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: Accepted)

#include<iostream>
#include<cstdio>
#include<cmath>
#include<vector>
#include<queue>
#include<map>
#include<algorithm>
#include<set>
#include<complex>
#include<string>
#include<cstring>
using namespace std;
#define rep2(x,from,to) for(int x=(from);(x)<(to);(x)++)
#define rep(x,to) rep2(x,0,to)
#define INF 100000000
#define debug(x) cout<<#x<<": "<<x<<endl

#define all(x) x.begin(),x.end()
typedef pair<int,int> P;
typedef pair<int,P> PP;
int n;
int k;
int u;
string s,t;
vector<int> d[27];
vector<int> e[27];
int ll[200006];
int rr[200006];
int main()
{
	cin>>s;
	cin>>t;
	n=s.size();
	rep(i,n)
	{
		k=(int)(s[i]-'a');
		u=(int)(t[i]-'a');
		d[k].push_back(i);
		e[u].push_back(i);
	}
	rep(kkk,26)rep(i,d[kkk].size())
	{
		ll[d[kkk][i]]=d[kkk][0];
	}
	rep(kkk,26)
	{
		rep(i,e[kkk].size())
		{
			rr[e[kkk][i]]=e[kkk][0];
		}
	}
	rep(i,n)
	{
		if(ll[i]!=rr[i])
		{
			cout<<"No"<<endl;
			return 0;
		}
	}
	cout<<"Yes"<<endl;
	return 0;
}