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# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;

class program
{
    static void Main(string[] args)
    {
        string s = Console.ReadLine();
        string t = Console.ReadLine();

        List<string> lst_s = new List<string>();
        List<string> lst_t = new List<string>();

        for (int i = 0; i < s.Length; i++)
        {
            lst_s.Add(s.Substring(i, 1));
        }

        for (int i = 0; i < t.Length; i++)
        {
            lst_t.Add(t.Substring(i, 1));
        }

        lst_s.Sort();
        lst_t.Sort();

        List<string> chk = new List<string>();
        int y = (s.Length > t.Length ? t.Length : s.Length);
        string ans = "No";

        for (int i = 0; i < y; i++)
        {
            if (String.Compare(lst_s[i], lst_t[i]) == -1)
            {
                ans = "Yes";
                break;
            }
            else if (String.Compare(lst_s[i], lst_t[i]) == 1)
            {
                ans = "No";
                break;
            }
        }
        Console.WriteLine(ans);
    }
}