





from __future__ import annotations

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






class        snake_case_    :






  def __init__(							self			:					Union[str, Any]       ,  _snake_case			:					Collection[float] | None = None      )->None:






   '''simple docstring'''

   if components is None:
    __lowerCAmelCase					:	str      =       []
   __lowerCAmelCase					:	List[str]      =       list(_snake_case      )






  def __len__(							self			:					Any      )->int:






   '''simple docstring'''

   return len(self.__components      )






  def __str__(							self			:					Optional[Any]      )->str:






   '''simple docstring'''

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






  def __add__(							self			:					Union[str, Any]       ,  _snake_case			:					Vector      )->Vector:






   '''simple docstring'''

   __lowerCAmelCase					:	List[Any]      =       len(self      )
   if size == len(_snake_case      ):
    __lowerCAmelCase					:	Union[str, Any]      =       [self.__components[i] + other.component(_snake_case      ) for i in range(_snake_case      )]
    return Vector(_snake_case      )
   else:
    raise Exception("""must have the same size"""      )






  def __sub__(							self			:					Optional[Any]       ,  _snake_case			:					Vector      )->Vector:






   '''simple docstring'''

   __lowerCAmelCase					:	List[Any]      =       len(self      )
   if size == len(_snake_case      ):
    __lowerCAmelCase					:	Dict      =       [self.__components[i] - other.component(_snake_case      ) for i in range(_snake_case      )]
    return Vector(_snake_case      )
   else:  # error case
    raise Exception("""must have the same size"""      )






  @overload
  def __mul__(							self			:					Optional[int]       ,  _snake_case			:					float      )->Vector:






   '''simple docstring'''

   ...






  @overload
  def __mul__(							self			:					Union[str, Any]       ,  _snake_case			:					Vector      )->float:






   '''simple docstring'''

   ...






  def __mul__(							self			:					Optional[int]       ,  _snake_case			:					float | Vector      )->float | Vector:






   '''simple docstring'''

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






  def 				UpperCAmelCase__						(							self			:					int      )->Vector:






   '''simple docstring'''

   return Vector(self.__components      )






  def 				UpperCAmelCase__						(							self			:					Optional[Any]       ,  _snake_case			:					int      )->float:






   '''simple docstring'''

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






  def 				UpperCAmelCase__						(							self			:					Union[str, Any]       ,  _snake_case			:					int       ,  _snake_case			:					float      )->None:






   '''simple docstring'''

   assert -len(self.__components      ) <= pos < len(self.__components      )
   __lowerCAmelCase					:	Union[str, Any]      =       value






  def 				UpperCAmelCase__						(							self			:					Optional[int]      )->float:






   '''simple docstring'''

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






  def 				UpperCAmelCase__						(							self			:					List[Any]       ,  _snake_case			:					Vector       ,  _snake_case			:					bool = False      )->float:






   '''simple docstring'''

   __lowerCAmelCase					:	Optional[Any]      =       self * other
   __lowerCAmelCase					:	Optional[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		(      SCREAMING_SNAKE_CASE		:int   )      ->   Vector:
 assert isinstance(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
 return Vector([0] * dimension   )






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   )      ->   Vector:
 assert isinstance(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ) and (isinstance(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ))
 __lowerCAmelCase					:	List[str]      =       [0] * dimension
 __lowerCAmelCase					:	Optional[int]      =       1
 return Vector(SCREAMING_SNAKE_CASE   )






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:Vector   ,   SCREAMING_SNAKE_CASE		:Vector   )      ->   Vector:
 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 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   )      ->   Vector:
 random.seed(SCREAMING_SNAKE_CASE   )
 __lowerCAmelCase					:	Optional[Any]      =       [random.randint(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ) for _ in range(SCREAMING_SNAKE_CASE   )]
 return Vector(SCREAMING_SNAKE_CASE   )






class        snake_case_    :






  def __init__(							self			:					List[str]       ,  _snake_case			:					list[list[float]]       ,  _snake_case			:					int       ,  _snake_case			:					int      )->None:






   '''simple docstring'''

   __lowerCAmelCase					:	Any      =       matrix
   __lowerCAmelCase					:	List[Any]      =       w
   __lowerCAmelCase					:	Any      =       h






  def __str__(							self			:					Dict      )->str:






   '''simple docstring'''

   __lowerCAmelCase					:	Union[str, 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			:					Optional[Any]       ,  _snake_case			:					Matrix      )->Matrix:






   '''simple docstring'''

   if self.__width == other.width() and self.__height == other.height():
    __lowerCAmelCase					:	Union[str, Any]      =       []
    for i in range(self.__height      ):
     __lowerCAmelCase					:	int      =       [
         self.__matrix[i][j] + other.component(_snake_case       ,  _snake_case      )
         for j in range(self.__width      )
     ]
     matrix.append(_snake_case      )
    return Matrix(_snake_case       ,  self.__width       ,  self.__height      )
   else:
    raise Exception("""matrix must have the same dimension!"""      )






  def __sub__(							self			:					int       ,  _snake_case			:					Matrix      )->Matrix:






   '''simple docstring'''

   if self.__width == other.width() and self.__height == other.height():
    __lowerCAmelCase					:	int      =       []
    for i in range(self.__height      ):
     __lowerCAmelCase					:	Optional[Any]      =       [
         self.__matrix[i][j] - other.component(_snake_case       ,  _snake_case      )
         for j in range(self.__width      )
     ]
     matrix.append(_snake_case      )
    return Matrix(_snake_case       ,  self.__width       ,  self.__height      )
   else:
    raise Exception("""matrices must have the same dimension!"""      )






  @overload
  def __mul__(							self			:					Optional[Any]       ,  _snake_case			:					float      )->Matrix:






   '''simple docstring'''

   ...






