There are three Takahashis numbered $1$, $2$ and $3$, and three hats colored red, green, and blue. Each Takahashi is wearing one hat. The color of the hat that Takahashi $i$ is currently wearing is represented by a character $S_i$. Here, `R` corresponds to red, `G` to green, and `B` to blue. Now, they will do the following operation exactly $10^{18}$ times.

Operation

-   Choose two out of the three Takahashis. The two exchange the hats they are wearing.

Is it possible to make Takahashi $i$ wearing the hat of color corresponding to character $T_i$ after the $10^{18}$ repetitions?

Input is given from Standard Input in the following format:

```
$S_1$ $S_2$ $S_3$
$T_1$ $T_2$ $T_3$
```

If it is possible to make Takahashi $i$ wearing the hat of color corresponding to character $T_i$ after the $10^{18}$ repetitions, print `Yes`; otherwise, print `No`.

-   $S_1, S_2, S_3$ are a permutation of `R`, `G`, `B`.
-   $T_1, T_2, T_3$ are a permutation of `R`, `G`, `B`.

Yes

For example, the objective can be achieved by repeating $10^{18}$ times the operation of swapping the hats of Takahashi 1 and Takahashi 2.