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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
	"sort"
)

type sortString []rune

func (s sortString) Len() int           { return len(s) }
func (s sortString) Swap(i, j int)      { s[i], s[j] = s[j], s[i] }
func (s sortString) Less(i, j int) bool { return s[i] < s[j] }

type sortStringR []rune

func (s sortStringR) Len() int           { return len(s) }
func (s sortStringR) Swap(i, j int)      { s[i], s[j] = s[j], s[i] }
func (s sortStringR) Less(i, j int) bool { return s[i] > s[j] }

func main() {
	var s, t string
	fmt.Scan(&s, &t)

	ss := sortString(s)
	sort.Sort(ss)
	rt := sortStringR(t)
	sort.Sort(rt)
	if string(ss) < string(rt) {
		fmt.Println("Yes")
	} else {
		fmt.Println("No")
	}
}