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 s,t;
    cin>>s>>t;
    vector<int> c1(26,0),c2(26,0);
    for(int i = 0; i < s.size(); i++){
        c1[s[i]-'a']++;
        c2[t[i]-'a']++;
    }
    sort(c1.begin(),c1.end());
    sort(c2.begin(),c2.end());
    if(c1==c2)
        cout<<"Yes";
    else
        cout<<"No";
}