Think Twice, Code Once
#include
#define il inline
#define get getchar
#define put putchar
#define is isdigit
#define int long long
#define dfor(i,a,b) for(int i=a;i<=b;++i)
#define dforr(i,a,b) for(int i=a;i>=b;--i)
#define dforn(i,a,b) for(int i=a;i<=b;++i,put(10))
#define mem(a,b) memset(a,b,sizeof a)
#define memc(a,b) memcpy(a,b,sizeof a)
#define pr 114514191981
#define gg(a) cout<<a,put(32)
#define INF 0x7fffffff
#define tt(x) cout<<x<<'\n'
#define endl '\n'
#define ls i<<1
#define rs i<<1|1
#define la(r) tr[r].ch[0]
#define ra(r) tr[r].ch[1]
#define lowbit(x) (x&-x)
#define ct cin.tie(nullptr),ios_base::sync_with_stdio(false)
using namespace std;
typedef unsigned int ull;
typedef pair<int, int> pii;
int read(void) {
int x=0,f=1;char c=get();
while(!is(c)) (f=c==45?-1:1),c=get();
while(is(c)) x=(x<<1)+(x<<3)+(c^48),c=get();
return x*f;
}
void write(int x) {
if (x < 0) x = -x, put(45);
if (x > 9) write(x / 10);
put((x % 10) ^ 48);
}
#define writeln(a) write(a), put(10)
#define writesp(a) write(a), put(32)
#define writessp(a) put(32), write(a)
const int N = 1e5 + 10, M = 1e5 + 10, SN = 1e3 + 10, mod = 998244353;
struct p {
char s;
int pos;
il bool operator <(const p & b) const {
return s < b.s || (s == b.s && pos > b.pos);
}
};
signed main() {
int T = read();
while (T--) {
int n = read();
priority_queue<p> q;
string s;
cin >> s;
bool f2 = 1;
for (int i = 0; i < s.size(); ++i) q.push({s[i], i});
vector<p> a;
while (!q.empty()) {
a.push_back(q.top());
int pos = q.top().pos; q.pop();
while (!q.empty() && q.top().pos < pos) q.pop();
}
int l = 0, r = a.size() - 1, cnt = a.size() >> 1;
int cnt1 = 0;
for (int i = 0; i < a.size(); ++i) {
if (a[i].s == a[0].s) ++cnt1;
}
while (cnt--) swap(s[a[l++].pos], s[a[r--].pos]);
for (int i = 1; i < s.size(); ++i) {
if (s[i] < s[i - 1]) {f2 = 0; break;}
}
f2? (write(a.size() - cnt1), put(10)): puts("-1");
}
return 0;
}