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: Wrong Answer)

using System.Linq;
using System;
using System.Text;

class Program
{
    static void Main(string[] args)
    {
       // string s = Console.ReadLine();
       // string t = Console.ReadLine();
        //Random r = new Random();
        //int result = r.Next(1, 21);
        //int result1 = r.Next(1, 21);
        //string t = GeneratePassword(result);
        //string s = GeneratePassword(result1);
        
        string s = "aaa";
        string t = "aaaa";
        //s = String.Concat(s.OrderBy(c => c));
        //t = String.Concat(t.OrderByDescending(c => c));
        //Console.WriteLine("s is : " + s);
        //Console.WriteLine("t is : " + t);

        Console.WriteLine(isSortedAlphabetically(s, t) ? "Yes" : "No");
    }

    static bool isSortedAlphabetically(string s, string t)
    {
        bool res = false;
        
        if (s.Length == 0) { res = true;}
        else
        {
            if (s[0] < t[0])
            {
                res = true;
            }
            else if (s[0] == t[0])
            {
                res = isSortedAlphabetically(s.Substring(1), t.Substring(1));
            }
        }
        
        return res;
    }

    //パスワードに使用する文字
    private static readonly string passwordChars = "abcdefghijklmnopqrstuvwxyz";

    public static string GeneratePassword(int length)
    {
        StringBuilder sb = new StringBuilder(length);
        Random r = new Random();

        for (int i = 0; i < length; i++)
        {
            //文字の位置をランダムに選択
            int pos = r.Next(passwordChars.Length);
            //選択された位置の文字を取得
            char c = passwordChars[pos];
            //パスワードに追加
            sb.Append(c);
        }

        return sb.ToString();
    }
}