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`.

Examples

Input

azzel
apple


Output

Yes


Input

chokudai
redcoder


Output

No


Input

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu


Output

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

public class Main {
	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		String[] start = scanner.nextLine().split("");
		String[] goal = scanner.nextLine().split("");

		if(start.equals(goal)) {
			System.out.println("Yes");
			return;
		}

		HashMap<String, String> sgMap = new HashMap<>();
		HashMap<String, String> gsMap = new HashMap<>();
		for(int i = 0; i < start.length; i++) {
			String pre = null;
			if((pre = sgMap.put(start[i], goal[i])) != null && !pre.equals(goal[i])) {
				System.out.println("No");
				return;
			}
			if((pre = gsMap.put(goal[i], start[i])) != null && !pre.equals(start[i])) {
				System.out.println("No");
				return;
			}
		}

		System.out.println("Yes");
	}
}
