Hello

I am a beginner in competitive programming, I having a hard time to solve this 
problem https://icpcarchive.ecs.baylor.edu/external/40/4071.pdf, it is an easy 
exercise but I am stuck, any hint to solve this problem?
This is my code so far, I am trying to do the simulation with a while loop but 
It is not working because sometimes I get the correct answer, can someone guide 
me? maybe I am totally lost  

import java.io.*;
class Main2 {
        public static void main(String[] args) throws IOException {
                BufferedReader bf = new BufferedReader(new 
InputStreamReader(System.in));
                int t = Integer.parseInt(bf.readLine());
                String n = "";
                String nameChosen = "";
                int gum = 0;
                
                for(int i = 0; i< t; i++){
                        n = bf.readLine();
                        nameChosen =bf.readLine();;
                        gum = Integer.parseInt(bf.readLine());
                        solve(n,nameChosen, gum);
                }
                
        }
        
        public static void solve(String arr,String name, int n){
                String[] names = arr.split(" ");
                int pos = 0;
                for(int j= 0; j< names.length;j++){
                        if(names[j].equals(name)){
                                pos = j;
                        }
                }
                int k = 0;
                String nom = "";
                System.out.println("pos " + pos);
                System.out.println("length " + names.length);
                
                while(n >= 0){
                        if(pos > names.length -1){
                                pos = 0;
                                nom = names[pos];
                        }else{
                                nom = names[pos];
                                System.out.println("nom " + nom);
                                pos++;
                        }
                        n--;
                }
                System.out.println(nom);
        }
}

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