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;

    bool ans = true;
    map<char, char> ma, ima;

    for (int i = 0; i < S.size(); ++i) {
        char s = S[i], t = T[i];
        if (ma.count(s)) if (ma[s] != t) ans = false;
        if (ima.count(t)) if (ima[t] != s) ans = false;
        ma[s] = t;
        ima[t] = s;
    }
    cout << (ans ? "Yes" : "No") << endl;
}