Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

azzel
apple

Sample Output 1

Yes

azzel can be changed to apple, as follows:

Choose e as c_1 and l as c_2. azzel becomes azzle.

Choose z as c_1 and p as c_2. azzle becomes apple.

Sample Input 2

chokudai
redcoder

Sample Output 2

No

No sequences of operation can change chokudai to redcoder.

Sample Input 3

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu

Sample Output 3

Yes

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <string>
#include <sstream>
#include <utility>
#include <iomanip>
#include <tuple>
#define ll long long int
#define rep(i,x,y) for(int i=x;i<y;i++)
#define rel(i,x,y) for(int i=x-1;i>=y;i--)
#define all(x) x.begin(),x.end()
using namespace std;
#define inf 100000000

int main(){
	cin.tie(nullptr);
	ios::sync_with_stdio(false);
	string s,t;
	cin >> s >> t;
	
	int smov[26];
	int tmov[26];
	rep(i,0,26){
		smov[i] = -1;
		tmov[i] = -1;
	}

	rep(i,0,t.size()){
		if(smov[s[i]-'a'] == -1){
			smov[s[i]-'a'] = t[i]-'a';
		}
		if(tmov[t[i]-'a'] == -1){
			tmov[t[i]-'a'] = s[i]-'a';
		}else if(smov[s[i]-'a'] != -1 && smov[s[i]-'a'] != t[i]-'a'){
			cout << "No" << endl;
			return 0;
		}else if(tmov[t[i]-'a'] != -1 && tmov[t[i]-'a'] != s[i]-'a'){
			cout << "No" << endl;
			return 0;
		}
	}
	cout << "Yes" << endl;
}