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 JavaScript (node.js v5.12) (judge verdict: Accepted)

var lines = [];
var readline = require('readline');

var rl = readline.createInterface({
    input: process.stdin,
    output: process.stdout,
});

rl.on('line', function (x) {
    lines.push(x);
});

rl.on('close', function () {
    var S = lines[0].split("")
    var T = lines[1].split("")

    var len = S.length;
    var strategy_S = {};
    var strategy_T = {};

    // chokudai
    // redcoder

    // c <--> r  h <--> e  o <--> d  k <--> c  u <--> o  u <--> d
    // rhokudai  reokudai  redkuoai  redcuoai  redcouai  reucodai


    for (var i = 0; i < len; i++) {
        if (strategy_S[S[i]] !== undefined || strategy_T[T[i]] !== undefined) {
            if (strategy_S[S[i]] !== T[i] || strategy_T[T[i]] !== S[i]){
                console.log("No");
                return(0);
            }
        }
        else {
            strategy_S[S[i]] =T[i];
            strategy_T[T[i]] =S[i];
        }
    }
    console.log("Yes");
});