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;
using System.Collections.Generic;
using System.Text;

class Program
{
  private static int Greater(char a, char b)
  {
    if (a < b) return 1;
    else if (a > b) return -1;
    else return 0;
  }
  static void Main(string[] args)
  {
    char[] s = Console.ReadLine().ToCharArray();
    char[] t = Console.ReadLine().ToCharArray();

    Array.Sort(s);
    Array.Sort(t, Greater);

    int pos = 0;
    int size = Math.Min(s.Length, t.Length);
    bool ok = true;
    while (pos < size)
    {
      if (s[pos] == t[pos])
      {
        ++pos;
        continue;
      }
      if (t[pos] < s[pos]) ok = false;
      break;
    }

    if (pos == size)
    {
      if (t.Length <= s.Length) ok = false;
    }

    if (ok)
    {
      Console.WriteLine("Yes");
    }
    else
    {
      Console.WriteLine("No");
    }
  }
}