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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;

public class Hello
{
    public static int flag = 0;
    public static void Main()
    {
        var s = Console.ReadLine();
        var t = Console.ReadLine();
        char[] cs = s.ToCharArray();
        char[] ct = t.ToCharArray();

        Array.Sort(cs);
        Array.Sort(ct);

        Array.Reverse(ct);
        bool output = checker(cs, ct);
        if (output)
            Console.WriteLine("Yes");
        else
            Console.WriteLine("No");


    }

    public static bool checker(char[] cs, char[] ct)
    {
        bool output = false;
       int shorter = Math.Min(cs.Length, ct.Length);
        int lasti = 0;
        for (int i = 0; i < shorter; i++)
        {

            if (cs[i] < ct[i])
            {
                output = true;
                break;
            }
            if (cs[i] > ct[i])
            {
                break;
            }
            lasti=i;
        }
        if (lasti == shorter - 1)
        {
            if (cs.Length < ct.Length) output = true;
        }
        return output;
        
    }

    
}