Esse código adivinha os ultimos 2 digitos do seu cpf.

Application.java

public class Application {

    public static void main(String[] args) {
        try (Scanner input = new Scanner(System.in)) {
            System.out.print("Digite os 9 primeiros numeros do seu cpf: ");
            List<Integer> cpf = Arrays.stream(input.next().split(""))
                    .map(Integer::parseInt)
                    .collect(Collectors.toList());

            cpf.add(getVerificationCode(10, cpf));
            cpf.add(getVerificationCode(11, cpf));

            System.out.println(cpf);
        }
    }

    private static int getVerificationCode(int multiplier, List<Integer> cpf) {
        double result = 0.0;
        for (Integer code : cpf) {
            result += (code * multiplier--);
        }

        return (result % 11 == 0 || result % 11 == 1) ? 0 : (int) Math.round(11 - (result % 11));
    }

}