





from __future__ import annotations

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




class 			__UpperCamelCase    :





     def __init__(     self				,							_UpperCamelCase = None					):
        if components is None:
           _UpperCAmelCase           =   []
        _UpperCAmelCase           =   list(_UpperCamelCase					)





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





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





     def __add__(     self				,							_UpperCamelCase					):
        _UpperCAmelCase           =   len(self					)
        if size == len(_UpperCamelCase					):
           _UpperCAmelCase           =   [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				,							_UpperCamelCase					):
        _UpperCAmelCase           =   len(self					)
        if size == len(_UpperCamelCase					):
           _UpperCAmelCase           =   [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				,							_UpperCamelCase					):
        ...





     @overload
     def __mul__(     self				,							_UpperCamelCase					):
        ...





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





     def 		UpperCamelCase(     self					):
        return Vector(self.__components					)





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





     def 		UpperCamelCase(     self				,							_UpperCamelCase				,							_UpperCamelCase					):
        assert -len(self.__components					) <= pos < len(self.__components					)
        _UpperCAmelCase           =   value





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





     def 		UpperCamelCase(     self				,							_UpperCamelCase				,							_UpperCamelCase = False					):
        _UpperCAmelCase           =   self * other
        _UpperCAmelCase           =   self.euclidean_length() * other.euclidean_length()
        if deg:
           return math.degrees(math.acos(num / den					)					)
        else:
           return math.acos(num / den					)




def      A__       (    SCREAMING_SNAKE_CASE_   :      int						)  ->  Vector:






   """simple docstring"""







   assert isinstance(SCREAMING_SNAKE_CASE_				,	SCREAMING_SNAKE_CASE_						)
   return Vector([0] * dimension						)
def      A__       (    SCREAMING_SNAKE_CASE_   :      int				,	SCREAMING_SNAKE_CASE_   :      int						)  ->  Vector:






   """simple docstring"""







   assert isinstance(SCREAMING_SNAKE_CASE_				,	SCREAMING_SNAKE_CASE_						) and (isinstance(SCREAMING_SNAKE_CASE_				,	SCREAMING_SNAKE_CASE_						))
   _UpperCAmelCase           =   [0] * dimension
   _UpperCAmelCase           =   1
   return Vector(SCREAMING_SNAKE_CASE_						)
def      A__       (    SCREAMING_SNAKE_CASE_   :      float				,	SCREAMING_SNAKE_CASE_   :      Vector				,	SCREAMING_SNAKE_CASE_   :      Vector						)  ->  Vector:






   """simple docstring"""







   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      A__       (    SCREAMING_SNAKE_CASE_   :      int				,	SCREAMING_SNAKE_CASE_   :      int				,	SCREAMING_SNAKE_CASE_   :      int						)  ->  Vector:






   """simple docstring"""







   random.seed(SCREAMING_SNAKE_CASE_						)
   _UpperCAmelCase           =   [random.randint(SCREAMING_SNAKE_CASE_				,	SCREAMING_SNAKE_CASE_						) for _ in range(SCREAMING_SNAKE_CASE_						)]
   return Vector(SCREAMING_SNAKE_CASE_						)




class 			__UpperCamelCase    :





     def __init__(     self				,							_UpperCamelCase				,							_UpperCamelCase				,							_UpperCamelCase					):
        _UpperCAmelCase           =   matrix
        _UpperCAmelCase           =   w
        _UpperCAmelCase           =   h





     def __str__(     self					):
        _UpperCAmelCase           =   ''''''
        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				,							_UpperCamelCase					):
        if self.__width == other.width() and self.__height == other.height():
           _UpperCAmelCase           =   []
           for i in range(self.__height					):
              _UpperCAmelCase           =   [
                  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				,							_UpperCamelCase					):
        if self.__width == other.width() and self.__height == other.height():
           _UpperCAmelCase           =   []
           for i in range(self.__height					):
              _UpperCAmelCase           =   [
                  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				,							_UpperCamelCase					):
        ...





     @overload
     def __mul__(     self				,							_UpperCamelCase					):
        ...





     def __mul__(     self				,							_UpperCamelCase					):
        if isinstance(_UpperCamelCase				,							_UpperCamelCase					):  # matrix-vector
           if len(_UpperCamelCase					) == self.__width:
              _UpperCAmelCase           =   zero_vector(self.__height					)
              for i in range(self.__height					):
                 _UpperCAmelCase           =   [
                     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           =   [
               [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 		UpperCamelCase(     self					):
        return self.__height





     def 		UpperCamelCase(     self					):
        return self.__width





     def 		UpperCamelCase(     self				,							_UpperCamelCase				,							_UpperCamelCase					):
        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 		UpperCamelCase(     self				,							_UpperCamelCase				,							_UpperCamelCase				,							_UpperCamelCase					):
        if 0 <= x < self.__height and 0 <= y < self.__width:
           _UpperCAmelCase           =   value
        else:
           raise Exception('''change_component: indices out of bounds'''					)





