There are two screens which can display sequences of uppercase Latin letters. Initially, both screens display nothing.

In one second, you can do one of the following two actions:

• choose a screen and an uppercase Latin letter, and append that letter to the end of the sequence displayed on that screen;
• choose a screen and copy the sequence from it to the other screen, overwriting the sequence that was displayed on the other screen.

You have to calculate the minimum number of seconds you have to spend so that the first screen displays the sequence $s$, and the second screen displays the sequence $t$.

Input

The first line contains one integer $q$ ($1 \le q \le 500$) — the number of test cases.

Each test case consists of two lines. The first line contains the string $s$, and the second line contains the string $t$ ($1 \le |s|, |t| \le 100$). Both strings consist of uppercase Latin letters.

Output

For each test case, print one integer — the minimum possible number of seconds you have to spend so that the first screen displays the sequence $s$, and the second screen displays the sequence $t$.

Note

In the first test case, the following sequence of actions is possible:

• spend $6$ seconds to write the sequence GARAGE on the first screen;
• copy the sequence from the first screen to the second screen;
• spend $7$ seconds to complete the sequence on the second screen by writing FORSALE.

In the second test case, the following sequence of actions is possible:

• spend $1$ second to write the sequence A on the second screen;
• copy the sequence from the second screen to the first screen;
• spend $4$ seconds to complete the sequence on the first screen by writing BCDE;
• spend $4$ seconds to complete the sequence on the second screen by writing ABCD.

In the third test case, the fastest way to display the sequences is to type both of them character by character without copying, and this requires $16$ seconds.

Samples

3
GARAGE
GARAGEFORSALE
ABCDE
AABCD
TRAINING
DRAINING

14
10
16