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 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>
#include<string.h>

int main(void) {
    int nonsense, i, j, flag = 1;
    char s[100], t[100];

    scanf("%s %s", s, t);

    for(i = 0; i < strlen(s); i++) {
        for(j = i+1; j < strlen(s); j++) {
            if((int)s[i] > (int)s[j]) {
                nonsense = s[i];
                s[i] = s[j];
                s[j] = nonsense;
            }
        }
    }
    
    for(i = 0; i < strlen(t)-1; i++) {
        for(j = i+1; j < strlen(t); j++) {
            if((int)t[i] < (int)t[j]) {
                nonsense = t[i];
                t[i] = t[j];
                t[j] = nonsense;
            }
        }
    }

    if(strlen(s) < strlen(t)) {
        for(i = 0; i < strlen(s); i++) {
            if((int)s[i] > (int)t[i]) {
                flag = 0;
                break;
            }
        }
    }
    else {
        for(i = 0; i < strlen(s); i++) {
            if((int)s[i] < (int)t[i]) break;
            else if((int)s[i] > (int)t[i]) {
                flag = 0;
                break;
            }
        }
    }
    if(flag == 1) printf("Yes");
    else printf("No");
    return 0;
}