//*******************************************************************
//   Recurse3.java
//*******************************************************************

public class Recurse3
{
   public static String hanoi(int nDisks, int fromPeg, int toPeg)
   {
      int helpPeg;
      String Sol1, Sol2, myStep, mySol;;

      if ( nDisks == 1 )
	 return fromPeg + " -> " + toPeg + "\n";
      else
       {
         helpPeg = 6 - fromPeg - toPeg;  // fromPeg + helpPeg + toPeg = 6

         Sol1 = hanoi(nDisks-1, fromPeg, helpPeg);
	 myStep = fromPeg + " -> " + toPeg + "\n";
	 Sol2 = hanoi(nDisks-1, helpPeg, toPeg);

         mySol = Sol1 + myStep + Sol2;  // + = String concatenation !

	 return mySol;
       }
   }

   public static void main (String[] args)
   {
      int n = 4;  

      String StepsToSolution;

      StepsToSolution = hanoi(n, 1, 3);

      System.out.println(StepsToSolution);
   }
}