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.Generic;

class Program
{
    static void Main(string[] args)
    {
        var S = Console.ReadLine();
        var T = Console.ReadLine();

        var map = new Dictionary<char, char>();
        for (int i = 0; i < S.Length; i++)
        {
            var s = S[i];
            var t = T[i];
            if (map.ContainsKey(s))
            {
                if (map[s] != t)
                {
                    Console.WriteLine("No");
                    return;
                }
            }
            else
            {
                map.Add(s, t);
            }

            if (map.ContainsKey(t))
            {
                if (map[t] != s)
                {
                    Console.WriteLine("No");
                    return;
                }
            }
            else
            {
                map.Add(t, s);
            }
        }

        Console.WriteLine("Yes");

    }
}