#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,n) for(int i=0;i<n;i++)
using namespace std;
using namespace atcoder;
typedef long long ll;
typedef vector<int> vi;
typedef vector<long long> vl;
typedef vector<vector<int>> vvi;
typedef vector<vector<long long>> vvl;
typedef pair<int,int> P;
typedef long double ld;

void solve(){
	int n;
	cin >> n;
	string s;
	cin >> s;
	vi z = z_algorithm(s);
	int ans = 0;
	rep(p, n){
		if(p == 0) continue;
		int q = n - p;
		if(z[p] > p){
			ans++;
		}else{
			if(z[p] == p){
				if(q == p){
				}else ans++;
			}else{
				if(p + z[p] == n){
				}else{
				if(s[z[p]] < s[p + z[p]]) ans++;
				}
			}
		}
	}
	cout << ans << "\n";
}

int main(){
	int t;
	cin >> t;
	rep(i, t) solve();
	return 0;
}