#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 998244353;
// constexpr int MOD = 1000000007;
constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1};
constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1};
constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U>
inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U>
inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

template <typename T>
std::vector<int> z_algorithm(const T &s) {
  const int n = s.size();
  std::vector<int> res(n, 0);
  for (int i = 1, j = 0; i < n; ++i) {
    if (i + res[i - j] < j + res[j]) {
      res[i] = res[i - j];
    } else {
      res[i] = std::max(j + res[j] - i, 0);
      while (i + res[i] < n && s[i + res[i]] == s[res[i]]) ++res[i];
      j = i;
    }
  }
  res[0] = n;
  return res;
}

void solve() {
  int n; string s; cin >> n >> s;
  const vector<int> z = z_algorithm(s);
  int ans = 0;
  FOR(i, 1, n) {
    const int cp = min({z[i], i, n - i});
    if (cp == i && cp == n - i) {
      // U = V
    } else if (cp == i) {
      ++ans;
    } else if (cp == n - i) {
      // U > V
    } else {
      ans += s[cp] < s[i + cp];
    }
  }
  cout << ans << '\n';
}

int main() {
  int t; cin >> t;
  while (t--) solve();
  return 0;
}