On a Rubik's cube there are 54 moves that you can execute, for example, turn the right face anti-clockwise, or rotate the top face and the horizontal slice twice. To notate any move, each face (or slice) has a letter assigned to it. To move that face clockwise once, you just write the letter on its own, so for the top face it would be
U (for "up"). You can put a
' (pronounced "prime") after the letter to notate moving the face anti-clockwise, or a
2 to turn the face twice. You can see more details on this here.
Your challenge is to take a list of moves which all rotate the same face, and simplify it into one move. For example if the input was
R R2, you'd be turning the right face clockwise once, then twice, which results in the equivalent of
R' — turning the right face anti-clockwise once.
- If the result doesn't modify the cube, the output should be nothing or a falsey value.
- Input must be taken in the proper notation described above, otherwise, it's up to you.
- You can assume that no move will have a
R R2 -> R' L2 L L' L -> L' u' u2 u2 -> u' y y' -> F F' F F F' -> F E' E2 E E E' -> E2