(state, read: write, direction, new_state)

(0, 0: 0, R, 0)
(0, 1: 0, R, 1)

(1, 0: 0, R, 2)
(1, 1: 0, R, 3)

(2, 0: 0, R, 4)
(2, 1: 1, R, 0)

(3, 0: 1, R, 1)
(3, 1: 1, R, 2)

(4, 0: 1, R, 3)
(4, 1: 1, R, 4)

...[][][]110011[][][]...
...[][][]1001010[][][]...
...[][][]0011001[][][]...