"""simple docstring"""




from __future__ import annotations

from collections.abc import Callable

_a   :	Optional[int] 					=     list[list[float | int]]





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: Matrix    ,_lowerCamelCase		: Matrix			) ->   Matrix:
  _lowerCAmelCase		: int						    =  len(_lowerCamelCase			)
  _lowerCAmelCase		: Matrix						    =  [[0 for _ in range(size + 1			)] for _ in range(_lowerCamelCase			)]
  _lowerCAmelCase		: int
  _lowerCAmelCase		: int
  _lowerCAmelCase		: int
  _lowerCAmelCase		: int
  _lowerCAmelCase		: int
  _lowerCAmelCase		: float

  for row in range(_lowerCamelCase			):
    for col in range(_lowerCamelCase			):
      _lowerCAmelCase		: Any						    =  matrix[row][col]

    _lowerCAmelCase		: Optional[Any]						    =  vector[row][0]

  _lowerCAmelCase		: Union[str, Any]						    =  0
  _lowerCAmelCase		: Optional[int]						    =  0
  while row < size and col < size:
    # pivoting
    _lowerCAmelCase		: Dict						    =  max((abs(augmented[rowa][col]			), rowa) for rowa in range(_lowerCamelCase    ,_lowerCamelCase			)			)[
        1
    ]
    if augmented[pivot_row][col] == 0:
      col += 1
      continue
    else:
      _lowerCAmelCase    ,			_lowerCAmelCase		: Any						    =  augmented[pivot_row], augmented[row]

    for rowa in range(row + 1    ,_lowerCamelCase			):
      _lowerCAmelCase		: Optional[int]						    =  augmented[rowa][col] / augmented[row][col]
      _lowerCAmelCase		: str						    =  0
      for cola in range(col + 1    ,size + 1			):
        augmented[rowa][cola] -= augmented[row][cola] * ratio

    row += 1
    col += 1

  # back substitution
  for col in range(1    ,_lowerCamelCase			):
    for row in range(_lowerCamelCase			):
      _lowerCAmelCase		: Any						    =  augmented[row][col] / augmented[col][col]
      for cola in range(_lowerCamelCase    ,size + 1			):
        augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
  return [
      [round(augmented[row][size] / augmented[row][row]    ,10			)] for row in range(_lowerCamelCase			)
  ]





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: list[int]			) ->   Callable[[int], int]:
  _lowerCAmelCase		: int						    =  len(_lowerCamelCase			)
  _lowerCAmelCase		: Matrix						    =  [[0 for _ in range(_lowerCamelCase			)] for _ in range(_lowerCamelCase			)]
  _lowerCAmelCase		: Matrix						    =  [[0] for _ in range(_lowerCamelCase			)]
  _lowerCAmelCase		: Matrix
  _lowerCAmelCase		: int
  _lowerCAmelCase		: int
  _lowerCAmelCase		: int

  for x_val, y_val in enumerate(_lowerCamelCase			):
    for col in range(_lowerCamelCase			):
      _lowerCAmelCase		: Optional[Any]						    =  (x_val + 1) ** (size - col - 1)
    _lowerCAmelCase		: Any						    =  y_val

  _lowerCAmelCase		: List[str]						    =  solve(_lowerCamelCase    ,_lowerCamelCase			)

  def interpolated_func(_lowerCamelCase		: int			) -> int:
    return sum(
        round(coeffs[x_val][0]			) * (var ** (size - x_val - 1))
        for x_val in range(_lowerCamelCase			)			)

  return interpolated_func





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: int			) ->   int:
  return (
      1
      - variable
      + variable**2
      - variable**3
      + variable**4
      - variable**5
      + variable**6
      - variable**7
      + variable**8
      - variable**9
      + variable**10
  )





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: Callable[[int], int] = question_function    ,_lowerCamelCase		: int = 10			) ->   int:
  _lowerCAmelCase		: list[int]						    =  [func(_lowerCamelCase			) for x_val in range(1    ,order + 1			)]

  _lowerCAmelCase		: list[Callable[[int], int]]						    =  [
      interpolate(data_points[:max_coeff]			) for max_coeff in range(1    ,order + 1			)
  ]

  _lowerCAmelCase		: int						    =  0
  _lowerCAmelCase		: Callable[[int], int]
  _lowerCAmelCase		: int

  for poly in polynomials:
    _lowerCAmelCase		: Tuple						    =  1
    while func(_lowerCamelCase			) == poly(_lowerCamelCase			):
      x_val += 1

    ret += poly(_lowerCamelCase			)

  return ret


if __name__ == "__main__":
     print(F"""{solution() = }""")





"""simple docstring"""




from PIL import Image





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: Image    ,_lowerCamelCase		: int			) ->   Image:
  _lowerCAmelCase		: Any						    =  (259 * (level + 255)) / (255 * (259 - level))

  def contrast(_lowerCamelCase		: int			) -> int:
    return int(128 + factor * (c - 128)			)

  return img.point(_lowerCamelCase			)


if __name__ == "__main__":
     # Load image
     with Image.open('image_data/lena.jpg') as img:
          # Change contrast to 170
          _a   :	str 					=     change_contrast(img, 170)
          cont_img.save('image_data/lena_high_contrast.png', format='png')




