

'''simple docstring'''

from __future__ import annotations

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




class 	A_			:






     '''simple docstring'''



     def __init__(		self			:					Optional[int]					,      lowercase_			:					Collection[float] | None = None	)						->     None:
      if components is None:
       UpperCAmelCase	:     Optional[int]						 =			[]
      UpperCAmelCase	:     Optional[int]						 =			list(lowercase_	)


     def __len__(		self			:					Any	)						->     int:
      return len(self.__components	)


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


     def __add__(		self			:					Optional[int]					,      lowercase_			:					Vector	)						->     Vector:
      UpperCAmelCase	:     str						 =			len(self	)
      if size == len(lowercase_	):
       UpperCAmelCase	:     Dict						 =			[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			:					Union[str, Any]					,      lowercase_			:					Vector	)						->     Vector:
      UpperCAmelCase	:     int						 =			len(self	)
      if size == len(lowercase_	):
       UpperCAmelCase	:     Optional[Any]						 =			[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			:					Any					,      lowercase_			:					float	)						->     Vector:
      ...


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


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


     def        UpperCAmelCase_	(		self			:					List[str]	)						->     Vector:
      return Vector(self.__components	)


     def        UpperCAmelCase_	(		self			:					Dict					,      lowercase_			:					int	)						->     float:
      if isinstance(lowercase_					,      lowercase_	) and -len(self.__components	) <= i < len(self.__components	):
       return self.__components[i]
      else:
       raise Exception('index out of range'	)


     def        UpperCAmelCase_	(		self			:					Optional[int]					,      lowercase_			:					int					,      lowercase_			:					float	)						->     None:
      assert -len(self.__components	) <= pos < len(self.__components	)
      UpperCAmelCase	:     List[str]						 =			value


     def        UpperCAmelCase_	(		self			:					Optional[Any]	)						->     float:
      if len(self.__components	) == 0:
       raise Exception('Vector is empty'	)
      UpperCAmelCase	:     int						 =			[c**2 for c in self.__components]
      return math.sqrt(sum(lowercase_	)	)




     def        UpperCAmelCase_	(		self			:					int					,      lowercase_			:					Vector					,      lowercase_			:					bool = False	)						->     float:
      UpperCAmelCase	:     Dict						 =			self * other
      UpperCAmelCase	:     Optional[int]						 =			self.euclidean_length() * other.euclidean_length()
      if deg:
       return math.degrees(math.acos(num / den	)	)
      else:
       return math.acos(num / den	)




def 				UpperCamelCase(					UpperCAmelCase_     ):
 assert isinstance(UpperCAmelCase_  ,	UpperCAmelCase_     )
 return Vector([0] * dimension     )




def 				UpperCamelCase(					UpperCAmelCase_  ,	UpperCAmelCase_     ):
 assert isinstance(UpperCAmelCase_  ,	UpperCAmelCase_     ) and (isinstance(UpperCAmelCase_  ,	UpperCAmelCase_     ))
 UpperCAmelCase	:     int						 =			[0] * dimension
 UpperCAmelCase	:     Any						 =			1
 return Vector(UpperCAmelCase_     )




def 				UpperCamelCase(					UpperCAmelCase_  ,	UpperCAmelCase_  ,	UpperCAmelCase_     ):
 assert (
     isinstance(UpperCAmelCase_  ,	UpperCAmelCase_     )
     and isinstance(UpperCAmelCase_  ,	UpperCAmelCase_     )
     and (isinstance(UpperCAmelCase_  ,	(int, float)     ))
 )
 return x * scalar + y




def 				UpperCamelCase(					UpperCAmelCase_  ,	UpperCAmelCase_  ,	UpperCAmelCase_     ):
 random.seed(UpperCAmelCase_     )
 UpperCAmelCase	:     int						 =			[random.randint(UpperCAmelCase_  ,	UpperCAmelCase_     ) for _ in range(UpperCAmelCase_     )]
 return Vector(UpperCAmelCase_     )




class 	A_			:






     '''simple docstring'''



     def __init__(		self			:					str					,      lowercase_			:					list[list[float]]					,      lowercase_			:					int					,      lowercase_			:					int	)						->     None:
      UpperCAmelCase	:     str						 =			matrix
      UpperCAmelCase	:     Union[str, Any]						 =			w
      UpperCAmelCase	:     int						 =			h


     def __str__(		self			:					List[Any]	)						->     str:
      UpperCAmelCase	:     List[str]						 =			''
      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			:					int					,      lowercase_			:					Matrix	)						->     Matrix:
      if self.__width == other.width() and self.__height == other.height():
       UpperCAmelCase	:     Optional[Any]						 =			[]
       for i in range(self.__height	):
        UpperCAmelCase	:     str						 =			[
            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			:					Dict					,      lowercase_			:					Matrix	)						->     Matrix:
      if self.__width == other.width() and self.__height == other.height():
       UpperCAmelCase	:     List[str]						 =			[]
       for i in range(self.__height	):
        UpperCAmelCase	:     List[Any]						 =			[
            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			:					str					,      lowercase_			:					float	)						->     Matrix:
      ...


