B. String Modification
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Vasya has a string $s$ of length $n$. He decides to make the following modification to the string:

1. Pick an integer $k$, ($1 \leq k \leq n$).
2. For $i$ from $1$ to $n-k+1$, reverse the substring $s[i:i+k-1]$ of $s$. For example, if string $s$ is qwer and $k = 2$, below is the series of transformations the string goes through:
• qwer (original string)
• wqer (after reversing the first substring of length $2$)
• weqr (after reversing the second substring of length $2$)
• werq (after reversing the last substring of length $2$)
Hence, the resulting string after modifying $s$ with $k = 2$ is werq.

Vasya wants to choose a $k$ such that the string obtained after the above-mentioned modification is lexicographically smallest possible among all choices of $k$. Among all such $k$, he wants to choose the smallest one. Since he is busy attending Felicity 2020, he asks for your help.

A string $a$ is lexicographically smaller than a string $b$ if and only if one of the following holds:

• $a$ is a prefix of $b$, but $a \ne b$;
• in the first position where $a$ and $b$ differ, the string $a$ has a letter that appears earlier in the alphabet than the corresponding letter in $b$.
Input

Each test contains multiple test cases.

The first line contains the number of test cases $t$ ($1 \le t \le 5000$). The description of the test cases follows.

The first line of each test case contains a single integer $n$ ($1 \le n \le 5000$) — the length of the string $s$.

The second line of each test case contains the string $s$ of $n$ lowercase latin letters.

It is guaranteed that the sum of $n$ over all test cases does not exceed $5000$.

Output

For each testcase output two lines:

In the first line output the lexicographically smallest string $s'$ achievable after the above-mentioned modification.

In the second line output the appropriate value of $k$ ($1 \leq k \leq n$) that you chose for performing the modification. If there are multiple values of $k$ that give the lexicographically smallest string, output the smallest value of $k$ among them.

Example
Input
6
4
abab
6
qwerty
5
aaaaa
6
9
lfpbavjsm
1
p

Output
abab
1
ertyqw
3
aaaaa
1
aksala
6
avjsmbpfl
5
p
1

Note

In the first testcase of the first sample, the string modification results for the sample abab are as follows :

• for $k = 1$ : abab
• for $k = 2$ : baba
• for $k = 3$ : abab
• for $k = 4$ : baba

The lexicographically smallest string achievable through modification is abab for $k = 1$ and $3$. Smallest value of $k$ needed to achieve is hence $1$.