Problem:
Score : 200 points

Problem Statement

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.

Notes

For a string a = a_1 a_2 ... a_N of length N and a string b = b_1 b_2 ... b_M of length M, we say a < b for the lexicographic order if either one of the following two conditions holds true:

N < M and a_1 = b_1, a_2 = b_2, ..., a_N = b_N.

There exists i (1 \leq i \leq N, M) such that a_1 = b_1, a_2 = b_2, ..., a_{i - 1} = b_{i - 1} and a_i < b_i. Here, letters are compared using alphabetical order.

For example, xy < xya and atcoder < atlas.

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.

Sample Input 1

yx
axy

Sample Output 1

Yes

We can, for example, rearrange yx into xy and axy into yxa. Then, xy < yxa.

Sample Input 2

ratcode
atlas

Sample Output 2

Yes

We can, for example, rearrange ratcode into acdeort and atlas into tslaa. Then, acdeort < tslaa.

Sample Input 3

cd
abc

Sample Output 3

No

No matter how we rearrange cd and abc, we cannot achieve our objective.

Sample Input 4

w
ww

Sample Output 4

Yes

Sample Input 5

zzz
zzz

Sample Output 5

No

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Arrays;
import java.util.Comparator;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		String s = scan.next();
		String t = scan.next();
		int a = s.length();
		int b = t.length();
		char[] cs = new char[s.length()];
		for (int i = 0; i < s.length(); i++) {
			cs[i] = s.charAt(i);
		}
		Character[] ct = new Character[t.length()];
		for (int i = 0; i < t.length(); i++) {
			ct[i] = t.charAt(i);
		}
		Arrays.sort(cs);
		Arrays.sort(ct, Comparator.reverseOrder());
		boolean f = true;
		boolean same = true;
		for (int i = 0; i < Math.min(a, b); i++) {
			if (cs[i] > ct[i]) {
				f = false;
				break;
			}
			if (cs[i] < ct[i]) {
				break;
			}
			if (cs[i] != ct[i]) {
				same = false;
			}
		}
		if (same == false && a>=b) {
			f = false;
		}
		if (f) {
			System.out.println("Yes");
		} else {
			System.out.println("No");
		}
	}
}