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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

var
    s,t,r:ansistring;
    i:longint;
    f:array[0..31] of longint;
begin
    readln(s);readln(t);
    for i:=1 to length(s) do
        if f[ord(s[i])-97]=0 then f[ord(s[i])-97]:=ord(t[i])-97
        else if f[ord(s[i])-97]<>ord(t[i])-97 then 
            begin
                writeln('No');
                exit;
            end;
    r:=s;s:=t;t:=r;fillchar(f,sizeof(f),0);
    for i:=1 to length(s) do
        if f[ord(s[i])-97]=0 then f[ord(s[i])-97]:=ord(t[i])-97
        else if f[ord(s[i])-97]<>ord(t[i])-97 then 
            begin
                writeln('No');
                exit;
            end;
    writeln('Yes');
end.