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D - Swap Hats

Score : $400$ points

Problem Statement

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?

Constraints

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

Input

Input is given from Standard Input in the following format:

$S_1$ $S_2$ $S_3$

$T_1$ $T_2$ $T_3$

Output

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.

R G B
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 $2$.