
"""simple docstring"""




def 			_lowerCAmelCase		(		_UpperCamelCase    ):






  """simple docstring"""



  _lowercase:      Tuple   			=  current_set.copy()
  for row_index, row in enumerate(_UpperCamelCase    ):
    _lowercase:      Any   			=  row[0]
    for column_index, column in enumerate(_UpperCamelCase    ):
      if magnitude == 0:
        _lowercase:      List[Any]   			=  column
        continue
      _lowercase:      Optional[Any]   			=  column / magnitude
    # Subtract to cancel term
  _lowercase:      str   			=  current_set[0]
  _lowercase:      Tuple   			=  [first_row]
  _lowercase:      List[str]   			=  current_set[1::]
  for row in current_set:
    _lowercase:      List[Any]   			=  []
    # If first term is 0, it is already in form we want, so we preserve it
    if row[0] == 0:
      final_set.append(_UpperCamelCase    )
      continue
    for column_index in range(len(_UpperCamelCase    )    ):
      temp_row.append(first_row[column_index] - row[column_index]    )
    final_set.append(_UpperCamelCase    )
  # Create next recursion iteration set
  if len(final_set[0]    ) != 3:
    _lowercase:      int   			=  final_set[0]
    _lowercase:      List[Any]   			=  []
    _lowercase:      Dict   			=  []
    for row in final_set[1::]:
      current_first_column.append(row[0]    )
      next_iteration.append(row[1::]    )
    _lowercase:      int   			=  simplify(_UpperCamelCase    )
    for i in range(len(_UpperCamelCase    )    ):
      resultant[i].insert(0			,					current_first_column[i]    )
    resultant.insert(0			,					_UpperCamelCase    )
    _lowercase:      int   			=  resultant
  return final_set




def 			_lowerCAmelCase		(		_UpperCamelCase    ):






  """simple docstring"""



  if len(_UpperCamelCase    ) == 0:
    raise IndexError('''solve_simultaneous() requires n lists of length n+1'''    )
  _lowercase:      str   			=  len(_UpperCamelCase    ) + 1
  if any(len(_UpperCamelCase    ) != _length for item in equations    ):
    raise IndexError('''solve_simultaneous() requires n lists of length n+1'''    )
  for row in equations:
    if any(not isinstance(_UpperCamelCase			,					(int, float)    ) for column in row    ):
      raise ValueError('''solve_simultaneous() requires lists of integers'''    )
  if len(_UpperCamelCase    ) == 1:
    return [equations[0][-1] / equations[0][0]]
  _lowercase:      Tuple   			=  equations.copy()
  if any(0 in row for row in data_set    ):
    _lowercase:      Optional[Any]   			=  data_set.copy()
    _lowercase:      Tuple   			=  []
    for row_index, row in enumerate(_UpperCamelCase    ):
      if 0 not in row:
        _lowercase:      str   			=  data_set.pop(_UpperCamelCase    )
        break
    if not full_row:
      raise ValueError('''solve_simultaneous() requires at least 1 full equation'''    )
    data_set.insert(0			,					_UpperCamelCase    )
  _lowercase:      List[Any]   			=  data_set.copy()
  _lowercase:      Dict   			=  simplify(_UpperCamelCase    )
  _lowercase:      Optional[int]   			=  simplified[::-1]
  _lowercase:      list   			=  []
  for row in simplified:
    _lowercase:      List[Any]   			=  row[-1]
    if not solutions:
      if row[-2] == 0:
        solutions.append(0    )
        continue
      solutions.append(current_solution / row[-2]    )
      continue
    _lowercase:      Union[str, Any]   			=  row.copy()[: len(_UpperCamelCase    ) - 1 :]
    while temp_row[0] == 0:
      temp_row.pop(0    )
    if len(_UpperCamelCase    ) == 0:
      solutions.append(0    )
      continue
    _lowercase:      Union[str, Any]   			=  temp_row[1::]
    _lowercase:      List[Any]   			=  temp_row[::-1]
    for column_index, column in enumerate(_UpperCamelCase    ):
      current_solution -= column * solutions[column_index]
    solutions.append(_UpperCamelCase    )
  _lowercase:      Tuple   			=  []
  for item in solutions:
    final.append(float(round(_UpperCamelCase			,					5    )    )    )
  return final[::-1]


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  A__ :       Dict				= [
      [2, 1, 1, 1, 1, 4],
      [1, 2, 1, 1, 1, 5],
      [1, 1, 2, 1, 1, 6],
      [1, 1, 1, 2, 1, 7],
      [1, 1, 1, 1, 2, 8],
  ]
  print(solve_simultaneous(eq))
  print(solve_simultaneous([[4, 2]]))


"""simple docstring"""




from cva import destroyAllWindows, imread, imshow, waitKey




def 			_lowerCAmelCase		(		_UpperCamelCase    ):






  """simple docstring"""



  _lowercase			,					_lowercase:      Union[str, Any]   			=  img.shape[0], img.shape[1]

  # converting each pixel's color to its negative
  for i in range(_UpperCamelCase    ):
    for j in range(_UpperCamelCase    ):
      _lowercase:      Dict   			=  [255, 255, 255] - img[i][j]

  return img


if __name__ == "__main__":
  # read original image
  A__ :       Optional[Any]				= imread('image_data/lena.jpg', 1)

  # convert to its negative
  A__ :       Dict				= convert_to_negative(img)

  # show result image
  imshow('negative of original image', img)
  waitKey(0)
  destroyAllWindows()
