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.Generic;
using System.Linq;

namespace ABC110C
{
    static class MainClass
    {

        public static void Main(string[] args)
        {


            char[] S = Console.ReadLine().ToCharArray();
            char[] T = Console.ReadLine().ToCharArray();

            int[] start = (new int[26]).Select(a => -1).ToArray();
            int[] goal = (new int[26]).Select(a => -1).ToArray();


            for(int i = 0; i < S.Length; i++)
            {
                int st = (int)S[i] - (int)'a';
                int gl = (int)T[i] - (int)'a';
           

                if (start[st] >= 0 || goal[gl] >= 0)
                { 
                     if (start[st] != gl || goal[gl] != st)
                     {
                          Console.WriteLine("No");
                         return;
                    
                      }
               }
                else
                {
                    start[st] = gl;
                    goal[gl] = st;
                }
            }

            Console.WriteLine("Yes");



        }
    }
}