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 Java (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.*;
import java.util.*;

public class Main{

	public static void main(String[] args) {
		InputReader scn = new InputReader(System.in);
		OutputWriter out = new OutputWriter(System.out);
		int n = scn.nextInt();
		String s = Integer.toString(n);
		ArrayList<Integer> nlist = new ArrayList<Integer>();
		for (int i = 0; i < s.length(); i++) {
			String ch = s.substring(i, i + 1);
			int val = Integer.parseInt(ch);
			nlist.add(val);
		}
//		out.println(nlist);
		int k = scn.nextInt();
		ArrayList<Integer> list = new ArrayList<>();
		for (int i = 0; i < k; i++) {
			list.add(scn.nextInt());
		}
		ArrayList<Integer> list1 = new ArrayList<>();
		for (int i = 0; i < 10; i++) {
			if (!list.contains(i)) {
				list1.add(i);
			}
		}

		Collections.sort(list1);
//		out.println(list1);
		boolean check1 = false;
		if (list1.get(list1.size() - 1) < nlist.get(0)) {
			check1 = true;
			String ans1 = "";
			int a = list1.get(0);
			if (a != 0) {
				for (int i = 0; i <= nlist.size(); i++) {
					ans1 = ans1 + a;
				}
				out.println(ans1);
			} else {
				a = list1.get(1);
				ans1 = ans1 + a;
				for (int i = 0; i < nlist.size(); i++) {
					ans1 += list1.get(0);
				}
				out.println(ans1);
			}
		}
		if (!check1) {
			int counter = 0;
			String ans = "";
			int x = 0;
			int y = 0;
			int flag = 1;
			boolean check3 = false;
			while (true) {
				int val1 = nlist.get(x);
				int val2 = list1.get(y);
				while (val2 <= val1 && flag == 1) {
					y++;
					if ((y < list1.size())) {
						val2 = list1.get(y);
//						System.out.println(val2);
					}
					if (val2 == val1) {
						y = 0;
						break;
					} else if (val2 > val1) {
						ans = ans + val2;
						flag = 0;
						y = 0;
						break;
					}
					if (y == list1.size()) {
						int hh = ans.length();
						while (hh <= nlist.size()) {
							ans = ans + list1.get(0);
							hh++;
						}
						check3 = true;
						break;
					}
				}
				if (check3) {
					break;
				}
				if (flag == 0) {
					ans = ans + list1.get(0);
					counter++;
					if (counter == nlist.size() - 1) {
						break;
					}
				} else {
					x++;
					ans = ans + val2;
					if (x == nlist.size()) {
						break;
					}
				}
			}
			out.println(ans);
		}
		out.close();
	}

	public static boolean CountFrequencies(String[] arr) {
		HashMap<String, Integer> map = new HashMap<>();
		for (int i = 0; i < arr.length; i++) {
			String a = arr[i];
			if (map.containsKey(a)) {
				map.put(a, map.get(a) + 1);
			} else {
				map.put(a, 1);
			}
		}
		for (String val : map.keySet()) {
			String val1 = val;
			int val2 = map.get(val);
			if (val2 % 2 != 0) {
				return false;
			}
		}
		return true;
	}

	public static int gcd(int a, int b) {
		if (a == 0)
			return b;
		return gcd(b % a, a);
	}

	public static int lcm(int a, int b) {
		return (a * b) / gcd(a, b);
	}

	public static ArrayList<String> GetSubSequences(String s) {
		if (s.length() == 0) {
			ArrayList<String> br = new ArrayList<>();
			br.add("");
			return br;
		}
		char ch = s.charAt(0);
		String ms = s.substring(1);

		ArrayList<String> rr = GetSubSequences(ms);

		ArrayList<String> mr = new ArrayList<>();

		int t = rr.size();
		for (int i = 0; i < t; i++) {
			mr.add(rr.get(i));
			mr.add(ch + rr.get(i));

		}

		return mr;

	}

	public static int binarySearch(int arr[], int l, int r, int x) {
		if (r >= l) {
			int mid = l + (r - l) / 2;
			if (arr[mid] == x)
				return mid;
			if (arr[mid] > x)
				return binarySearch(arr, l, mid - 1, x);
			return binarySearch(arr, mid + 1, r, x);
		}
		return -1;
	}

	public static int firstOccurence(int array1[], int low, int high, int x, int n) {
		if (low <= high) {
			int mid = low + (high - low) / 2;
			if ((mid == 0 || x > array1[mid - 1]) && array1[mid] == x)
				return mid;
			else if (x > array1[mid])
				return firstOccurence(array1, (mid + 1), high, x, n);
			else
				return firstOccurence(array1, low, (mid - 1), x, n);
		}
		return -1;
	}

	public static int lastOccurence(int array2[], int low, int high, int x, int n) {
		if (low <= high) {
			int mid = low + (high - low) / 2;
			if ((mid == n - 1 || x < array2[mid + 1]) && array2[mid] == x)
				return mid;
			else if (x < array2[mid])
				return lastOccurence(array2, low, (mid - 1), x, n);
			else
				return lastOccurence(array2, (mid + 1), high, x, n);
		}
		return -1;
	}

	public static boolean isPrime(long n) {
		if (n < 2)
			return false;
		if (n == 2 || n == 3)
			return true;
		if (n % 2 == 0 || n % 3 == 0)
			return false;
		long sqrtN = (int) Math.sqrt(n) + 1;
		for (long i = 6L; i <= sqrtN; i += 6) {
			if (n % (i - 1) == 0 || n % (i + 1) == 0)
				return false;
		}
		return true;
	}

	public static void quickSort(int[] arr, int lo, int hi) {
		if (lo >= hi) {
			return;
		}
		int mid = (lo + hi) / 2;
		int pivot = arr[mid];
		int left = lo;
		int right = hi;
		while (left <= right) {
			while (arr[left] < pivot) {
				left++;
			}
			while (arr[right] > pivot) {
				right--;
			}
			if (left <= right) {
				int temp = arr[left];
				arr[left] = arr[right];
				arr[right] = temp;
				left++;
				right--;
			}
		}
		quickSort(arr, lo, right);
		quickSort(arr, left, hi);
	}

	static class InputReader {
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
		private SpaceCharFilter filter;

		public InputReader(InputStream stream) {
			this.stream = stream;
		}

		public int read() {
			if (numChars == -1)
				throw new InputMismatchException();
			if (curChar >= numChars) {
				curChar = 0;
				try {
					numChars = stream.read(buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (numChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}

		public int nextInt() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public long nextLong() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public String nextLine() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}

		public boolean isSpaceChar(int c) {
			if (filter != null)
				return filter.isSpaceChar(c);
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}

		public String next() {
			return nextLine();
		}

		public interface SpaceCharFilter {
			public boolean isSpaceChar(int ch);
		}
	}

	static class OutputWriter {
		private final PrintWriter writer;

		public OutputWriter(OutputStream outputStream) {
			writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
		}

		public OutputWriter(Writer writer) {
			this.writer = new PrintWriter(writer);
		}

		public void print(Object... objects) {
			for (int i = 0; i < objects.length; i++) {
				if (i != 0) {
					writer.print(' ');
//                    writer.print(1);
				}
				writer.print(objects[i]);
			}
		}

		public void println(Object... objects) {
			print(objects);
			writer.println();
		}

		public void close() {
			writer.close();
		}
	}

}