



'''simple docstring'''





from __future__ import annotations

import math




def lowerCAmelCase						(__A						,			__A):



     """simple docstring"""



     if len(__A) != 2 or len(a[0]) != 2 or len(__A) != 2 or len(b[0]) != 2:
          raise Exception('''Matrices are not 2x2''')
     _a											=						[
         [a[0][0] * b[0][0] + a[0][1] * b[1][0], a[0][0] * b[0][1] + a[0][1] * b[1][1]],
         [a[1][0] * b[0][0] + a[1][1] * b[1][0], a[1][0] * b[0][1] + a[1][1] * b[1][1]],
     ]
     return new_matrix




def lowerCAmelCase						(__A						,			__A):



     """simple docstring"""



     return [
         [matrix_a[row][col] + matrix_b[row][col] for col in range(len(matrix_a[row]))]
         for row in range(len(__A))
     ]




def lowerCAmelCase						(__A						,			__A):



     """simple docstring"""



     return [
         [matrix_a[row][col] - matrix_b[row][col] for col in range(len(matrix_a[row]))]
         for row in range(len(__A))
     ]




def lowerCAmelCase						(__A):



     """simple docstring"""



     if len(__A) % 2 != 0 or len(a[0]) % 2 != 0:
          raise Exception('''Odd matrices are not supported!''')

     _a											=						len(__A)
     _a											=						matrix_length // 2

     _a											=						[[a[i][j] for j in range(__A						,			__A)] for i in range(__A)]
     _a											=						[
         [a[i][j] for j in range(__A						,			__A)] for i in range(__A						,			__A)
     ]

     _a											=						[[a[i][j] for j in range(__A)] for i in range(__A)]
     _a											=						[[a[i][j] for j in range(__A)] for i in range(__A						,			__A)]

     return top_left, top_right, bot_left, bot_right




def lowerCAmelCase						(__A):



     """simple docstring"""



     return len(__A), len(matrix[0])




def lowerCAmelCase						(__A):



     """simple docstring"""



     print('''\n'''.join(str(__A) for line in matrix))




def lowerCAmelCase						(__A						,			__A):



     """simple docstring"""



     if matrix_dimensions(__A) == (2, 2):
          return default_matrix_multiplication(__A						,			__A)

     _a						,					_a						,					_a						,					_a											=						split_matrix(__A)
     _a						,					_a						,					_a						,					_a											=						split_matrix(__A)

     _a											=						actual_strassen(__A						,			matrix_subtraction(__A						,			__A))
     _a											=						actual_strassen(matrix_addition(__A						,			__A)						,			__A)
     _a											=						actual_strassen(matrix_addition(__A						,			__A)						,			__A)
     _a											=						actual_strassen(__A						,			matrix_subtraction(__A						,			__A))
     _a											=						actual_strassen(matrix_addition(__A						,			__A)						,			matrix_addition(__A						,			__A))
     _a											=						actual_strassen(matrix_subtraction(__A						,			__A)						,			matrix_addition(__A						,			__A))
     _a											=						actual_strassen(matrix_subtraction(__A						,			__A)						,			matrix_addition(__A						,			__A))

     _a											=						matrix_addition(matrix_subtraction(matrix_addition(__A						,			__A)						,			__A)						,			__A)
     _a											=						matrix_addition(__A						,			__A)
     _a											=						matrix_addition(__A						,			__A)
     _a											=						matrix_subtraction(matrix_subtraction(matrix_addition(__A						,			__A)						,			__A)						,			__A)

     # construct the new matrix from our 4 quadrants
     _a											=						[]
     for i in range(len(__A)):
          new_matrix.append(top_left[i] + top_right[i])
     for i in range(len(__A)):
          new_matrix.append(bot_left[i] + bot_right[i])
     return new_matrix




def lowerCAmelCase						(__A						,			__A):



     """simple docstring"""



     if matrix_dimensions(__A)[1] != matrix_dimensions(__A)[0]:
          _a											=						(
              '''Unable to multiply these matrices, please check the dimensions.\n'''
              F'''Matrix A: {matrixa}\n'''
              F'''Matrix B: {matrixa}'''
          )
          raise Exception(__A)
     _a											=						matrix_dimensions(__A)
     _a											=						matrix_dimensions(__A)

     if dimensiona[0] == dimensiona[1] and dimensiona[0] == dimensiona[1]:
          return [matrixa, matrixa]

