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
#include<bits/stdc++.h>
using namespace std;

int main(){
  string a,b;
  int f=1;
  cin>>a>>b;
  int u1[30]={},u2[30]={};
  int cnt=1;
  for(int i=0;i<a.size();i++){
    int t=a[i]-'a';
    int k=b[i]-'a';
    if(u1[t]!=u2[k])f=0;
    if(u1[t]==0){
      u1[t]=u2[k]=cnt++;
    }
  }
  cout<<(f?"Yes":"No")<<endl;
  return 0;
}
