Game counting to 21

Instructions, two players take turns by entering 1, 2, or 3 
which is then added to a running total. Whoever makes the score go over twenty one loses

Player, please enter 1, 2, or 3 >>> 
1
The total is 1
Computer entered 1
The total is 2
The total is 2
Player, please enter 1, 2, or 3 >>> 
3
The total is 5
Computer entered 3
The total is 8
The total is 8
Player, please enter 1, 2, or 3 >>> 
1
The total is 9
Computer entered 3
The total is 12
The total is 12
Player, please enter 1, 2, or 3 >>> 
1
The total is 13
Computer entered 1
The total is 14
The total is 14
Player, please enter 1, 2, or 3 >>> 
3
The total is 17
Computer entered 1
The total is 18
The total is 18
Player, please enter 1, 2, or 3 >>> 
3
The total is 21
Player Wins!
Computer entered 1
The total is 26
The total is 26

Computer: 1
Player: 2, 3, 4
Computer: 5
Player: 6, 7, 8
Computer: 9
Player: 10, 11, 12
Computer: 13
Player: 14, 15, 16
Computer: 17
Player: 18, 19, 20
Computer: 21
Player: 22... LOST!

import java.util.Scanner;
import java.io.PrintStream;

public class HumanPlayer implements CursedNumberGame.Player {
    private static final String HELP = "help";

    private final Scanner in;
    private final PrintStream out;

    public HumanPlayer(Scanner in, PrintStream out) {
        this.in = in;
        this.out = out;
    }

    @Override
    public int play(int currentSum, int max, int avoid) {
        out.printf("\nEnter a number from 1 to %d inclusive: ", max);
        do {
            String input = in.nextLine();
            if (HELP.equals(input)) {
                CursedNumberGame.displayHelp(out);
                continue;
            } else try {
                int n = Integer.parseInt(input);
                if (0 < n && n <= max) {
                    return n;
                }
            } catch (NumberFormatException notAnInt) {
            }
            out.print("Oops, illegal input. Try again: ");
        } while (true);
    }

    @Override
    public String toString() {
        return "You";
    }
}

import java.io.PrintStream;
import java.util.NoSuchElementException;
import java.util.Scanner;

public class CursedNumberGame {

    public interface Player {
        /**
         * Given the parameters of the game (max and avoid), and the
         * current sum, chooses a number between 1 and max inclusive.
         */
        int play(int currentSum, int max, int avoid);
    }

    private final int maxPerTurn, avoid;

    public CursedNumberGame(int maxPerTurn, int avoid) {
        this.maxPerTurn = maxPerTurn;
        this.avoid = avoid;
    }

    public static void displayHelp(PrintStream out) {
        out.println("The goal of this game is to stay below the number 21.\n\n"
                + "At each turn, a player chooses either \"1\", \"2\", or \"3\".\n"
                + "That number will be added to the current number.\n\n"
                + "You will be playing AI, and you will start. Try your best, but no matter how\n"
                + "hard you try, you will lose!");
    }

    public void run(Scanner scanner, PrintStream out) {
        displayHelp(out);

        Player[] players = new Player[] { new AI(), new HumanPlayer(scanner, out) }; // only line needed to change, so that the order of the players are reversed
        int p, sum;
        for (p = 0, sum = 0; sum < this.avoid; p = 1 - p) {
            int choice = players[p].play(sum, this.maxPerTurn, this.avoid);
            out.printf("%s played %d.  The sum is now %d.\n", players[p], choice, sum + choice);
            sum += choice;
        }
        out.printf("%s lost!\n", players[1 - p]);
    }

    private static boolean doAgain(Scanner scanner, PrintStream out) {
        out.print("Do you want to play again? ");
        while (true) {
            char in = Character.toUpperCase(scanner.nextLine().charAt(0));
            if (in == 'Y') {
                return true;
            } else if (in == 'N') {
                return false;
            }
            out.print("Oops, that was not valid input. Try again: ");
        }
    }

    public static void main(String[] args) {
        CursedNumberGame game = new CursedNumberGame(3, 22); // One more here to change max
        try (Scanner scanner = new Scanner(System.in)) {
            do {
                game.run(scanner, System.out);
            } while (doAgain(scanner, System.out));
        } catch (NoSuchElementException eof) {
        }
        System.out.println("Thanks for playing!");
    }
}

public class AI implements CursedNumberGame.Player {
    @Override
    public int play(int currentSum, int max, int avoid) {
        assert(max == 3);
        assert(avoid == 22); // change the number to avoid to 22, which is one more than 21
        return currentSum < 2 ? 1 : (5 - (currentSum % 5));
    }

    @Override
    public String toString() {
        return "The AI";
    }
}