package main

import "fmt"

var table = [10][10]byte{
    {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},
}

func damm(input string) bool {
    var interim byte
    for _, c := range []byte(input) {
        interim = table[interim][c-'0']
    }
    return interim == 0
}

func main() {
    for _, s := range []string{"5724", "5727", "112946", "112949"} {
        fmt.Printf("%6s  %t\n", s, damm(s))
    }
}