#include <bits/stdc++.h>
using namespace std;
int main() {
int t;
cin>>t;
while(t--){
int n;
cin>>n;
string s;
cin>>s;
int count=0,b=0;
for(int i=0;i<n-1;i++){
if(s[i]!=s[i+1]){
count++;
}
else{
b++;
}
}
if(b>=1 && s[0]!=s[n-1]) cout<<count+2<<endl;
else cout<<count+1<<endl;
}
return 0;
}
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