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;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApp2
{
    class Program
    {
        static void Main(string[] args)
        {
            int j;
            bool flag=false;
            var x=new string[2];
            for (int i = 0; i < 2; i++)
            {
                x[i] = Console.ReadLine();
            }
            var y=new List<char>();
            var z=new List<char>();
            for (int i = 0; i < x[1].Length; i++)
            {
                z.Add(x[1][i]);
            }
            for (int i = 0; i < x[0].Length; i++)
            {
                y.Add(x[0][i]);
            }
            y.Sort();
            z.Sort();
            z.Reverse();
            for (j = 0; j < y.Count; j++)
            {
                if (j < z.Count)
                {
                    if (y[j] == z[j]) continue;
                    else if (x[0][j] < x[1][j])
                    {
                        flag = true;
                        break;
                    }
                }
                else { break;}
            }
            if (flag)
            {
                Console.WriteLine("Yes");
            }
            else
            {
                if (y.Count<z.Count) { Console.WriteLine("Yes"); flag = true; }
            }
            if (!flag)
            {
                Console.WriteLine("No");
            }
        }
    }
}