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 (Clang 3.8.0) (judge verdict: Wrong Answer)

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

size_t str_length(const char *s)
{
    size_t len = 0;
    while(*s++)
        len++;
    return((int)len);
}
void swap(char *x,char *y)
{
    char temp=*x;
    *x=*y;
    *y=temp;
}
void sort(char *t,int n)
{
    int k=n-1;
    while(k>=0)
    {
        int i,j;
        for(i=1,j=-1;i<=k;i++)
        {
            if(*(t+i-1)>*(t+i))
            {
                j=i-1;
                swap(t+i,t+j);
            }
        }
        k=j;
    }
}
int main(void)
{
    
    
    char st[100];
    char ss[100];
    
    scanf("%s",st);
    sort(st,str_length(st));
    scanf("%s",ss);
    sort(st,str_length(ss));
    if(strcmp(st, ss) == 0) {
        printf("No");
    }else if(strlen(st) < strlen(ss)){
         printf("No");
    }
        else{
         printf("Yes");
    }
    
   
    return(0);
}