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.Linq;

namespace ABC110
{
    class C
    {
        static void Main(string[] args)
        {
            string S = Console.ReadLine();
            string T = Console.ReadLine();

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

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

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