#include <bits/stdc++.h>
#include <atcoder/string>
using namespace std;

int main() {
	int t; cin >> t;
	while (t--) {
		int n; string s; cin >> n >> s;
		vector<int> z = atcoder::z_algorithm(s);
		int ans = 0;
		for (int i = 1; i < n; i++) {
			if (i <	z[i]) ans++;
			else if (i == z[i]) {
				if (2 * i < n) ans++;
			} else {
				int k = z[i];
				if (i + k < n && s[k] < s[i + k]) ans++;
			}
		}
		cout << ans << '\n';
	}
}