





def       __UpperCamelCase  (_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)    ->       int:

  def update_area_of_max_square(_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		) -> int:
    # BASE CASE
    if row >= rows or col >= cols:
      return 0

    lowercase__           =  update_area_of_max_square(_SCREAMING_SNAKE_CASE		,						col + 1		)
    lowercase__           =  update_area_of_max_square(row + 1		,						col + 1		)
    lowercase__           =  update_area_of_max_square(row + 1		,						_SCREAMING_SNAKE_CASE		)

    if mat[row][col]:
      lowercase__           =  1 + min([right, diagonal, down]		)
      lowercase__           =  max(largest_square_area[0]		,						_SCREAMING_SNAKE_CASE		)
      return sub_problem_sol
    else:
      return 0

  lowercase__           =  [0]
  update_area_of_max_square(0		,						0		)
  return largest_square_area[0]




def       __UpperCamelCase  (_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)    ->       int:

  def update_area_of_max_square_using_dp_array(
      _SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		) -> int:
    if row >= rows or col >= cols:
      return 0
    if dp_array[row][col] != -1:
      return dp_array[row][col]

    lowercase__           =  update_area_of_max_square_using_dp_array(_SCREAMING_SNAKE_CASE		,						col + 1		,						_SCREAMING_SNAKE_CASE		)
    lowercase__           =  update_area_of_max_square_using_dp_array(row + 1		,						col + 1		,						_SCREAMING_SNAKE_CASE		)
    lowercase__           =  update_area_of_max_square_using_dp_array(row + 1		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)

    if mat[row][col]:
      lowercase__           =  1 + min([right, diagonal, down]		)
      lowercase__           =  max(largest_square_area[0]		,						_SCREAMING_SNAKE_CASE		)
      lowercase__           =  sub_problem_sol
      return sub_problem_sol
    else:
      return 0

  lowercase__           =  [0]
  lowercase__           =  [[-1] * cols for _ in range(_SCREAMING_SNAKE_CASE		)]
  update_area_of_max_square_using_dp_array(0		,						0		,						_SCREAMING_SNAKE_CASE		)

  return largest_square_area[0]




def       __UpperCamelCase  (_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)    ->       int:
  lowercase__           =  [[0] * (cols + 1) for _ in range(rows + 1		)]
  lowercase__           =  0
  for row in range(rows - 1		,						-1		,						-1		):
    for col in range(cols - 1		,						-1		,						-1		):
      lowercase__           =  dp_array[row][col + 1]
      lowercase__           =  dp_array[row + 1][col + 1]
      lowercase__           =  dp_array[row + 1][col]

      if mat[row][col] == 1:
        lowercase__           =  1 + min(_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)
        lowercase__           =  max(dp_array[row][col]		,						_SCREAMING_SNAKE_CASE		)
      else:
        lowercase__           =  0

  return largest_square_area




def       __UpperCamelCase  (_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)    ->       int:
  lowercase__           =  [0] * (cols + 1)
  lowercase__           =  [0] * (cols + 1)
  lowercase__           =  0
  for row in range(rows - 1		,						-1		,						-1		):
    for col in range(cols - 1		,						-1		,						-1		):
      lowercase__           =  current_row[col + 1]
      lowercase__           =  next_row[col + 1]
      lowercase__           =  next_row[col]

      if mat[row][col] == 1:
        lowercase__           =  1 + min(_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)
        lowercase__           =  max(current_row[col]		,						_SCREAMING_SNAKE_CASE		)
      else:
        lowercase__           =  0
    lowercase__           =  current_row

  return largest_square_area


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      print(largest_square_area_in_matrix_bottom_up(2, 2, [[1, 1], [1, 1]]))









def       __UpperCamelCase  (_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		)    ->       int:

  if exponent == 1:
    return base
  if exponent % 2 == 0:
    lowercase__           =  _modexpt(_SCREAMING_SNAKE_CASE		,						exponent // 2		,						_SCREAMING_SNAKE_CASE		) % modulo_value
    return (x * x) % modulo_value
  else:
    return (base * _modexpt(_SCREAMING_SNAKE_CASE		,						exponent - 1		,						_SCREAMING_SNAKE_CASE		)) % modulo_value




def       __UpperCamelCase  (_SCREAMING_SNAKE_CASE = 1777		,						_SCREAMING_SNAKE_CASE = 1855		,						_SCREAMING_SNAKE_CASE = 8		)    ->       int:
  lowercase__           =  base
  for _ in range(1		,						_SCREAMING_SNAKE_CASE		):
    lowercase__           =  _modexpt(_SCREAMING_SNAKE_CASE		,						_SCREAMING_SNAKE_CASE		,						10**digits		)

  return result


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


