import java.util.Scanner;
// 注意类名必须为 Main, 不要有任何 package xxx 信息
public class Main {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int num = in.nextInt();
for (int i = 0; i < num; i++) {
int len = in.nextInt();
String str = in.next();
// aba aba 模拟首尾连接
String doubleStr = str + str;
int tmp = 1;
boolean flag = false;
for (int j = 0; j < str.length(); j++) {
if (doubleStr.charAt(j) == doubleStr.charAt(j + tmp)) {
flag = true;
break;
}
if(j == str.length() - 1 && tmp < str.length() - 1) {
j = -1;
tmp++;
}
}
System.out.println(flag ? tmp - 1 : -1);
}
}
}