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.util.*;
public class Main{
	public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        char[] s = sc.next().toCharArray();
        char[] t = sc.next().toCharArray();
        Arrays.sort(s);
        Arrays.sort(t);
        String sort_s = String.valueOf(s);
        String sort_t = String.valueOf(t);

        String sort_rev_t = new StringBuilder(sort_t).reverse().toString();

        if(sort_s.compareTo(sort_rev_t) < 0){
            System.out.println("Yes");
        }else{
            System.out.println("No");
        }

    }
    
}