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 CSharpSample01
{
    
    class Program
    {
      
        static void Main(string[] args)
        {          
            string str01 = Console.ReadLine();            
            string str02 = Console.ReadLine();

            int[] start = new int[26];
            int[] goal = new int[26];

            for(int i = 0; i < 26; i++)
            {
                start[i] = -1;
                goal[i] = -1;
            }

            for(int i = 0; i < str01.Length; i++)
            {
                int a = str01[i] - 'a';
                int b = str02[i] - 'a';

                if(start[a] != -1 || goal[b] != -1)
                {
                    if(start[a] != b || goal[b] != a)
                    {
                        Console.WriteLine("No");
                        return;
                    }
                }
                else
                {
                    start[a] = b;
                    goal[b] = a;
                }


            }

            Console.WriteLine("Yes");

        }
    }
}