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 Rust (1.15.1) (judge verdict: Accepted)

use std::io::{ stdin, stdout, Write, BufRead };

fn main() {
  let mut s = Vec::with_capacity(7);
  let mut t = Vec::with_capacity(7);

  {
    let stdin = stdin();
    let mut reader = stdin.lock();
    let len = reader.read_until(b'\n', &mut s).unwrap() - 1;
    s.truncate(len);
    let len = reader.read_until(b'\n', &mut t).unwrap() - 1;
    t.truncate(len);
  }

  let mut s2t = [0; 27];
  let mut t2s = [0; 27];

  let mut i = 0;
  while i < t.len() {
    let c1 = (s[i] - 0x60) as usize;
    let c2 = (t[i] - 0x60) as usize;

    if s2t[c2] == 0 {
      s2t[c2] = c1;
    }
    if t2s[c1] == 0 {
      t2s[c1] = c2;
    }

    if s2t[c2] != c1 || t2s[c1] != c2 {
      let stdout = stdout();
      let mut writer = stdout.lock();
      writer.write(b"No\n").unwrap();
      writer.flush().unwrap();
      return;
    }

    i += 1;
  }

  let stdout = stdout();
  let mut writer = stdout.lock();
  writer.write(b"Yes\n").unwrap();
  writer.flush().unwrap();
}