Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

azzel
apple

Sample Output 1

Yes

azzel can be changed to apple, as follows:

Choose e as c_1 and l as c_2. azzel becomes azzle.

Choose z as c_1 and p as c_2. azzle becomes apple.

Sample Input 2

chokudai
redcoder

Sample Output 2

No

No sequences of operation can change chokudai to redcoder.

Sample Input 3

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu

Sample Output 3

Yes

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

one=list(input())
#print(one)
two=list(input())
z={}
for num,i in enumerate(one):
    if i not in z:
        z[i]=[num]
    else:
        z[i].append(num)
p={}
for num,i in enumerate(two):
    if i not in p:
        p[i]=[num]
    else:
        p[i].append(num)
w=[]
#print(p)
#print(z)
for k,v in z.items():
    w.append(v)
o=[]
for k,v in p.items():
    o.append(v)
print("Yes") if w==o else print("No")