from __future__ import annotations

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


class 				_lowercase	:
      '''simple docstring'''


      def __init__(				self					,lowerCamelCase_ = None							)			->			None:



         '''simple docstring'''



         if components is None:
            UpperCAmelCase__							:				Optional[int]   				=  []
         UpperCAmelCase__							:				Dict   				=  list(UpperCamelCase__							)




      def __len__(				self							)			->			int:



         '''simple docstring'''



         return len(self.__components							)




      def __str__(				self							)			->			str:



         '''simple docstring'''



         return "(" + ",".join(map(UpperCamelCase__					,self.__components							)							) + ")"




      def __add__(				self					,lowerCamelCase_							)			->			Vector:



         '''simple docstring'''



         UpperCAmelCase__							:				str   				=  len(self							)
         if size == len(UpperCamelCase__							):
            UpperCAmelCase__							:				Any   				=  [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					,lowerCamelCase_							)			->			Vector:



         '''simple docstring'''



         UpperCAmelCase__							:				str   				=  len(self							)
         if size == len(UpperCamelCase__							):
            UpperCAmelCase__							:				Union[str, Any]   				=  [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					,lowerCamelCase_							)			->			Vector:



         '''simple docstring'''



         ...




      @overload
      def __mul__(				self					,lowerCamelCase_							)			->			float:



         '''simple docstring'''



         ...




      def __mul__(				self					,lowerCamelCase_							)			->			float | Vector:



         '''simple docstring'''



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




      def 		lowerCAmelCase__					(				self							)			->			Vector:



         '''simple docstring'''



         return Vector(self.__components							)




      def 		lowerCAmelCase__					(				self					,lowerCamelCase_							)			->			float:



         '''simple docstring'''



         if isinstance(UpperCamelCase__					,UpperCamelCase__							) and -len(self.__components							) <= i < len(self.__components							):
            return self.__components[i]
         else:
            raise Exception('''index out of range'''							)




      def 		lowerCAmelCase__					(				self					,lowerCamelCase_					,lowerCamelCase_							)			->			None:



         '''simple docstring'''



         assert -len(self.__components							) <= pos < len(self.__components							)
         UpperCAmelCase__							:				Optional[Any]   				=  value




      def 		lowerCAmelCase__					(				self							)			->			float:



         '''simple docstring'''



         if len(self.__components							) == 0:
            raise Exception('''Vector is empty'''							)
         UpperCAmelCase__							:				Union[str, Any]   				=  [c**2 for c in self.__components]
         return math.sqrt(sum(UpperCamelCase__							)							)




      def 		lowerCAmelCase__					(				self					,lowerCamelCase_					,lowerCamelCase_ = False							)			->			float:



         '''simple docstring'''



         UpperCAmelCase__							:				int   				=  self * other
         UpperCAmelCase__							:				Any   				=  self.euclidean_length() * other.euclidean_length()
         if deg:
            return math.degrees(math.acos(num / den							)							)
         else:
            return math.acos(num / den							)







def __UpperCamelCase(   _A					:				Optional[int]    ):
   '''simple docstring'''
   assert isinstance(A_  ,			A_    )
   return Vector([0] * dimension    )







def __UpperCamelCase(   _A					:				Union[str, Any]  ,			_A					:				Union[str, Any]    ):
   '''simple docstring'''
   assert isinstance(A_  ,			A_    ) and (isinstance(A_  ,			A_    ))
   UpperCAmelCase__							:				int   				=  [0] * dimension
   UpperCAmelCase__							:				Any   				=  1
   return Vector(A_    )







def __UpperCamelCase(   _A					:				Dict  ,			_A					:				Any  ,			_A					:				Any    ):
   '''simple docstring'''
   assert (
       isinstance(A_  ,			A_    )
       and isinstance(A_  ,			A_    )
       and (isinstance(A_  ,			(int, float)    ))
   )
   return x * scalar + y







def __UpperCamelCase(   _A					:				List[Any]  ,			_A					:				Any  ,			_A					:				Union[str, Any]    ):
   '''simple docstring'''
   random.seed(A_    )
   UpperCAmelCase__							:				Union[str, Any]   				=  [random.randint(A_  ,			A_    ) for _ in range(A_    )]
   return Vector(A_    )


class 				_lowercase	:
      '''simple docstring'''


      def __init__(				self					,lowerCamelCase_					,lowerCamelCase_					,lowerCamelCase_							)			->			None:



         '''simple docstring'''



         UpperCAmelCase__							:				Union[str, Any]   				=  matrix
         UpperCAmelCase__							:				int   				=  w
         UpperCAmelCase__							:				Union[str, Any]   				=  h




      def __str__(				self							)			->			str:



