Listing 28.14, NineTail.java, presents a solution for the nine tails problem. Revise this program for the 4 * 4 16 tails problem. Note that it is possible that a solution may not exist for a starting pattern. If so, report that no solution exists.

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1 import java.util.Scanner; 2 3 public class NineTail { 4 public static void main(String[] args) { // Prompt the user to enter nine coins' Hs and Ts System.out.print("Enter the initial nine coins Hs and Ts: "); Scanner input = new Scanner(System.in); String s = input.nextline(); char[] initialNode = s.toCharArray(); 10 11 12 13 14 15 16 17 18 19 20 } NineTailModel model = new NineTailModel(); java.util.List path = model.getShortestPath(NineTai1 Model.getIndex(initialNode)); System.out.println("The steps to flip the coins are "); for (int i = 0; i < path.size(); i++) NineTailModel.printNode( NineTail Model.getNode (path.get(i).intValue()));