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.

Examples

Input

1000 8
1 3 4 5 6 7 8 9


Output

2000


Input

9999 1
0


Output

9999
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.PrintStream;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.Queue;
import java.util.Scanner;
import java.util.Set;
import java.util.regex.Matcher;
import java.util.regex.Pattern;

class a {
	public a(int i, int j, int k) {
		p1 = i;
		p2 = j;
		length = k;
	}

	int p1;
	int p2;
	int length;
}

public class Main {
	static boolean debug = true;
	static Scanner sc = new Scanner(System.in);

	public static void main(String[] args) throws Exception {
		int N=sc.nextInt();
		int k=sc.nextInt();
		Set<Integer> s=new HashSet();
		for(int i=0;i<k;i++)
			s.add(sc.nextInt());
		System.out.println(helper(N,s));
	
	}

	private static int helper(int n, Set<Integer> s) {
		// TODO Auto-generated method stub
		while(true){
			String str=""+n;
			boolean tag=true;
			for(char c:str.toCharArray()){
				if(s.contains(c-'0')){
					tag=false;
					break;
				}
			}
			if(tag)
				return n;
			++n;
		}
		
	}

	private static int helper(int[] arr) {
		// TODO Auto-generated method stub
		int res = 0;
		for (int i = 1; i < arr.length - 1; i++) {
			if (arr[i] == i && arr[i + 1] == (i + 1)) {
				int tmp = arr[i];
				arr[i] = arr[i + 1];
				arr[i + 1] = tmp;
				++i;
				++res;
			}
		}

		for (int i = 1; i < arr.length; i++) {
			if (arr[i] == i) {
				++res;
			}
		}
		return res;
	}

	private static void print(String string) {
		// TODO Auto-generated method stub
		if (debug)
			System.out.println(string);
	}

	private static void print(int[] data) {
		if (debug) {
			for (int i = 0; i < data.length; i++)
				System.out.println(i + ":" + data[i]);
		}
	}

	private static void print(String[] data) {
		if (debug) {
			for (int i = 0; i < data.length; i++)
				System.out.println(i + ":" + data[i]);
		}
	}

	private static void print(char[] data) {
		if (debug) {
			for (int i = 0; i < data.length; i++)
				System.out.println(i + ":" + data[i]);
		}
	}

	private static void print(double[] data) {
		if (debug) {
			for (int i = 0; i < data.length; i++)
				System.out.println(i + ":" + data[i]);
		}
	}

	private static void print(long[] data) {
		if (debug) {
			for (int i = 0; i < data.length; i++)
				System.out.println(i + ":" + data[i]);
		}
	}

	private static void print(int[][] data) {

		if (debug) {
			for (int i = 0; i < data.length; i++) {
				for (int j = 0; j < data[0].length; j++) {
					System.out.print(data[i][j] + " ");
				}
				System.out.println();
			}
		}
	}

	private static void print(long[][] data) {

		if (debug) {
			for (int i = 0; i < data.length; i++) {
				for (int j = 0; j < data[0].length; j++) {
					System.out.print(data[i][j] + " ");
				}
				System.out.println();
			}
		}
	}

	private static void print(char[][] data) {

		if (debug) {
			for (int i = 0; i < data.length; i++) {
				for (int j = 0; j < data[0].length; j++) {
					System.out.print(i + " " + j + ":" + data[i][j] + " ");
				}
				System.out.println();
			}
		}
	}

	private static void print(String[][] data) {

		if (debug) {
			for (int i = 0; i < data.length; i++) {
				for (int j = 0; j < data[0].length; j++) {
					System.out.print(i + " " + j + ":" + data[i][j] + " ");
				}
				System.out.println();
			}
		}
	}

	private static void print(double[][] data) {

		if (debug) {
			for (int i = 0; i < data[0].length; i++) {
				for (int j = 0; j < data.length; j++) {
					System.out.print(i + " " + j + ":" + data[i][j] + " ");
				}
				System.out.println();
			}
		}
	}

	public static void inPutData(char[][] c) {
		for (int i = 0; i < c.length; i++) {
			c[i] = sc.nextLine().toCharArray();
		}
	}

}