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: Wrong Answer)

import java.io.BufferedReader;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;

public class Main {
	public static void main(String[] args) throws IOException {
		ContestScanner scan = new ContestScanner();

		final int N = scan.nextInt();
		final int K = scan.nextInt();

		int[] D = new int[K];

		for(int i=0; i < K; i++) D[i] = scan.nextInt();

		(new Solve(N, K, D)).solve();
	}
}

class Solve {
	private final int N;
	private final int K;

	private final int[] D;

	public Solve(final int N, final int K, final int[] D)
	{
		this.N = N;
		this.K = K;
		this.D = D;
	}

	public void solve()
	{
		int answer = 0;
		int rank;
		int _N = N;

		for(rank=1; rank <= N; rank = rank*10);

		rank = rank / 10;

		boolean change = false;

		int r=rank;

		for(; !change && r > 0; r = r / 10)
		{
			int x = _N / r;

			int j = 0;

			do {
				for(j=0; j < K; j++)
				{
					if(D[j] == x % 10)
					{
						x++;
						change = true;
						break;
					}
				}
			} while(j < K);

			answer = answer * 10 + x;

			_N = _N % r;
		}

		if(change)
		{
			for(; r > 0; r = r / 10)
			{
				int x = 0;

				int j = 0;

				do {
					for(j=0; j < K; j++)
					{
						if(D[j] == x % 10)
						{
							x++;
							change = true;
							break;
						}
					}
				} while(j < K);

				answer = answer * 10 + x;
			}
		}

		System.out.println(answer);
	}
}
class ContestScanner {
	BufferedReader reader;
	String[] line;
	int index;
	public ContestScanner() {
		reader = new BufferedReader(new InputStreamReader(System.in));
	}

	public ContestScanner(String filename) throws FileNotFoundException {
		reader = new BufferedReader(new InputStreamReader(new FileInputStream(filename)));
	}

	public String nextToken() throws IOException {
		if(line == null || index >= line.length)
		{
			line = reader.readLine().trim().split(" ");
			index = 0;
		}

		return line[index++];
	}

	public String next() throws IOException {
		return nextToken();
	}

	public String readLine() throws IOException {
		line = null;
		index = 0;

		return reader.readLine();
	}

	public int nextInt() throws IOException, NumberFormatException {
		return Integer.parseInt(nextToken());
	}

	public long nextLong() throws IOException, NumberFormatException {
		return Long.parseLong(nextToken());
	}

	public double nextDouble() throws IOException, NumberFormatException {
		return Double.parseDouble(nextToken());
	}

	public int[] nextIntArray(int N) throws IOException, NumberFormatException {
		int[] result = new int[N];

		for(int i=0; i < N; i++) result[i] = nextInt();

		return result;
	}

	public long[] nextLongArray(int N) throws IOException, NumberFormatException {
		long[] result = new long[N];

		for(int i=0; i < N; i++) result[i] = nextLong();

		return result;
	}

	public double[] nexDoubleArray(int N) throws IOException, NumberFormatException {
		double[] result = new double[N];

		for(int i=0; i < N; i++) result[i] = nextDouble();

		return result;
	}
}