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.io.BufferedReader;
//import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
//import java.io.FileReader;
//import java.io.FileWriter;
//import java.lang.StringBuilder;
import java.util.StringTokenizer;
//import java.lang.Comparable;
//import java.util.Arrays;
//import java.util.HashMap;
//import java.util.ArrayList;

public class GenerateLogin {
    public static void main(String[] args) throws IOException {
        //BufferedReader in = new BufferedReader(new FileReader("input.txt"));
        //PrintWriter out = new PrintWriter(new BufferedWriter(new FileWriter("output.txt")));
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        PrintWriter out = new PrintWriter(System.out);
        StringTokenizer st = new StringTokenizer(in.readLine());
        char[] str = st.nextToken().toCharArray();
        char d = st.nextToken().toCharArray()[0];
        StringBuilder sb = new StringBuilder();
        sb.append(str[0]);
        for(int i = 1; i < str.length; i++) {
            if(str[i] < d) {
                sb.append(str[i]);
            } else {
                i = str.length;
            }
        }
        sb.append(d);
        out.print(sb);
        out.close();
    }
}