content: package v117;
  import java.io.BufferedReader;
  import java.io.IOException;
  import java.io.InputStream;
  import java.io.InputStreamReader;
  import java.io.PrintWriter;
  import java.util.StringTokenizer;
  
  public class DigitalFortress_UVa11716 {
  
  	public static void main(String[] args) throws IOException {
  		Scanner sc = new Scanner(System.in);
  		PrintWriter out = new PrintWriter(System.out);
  
  		int tc = sc.nextInt();
  		while(tc-->0)
  		{
  			String s = sc.nextLine();
  			int n = (int) Math.round(Math.sqrt(s.length()));
  			if(n * n != s.length())
  				out.println("INVALID");
  			else
  			{
  				StringBuilder ans = new StringBuilder();
  				for(int i = 0; i < n; ++i)
  					for(int j = 0; j < n; ++j)
  						ans.append(s.charAt(j * n + i));
  				out.println(ans);
  			}
  		}
  		out.flush();
  		out.close();
  	}
  
  	static class Scanner 
  	{
  		StringTokenizer st;
  		BufferedReader br;
  
  		public Scanner(InputStream s){	br = new BufferedReader(new InputStreamReader(s));}
  
  		public String next() throws IOException 
  		{
  			while (st == null || !st.hasMoreTokens()) 
  				st = new StringTokenizer(br.readLine());
  			return st.nextToken();
  		}
  
  		public int nextInt() throws IOException {return Integer.parseInt(next());}
  
  		public long nextLong() throws IOException {return Long.parseLong(next());}
  
  		public String nextLine() throws IOException {return br.readLine();}
  
  		public double nextDouble() throws IOException { return Double.parseDouble(next()); }
  
  		public boolean ready() throws IOException {return br.ready();} 
  	}
  } 