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>
#define MAX(a,b) ((a)>(b)?(a):(b))

int main(){
  char s[101],t[101];
  scanf("%s%s",s,t);
  int i,mins,maxs,mint,maxt,ans=0;
  mins=s[0]; maxs=s[0];
  mint=t[0]; maxt=t[0];
  for(i=0;i<MAX(strlen(s),strlen(t));i++){
    if(mins>s[i]&&s[i]>0) mins=s[i];
    if(maxs<s[i]) maxs=s[i];
    if(mint>t[i]&&t[i]>0) mint=t[i];
    if(maxt<t[i]) maxt=t[i];
  }
  if(mins<maxt) ans=1;
  else if(maxs==mins&&maxt==mint&&strlen(s)<strlen(t)) ans=1;
  puts(ans?"Yes":"No");
}