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






   '''simple docstring'''

   ...






  def __mul__(							self			:					Dict       ,  _snake_case			:					float | Vector      )->Vector | Matrix:






   '''simple docstring'''

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






  def 				UpperCAmelCase__						(							self			:					Optional[Any]      )->int:






   '''simple docstring'''

   return self.__height






  def 				UpperCAmelCase__						(							self			:					List[str]      )->int:






   '''simple docstring'''

   return self.__width






  def 				UpperCAmelCase__						(							self			:					Any       ,  _snake_case			:					int       ,  _snake_case			:					int      )->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 				UpperCAmelCase__						(							self			:					int       ,  _snake_case			:					int       ,  _snake_case			:					int       ,  _snake_case			:					float      )->None:






   '''simple docstring'''

   if 0 <= x < self.__height and 0 <= y < self.__width:
    __lowerCAmelCase					:	str      =       value
   else:
    raise Exception("""change_component: indices out of bounds"""      )






  def 				UpperCAmelCase__						(							self			:					List[Any]       ,  _snake_case			:					int       ,  _snake_case			:					int      )->float:






   '''simple docstring'''

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






  def 				UpperCAmelCase__						(							self			:					List[str]       ,  _snake_case			:					int       ,  _snake_case			:					int      )->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(_snake_case       ,  _snake_case      )
   else:
    raise Exception("""Indices out of bounds"""      )






  def 				UpperCAmelCase__						(							self			:					Dict      )->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:
    __lowerCAmelCase					:	int      =       [
        self.__matrix[0][y] * self.cofactor(0       ,  _snake_case      ) for y in range(self.__width      )
    ]
    return sum(_snake_case      )






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int   )      ->   Matrix:
 __lowerCAmelCase					:	list[list[float]]      =       [[0] * n for _ in range(SCREAMING_SNAKE_CASE   )]
 return Matrix(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )







def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   )      ->   Matrix:
 random.seed(SCREAMING_SNAKE_CASE   )
 __lowerCAmelCase					:	list[list[float]]      =       [
     [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 ...configuration_utils import PretrainedConfig
from ...utils import logging


_UpperCAmelCase             =							logging.get_logger(__name__)

_UpperCAmelCase             =							{
    'microsoft/biogpt': 'https://huggingface.co/microsoft/biogpt/resolve/main/config.json',
    # See all BioGPT models at https://huggingface.co/models?filter=biogpt
}






class        snake_case_    (		__lowercase						):
  A_      							=   'biogpt'






  def __init__(							self			:					int       ,  _snake_case			:					Any=42384       ,  _snake_case			:					Any=1024       ,  _snake_case			:					List[Any]=24       ,  _snake_case			:					Any=16       ,  _snake_case			:					List[str]=4096       ,  _snake_case			:					Dict="gelu"       ,  _snake_case			:					Tuple=0.1       ,  _snake_case			:					str=0.1       ,  _snake_case			:					Tuple=1024       ,  _snake_case			:					Tuple=0.02       ,  _snake_case			:					Tuple=1E-12       ,  _snake_case			:					Optional[int]=True       ,  _snake_case			:					Optional[int]=True       ,  _snake_case			:					Any=0.0       ,  _snake_case			:					Tuple=0.0       ,  _snake_case			:					str=1       ,  _snake_case			:					Dict=0       ,  _snake_case			:					str=2       ,  **_snake_case			:					Union[str, Any]       ,  )->Dict:






   '''simple docstring'''

   __lowerCAmelCase					:	List[Any]      =       vocab_size
   __lowerCAmelCase					:	Dict      =       max_position_embeddings
   __lowerCAmelCase					:	str      =       hidden_size
   __lowerCAmelCase					:	Dict      =       num_hidden_layers
   __lowerCAmelCase					:	List[Any]      =       num_attention_heads
   __lowerCAmelCase					:	Optional[Any]      =       intermediate_size
   __lowerCAmelCase					:	int      =       hidden_act
   __lowerCAmelCase					:	Any      =       hidden_dropout_prob
   __lowerCAmelCase					:	Any      =       attention_probs_dropout_prob
   __lowerCAmelCase					:	Any      =       initializer_range
   __lowerCAmelCase					:	int      =       layer_norm_eps
   __lowerCAmelCase					:	Optional[int]      =       scale_embedding
   __lowerCAmelCase					:	List[Any]      =       use_cache
   __lowerCAmelCase					:	str      =       layerdrop
   __lowerCAmelCase					:	Dict      =       activation_dropout
   super().__init__(pad_token_id=_snake_case       ,  bos_token_id=_snake_case       ,  eos_token_id=_snake_case       ,  **_snake_case      )