digraph {
    "start\n(0, 0)" -> "N\n(0, 1)"
        "N\n(0, 1)" -> "N N\n(0, 2)"
        "N\n(0, 1)" -> "N E\n(1, 1)"
        "N\n(0, 1)" -> "N NE\n(1, 2)"
    "start\n(0, 0)" -> "E\n(1, 0)"
        "E\n(1, 0)" -> "E N\n(1, 1)"
        "E\n(1, 0)" -> "E E\n(2, 0)"
        "E\n(1, 0)" -> "E NE\n(2, 1)"
    "start\n(0, 0)" -> "NE\n(1, 1)"
        "NE\n(1, 1)" -> "NE N\n(1, 2)"
        "NE\n(1, 1)" -> "NE E\n(2, 1)"
        "NE\n(1, 1)" -> "NE NE\n(2, 2)"
}