#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
const ll ILL=2167167167167167167;
const int INF=2100000000;
const int mod=998244353;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}


namespace po167{
//LCP vec[0,n) and vec[i,n)
//for all i 
//O(vec.size())
template<class T>
std::vector<int> Z_algo(std::vector<T> &vec){
	int n=vec.size();
	int ind=1,j=0,k;
	std::vector<int> ans(n,0);
	ans[0]=n;
	while(ind<n){
		while(ind+j<n&&vec[j]==vec[ind+j]) j++;
		ans[ind]=j;
		if(j==0){
			ind++;
			continue;
		}
		k=1;
		while(k+ind<n&&ans[k]+k<j){
			ans[k+ind]=ans[k];
			k++;
		}
		j-=k;
		ind+=k;
	}
	return ans;
}
std::vector<int> Z_algo(std::string &vec){
	int n=vec.size();
	int ind=1,j=0,k;
	std::vector<int> ans(n,0);
	ans[0]=n;
	while(ind<n){
		while(ind+j<n&&vec[j]==vec[ind+j]) j++;
		ans[ind]=j;
		if(j==0){
			ind++;
			continue;
		}
		k=1;
		while(k+ind<n&&ans[k]+k<j){
			ans[k+ind]=ans[k];
			k++;
		}
		j-=k;
		ind+=k;
	}
	return ans;
}
}
using po167::Z_algo;

void solve();
// oddloop
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int t=1;
	cin>>t;
	rep(i,0,t) solve();
}

void solve(){
	int N;
    string S;
    cin>>N>>S;
    auto Z=Z_algo(S);
    int ans=0;
    rep(i,1,N){
        if(Z[i]==N-i) ans+=(int)(i<(N-i));
        else if(Z[i]>=i) ans++;
        else if(S[Z[i]]<S[Z[i]+i]) ans++;
    }
    cout<<ans<<"\n";
}