The preferred way to generate user login in Polygon is to concatenate a prefix of the user's first name and a prefix of their last name, in that order. Each prefix must be non-empty, and any of the prefixes can be the full name. Typically there are multiple possible logins for each person.

You are given the first and the last name of a user. Return the alphabetically earliest login they can get (regardless of other potential Polygon users).

As a reminder, a prefix of a string s is its substring which occurs at the beginning of s: "a", "ab", "abc" etc. are prefixes of string "{abcdef}" but "b" and 'bc" are not. A string a is alphabetically earlier than a string b, if a is a prefix of b, or a and b coincide up to some position, and then a has a letter that is alphabetically earlier than the corresponding letter in b: "a" and "ab" are alphabetically earlier than "ac" but "b" and "ba" are alphabetically later than "ac".

Input

The input consists of a single line containing two space-separated strings: the first and the last names. Each character of each string is a lowercase English letter. The length of each string is between 1 and 10, inclusive. 

Output

Output a single string — alphabetically earliest possible login formed from these names. The output should be given in lowercase as well.

Examples

Input

harry potter


Output

hap


Input

tom riddle


Output

tomr
import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.*;

public class Codeforces {

    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        FastReader() {
            br = new BufferedReader(new
                                    InputStreamReader(System.in));
        }

        FastReader(final InputStream is) {
            if (is != null)
                br = new BufferedReader(new
                                        InputStreamReader(is));
            else new FastReader();
        }

        String next() throws IOException {
            while (st == null || !st.hasMoreElements()) {
                st = new StringTokenizer(br.readLine());
            }
            return st.nextToken();
        }

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

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

        double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }

        String nextLine() throws IOException {
            return br.readLine();
        }
    }

    static PrintWriter writer;

    static int MOD = 1_000_000_007;
    public static void main(String args[]) throws Exception {
        final FastReader reader = new FastReader();
        writer = new PrintWriter(new BufferedOutputStream(System.out));
        String inp = reader.nextLine();
        String a = inp.split("\\s")[0];
        String b = inp.split("\\s")[1];
        writer.print(a.charAt(0));
        for (int i = 1; i < a.length(); i++) {
            if (a.charAt(i) < b.charAt(0)) {
                writer.print(a.charAt(i));
            } else {
                break;
            }
        }
        writer.print(b.charAt(0));
        writer.close();
    }
}
