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: Runtime Error)

package main

import (
	"bufio"
	"fmt"
	"os"
	"sort"
	"strconv"
	"strings"
)

var scanner = bufio.NewScanner(os.Stdin)

func main() {
	scanner.Split(bufio.ScanWords)

	S, T := next(), next()

	if len(S) < len(T) && S == T {
		fmt.Println("Yes")
		return
	}

	s := strings.Split(S, "")
	t := strings.Split(T, "")

	sort.Strings(s)
	sort.Strings(t)
	if len(s) < len(t) && strings.HasPrefix(strings.Join(t, ""), strings.Join(s, "")) {
		fmt.Println("Yes")
		return
	}

	sort.Sort(sort.Reverse(sort.StringSlice(t)))
	for i := range s {
		if s[i] == t[i] {
			continue
		}
		if s[i] < t[i] {
			fmt.Println("Yes")
			return
		}
	}
	fmt.Println("No")
}

func next() string {
	scanner.Scan()
	return scanner.Text()
}
func nextInt() int {
	i, err := strconv.Atoi(next())
	if err != nil {
		fmt.Println(err)
	}
	return i
}