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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Linq;

namespace ConsoleApp3
{
    public class Data
    {
        public char Char { get; set; }
        public long Count { get; set; }
        public bool Occupied { get; set; }
    }

    internal class Program
    {
        private static void Main(string[] args)
        {
            var s = Console.ReadLine().GroupBy(x => x)
                .Select(x => new Data { Char = x.Key, Count = x.Count(), Occupied = false })
                .ToLookup(x => x.Count);

            var sDic = s.SelectMany(x => x).ToDictionary(x => x.Char);

            var t = Console.ReadLine().GroupBy(x => x).OrderBy(x => x.Key).ToArray();

            foreach (var tElement in t)
            {
                var data = s[tElement.Count()].FirstOrDefault(x => !x.Occupied);
                if (data is Data)
                {
                    data.Occupied = true;
                }
                else
                {
                    Console.WriteLine("No");
                    return;
                }
            }

            Console.WriteLine("Yes");
        }
    }
}