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 Python (3.4.3) (judge verdict: Accepted)

import sys

line1 = sys.stdin.readline()
line2 = sys.stdin.readline()

line1 = line1.replace('\n', '')
line2 = line2.replace('\n', '')

line1 = sorted(line1)
line2 = sorted(line2, reverse=True)

# print(line1)
# print(line2)

flag = 0
if len(line1) < len(line2):
    flag = 1

if flag == 1:
    for x, y in zip(line1, line2):
        if x > y:
            flag = 0
            break
        elif x < y:
            flag = 1
            break

else:
    for x, y in zip(line1, line2):
        if x < y:
            print("Yes")
            flag = -1
            break
# print(flag)
if flag == 1:
    print("Yes")
elif flag != -1:
    print("No")