public class DammCheckDigit {
    private static final int[][] damm =
        { {0, 3, 1, 7, 5, 9, 8, 6, 4, 2},
          {7, 0, 9, 2, 1, 5, 4, 8, 6, 3},
          {4, 2, 0, 6, 8, 7, 1, 3, 5, 9},
          {1, 7, 5, 0, 9, 8, 3, 4, 2, 6},
          {6, 1, 2, 3, 0, 4, 5, 9, 7, 8},
          {3, 6, 7, 4, 2, 0, 9, 5, 8, 1},
          {5, 8, 6, 9, 7, 2, 0, 1, 3, 4},
          {8, 9, 4, 5, 3, 6, 2, 0, 1, 7},
          {9, 4, 3, 8, 6, 1, 7, 2, 0, 5},
          {2, 5, 8, 1, 4, 3, 6, 7, 9, 0} };

    private static boolean is_valid(Integer num) {
        char[] n = num.toString().toCharArray();
        int temp = 0;
        for (char ch : n) {
            temp = damm[temp][ch - '0'];
        }
        return temp == 0;
    }

    public static void main(String[] args) {
        System.out.printf("%s", "Valid numbers between 5700 and 5800 are:");
        for(int i = 5700; i <= 5800; i++) {
            if (is_valid(i))  System.out.printf("%d ", i);
        }
        System.out.printf("%s", "\n");
    }
}