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: Runtime Error)

using System;
using  System.Linq;

public class Test
{
	public static void Main()
	{
bool flag = true;
		var s = Console.ReadLine().ToCharArray().Select(c=>c-'a'+1).ToArray();
		var t = Console.ReadLine().ToCharArray().Select(c=>c-'a'+1).ToArray();
int[] ToReplace = new int[26];
int[] FromReplace = new int[26];
if(s.Length==t.Length){
                for(int i=0;i<s.Length;i++){
                   if(ToReplace[s[i]] == 0)
ToReplace[s[i]] = t[i];
                   if(FromReplace[t[i]] == 0)
FromReplace[t[i]] = s[i];
if(ToReplace[s[i]] != t[i] || FromReplace[t[i]] != s[i]){
flag = false;
}
                }
}
  Console.WriteLine(flag?"Yes":"No");
	}
}