You are given strings S and T consisting of lowercase English letters.

You can perform the following operation on S any number of times:

Operation: Choose two distinct lowercase English letters c_1 and c_2, then replace every occurrence of c_1 with c_2, and every occurrence of c_2 with c_1.

Determine if S and T can be made equal by performing the operation zero or more times.

Constraints

* 1 \leq |S| \leq 2 \times 10^5
* |S| = |T|
* S and T consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:


S
T


Output

If S and T can be made equal, print `Yes`; otherwise, print `No`.

Examples

Input

azzel
apple


Output

Yes


Input

chokudai
redcoder


Output

No


Input

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu


Output

Yes
#!/usr/bin/python
# -*- coding: utf-8 -*-
s = raw_input()
t = raw_input()
dd1 = {}
dd2 = {}
flag = True
for i in xrange(len(s)):
    c1, c2 = s[i], t[i]
    if dd1.get(c1, c2) != c2:
        flag = False
        break
    if dd2.get(c2, c1) != c1:
        flag = False
        break
    dd1[c1] = c2
    dd2[c2] = c1
print 'Yes' if flag else 'No'