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: Time Limit Exceeded)

#[allow(unused_macros)]
macro_rules! invec {
    ( $t:ty ) => {{
        let mut s = String::new();
        match std::io::stdin().read_line(&mut s) {
            Ok(0) => Vec::<$t>::new(),
            Ok(n) => s
                .trim()
                .split_whitespace()
                .map(|s| s.parse::<$t>().unwrap())
                .collect::<Vec<$t>>(),
            Err(_) => Vec::<$t>::new(),
        }
    }};
}

#[allow(unused_macros)]
macro_rules! input {
    ( $($t:ty),* ) => {{
        let mut s = String::new();
        std::io::stdin().read_line(&mut s);
        let mut splits = s.trim().split_whitespace();
        ($(
            {
                 splits.next().unwrap().parse::<$t>().unwrap()
            },
        )*)
    }}
}

#[allow(unused_must_use)]
fn trans(s: &Vec<u8>, s_i: u8, t_i: u8) -> Vec<u8> {
    let mut res = Vec::<u8>::with_capacity(s.len());
    for i in 0..s.len() {
        if s[i] == s_i {
            res.push(t_i);
        } else if s[i] == t_i {
            res.push(s_i);
        } else {
            res.push(s[i]);
        };
    }
    return res;
}

#[allow(unused_must_use)]
#[allow(unused_variables)]
fn solve() {
    let (s,) = input!(String);
    let (t,) = input!(String);

    let mut su8 = s.as_bytes().to_vec();
    let tu8 = t.as_bytes();

    for i in 0..s.len() {
        if su8[i] != tu8[i] {
            su8 = trans(&su8, su8[i], tu8[i]);
        }
    }

    for i in 0..s.len() {
        if su8[i] != tu8[i] {
            println!("No");
            std::process::exit(0);
        }
    }
    println!("Yes");
}

fn main() {
    solve();
}