:
		from .configuration_deit import DEIT_PRETRAINED_CONFIG_ARCHIVE_MAP, DeiTConfig, DeiTOnnxConfig

		try:
				if not is_vision_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .feature_extraction_deit import DeiTFeatureExtractor
				from .image_processing_deit import DeiTImageProcessor

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_deit import (
				    DEIT_PRETRAINED_MODEL_ARCHIVE_LIST,
				    DeiTForImageClassification,
				    DeiTForImageClassificationWithTeacher,
				    DeiTForMaskedImageModeling,
				    DeiTModel,
				    DeiTPreTrainedModel,
				)

		try:
				if not is_tf_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_tf_deit import (
				    TF_DEIT_PRETRAINED_MODEL_ARCHIVE_LIST,
				    TFDeiTForImageClassification,
				    TFDeiTForImageClassificationWithTeacher,
				    TFDeiTForMaskedImageModeling,
				    TFDeiTModel,
				    TFDeiTPreTrainedModel,
				)


else:
		import sys

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





