Problem:
Score : 300 points

Problem Statement

Iroha is very particular about numbers. There are K digits that she dislikes: D_1, D_2, ..., D_K.

She is shopping, and now paying at the cashier.
Her total is N yen (the currency of Japan), thus she has to hand at least N yen to the cashier (and possibly receive the change).

However, as mentioned before, she is very particular about numbers. When she hands money to the cashier, the decimal notation of the amount must not contain any digits that she dislikes. Under this condition, she will hand the minimum amount of money.

Find the amount of money that she will hand to the cashier.

Constraints

1 ≦ N < 10000

1 ≦ K < 10

0 ≦ D_1 < D_2 < … < D_K≦9

\{D_1,D_2,...,D_K\} ≠ \{1,2,3,4,5,6,7,8,9\}

Input

The input is given from Standard Input in the following format:

N K
D_1 D_2 … D_K

Output

Print the amount of money that Iroha will hand to the cashier.

Sample Input 1

1000 8
1 3 4 5 6 7 8 9

Sample Output 1

2000

She dislikes all digits except 0 and 2.

The smallest integer equal to or greater than N=1000 whose decimal notation contains only 0 and 2, is 2000.

Sample Input 2

9999 1
0

Sample Output 2

9999

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;
import java.util.stream.Collectors;

import static java.lang.Math.*;

public class Main {


    private static String input;
    private static ArrayList<ArrayList<Integer>> dp;
    private static int mod = (int) (1e9 + 7);
    private static String s1, s2;
    private static InputReader inputReader = new InputReader();


    static String n;
    static int[] arr = new int[11];

    static void solve() {
        String ans = "";
        int loValue = 0;
        for (int i = 1; i <= 9; i++) {
            if (arr[i] == 0) {
                char c = (char) ('0' + i);
                ans = ans + c;
                loValue = i;
                break;
            }
        }
        if (arr[0] == 0)
            loValue = 0;
        for (int i = 0; i < n.length(); i++) {
            char c = (char) ('0' + loValue);
            ans = ans + c;
        }
        System.out.println(ans);;
    }

    public static void main(String[] args) throws IOException {

        int l;
        String[] temp = inputReader.readStringFromLine().split(" ");
        n = temp[0];
        l = Integer.parseInt(temp[1]);

        List<Integer> digits = inputReader.readIntegersFromLine();

        for (int i = 0;i < l; i++) {
            arr[digits.get(i)] = 1;
        }
        int flag = 0;
        String ans = "";
        for (int i = 0;i < n.length(); i++) {
            if (flag == 0 ) {
                int flag2 = 0;
                for (int j = n.charAt(i) - '0';j <= 9; j++) {
                    if (arr[j] == 0) {
                        flag2 = 1;
                        if (j > n.charAt(i) - '0') {
                            flag = 1;
                        }
                        char c = (char) ('0' + j);
                        ans = ans + c;
                        break;
                    }
                }
                if (flag2 == 0) {
                    solve();
                    return ;
                }
            } else {
                int flag2 = 0;
                for (int j = 0;j <= 9; j++) {

                    if (arr[j] == 0) {
                        if (j > n.charAt(i) - '0') {
                            flag = 1;
                        }
                        flag2 = 1;
                        char c = (char) ('0' + j);
                        ans = ans + c;
                        break;
                    }
                }
                if (flag2 == 0) {
                    solve();
                    return ;
                }
            }
        }
        System.out.println(ans);;
    }


    private static class InputReader {

        private static BufferedReader bufferedReader;

        public InputReader() {
            bufferedReader = new BufferedReader(new InputStreamReader(System.in));
        }

        public String readStringFromLine() throws IOException {
            return bufferedReader.readLine().trim();
        }

        public int readSingleIntFromLine() throws IOException {
            return Integer.parseInt(bufferedReader.readLine().trim());
        }

        public List<Integer> readIntegersFromLine() throws IOException {
            final List<Integer> integerList = new ArrayList<>();
            for (String integer : bufferedReader.readLine().trim().split(" ")) {
                integerList.add(Integer.parseInt(integer));
            }

            return integerList;
        }

        public List<Long> readLongsFromLine() throws IOException {
            final List<Long> integerList = new ArrayList<>();
            for (String integer : bufferedReader.readLine().trim().split(" ")) {
                integerList.add(Long.parseLong(integer));
            }

            return integerList;
        }
    }

}