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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>      // cout, endl, cin
#include <string>        // string, to_string, stoi
#include <vector>        // vector
#include <algorithm>     // min, max, swap, sort, reverse, lower_bound, upper_bound
#include <utility>       // pair, make_pair
#include <tuple>         // tuple, make_tuple
#include <cstdint>       // int64_t, int*_t
#include <cstdio>        // printf
#include <map>           // map
#include <queue>         // queue, priority_queue
#include <set>           // set
#include <stack>         // stack
#include <deque>         // deque
#include <unordered_map> // unordered_map
#include <unordered_set> // unordered_set
#include <bitset>        // bitset
#include <cctype>        // isupper, islower, isdigit, toupper, tolower
#include <cmath>

using namespace std;
typedef long long ll;

#define rep(i, n) for (int i = 0; i < (n); i++)
#define rep2(i, a, b) for (int i = (a); i < (b); ++i)
#define all(a) (a).begin(), (a).end()

int main()
{
        string s, t;
        cin >> s >> t;
        sort(all(s));
        sort(all(t));
        reverse(all(t));
        if (s < t)
                cout << "Yes" << endl;
        else
                cout << "No" << endl;

        return 0;
}