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## Learning Opportunities

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

## Statement

## Goal

A 2×2×2 Rubik's cube is quite complicated. In this puzzle, we will focus on the mono-cube, the 1×1×1 Rubik's cube!You are given a set of

`rotations`and two

`faces`. Apply the

`rotations`to the cube and locate the two

`faces`after the

`rotations`.

**Face notation**

**Rotation notation**

A rotation without the prime symbol

A rotation with the prime symbol

**Example 1**

Means: rotate cube clockwise on

Answer: Output

**Example 2**

Means: rotate cube clockwise on

Answer: Output

Input

**Line 1:**Space-separated

`rotations`in

**Line 2:**Initial direction of

`face1`the first queried face.

**Line 3:**Initial direction of

`face2`the second queried face.

Output

**Line 1:**Direction of

`face1`after the

`rotations`.

**Line 2:**Direction of

`face2`after the

`rotations`.

Constraints

1 ≤ length of

`rotations`≤ 100Example

Input

z D L

Output

L U

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