#pragma region Macros
#include <bits/stdc++.h>
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define ll long long
#define OVERLOAD(e1, e2, e3, e4, NAME, ...) NAME
#define _rep1(i, n) for (long long i = 0; i < n; i++)
#define _rep2(i, a, b) for (long long i = a; i < b; ++i)
#define _rep3(i, a, b, t) \
    for (long long i = a; i * (t / abs(t)) < b * (t / abs(t)); i += t)
#define rep(...) OVERLOAD(__VA_ARGS__, _rep3, _rep2, _rep1, _)(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()
#define sz(x) (ll) x.size()
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define pcnt __builtin_popcountll
#define SORT(v) sort(all(v))
#define UNIQUE(v) \
    SORT(v);      \
    v.erase(unique(v.begin(), v.end()), v.end());
#define COPY(A, B) copy(all(A), B.begin());
#define REV(v) reverse(all(v))
#define MAX(x) *max_element(all(x))
#define MIN(x) *min_element(all(x))

#ifdef LOCAL
#define dbg(x)                                \
    cout << __LINE__ << " : " << #x << " = "; \
    print(x);
#else
#define dbg(x) true
#endif

using namespace std;
template <typename T>
using vc = vector<T>;
template <typename T>
using vvc = vector<vc<T>>;
template <typename T>
using vvvc = vector<vvc<T>>;

template <typename T>
bool chmin(T &k, T m) {
    bool ret = k > m;
    k = min(k, m);
    return ret;
}
template <typename T>
bool chmax(T &k, T m) {
    bool ret = k < m;
    k = max(k, m);
    return ret;
}

template <typename T>
inline void print(const vector<T> &v, string s = " ") {
    for (ll i = 0; i < (ll)v.size(); i++)
        cout << v[i] << (i != (ll)v.size() - 1 ? s : "\n");
}
template <typename T, typename S>
inline void print(const pair<T, S> &p) {
    cout << p.first << " " << p.second << endl;
}
template <typename T>
inline void print(const T &x) {
    cout << x << "\n";
}
template <typename T, typename S>
inline void print(const vector<pair<T, S>> &v) {
    for (auto &&p : v) print(p);
}
void yes(bool a) { cout << (a ? "yes" : "no") << endl; }
void YES(bool a) { cout << (a ? "YES" : "NO") << endl; }
void Yes(bool a) { cout << (a ? "Yes" : "No") << endl; }
template <typename T>
T SUM(vc<T> As) {
    T ret = 0;
    for (T a : As) ret += a;
    return ret;
}

#pragma endregion

const ll INF = numeric_limits<long long>::max();

template <typename T = char>
struct ZAlgorithm {
   private:
    vector<T> s;
    vector<int> deleted;
    vector<vector<int>> delete_hist;
    vector<int> z;
    queue<int> cur;

   public:
    ZAlgorithm() : delete_hist{{}} {}

    template <typename S>
    ZAlgorithm(const S &s) : ZAlgorithm() {
        for (auto &c : s) add(c);
    }

    void add(const T &c) {
        s.emplace_back(c);
        delete_hist.emplace_back();
        deleted.emplace_back(0);
        z.emplace_back(0);
        z[0]++;

        int len = (int)s.size();
        if (len == 1) return;
        if (s[0] == c)
            cur.emplace(len - 1);
        else
            deleted[len - 1] = 1;

        auto set = [&](int t, int len) {
            deleted[t] = 1;
            delete_hist[len].emplace_back(t);
            z[t] = len - t - 1;
        };

        while (not cur.empty()) {
            int t = cur.front();
            if (deleted[t]) {
                cur.pop();
            } else if (s[len - t - 1] == s.back()) {
                break;
            } else {
                set(t, len);
                cur.pop();
            }
        }

        if (not cur.empty()) {
            int t = cur.front();
            for (auto &p : delete_hist[len - t]) {
                set(p + t, len);
            }
        }
    }

    int get(int k) const { return deleted[k] ? z[k] : (int)s.size() - k; }

    int operator[](int k) const { return get(k); }

    vector<int> get() {
        vector<int> ret(s.size());
        for (int i = 0; i < (int)s.size(); i++) {
            ret[i] = get(i);
        }
        return ret;
    }
};

void solve() {
    ll N;
    cin >> N;
    string S;
    cin >> S;

    ZAlgorithm zal(S);
    ll ans = 0;
    rep(i, 1, N) {
        ll k = zal.get(i);
        if (k > i)
            ans++;
        else if (i + k >= N)
            continue;
        else {
            if (i == k) {
                ans++;
            } else if (S[k] < S[i + k])
                ans++;
        }
    }
    print(ans);
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(15);

    ll T;
    cin >> T;
    rep(_, T)

        solve();
}