Practice Strings and Lists with the exercise "2×2×2 Rubik’s cube movements"

Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Strings
Lists
Group theory

Statement

Goal

You have to print the colours of the Front side of a 2×2×2 Rubik’s cube after some moves.
The colours are named by the first letter of each side (Front, Back, Right, Left, Up, Down).
The moves are named the same way if you turn the side clockwise.
For example F moves the Front side clockwise, F' turns it anticlockwise and F2 turns it twice. B turns it clockwise when you look at the Back side.
You won’t be given moves such as F5, B52 or U'3.

Input

The moves in one single line, for example B' possibly with dots (for human readability, you can ignore them).

Output

The colours in two lines, for example:
FF
RR

Constraints

Example

Input

Output

FD
FD

Solve it

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