Help me in solving SAMESTR problem

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My issue

Why do we need to find the K if all the characters are same in the string. if s=“111” then why should we print k=2. Can anybody answer ?

My code

/*
        * author : Vinaymiles
        * created: 10/09/2024
*/
//#include <boost/multiprecision/cpp_int.hpp>
//using namespace boost::multiprecision;
//-------------------------------------------------------------------

#include <bits/stdc++.h>
//#include "algo/debug.h"

#define vi vector<long long int>
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define ll long long 
#define ff first
#define ss second
#define yes cout<<"YES"<<endl;
#define no cout<<"NO"<<endl;
using namespace std;

#define JAYSHRIRAM ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);


int main(int argc, char* argv[])  {
    JAYSHRIRAM
     
    int t; 
    for(cin>>t; t ; t--) 
    {
       int n; cin>>n;
       string s;
       cin>>s;
       // I am still confuse with the problem.
    }
    
    return 0;
}

//cout<<numeric_limits<double>::max()<<endl;

Problem Link: Convert string Practice Coding Problem