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)

#![allow(bare_trait_objects)]
#![allow(unused_imports)]
#![allow(dead_code)]

use std::collections::{HashMap, HashSet};
use std::fmt::Debug;
use std::io::BufRead;
use std::io::Stdin;
use std::io::StdinLock;
use std::str::FromStr;

pub struct Scanner<'a> {
    // stdin: Stdin,
    buf_read: Box<BufRead + 'a>,
    tokens: Vec<String>,
}

impl<'a> Scanner<'a> {
    pub fn new(buf_read: StdinLock<'a>) -> Self {
        Scanner {
            buf_read: Box::new(buf_read),
            tokens: Vec::new(),
        }
    }

    // pub fn from_stdin() -> Self {
    //     let stdin = Box::leak(Box::new(std::io::stdin()));
    //     Self {
    //         buf_read: Box::new(stdin.lock()),
    //         tokens: Vec::new(),
    //     }
    // }

    pub fn next(&mut self) -> String {
        while self.tokens.is_empty() {
            let mut s = String::new();
            if self.buf_read.read_line(&mut s).is_err() {
                panic!()
            }
            self.tokens = s
                .split_whitespace()
                .filter(|s| !s.is_empty())
                .rev()
                .map(str::to_string)
                .collect();
        }
        self.tokens.pop().unwrap()
    }

    pub fn next_g<T: FromStr>(&mut self) -> T
    where
        T::Err: Debug,
    {
        self.next().parse().unwrap()
    }

    pub fn usize(&mut self) -> usize {
        self.next_g()
    }

    pub fn i64(&mut self) -> i64 {
        self.next_g()
    }
}

fn main() {
    let stdin = std::io::stdin();
    let mut sc = Scanner::new(stdin.lock());

    let mut s: Vec<_> = sc.next().chars().collect();
    let mut t: Vec<_> = sc.next().chars().collect();

    s.sort();
    t.sort();
    t.reverse();

    if s < t {
        println!("Yes");
    } else {
        println!("No");
    }
}