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Contest: Task: Related: TaskA TaskC

Score : $200$ points

Problem Statement

Takahashi has a string $S$ consisting of lowercase English letters.

On this string, he will do the operation below just once.

  • First, choose a non-negative integer $K$.
  • Then, shift each character of $S$ to the right by $K$ (see below).

Here,

  • a shifted to the right by $1$ is b;
  • b shifted to the right by $1$ is c;
  • c shifted to the right by $1$ is d;
  • $\cdots$
  • y shifted to the right by $1$ is z;
  • z shifted to the right by $1$ is a.

For example, b shifted to the right by $4$ is f, and y shifted to the right by $3$ is b.

You are given a string $T$. Determine whether Takahashi can make $S$ equal $T$ by the operation above.

Constraints

  • Each of $S$ and $T$ is a string of length between $1$ and $10^5$ (inclusive) consisting of lowercase English letters.
  • The lengths of $S$ and $T$ are equal.

Input

Input is given from Standard Input in the following format:

$S$
$T$

Output

If Takahashi can make $S$ equal $T$, print Yes; if not, print No.

Sample Input 1

abc
ijk

Sample Output 1

Yes

When Takahashi chooses $K=8$,

  • a is shifted to the right by $8$ and becomes i,
  • b is shifted to the right by $8$ and becomes j,
  • c is shifted to the right by $8$ and becomes k,

and now $S$ and $T$ are equal.
Therefore, he can make $S$ equal $T$, so Yes should be printed.

Sample Input 2

z
a

Sample Output 2

Yes

Choosing $K=1$ makes $S$ and $T$ equal.
Note that the letter on the right of z is a.

Sample Input 3

ppq
qqp

Sample Output 3

No

There is no non-negative integer $K$ that he can choose to make $S$ equal $T$, so No should be printed.

Sample Input 4

atcoder
atcoder

Sample Output 4

Yes

Choosing $K=0$ makes $S$ and $T$ equal.