


'''simple docstring'''
from __future__ import annotations

from typing import Any

class 						_lowerCamelCase					:




 '''simple docstring'''


 def __init__(      self      ,      __lowercase      ,      __lowercase      ,      __lowercase = 0						):

  """simple docstring"""







  __A  :		Tuple       =			row, column
  __A  :		Union[str, Any]       =			[[default_value for c in range(__lowercase						)] for r in range(__lowercase						)]


 def __str__(      self						):

  """simple docstring"""







  __A  :		Union[str, Any]       =			F"""Matrix consist of {self.row} rows and {self.column} columns\n"""

  # Make string identifier
  __A  :		str       =			0
  for row_vector in self.array:
   for obj in row_vector:
    __A  :		int       =			max(__lowercase      ,      len(str(__lowercase						)						)						)
  __A  :		List[str]       =			F"""%{max_element_length}s"""

  # Make string and return
  def single_line(__lowercase						) -> str:
   nonlocal string_format_identifier
   __A  :		int       =			'['
   line += ", ".join(string_format_identifier % (obj,) for obj in row_vector						)
   line += "]"
   return line

  s += "\n".join(single_line(__lowercase						) for row_vector in self.array						)
  return s


 def __repr__(      self						):

  """simple docstring"""







  return str(self						)


 def  snake_case__   (      self      ,      __lowercase						):

  """simple docstring"""







  if not (isinstance(__lowercase      ,      (list, tuple)						) and len(__lowercase						) == 2):
   return False
  elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
   return False
  else:
   return True


 def __getitem__(      self      ,      __lowercase						):

  """simple docstring"""







  assert self.validate_indicies(__lowercase						)
  return self.array[loc[0]][loc[1]]


 def __setitem__(      self      ,      __lowercase      ,      __lowercase						):

  """simple docstring"""







  assert self.validate_indicies(__lowercase						)
  __A  :		Optional[Any]       =			value


 def __add__(      self      ,      __lowercase						):

  """simple docstring"""







  assert isinstance(__lowercase      ,      __lowercase						)
  assert self.row == another.row and self.column == another.column

  # Add
  __A  :		Union[str, Any]       =			Matrix(self.row      ,      self.column						)
  for r in range(self.row						):
   for c in range(self.column						):
    __A  :		List[str]       =			self[r, c] + another[r, c]
  return result


 def __neg__(      self						):

  """simple docstring"""







  __A  :		Union[str, Any]       =			Matrix(self.row      ,      self.column						)
  for r in range(self.row						):
   for c in range(self.column						):
    __A  :		Any       =			-self[r, c]
  return result


 def __sub__(      self      ,      __lowercase						):

  """simple docstring"""







  return self + (-another)


 def __mul__(      self      ,      __lowercase						):

  """simple docstring"""







  if isinstance(__lowercase      ,      (int, float)						):  # Scalar multiplication
   __A  :		Dict       =			Matrix(self.row      ,      self.column						)
   for r in range(self.row						):
    for c in range(self.column						):
     __A  :		int       =			self[r, c] * another
   return result
  elif isinstance(__lowercase      ,      __lowercase						):  # Matrix multiplication
   assert self.column == another.row
   __A  :		List[Any]       =			Matrix(self.row      ,      another.column						)
   for r in range(self.row						):
    for c in range(another.column						):
     for i in range(self.column						):
      result[r, c] += self[r, i] * another[i, c]
   return result
  else:
   __A  :		List[Any]       =			F"""Unsupported type given for another ({type(__lowercase						)})"""
   raise TypeError(__lowercase						)


 def  snake_case__   (      self						):

  """simple docstring"""







  __A  :		str       =			Matrix(self.column      ,      self.row						)
  for r in range(self.row						):
   for c in range(self.column						):
    __A  :		Tuple       =			self[r, c]
  return result







 def  snake_case__   (      self      ,      __lowercase      ,      __lowercase						):

  """simple docstring"""







  assert isinstance(__lowercase      ,      __lowercase						) and isinstance(__lowercase      ,      __lowercase						)
  assert self.row == self.column == u.row == v.row  # u, v should be column vector
  assert u.column == v.column == 1  # u, v should be column vector

  # Calculate
  __A  :		str       =			v.transpose()
  __A  :		Union[str, Any]       =			(v_t * self * u)[0, 0] + 1
  if numerator_factor == 0:
   return None  # It's not invertable
  return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":


 def 			_lowercase       (				):
  # a^(-1)
  __A  :		Dict       =			Matrix(3,				3,				0			)
  for i in range(3			):
   __A  :		Any       =			1
  print(f"""a^(-1) is {ainv}"""			)
  # u, v
  __A  :		Any       =			Matrix(3,				1,				0			)
  __A  :		Optional[int]       =			1, 2, -3
  __A  :		Optional[Any]       =			Matrix(3,				1,				0			)
  __A  :		Union[str, Any]       =			4, -2, 5
  print(f"""u is {u}"""			)
  print(f"""v is {v}"""			)
  print(f"""uv^T is {u * v.transpose()}"""			)
  # Sherman Morrison
  print(f"""(a + uv^T)^(-1) is {ainv.sherman_morrison(UpperCamelCase__,				UpperCamelCase__			)}"""			)


 def 			_lowercase       (				):
  import doctest

  doctest.testmod()


 testa()










'''simple docstring'''
from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCAmelCase_ :     Dict								=      logging.get_logger(__name__)

UpperCAmelCase_ :     Optional[int]								=      {
    'sayakpaul/vit-msn-base': 'https://huggingface.co/sayakpaul/vit-msn-base/resolve/main/config.json',
    # See all ViT MSN models at https://huggingface.co/models?filter=vit_msn
}

class 						_lowerCamelCase					(    snake_case_				):




 '''simple docstring'''
 __lowercase				:		Tuple    							=						'''vit_msn'''


 def __init__(      self      ,      __lowercase=768      ,      __lowercase=12      ,      __lowercase=12      ,      __lowercase=3_072      ,      __lowercase="gelu"      ,      __lowercase=0.0      ,      __lowercase=0.0      ,      __lowercase=0.0_2      ,      __lowercase=1E-06      ,      __lowercase=224      ,      __lowercase=16      ,      __lowercase=3      ,      __lowercase=True      ,      **__lowercase      ,      ):

  """simple docstring"""







  super().__init__(**__lowercase						)

  __A  :		Tuple       =			hidden_size
  __A  :		Optional[int]       =			num_hidden_layers
  __A  :		str       =			num_attention_heads
  __A  :		Dict       =			intermediate_size
  __A  :		Optional[Any]       =			hidden_act
  __A  :		Union[str, Any]       =			hidden_dropout_prob
  __A  :		Optional[Any]       =			attention_probs_dropout_prob
  __A  :		List[str]       =			initializer_range
  __A  :		Dict       =			layer_norm_eps
  __A  :		List[Any]       =			image_size
  __A  :		Optional[int]       =			patch_size
  __A  :		List[Any]       =			num_channels
  __A  :		Optional[Any]       =			qkv_bias






