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.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;
import java.util.*;

public class A {

	public static void main(String[] args) {
		FastScanner in = new FastScanner();
		String s1 = in.next();
		String s2 = in.next();
		char last = s2.charAt(0);
		String res = ""+s1.charAt(0);
		for(int i = 1; i < s1.length(); i++){
			char cur = s1.charAt(i);
			if(cur < last) res += cur;
			else{
				res += last;
				System.out.println(res);
				return;
			}
		}
		res += last;
		System.out.println(res);

	}

	
	
	static class FastScanner{
		BufferedReader br;
		StringTokenizer st;
		public FastScanner(String s) {
			try{
				br = new BufferedReader(new FileReader(s));
			}
			catch(FileNotFoundException e) {
				e.printStackTrace();
			}
		}
		public FastScanner(){
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		
		String nextToken()	{
			while(st == null ||!st.hasMoreElements()){
				try {
				st = new StringTokenizer(br.readLine());}
				catch(IOException e) {
					e.printStackTrace();
				}			
			}
			return st.nextToken();
		}
		
		int nextInt() {
			return Integer.parseInt(nextToken());
		}
		long nextLong() {
			return Long.parseLong(nextToken());
		}
		double nextDouble() {
			return Double.parseDouble(nextToken());
		}
		String next() {
			return nextToken();
		}
		
	}
}
