"""simple docstring"""







from __future__ import annotations

from typing import Any



def 			A__						(  *lowercase_    :  list[list[int]]	)     ->       list[list[int]]:
   if all(_check_not_integer(lowercase_	) for m in matrix_s	):
      for i in matrix_s[1:]:
         _verify_matrix_sizes(matrix_s[0]			,   lowercase_	)
      return [[sum(lowercase_	) for t in zip(*lowercase_	)] for m in zip(*lowercase_	)]
   raise TypeError('Expected a matrix, got int/list instead'	)



def 			A__						(  lowercase_    :  list[list[int]]			,   lowercase_    :  list[list[int]]	)     ->       list[list[int]]:
   if (
       _check_not_integer(lowercase_	)
       and _check_not_integer(lowercase_	)
       and _verify_matrix_sizes(lowercase_			,   lowercase_	)
   ):
      return [[i - j for i, j in zip(*lowercase_	)] for m in zip(lowercase_			,   lowercase_	)]
   raise TypeError('Expected a matrix, got int/list instead'	)



def 			A__						(  lowercase_    :  list[list[int]]			,   lowercase_    :  int | float	)     ->       list[list[float]]:
   return [[x * n for x in row] for row in matrix]



def 			A__						(  lowercase_    :  list[list[int]]			,   lowercase_    :  list[list[int]]	)     ->       list[list[int]]:
   if _check_not_integer(lowercase_	) and _check_not_integer(lowercase_	):
      __lowerCamelCase		,__lowerCamelCase								=				_verify_matrix_sizes(lowercase_			,   lowercase_	)

   if cols[0] != rows[1]:
      __lowerCamelCase								=				(
          'Cannot multiply matrix of dimensions '
          F'''({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})'''
      )
      raise ValueError(lowercase_	)
   return [
       [sum(m * n for m, n in zip(lowercase_			,   lowercase_	)	) for j in zip(*lowercase_	)] for i in matrix_a
   ]



def 			A__						(  lowercase_    :  int	)     ->       list[list[int]]:
   __lowerCamelCase								=				int(lowercase_	)
   return [[int(row == column	) for column in range(lowercase_	)] for row in range(lowercase_	)]



def 			A__						(  lowercase_    :  list[list[int]]			,   lowercase_    :  bool = True	)     ->       list[list[int]] | map[list[int]]:
   if _check_not_integer(lowercase_	):
      if return_map:
         return map(lowercase_			,   zip(*lowercase_	)	)
      else:
         return list(map(lowercase_			,   zip(*lowercase_	)	)	)
   raise TypeError('Expected a matrix, got int/list instead'	)



def 			A__						(  lowercase_    :  list[list[int]]			,   lowercase_    :  int			,   lowercase_    :  int	)     ->       list[list[int]]:
   __lowerCamelCase								=				matrix[:row] + matrix[row + 1 :]
   return [row[:column] + row[column + 1 :] for row in minor]



def 			A__						(  lowercase_    :  list[list[int]]	)     ->       Any:
   if len(lowercase_	) == 1:
      return matrix[0][0]

   return sum(
       x * determinant(minor(lowercase_			,   0			,   lowercase_	)	) * (-1) ** i
       for i, x in enumerate(matrix[0]	)	)



def 			A__						(  lowercase_    :  list[list[int]]	)     ->       list[list[float]] | None:
   __lowerCamelCase								=				determinant(lowercase_	)
   if det == 0:
      return None

   __lowerCamelCase								=				[
       [determinant(minor(lowercase_			,   lowercase_			,   lowercase_	)	) for j in range(len(lowercase_	)	)]
       for i in range(len(lowercase_	)	)
   ]

   __lowerCamelCase								=				[
       [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]	)]
       for row in range(len(lowercase_	)	)
   ]
   __lowerCamelCase								=				list(transpose(lowercase_	)	)
   return scalar_multiply(lowercase_			,   1 / det	)



def 			A__						(  lowercase_    :  list[list[int]]	)     ->       bool:
   return not isinstance(lowercase_			,   lowercase_	) and not isinstance(matrix[0]			,   lowercase_	)



def 			A__						(  lowercase_    :  list[list[int]]	)     ->       tuple[int, int]:
   return len(lowercase_	), len(matrix[0]	)



def 			A__						(  lowercase_    :  list[list[int]]			,   lowercase_    :  list[list[int]]	)     ->       tuple[tuple[int, int], tuple[int, int]]:
   __lowerCamelCase								=				_shape(lowercase_	) + _shape(lowercase_	)
   if shape[0] != shape[3] or shape[1] != shape[2]:
      __lowerCamelCase								=				(
          'operands could not be broadcast together with shape '
          F'''({shape[0], shape[1]}), ({shape[2], shape[3]})'''
      )
      raise ValueError(lowercase_	)
   return (shape[0], shape[2]), (shape[1], shape[3])



def 			A__						(  )     ->       None:
   __lowerCamelCase								=				[[12, 10], [3, 9]]
   __lowerCamelCase								=				[[3, 4], [7, 4]]
   __lowerCamelCase								=				[[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
   __lowerCamelCase								=				[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
   print(F'''Add Operation, {add(lowercase_			,   lowercase_	) = } \n'''	)
   print(
       F'''Multiply Operation, {multiply(lowercase_			,   lowercase_	) = } \n'''			,   )
   print(F'''Identity: {identity(5	)}\n'''	)
   print(F'''Minor of {matrix_c} = {minor(lowercase_			,   1			,   2	)} \n'''	)
   print(F'''Determinant of {matrix_b} = {determinant(lowercase_	)} \n'''	)
   print(F'''Inverse of {matrix_d} = {inverse(lowercase_	)}\n'''	)


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     main()







"""simple docstring"""







# this script builds a small sample spm file tests/fixtures/test_sentencepiece_no_bos.model, with features needed by pegasus

# 1. pip install sentencepiece
#
# 2. wget https://raw.githubusercontent.com/google/sentencepiece/master/data/botchan.txt

# 3. build
import sentencepiece as spm

# pegasus:
# 1. no bos
# 2. eos_id is 1
# 3. unk_id is 2
# build a sample spm file accordingly
spm.SentencePieceTrainer.train(
    '''--input=botchan.txt --model_prefix=test_sentencepiece_no_bos --bos_id=-1 --unk_id=2  --eos_id=1  --vocab_size=1000'''
)

# 4. now update the fixture
# mv test_sentencepiece_no_bos.model ../../tests/fixtures/






