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 Java (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.HashMap;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		String s = sc.next(), t = sc.next();
		int N = s.length();
		HashMap<Character, Character> StoT = new HashMap<>();
		HashMap<Character, Character> TtoS = new HashMap<>();
		for (int i = 0; i < N; i++) {
			// First Observation for every character in S they can only map to one unique
			// character of T
			if (StoT.containsKey(s.charAt(i)) && StoT.get(s.charAt(i)) != t.charAt(i)) {
				System.out.println("No");
				return;
			}
			// Second Observation for every character in T they can only map to one unique
			// character of S
			if (TtoS.containsKey(t.charAt(i)) && TtoS.get(t.charAt(i)) != s.charAt(i)) {
				System.out.println("No");
				return;
			}
			StoT.put(s.charAt(i), t.charAt(i));
			TtoS.put(t.charAt(i), s.charAt(i));
		}
		System.out.println("Yes");
	}
}