class DammAlgorithm {
    private static final int[][] TABLE = [
        [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 damm(String s) {
        int interim = 0
        for (char c: s.toCharArray()) interim = TABLE[interim][c - ('0' as Character)]
        return interim == 0
    }

    static void main(String[] args) {
        int[] numbers = [5724, 5727, 112946, 112949]
        for (Integer number: numbers) {
            boolean isValid = damm(number.toString())
            if (isValid) {
                System.out.printf("%6d is valid\n", number)
            } else {
                System.out.printf("%6d is invalid\n", number)
            }
        }
    }
}