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: Time Limit Exceeded)

using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder2 {
	class Program {
		static void Main(string[] args) {

			//出力の都度更新をやめる
			var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
			Console.SetOut(sw);


			Ans();

			//更新する
			Console.Out.Flush();
			
		}

 public static void Ans() {

			var inputArray = retreiveStringArray();
			var inputCount = 1;

			// 不正な入力は処理しない
			if (inputArray.Length != inputCount) {
				Console.WriteLine("invalid input");
				return;
			}
			var S = inputArray[0];
			var T = retreiveStringArray()[0];
			//var S = string.Join("",Enumerable.Repeat("abcdefgg", 1000));
			//var T = string.Join("", Enumerable.Repeat("abcdefkk", 1000));


			var sPattern =  getPattern(S);
			var tPattern = getPattern(T);

			for (int i = 0; i < sPattern.Count(); i++) {

				if (sPattern[i] != tPattern[i]) {
					Console.WriteLine("No");
					return;
				}

			}

			//答えの出力
			var ans = "Yes";
			Console.WriteLine(ans);

		}

		private static int[] getPattern(string S) {

			var length = S.Length;
			var sPattern = new int[length];

			var sUsed = new Dictionary<char,int>();
			var check = Enumerable.Repeat(false, length).ToArray();
			var count = 0;
			for (int i = 0; i < S.Count(); i++) {
				if (check[i]) {
					continue;
				}
				
				var c = S[i];

				if (!sUsed.ContainsKey(c)) {
					sUsed.Add(c, count);
					count++;
					sPattern[i] = count;
					check[i] = true;
					if (i==length-1) {
						continue;
					}

					for (int j = i+1; j < length; j++) {
						if (check[j]) {
							continue;
						}
						if (S[j] == c) {
							check[j] = true;
							sPattern[j] = count;
						}
					}
				}
			}

			return sPattern;
		}

		/// <summary>
		/// スペースで区切られた文字列配列の入力を受け取る
		/// </summary>
		/// <returns></returns>
		private static string[] retreiveStringArray() {
			var inputArray = Console.ReadLine().Split(' ');
			return inputArray;
		}

		/// <summary>
		/// スペースで区切られた整数配列の入力を受け取る
		/// </summary>
		/// <returns></returns>
		private static long[] retreiveLongArray() {
			var inputArray = Console.ReadLine().Split(' ');
			var longArray = inputArray.Select(s => long.Parse(s));
			return longArray.ToArray();
		}


		/// <summary>
		/// 2組みずつの入力データ(数値)からTuppleListを作成する
		/// </summary>
		/// <param name="N"></param>
		/// <returns></returns>
		private static List<Tuple<long, long>> createLongTuppleList(long N) {
			var inpList = new List<Tuple<long, long>>();

			for (int i = 0; i < N; i++) {
				var inp = retreiveLongArray();
				var item1 = inp[0];
				var item2 = inp[1];
				inpList.Add(new Tuple<long, long>(item1, item2));
			}
			return inpList;
		}
	}
}