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: Accepted)

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

namespace MyProgram
{
    public class Program
    {
        public static void Main(string[] args)
        {
            string S = Console.ReadLine();
            string T = Console.ReadLine();
            
            char[] Sc = new char[26];
            char[] Tc = new char[26];
            
            int si , ti;
    
            for(int i = 0 ; i < S.Length ; i++)
            {
                si = (int)(S[i] - 'a');
                ti = (int)(T[i] - 'a');
                Sc[si]++;
                Tc[ti]++;
            }
            
            Array.Sort(Sc);
            Array.Sort(Tc);
            
            bool can = true;
            for(int i = 0 ; i < Sc.Length; i++)
            {
                if(Sc[i] != Tc[i]) can = false;
            }
            
            if(can) Console.WriteLine("Yes");
            else Console.WriteLine("No");
        }
    }
}