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 Rust (1.15.1) (judge verdict: Accepted)

// Try AtCoder
// author: Leonardone @ NEETSDKASU

fn main() {
    let mut stdin = String::new();
    std::io::Read::read_to_string(
    	&mut std::io::stdin(),
        &mut stdin).unwrap();
    let mut stdin = stdin.split_whitespace();
    let mut get = || stdin.next().unwrap();
    // macro_rules! get { () => (get().parse().unwrap()) }
    
    let s = get().as_bytes();
    let t = get().as_bytes();
    
    let mut ss = vec![0; 256];
    let mut tt = vec![0; 256];
    
    for &c in s.iter() {
    	ss[c as usize] += 1;
    }
    for &c in t.iter() {
    	tt[c as usize] += 1;
    }
    
    let mut sx = vec![];
    let mut tx = vec![];
    
	for i in 0..256 {
    	for _ in 0..ss[i] {
        	sx.push(i);
        }
        for _ in 0..tt[255-i] {
        	tx.push(255-i);
        }
    }
    
    for i in 0..std::cmp::min(sx.len(), tx.len()) {
    	if sx[i] < tx[i] {
        	println!("Yes");
            return;
        } else if sx[i] > tx[i] {
        	println!("No");
            return;
        }
    }
    if sx.len() < tx.len() {
    	println!("Yes");
    } else {
    	println!("No");
    }
}