You are given strings s and t, consisting of lowercase English letters. You will create a string s' by freely rearranging the characters in s. You will also create a string t' by freely rearranging the characters in t. Determine whether it is possible to satisfy s' < t' for the lexicographic order.

Constraints

* The lengths of s and t are between 1 and 100 (inclusive).
* s and t consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:


s
t


Output

If it is possible to satisfy s' < t', print `Yes`; if it is not, print `No`.

Examples

Input

yx
axy


Output

Yes


Input

ratcode
atlas


Output

Yes


Input

cd
abc


Output

No


Input

w
ww


Output

Yes


Input

zzz
zzz


Output

No
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.Comparator;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Main main = new Main();
        main.solve();
    }
    public void solve() {
        Scanner scan = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        String s = scan.next();
        char[] x1 = s.toCharArray();
        Arrays.sort(x1);
        String s1 = String.valueOf(x1);
        String t = scan.next();
        char[] x2 = t.toCharArray();
        Arrays.sort(x2);
        String t2 = new StringBuilder().append(x2).reverse().toString();
        if (s1.compareTo(t2) < 0 ) {
            System.out.println("Yes");
        } else {
            System.out.println("No");
        }
    }
}
