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 <bits/stdc++.h>
#define FOR(i, m, n) for (ll i = m; i < (n); i++)
#define RFOR(i, m, n) for (ll i = (m - 1); i >= 0; i--)
#define REP(i, n) FOR(i, 0, n)
#define RREP(i, n) RFOR(i, n, 0)
#define ALL(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()
#define print(ele) cout << (ele) << "\n"
#define print10(ele) cout << fixed << setprecision(10) << (ele) << "\n"

using namespace std;
typedef long long ll;
typedef vector<int> ivec;
typedef vector<string> svec;
typedef vector<ll> lvec;

const int mod = 1e9 + 7;
const ll INF = 1000000000000000000LL;

int main() {
  string s, t;
  cin >> s >> t;
  bool ok = true;
  int n = s.size();
  map<char, char> mp;
  REP(i, 26) { mp['a' + i] = '#'; }
  REP(i, n) {
    if (mp[t[i]] == '#') {
      mp[t[i]] = s[i];
    } else {
      if (mp[t[i]] != s[i]) {
        ok = false;
        break;
      }
    }
  }
  print(ok ? "Yes" : "No");
  return 0;
}