Distinct Digits

You are given two integers $l$ and $r$. Find an integer $x$ that satisfies the following conditions.

• $l \le x \le r$.
• All digits of $x$ are different.

If there are multiple answers, print any of them.

Input

The first line contains two integers $l$ and $r$ ($1 \le l \le r \le 10^{5}$).

Output

If an answer exists, print any of them. Otherwise, print $-1$.

Notes

In the first example, $123$ is one possible answer. The number $121$ is not valid, because the digit $1$ appears more than once.

In the second example, there is no valid answer.