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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Linq;
using System.Collections;
using System.Collections.Generic;
using System.Text;

class Program
{
    static void Main(string[] args)
    {
        // 入力
        var s = Console.ReadLine();
        var t = Console.ReadLine();

        var slist = new Dictionary<char, int>() { };
        var scount = 1;
        for (int i = 0; i < s.Length; i++)
        {
            if (!slist.ContainsKey(s[i]))
            {
                slist.Add(s[i], scount);
                scount++;
            }
            else
            {
                slist[s[i]] *= 2;
            }
        }

        var tlist = new Dictionary<char, int>() { };
        var tcount = 1;
        for (int i = 0; i < t.Length; i++)
        {
            if (!tlist.ContainsKey(t[i]))
            {
                tlist.Add(t[i], tcount);
                tcount++;
            }
            else
            {
                tlist[t[i]] *= 2;
            }
        }
        
        var ans = "No";
        if (tlist.Values.Sum() == slist.Values.Sum())
        {
            ans = "Yes";
        }
        Console.WriteLine(ans);
    }
}