     @overload
     def __mul__(		self			:					List[Any]					,      lowercase_			:					Vector	)						->     Vector:
      ...


     def __mul__(		self			:					List[str]					,      lowercase_			:					float | Vector	)						->     Vector | Matrix:
      if isinstance(lowercase_					,      lowercase_	):  # matrix-vector
       if len(lowercase_	) == self.__width:
        UpperCAmelCase	:     Union[str, Any]						 =			zero_vector(self.__height	)
        for i in range(self.__height	):
         UpperCAmelCase	:     str						 =			[
             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
       UpperCAmelCase	:     str						 =			[
           [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        UpperCAmelCase_	(		self			:					Union[str, Any]	)						->     int:
      return self.__height


     def        UpperCAmelCase_	(		self			:					str	)						->     int:
      return self.__width


     def        UpperCAmelCase_	(		self			:					Dict					,      lowercase_			:					int					,      lowercase_			:					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        UpperCAmelCase_	(		self			:					Union[str, Any]					,      lowercase_			:					int					,      lowercase_			:					int					,      lowercase_			:					float	)						->     None:
      if 0 <= x < self.__height and 0 <= y < self.__width:
       UpperCAmelCase	:     Optional[int]						 =			value
      else:
       raise Exception('change_component: indices out of bounds'	)


     def        UpperCAmelCase_	(		self			:					Optional[Any]					,      lowercase_			:					int					,      lowercase_			:					int	)						->     float:
      if self.__height != self.__width:
       raise Exception('Matrix is not square'	)
      UpperCAmelCase	:     Optional[Any]						 =			self.__matrix[:x] + self.__matrix[x + 1 :]
      for i in range(len(lowercase_	)	):
       UpperCAmelCase	:     List[Any]						 =			minor[i][:y] + minor[i][y + 1 :]
      return Matrix(lowercase_					,      self.__width - 1					,      self.__height - 1	).determinant()


     def        UpperCAmelCase_	(		self			:					Dict					,      lowercase_			:					int					,      lowercase_			:					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(lowercase_					,      lowercase_	)
      else:
       raise Exception('Indices out of bounds'	)




     def        UpperCAmelCase_	(		self			:					Optional[int]	)						->     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	:     Union[str, Any]						 =			[
           self.__matrix[0][y] * self.cofactor(0					,      lowercase_	) for y in range(self.__width	)
       ]
       return sum(lowercase_	)




def 				UpperCamelCase(					UpperCAmelCase_     ):
 UpperCAmelCase	:     list[list[float]]						 =			[[0] * n for _ in range(UpperCAmelCase_     )]
 return Matrix(UpperCAmelCase_  ,	UpperCAmelCase_  ,	UpperCAmelCase_     )




def 				UpperCamelCase(					UpperCAmelCase_  ,	UpperCAmelCase_  ,	UpperCAmelCase_  ,	UpperCAmelCase_     ):
 random.seed(UpperCAmelCase_     )
 UpperCAmelCase	:     list[list[float]]						 =			[
     [random.randint(UpperCAmelCase_  ,	UpperCAmelCase_     ) for _ in range(UpperCAmelCase_     )] for _ in range(UpperCAmelCase_     )
 ]
 return Matrix(UpperCAmelCase_  ,	UpperCAmelCase_  ,	UpperCAmelCase_     )







'''simple docstring'''

from typing import TYPE_CHECKING

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


lowercase__         =      {
    "configuration_xlm": ["XLM_PRETRAINED_CONFIG_ARCHIVE_MAP", "XLMConfig", "XLMOnnxConfig"],
    "tokenization_xlm": ["XLMTokenizer"],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase__         =      [
     "XLM_PRETRAINED_MODEL_ARCHIVE_LIST",
     "XLMForMultipleChoice",
     "XLMForQuestionAnswering",
     "XLMForQuestionAnsweringSimple",
     "XLMForSequenceClassification",
     "XLMForTokenClassification",
     "XLMModel",
     "XLMPreTrainedModel",
     "XLMWithLMHeadModel",
 ]

try:
 if not is_tf_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase__         =      [
     "TF_XLM_PRETRAINED_MODEL_ARCHIVE_LIST",
     "TFXLMForMultipleChoice",
     "TFXLMForQuestionAnsweringSimple",
     "TFXLMForSequenceClassification",
     "TFXLMForTokenClassification",
     "TFXLMMainLayer",
     "TFXLMModel",
     "TFXLMPreTrainedModel",
     "TFXLMWithLMHeadModel",
 ]


if TYPE_CHECKING:
 from .configuration_xlm import XLM_PRETRAINED_CONFIG_ARCHIVE_MAP, XLMConfig, XLMOnnxConfig
 from .tokenization_xlm import XLMTokenizer

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_xlm import (
      XLM_PRETRAINED_MODEL_ARCHIVE_LIST,
      XLMForMultipleChoice,
      XLMForQuestionAnswering,
      XLMForQuestionAnsweringSimple,
      XLMForSequenceClassification,
      XLMForTokenClassification,
      XLMModel,
      XLMPreTrainedModel,
      XLMWithLMHeadModel,
  )

 try:
  if not is_tf_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_tf_xlm import (
      TF_XLM_PRETRAINED_MODEL_ARCHIVE_LIST,
      TFXLMForMultipleChoice,
      TFXLMForQuestionAnsweringSimple,
      TFXLMForSequenceClassification,
      TFXLMForTokenClassification,
      TFXLMMainLayer,
      TFXLMModel,
      TFXLMPreTrainedModel,
      TFXLMWithLMHeadModel,
  )

else:
 import sys

 lowercase__         =      _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)




