Problem9148--ABC333 —— B - Pentagon

9148: ABC333 —— B - Pentagon

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

A regular pentagon $P$ is shown in the figure below.

Determine whether the length of the line segment connecting points $S_1$ and $S_2$ of $P$ equals the length of the line segment connecting points $T_1$ and $T_2$.

Input

The input is given from Standard Input in the following format:

```
$S_1S_2$
$T_1T_2$
```

Output

If the length of the line segment connecting points $S_1$ and $S_2$ of $P$ equals the length of the line segment connecting points $T_1$ and $T_2$, print `Yes`; otherwise, print `No`.

Constraints

-   Each of $S_1$, $S_2$, $T_1$, and $T_2$ is one of the characters `A`, `B`, `C`, `D`, and `E`.
-   $S_1 \neq S_2$
-   $T_1 \neq T_2$

Sample 1 Input

AC
EC

Sample 1 Output

Yes
The length of the line segment connecting point A and point C of P equals the length of the line segment connecting point E and point C.

Sample 2 Input

DA
EA

Sample 2 Output

No
The length of the line segment connecting point D and point A of P does not equal the length of the line segment connecting point E and point A.

Sample 3 Input

BD
BD

Sample 3 Output

Yes

HINT

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