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++ (GCC 9.2.1) (judge verdict: Runtime Error)

#include <bits/stdc++.h>
using namespace std;

int main()
{
  string s,t;
  cin >> s >> t;
  
 for(int i = 0; i < static_cast<int>(s.size()); i++){
   for(int j = static_cast<int>(s.size())-1; j > i; j--){
     if(s.at(j) < s.at(j-1)){
       char tmp = s.at(j-1);
       s.at(j-1) = s.at(j);
       s.at(j) = tmp;
     }
   }
 }
  
  for(int i = 0; i < static_cast<int>(s.size()); i++){
   for(int j = static_cast<int>(s.size())-1; j > i; j--){
     if(t.at(j) > t.at(j-1)){
       char tmp = t.at(j-1);
       t.at(j-1) = t.at(j);
       t.at(j) = tmp;
     }
   }
 }
  
  if(t > s){
    cout << "Yes" << endl;
  }else{
    cout << "No" << endl;
  }
  
}