You are given a long decimal number a consisting of n digits from 1 to 9. You also have a function f that maps every digit from 1 to 9 to some (possibly the same) digit from 1 to 9.

You can perform the following operation no more than once: choose a non-empty contiguous subsegment of digits in a, and replace each digit x from this segment with f(x). For example, if a = 1337, f(1) = 1, f(3) = 5, f(7) = 3, and you choose the segment consisting of three rightmost digits, you get 1553 as the result.

What is the maximum possible number you can obtain applying this operation no more than once?

Input

The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of digits in a.

The second line contains a string of n characters, denoting the number a. Each character is a decimal digit from 1 to 9.

The third line contains exactly 9 integers f(1), f(2), ..., f(9) (1 ≤ f(i) ≤ 9).

Output

Print the maximum number you can get after applying the operation described in the statement no more than once.

Examples

Input


4
1337
1 2 5 4 6 6 3 1 9


Output


1557


Input


5
11111
9 8 7 6 5 4 3 2 1


Output


99999


Input


2
33
1 1 1 1 1 1 1 1 1


Output


33
// package R555;

/**
 *
 * @author Abdulrahman Mobarak
 */
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

public class B {

    public static void main(String[] args) throws IOException {
        InputReader in = new InputReader(System.in);
        PrintWriter out = new PrintWriter(System.out);
        TaskA solver = new TaskA();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskA {

        public void solve(int testNumber, InputReader input, PrintWriter out) throws IOException {
            int n = input.nextInt();
            char[] s = input.next().toCharArray();
            char[] arr = input.reader.readLine().replace(" ", "").toCharArray();
            boolean found = false;
            for (int i = 0; i < n; i++) {
                if (arr[Integer.valueOf(s[i] + "") - 1] > s[i]) {
                    s[i] = arr[Integer.valueOf(s[i] + "") - 1];
                    found = true;
                    continue;
                }
                if (found && arr[Integer.valueOf(s[i] + "") - 1] < s[i]) {
                    break;
                }
            }
            out.println(s);
        }

    }

    static class InputReader {

        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public long nextLong() {
            return Long.parseLong(next());
        }
    }
}