     def 		UpperCamelCase(     self				,							_UpperCamelCase				,							_UpperCamelCase					):
        if self.__height != self.__width:
           raise Exception('''Matrix is not square'''					)
        _UpperCAmelCase           =   self.__matrix[:x] + self.__matrix[x + 1 :]
        for i in range(len(_UpperCamelCase					)					):
           _UpperCAmelCase           =   minor[i][:y] + minor[i][y + 1 :]
        return Matrix(_UpperCamelCase				,							self.__width - 1				,							self.__height - 1					).determinant()





     def 		UpperCamelCase(     self				,							_UpperCamelCase				,							_UpperCamelCase					):
        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 		UpperCamelCase(     self					):
        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           =   [
               self.__matrix[0][y] * self.cofactor(0				,							_UpperCamelCase					) for y in range(self.__width					)
           ]
           return sum(_UpperCamelCase					)




def      A__       (    SCREAMING_SNAKE_CASE_   :      int						)  ->  Matrix:






   """simple docstring"""







   _UpperCAmelCase           =   [[0] * n for _ in range(SCREAMING_SNAKE_CASE_						)]
   return Matrix(SCREAMING_SNAKE_CASE_				,	SCREAMING_SNAKE_CASE_				,	SCREAMING_SNAKE_CASE_						)
def      A__       (    SCREAMING_SNAKE_CASE_   :      int				,	SCREAMING_SNAKE_CASE_   :      int				,	SCREAMING_SNAKE_CASE_   :      int				,	SCREAMING_SNAKE_CASE_   :      int						)  ->  Matrix:






   """simple docstring"""







   random.seed(SCREAMING_SNAKE_CASE_						)
   _UpperCAmelCase           =   [
       [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 List, Optional, Union

from ...processing_utils import ProcessorMixin
from ...tokenization_utils_base import BatchEncoding, PaddingStrategy, PreTokenizedInput, TextInput, TruncationStrategy
from ...utils import TensorType




class 			__UpperCamelCase    (							A__    ):
     __A	:  Dict							  =   ["""image_processor""", """tokenizer"""]
     __A	:  List[str]							  =   """BridgeTowerImageProcessor"""
     __A	:  str							  =   ("""RobertaTokenizer""", """RobertaTokenizerFast""")





     def __init__(     self				,							_UpperCamelCase				,							_UpperCamelCase					):
        super().__init__(_UpperCamelCase				,							_UpperCamelCase					)





     def __call__(     self				,							_UpperCamelCase				,							_UpperCamelCase = None				,							_UpperCamelCase = True				,							_UpperCamelCase = False				,							_UpperCamelCase = None				,							_UpperCamelCase = None				,							_UpperCamelCase = 0				,							_UpperCamelCase = None				,							_UpperCamelCase = None				,							_UpperCamelCase = None				,							_UpperCamelCase = False				,							_UpperCamelCase = False				,							_UpperCamelCase = False				,							_UpperCamelCase = False				,							_UpperCamelCase = True				,							_UpperCamelCase = None				,							**_UpperCamelCase				,							):
        _UpperCAmelCase           =   self.tokenizer(
            text=_UpperCamelCase				,							add_special_tokens=_UpperCamelCase				,							padding=_UpperCamelCase				,							truncation=_UpperCamelCase				,							max_length=_UpperCamelCase				,							stride=_UpperCamelCase				,							pad_to_multiple_of=_UpperCamelCase				,							return_token_type_ids=_UpperCamelCase				,							return_attention_mask=_UpperCamelCase				,							return_overflowing_tokens=_UpperCamelCase				,							return_special_tokens_mask=_UpperCamelCase				,							return_offsets_mapping=_UpperCamelCase				,							return_length=_UpperCamelCase				,							verbose=_UpperCamelCase				,							return_tensors=_UpperCamelCase				,							**_UpperCamelCase				,							)
        # add pixel_values + pixel_mask
        _UpperCAmelCase           =   self.image_processor(
            _UpperCamelCase				,							return_tensors=_UpperCamelCase				,							do_normalize=_UpperCamelCase				,							do_center_crop=_UpperCamelCase				,							**_UpperCamelCase					)
        encoding.update(_UpperCamelCase					)

        return encoding





     def 		UpperCamelCase(     self				,							*_UpperCamelCase				,							**_UpperCamelCase					):
        return self.tokenizer.batch_decode(*_UpperCamelCase				,							**_UpperCamelCase					)





     def 		UpperCamelCase(     self				,							*_UpperCamelCase				,							**_UpperCamelCase					):
        return self.tokenizer.decode(*_UpperCamelCase				,							**_UpperCamelCase					)





     @property
     def 		UpperCamelCase(     self					):
        _UpperCAmelCase           =   self.tokenizer.model_input_names
        _UpperCAmelCase           =   self.image_processor.model_input_names
        return list(dict.fromkeys(tokenizer_input_names + image_processor_input_names					)					)