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 (1.42.0) (judge verdict: Accepted)

// // -*- coding:utf-8-unix -*-

// #[macro_use]
// extern crate lazy_static;
// extern crate num_bigint; // 0.2.2
// extern crate num_traits; // 0.2.8
// use num_bigint::BigInt;
// use num_traits::Pow;
// use petgraph::algo::dijkstra;
// use petgraph::Directed;

// // use proconio::derive_readable;
// use proconio::fastout;
// use proconio::input;
// // use std::convert::TryInto;
// use ascii::{AsciiChar, AsciiString};
// use itertools::concat;
// use lazy_static::lazy_static;
// use libm::*;
// use petgraph::Graph;
// use std::cmp::*;
// use std::collections::{BinaryHeap, HashMap, HashSet, VecDeque};
// use std::io::*;
// use std::ops::Range;
// use std::str::FromStr;
// use std::sync::Mutex;
// use superslice::*;

// pub fn read<T: FromStr>() -> T {
//     let stdin = stdin();
//     let stdin = stdin.lock();
//     let token: String = stdin
//         .bytes()
//         .map(|c| c.expect("failed to read char") as char)
//         .skip_while(|c| c.is_whitespace())
//         .take_while(|c| !c.is_whitespace())
//         .collect();
//     token.parse().ok().expect("failed to parse token")
// }

// // lazy_static! {
// //     static ref H: Mutex<Vec<i32>> = Mutex::default();
// //     static ref W: Mutex<Vec<i32>> = Mutex::default();
// // }

// // let mut values = VALUES.lock().unwrap();
// // values.extend_from_slice(&[1, 2, 3, 4]);
// // assert_eq!(&*values, &[1, 2, 3, 4]);

use proconio::{input, marker::Chars};
use std::collections::HashMap;

static ASCII_LOWER: [char; 26] = [
    'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's',
    't', 'u', 'v', 'w', 'x', 'y', 'z',
];

fn main() {
    input! {
        s: Chars,
        t: Chars,
    }

    let mut convMap = HashMap::new();
    // for cha in ASCII_LOWER.iter() {
    //     convMap.insert(*cha, None);
    // }

    for (s, t) in s.iter().zip(t.iter()) {
        // eprintln!("{}, {}, {:?}", s, t, convMap.get(s));
        if let Some(t_decided) = convMap.get(s) {
            if t_decided != t {
                println!("No");
                return;
            }
        } else {
            convMap.insert(*s, *t);
            // convMap.insert(*t, *s);
        }
    }

    let mut convMap = HashMap::new();

    for (s, t) in s.iter().zip(t.iter()) {
        let tmp = s;
        let s = t;
        let t = tmp;
        // eprintln!("{}, {}, {:?}", s, t, convMap.get(s));
        if let Some(t_decided) = convMap.get(s) {
            if t_decided != t {
                println!("No");
                return;
            }
        } else {
            convMap.insert(*s, *t);
            // convMap.insert(*t, *s);
        }
    }

    println!("Yes");
    return;
}