from typing import Iterator, Tuple

DISPLAY_WIDTH = 240
DISPLAY_HEIGHT = 240


def grid(dim: int, grid_cells: int, cell: int) -> int:
    step = dim // grid_cells
    ofs = step // 2
    return cell * step + ofs


LEFT = grid(DISPLAY_WIDTH, 3, 0)
MID = grid(DISPLAY_WIDTH, 3, 1)
RIGHT = grid(DISPLAY_WIDTH, 3, 2)

TOP = grid(DISPLAY_HEIGHT, 4, 0)
BOTTOM = grid(DISPLAY_HEIGHT, 4, 3)

OK = (RIGHT, BOTTOM)
CANCEL = (LEFT, BOTTOM)
INFO = (MID, BOTTOM)

CONFIRM_WORD = (MID, TOP)

RESET_MINUS = (LEFT, grid(DISPLAY_HEIGHT, 5, 1))
RESET_PLUS = (RIGHT, grid(DISPLAY_HEIGHT, 5, 1))

RESET_WORD_CHECK = [
    (MID, grid(DISPLAY_HEIGHT, 6, 3)),
    (MID, grid(DISPLAY_HEIGHT, 6, 4)),
    (MID, grid(DISPLAY_HEIGHT, 6, 5)),
]


BUTTON_LETTERS = ("ab", "cd", "ef", "ghij", "klm", "nopq", "rs", "tuv", "wxyz")


def grid35(x: int, y: int) -> Tuple[int, int]:
    return grid(DISPLAY_WIDTH, 3, x), grid(DISPLAY_HEIGHT, 5, y)


def grid34(x: int, y: int) -> Tuple[int, int]:
    return grid(DISPLAY_WIDTH, 3, x), grid(DISPLAY_HEIGHT, 4, y)


def type_word(word: str) -> Iterator[Tuple[int, int]]:
    for l in word:
        idx = next(i for i, letters in enumerate(BUTTON_LETTERS) if l in letters)
        grid_x = idx % 3
        grid_y = idx // 3 + 1  # first line is empty
        yield grid34(grid_x, grid_y)