Description

Input

The first line contains a single integer $t$ $(1 \le t \le 10^{5})$  — the number of test cases. The description of test cases follows.

The first line of each test case contains a single integer $n$ $(2 \le n \le 10^{6})$  — the length of the string $s$.

The second line of each test case contains a string $s$ consisting only of characters 'a', 'b' and 'c'.

It is guaranteed that the sum of $n$ over all test cases does not exceed $10^{6}$.

Output

For each test case, output the length of the smallest substring which satisfies the given conditions or print $-1$ if there is no such substring.

3
2
aa
5
cbabb
8
cacabccc

2
-1
3

Note

Consider the first test case. In the substring "aa", 'a' occurs twice, while 'b' and 'c' occur zero times. Since 'a' occurs strictly more times than 'b' and 'c', the substring "aa" satisfies the condition and the answer is $2$. The substring "a" also satisfies this condition, however its length is not at least $2$.

In the second test case, it can be shown that in none of the substrings of "cbabb" does 'a' occur strictly more times than 'b' and 'c' each.

In the third test case, "cacabccc", the length of the smallest substring that satisfies the conditions is $3$.