#include<iostream>
#include<cassert>
#include<atcoder/string>
using namespace std;
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int T;cin>>T;
	for(;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++)
		{
			int len=Z[i];
			if(i+len>=N)
			{
				if(i<N-i)ans++;
			}
			else if(len>=i)ans++;
			else if(S[len]<S[i+len])ans++;
		}
		cout<<ans<<"\n";
	}
}