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 C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;

public class Program
{
    static long n;
    static long k;

    static string[] d;

    static string output;

    public static void Main(string[] args)
    {
        Input();
        Proc();
        Output();
    }

    static void Input()
    {
        string[] input = null;

        // スペース区切りの整数の入力(横、個別)
        input = Console.ReadLine().Split(' ');

        n = long.Parse(input[0]);   // N円の品物
        k = long.Parse(input[1]);   // 嫌いな数の個数

        // スペース区切りの整数の入力(横、配列)
        input = Console.ReadLine().Split(' ');

        d = new string[k];
        for (long idx = 0; idx < k; idx++)
        {
            d[idx] = input[idx];    // 嫌いな数
        }
    }

    static void Proc()
    {
        long money = n;

        // OKの最小を得る
        string okMin = GetOkMin();

        // メイン処理
        string moneyStr = money.ToString();
        int idxMinCheck = moneyStr.Length - 1;
        long inc = 1;

        while (IsOk(moneyStr) == false)
        {
            while (moneyStr.Substring(idxMinCheck, 1) == okMin)
            {
                idxMinCheck -= 1;
                inc *= 10;
            }

            money += inc;
            moneyStr = money.ToString();
        }

        output = money.ToString();
    }

    static string GetOkMin()
    {
        for (int ok = 0; ok < 10; ok++)
        {
            foreach (string ng in d)
            {
                if (ok.ToString().Contains(ng) == false)
                {
                    return ok.ToString();
                }
            }
        }

        return string.Empty;
    }

    static bool IsOk(string moneyStr)
    {
        foreach(string ng in d)
        {
            if(moneyStr.Contains(ng))
            {
                return false;
            }
        }

        return true;
    }

    static void Output()
    {
        // 出力
        Console.WriteLine(output);
        output = string.Empty;
    }
}