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: Time Limit Exceeded)

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

class Cmondai
{
    static void Main()
    {
        var S = Console.ReadLine();
        var T = Console.ReadLine();
        //対応表
        var dicST = new Dictionary<char, char>();
        var dicTS = new Dictionary<char, char>();
        var ans = "Yes";
        for (int i=0; i<T.Count();++i)
        {
            if (!dicST.ContainsKey(S[i])) dicST.Add(S[i], T[i]);
            else
            {
                if (T[i] != dicST[S[i]])
                {
                    ans = "No";
                    break;
                }
            }
            if (!dicTS.ContainsKey(T[i])) dicTS.Add(T[i], S[i]);
            else
            {
                if (S[i] != dicTS[T[i]])
                {
                    ans = "No";
                    break;
                }
            }
        }
        Console.WriteLine(ans);
    }
}