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;

namespace AtCoder
{
	public class Program
	{
		// ABC110-C
		static void Main(string[] args)
		{
			string result = "Yes";
			string S = Console.ReadLine();
			string T = Console.ReadLine();
			Dictionary<char, char> dicS = new Dictionary<char, char>();
			Dictionary<char, char> dicT = new Dictionary<char, char>();
			for (int i = 0; i < S.Length; i++) {
				char sc = S[i];
				char tc = T[i];
				if (!dicS.ContainsKey(sc)) {
					dicS[sc] = tc;
				}
				if (dicS[sc] != tc) {
					result = "No";
					break;
				}

				if (!dicT.ContainsKey(tc)) {
					dicT[tc] = sc;
				}
				if (dicT[tc] != sc) {
					result = "No";
					break;
				}
			}
			Console.WriteLine(result);
		}
	}
}