"""simple docstring"""




from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload
class 						__A							:






     def __init__(		self				,     a__ = None  ):
       if components is None:
         _lowerCAmelCase						:       List[str]  			=     []
       _lowerCAmelCase						:       str  			=     list(a__  )






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






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






     def __add__(		self				,     a__  ):
       _lowerCAmelCase						:       List[str]  			=     len(self  )
       if size == len(a__  ):
         _lowerCAmelCase						:       str  			=     [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				,     a__  ):
       _lowerCAmelCase						:       int  			=     len(self  )
       if size == len(a__  ):
         _lowerCAmelCase						:       Optional[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				,     a__  ):
       ...






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






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






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






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






     def     __A  (		self				,     a__				,     a__  ):
       assert -len(self.__components  ) <= pos < len(self.__components  )
       _lowerCAmelCase						:       int  			=     value






     def     __A  (		self  ):
       if len(self.__components  ) == 0:
         raise Exception("""Vector is empty"""  )
       _lowerCAmelCase						:       int  			=     [c**2 for c in self.__components]
       return math.sqrt(sum(a__  )  )






     def     __A  (		self				,     a__				,     a__ = False  ):
       _lowerCAmelCase						:       List[Any]  			=     self * other
       _lowerCAmelCase						:       int  			=     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:
  assert isinstance(_lowerCamelCase			,_lowerCamelCase	)
  return Vector([0] * dimension	)





def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int			,_lowerCamelCase						:       int	)       ->      Vector:
  assert isinstance(_lowerCamelCase			,_lowerCamelCase	) and (isinstance(_lowerCamelCase			,_lowerCamelCase	))
  _lowerCAmelCase						:       Union[str, Any]  			=     [0] * dimension
  _lowerCAmelCase						:       List[Any]  			=     1
  return Vector(_lowerCamelCase	)





def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       float			,_lowerCamelCase						:       Vector			,_lowerCamelCase						:       Vector	)       ->      Vector:
  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:
  random.seed(_lowerCamelCase	)
  _lowerCAmelCase						:       Union[str, Any]  			=     [random.randint(_lowerCamelCase			,_lowerCamelCase	) for _ in range(_lowerCamelCase	)]
  return Vector(_lowerCamelCase	)
class 						__A							:






     def __init__(		self				,     a__				,     a__				,     a__  ):
       _lowerCAmelCase						:       List[Any]  			=     matrix
       _lowerCAmelCase						:       Dict  			=     w
       _lowerCAmelCase						:       Optional[int]  			=     h






     def __str__(		self  ):
       _lowerCAmelCase						:       Tuple  			=     """"""
       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				,     a__  ):
       if self.__width == other.width() and self.__height == other.height():
         _lowerCAmelCase						:       str  			=     []
         for i in range(self.__height  ):
           _lowerCAmelCase						:       List[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				,     a__  ):
       if self.__width == other.width() and self.__height == other.height():
         _lowerCAmelCase						:       Any  			=     []
         for i in range(self.__height  ):
           _lowerCAmelCase						:       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				,     a__  ):
       ...






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






     def __mul__(		self				,     a__  ):
       if isinstance(a__				,     a__  ):  # matrix-vector
         if len(a__  ) == self.__width:
           _lowerCAmelCase						:       int  			=     zero_vector(self.__height  )
           for i in range(self.__height  ):
             _lowerCAmelCase						:       Dict  			=     [
                 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
         _lowerCAmelCase						:       Union[str, Any]  			=     [
             [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     __A  (		self  ):
       return self.__height






     def     __A  (		self  ):
       return self.__width






     def     __A  (		self				,     a__				,     a__  ):
       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     __A  (		self				,     a__				,     a__				,     a__  ):
       if 0 <= x < self.__height and 0 <= y < self.__width:
         _lowerCAmelCase						:       List[str]  			=     value
       else:
         raise Exception("""change_component: indices out of bounds"""  )






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






     def     __A  (		self				,     a__				,     a__  ):
       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     __A  (		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:
         _lowerCAmelCase						:       Dict  			=     [
             self.__matrix[0][y] * self.cofactor(0				,     a__  ) for y in range(self.__width  )
         ]
         return sum(a__  )







def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int	)       ->      Matrix:
  _lowerCAmelCase						:       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:
  random.seed(_lowerCamelCase	)
  _lowerCAmelCase						:       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_tokenizers_available, is_torch_available


lowerCamelCase				:		str     =   {
    "configuration_nezha": ["NEZHA_PRETRAINED_CONFIG_ARCHIVE_MAP", "NezhaConfig"],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCamelCase				:		List[str]     =   [
     "NEZHA_PRETRAINED_MODEL_ARCHIVE_LIST",
     "NezhaForNextSentencePrediction",
     "NezhaForMaskedLM",
     "NezhaForPreTraining",
     "NezhaForMultipleChoice",
     "NezhaForQuestionAnswering",
     "NezhaForSequenceClassification",
     "NezhaForTokenClassification",
     "NezhaModel",
     "NezhaPreTrainedModel",
 ]


if TYPE_CHECKING:
 from .configuration_nezha import NEZHA_PRETRAINED_CONFIG_ARCHIVE_MAP, NezhaConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_nezha import (
      NEZHA_PRETRAINED_MODEL_ARCHIVE_LIST,
      NezhaForMaskedLM,
      NezhaForMultipleChoice,
      NezhaForNextSentencePrediction,
      NezhaForPreTraining,
      NezhaForQuestionAnswering,
      NezhaForSequenceClassification,
      NezhaForTokenClassification,
      NezhaModel,
      NezhaPreTrainedModel,
  )


else:
 import sys

 lowerCamelCase				:		str     =   _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)