     _a											=						max(*__A						,			*__A)
     _a											=						int(math.pow(2						,			math.ceil(math.loga(__A))))
     _a											=						matrixa
     _a											=						matrixa

     # Adding zeros to the matrices so that the arrays dimensions are the same and also
     # power of 2
     for i in range(0						,			__A):
          if i < dimensiona[0]:
               for _ in range(dimensiona[1]						,			__A):
                    new_matrixa[i].append(0)
          else:
               new_matrixa.append([0] * maxim)
          if i < dimensiona[0]:
               for _ in range(dimensiona[1]						,			__A):
                    new_matrixa[i].append(0)
          else:
               new_matrixa.append([0] * maxim)

     _a											=						actual_strassen(__A						,			__A)

     # Removing the additional zeros
     for i in range(0						,			__A):
          if i < dimensiona[0]:
               for _ in range(dimensiona[1]						,			__A):
                    final_matrix[i].pop()
          else:
               final_matrix.pop()
     return final_matrix


if __name__ == "__main__":
  lowercase_	 =						[
      [2, 3, 4, 5],
      [6, 4, 3, 1],
      [2, 3, 6, 7],
      [3, 1, 2, 4],
      [2, 3, 4, 5],
      [6, 4, 3, 1],
      [2, 3, 6, 7],
      [3, 1, 2, 4],
      [2, 3, 4, 5],
      [6, 2, 3, 1],
  ]
  lowercase_	 =						[[0, 2, 1, 1], [16, 2, 3, 3], [2, 2, 7, 7], [13, 11, 22, 4]]
  print(strassen(matrixa, matrixa))








'''simple docstring'''





from ...configuration_utils import PretrainedConfig
from ...utils import logging


lowercase_	 =						logging.get_logger(__name__)

lowercase_	 =						{
    "google/pegasus-large": "https://huggingface.co/google/pegasus-large/resolve/main/config.json",
    # See all PEGASUS models at https://huggingface.co/models?filter=pegasus
}






class __A    (						A		):



 '''simple docstring'''







 __lowerCamelCase					: Union[str, Any]    = 'pegasus'
 __lowerCamelCase					: Tuple    = ['past_key_values']
 __lowerCamelCase					: List[Any]    = {'num_attention_heads': 'encoder_attention_heads', 'hidden_size': 'd_model'}



 def __init__(self				,     A=50_265				,     A=1_024				,     A=12				,     A=4_096				,     A=16				,     A=12				,     A=4_096				,     A=16				,     A=0.0				,     A=0.0				,     A=True				,     A=True				,     A="gelu"				,     A=1_024				,     A=0.1				,     A=0.0				,     A=0.0				,     A=0.02				,     A=0				,     A=False				,     A=0				,     A=1				,     A=1				,     **A				,     )					->  str:


      """simple docstring"""



      _a											=						vocab_size
      _a											=						max_position_embeddings
      _a											=						d_model
      _a											=						encoder_ffn_dim
      _a											=						encoder_layers
      _a											=						encoder_attention_heads
      _a											=						decoder_ffn_dim
      _a											=						decoder_layers
      _a											=						decoder_attention_heads
      _a											=						dropout
      _a											=						attention_dropout
      _a											=						activation_dropout
      _a											=						activation_function
      _a											=						init_std
      _a											=						encoder_layerdrop
      _a											=						decoder_layerdrop
      _a											=						use_cache
      _a											=						encoder_layers
      _a											=						scale_embedding  # scale factor will be sqrt(d_model) if True
      super().__init__(
          pad_token_id=A				,     eos_token_id=A				,     is_encoder_decoder=A				,     decoder_start_token_id=A				,     forced_eos_token_id=A				,     **A				,     )



 @property
 def       a__						(self )					->  int:


      """simple docstring"""



      return self.encoder_attention_heads



 @property
 def       a__						(self )					->  int:


      """simple docstring"""



      return self.d_model