         '''simple docstring'''



         UpperCAmelCase__							:				List[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					,lowerCamelCase_							)			->			Matrix:



         '''simple docstring'''



         if self.__width == other.width() and self.__height == other.height():
            UpperCAmelCase__							:				Optional[Any]   				=  []
            for i in range(self.__height							):
               UpperCAmelCase__							:				Any   				=  [
                   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					,lowerCamelCase_							)			->			Matrix:



         '''simple docstring'''



         if self.__width == other.width() and self.__height == other.height():
            UpperCAmelCase__							:				Any   				=  []
            for i in range(self.__height							):
               UpperCAmelCase__							:				Optional[Any]   				=  [
                   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					,lowerCamelCase_							)			->			Matrix:



         '''simple docstring'''



         ...




      @overload
      def __mul__(				self					,lowerCamelCase_							)			->			Vector:



         '''simple docstring'''



         ...




      def __mul__(				self					,lowerCamelCase_							)			->			Vector | Matrix:



         '''simple docstring'''



         if isinstance(UpperCamelCase__					,UpperCamelCase__							):  # matrix-vector
            if len(UpperCamelCase__							) == self.__width:
               UpperCAmelCase__							:				Optional[int]   				=  zero_vector(self.__height							)
               for i in range(self.__height							):
                  UpperCAmelCase__							:				Tuple   				=  [
                      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
            UpperCAmelCase__							:				List[Any]   				=  [
                [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 		lowerCAmelCase__					(				self							)			->			int:



         '''simple docstring'''



         return self.__height




      def 		lowerCAmelCase__					(				self							)			->			int:



         '''simple docstring'''



         return self.__width




      def 		lowerCAmelCase__					(				self					,lowerCamelCase_					,lowerCamelCase_							)			->			float:



         '''simple docstring'''



         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					,lowerCamelCase_					,lowerCamelCase_					,lowerCamelCase_							)			->			None:



         '''simple docstring'''



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




      def 		lowerCAmelCase__					(				self					,lowerCamelCase_					,lowerCamelCase_							)			->			float:



         '''simple docstring'''



         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(UpperCamelCase__							)							):
            UpperCAmelCase__							:				str   				=  minor[i][:y] + minor[i][y + 1 :]
         return Matrix(UpperCamelCase__					,self.__width - 1					,self.__height - 1							).determinant()




      def 		lowerCAmelCase__					(				self					,lowerCamelCase_					,lowerCamelCase_							)			->			float:



         '''simple docstring'''



         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 		lowerCAmelCase__					(				self							)			->			float:



         '''simple docstring'''



         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__							:				int   				=  [
                self.__matrix[0][y] * self.cofactor(0					,UpperCamelCase__							) for y in range(self.__width							)
            ]
            return sum(UpperCamelCase__							)







def __UpperCamelCase(   _A					:				Any    ):
   '''simple docstring'''
   UpperCAmelCase__							:				Tuple   				=  [[0] * n for _ in range(A_    )]
   return Matrix(A_  ,			A_  ,			A_    )







def __UpperCamelCase(   _A					:				Any  ,			_A					:				Dict  ,			_A					:				Dict  ,			_A					:				Union[str, Any]    ):
   '''simple docstring'''
   random.seed(A_    )
   UpperCAmelCase__							:				str   				=  [
       [random.randint(A_  ,			A_    ) for _ in range(A_    )] for _ in range(A_    )
   ]
   return Matrix(A_  ,			A_  ,			A_    )





'''simple docstring'''

from typing import TYPE_CHECKING

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


UpperCamelCase__     :	List[Any]				=			{'configuration_yolos': ['YOLOS_PRETRAINED_CONFIG_ARCHIVE_MAP', 'YolosConfig', 'YolosOnnxConfig']}

try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase__     :	int				=			['YolosFeatureExtractor']
  UpperCamelCase__     :	int				=			['YolosImageProcessor']

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase__     :	int				=			[
      'YOLOS_PRETRAINED_MODEL_ARCHIVE_LIST',
      'YolosForObjectDetection',
      'YolosModel',
      'YolosPreTrainedModel',
  ]


if TYPE_CHECKING:
  from .configuration_yolos import YOLOS_PRETRAINED_CONFIG_ARCHIVE_MAP, YolosConfig, YolosOnnxConfig

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .feature_extraction_yolos import YolosFeatureExtractor
    from .image_processing_yolos import YolosImageProcessor

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_yolos import (
        YOLOS_PRETRAINED_MODEL_ARCHIVE_LIST,
        YolosForObjectDetection,
        YolosModel,
        YolosPreTrainedModel,
    )


else:
  import sys

  UpperCamelCase__     :	int				=			_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)




