Solve the programming task below in a Python markdown code block.
You are given a string $s$ of length $n$ consisting of characters a and/or b.

Let $\operatorname{AB}(s)$ be the number of occurrences of string ab in $s$ as a substring. Analogically, $\operatorname{BA}(s)$ is the number of occurrences of ba in $s$ as a substring.

In one step, you can choose any index $i$ and replace $s_i$ with character a or b.

What is the minimum number of steps you need to make to achieve $\operatorname{AB}(s) = \operatorname{BA}(s)$?

Reminder:

The number of occurrences of string $d$ in $s$ as substring is the number of indices $i$ ($1 \le i \le |s| - |d| + 1$) such that substring $s_i s_{i + 1} \dots s_{i + |d| - 1}$ is equal to $d$. For example, $\operatorname{AB}($aabbbabaa$) = 2$ since there are two indices $i$: $i = 2$ where aabbbabaa and $i = 6$ where aabbbabaa.


-----Input-----

Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 1000$). Description of the test cases follows.

The first and only line of each test case contains a single string $s$ ($1 \le |s| \le 100$, where $|s|$ is the length of the string $s$), consisting only of characters a and/or b.


-----Output-----

For each test case, print the resulting string $s$ with $\operatorname{AB}(s) = \operatorname{BA}(s)$ you'll get making the minimum number of steps.

If there are multiple answers, print any of them.


-----Examples-----

Input
4
b
aabbbabaa
abbb
abbaab
Output
b
aabbbabaa
bbbb
abbaaa


-----Note-----

In the first test case, both $\operatorname{AB}(s) = 0$ and $\operatorname{BA}(s) = 0$ (there are no occurrences of ab (ba) in b), so can leave $s$ untouched.

In the second test case, $\operatorname{AB}(s) = 2$ and $\operatorname{BA}(s) = 2$, so you can leave $s$ untouched.

In the third test case, $\operatorname{AB}(s) = 1$ and $\operatorname{BA}(s) = 0$. For example, we can change $s_1$ to b and make both values zero.

In the fourth test case, $\operatorname{AB}(s) = 2$ and $\operatorname{BA}(s) = 1$. For example, we can change $s_6$ to a and make both values equal to $1$.