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.Arrays;
public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		char[] s=sc.next().toCharArray();
		char[] t=sc.next().toCharArray();
		int[] start=new int[26];
		int[] goal=new int[26];
		Arrays.fill(start,-1);
		Arrays.fill(goal,-1);
		for(int i=0; i<s.length; i++){
			int a=s[i]-'a';
			int b=t[i]-'a';
			if(start[a]!=-1 || goal[b]!=-1){
				if(start[a]!=b || goal[b]!=a){
					System.out.println("No");
					return;
				}
			}
			start[a]=b;
			goal[b]=a;
		}
		System.out.println("Yes");
	}
}
