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: Wrong Answer)

#![allow(unused_imports)]

#[macro_use]
mod _input {
    use std::fmt;
    use std::io::{self, Read};
    use std::str::{self, FromStr};

    macro_rules! input {
        ($($name:ident : $t:tt), *,) => {
            input!($($name: $t),*)
        };
        ($($name:ident : $t:tt), *) => {
            let ($($name, )*) = {
                let mut _scanned = ::_input::Scanned::new(::std::io::stdin(), 1024);
                $(let $name = _read_value!(_scanned, $t);)*
                ($($name, )*)
            };
            $(let _ = &$name;)*
        };
    }

    macro_rules! _read_value {
        ($scanned:expr, ($($t:tt), *)) => {
            ($(_read_value!($scanned, $t)), *)
        };
        ($scanned:expr, [$t:tt; $n:expr]) => {
            (0..$n).map(|_| _read_value!($scanned, $t)).collect::<Vec<_>>()
        };
        ($scanned:expr, _bytes) => {
            _read_value!($scanned, String).into_bytes()
        };
        ($scanned:expr, _index) => {
            _read_value!($scanned, usize) - 1
        };
        ($scanned:expr, $t:ty) => {
            $scanned.next::<$t>()
        };
    }

    #[derive(Default)]
    pub struct Scanned {
        buf: Vec<u8>,
        pos: usize,
    }

    impl Scanned {
        pub fn new<R: Read>(mut input: R, estimated: usize) -> Self {
            let mut buf = Vec::with_capacity(estimated);
            let _ = io::copy(&mut input, &mut buf).unwrap();
            // if buf.last() != Some(&b'\n') {
            //     buf.push(b'\n');
            // }
            // assert!(buf.iter().all(|&b| b <= 0x7f));
            Scanned { buf: buf, pos: 0 }
        }

        #[inline]
        pub fn next<T: FromStr>(&mut self) -> T
        where
            T::Err: fmt::Debug,
        {
            let mut start = None;
            loop {
                match (self.buf[self.pos], start.is_some()) {
                    (b' ', true) | (b'\n', true) => break,
                    (_, true) | (b' ', false) | (b'\n', false) => self.pos += 1,
                    (_, false) => start = Some(self.pos),
                }
            }
            let target = &self.buf[start.unwrap()..self.pos];
            unsafe { str::from_utf8_unchecked(target) }.parse().unwrap()
        }
    }
}

#[allow(dead_code)]
mod output {
    use std::io::{self, BufWriter, StdoutLock, Write as _Write};

    pub fn with_stdout<F: FnMut(&mut BufWriter<StdoutLock>)>(mut f: F) {
        let stdout = io::stdout();
        let mut stdout = BufWriter::new(stdout.lock());
        f(&mut stdout);
        stdout.flush().unwrap();
    }
}

use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
use std::io::Write;
use std::ops::{
    Add, AddAssign, BitAnd, BitAndAssign, BitOr, BitOrAssign, BitXor, BitXorAssign, Div, DivAssign,
    Mul, MulAssign, Neg, Not, Rem, RemAssign, Sub, SubAssign,
};
use std::str::{self, FromStr};
use std::{char, cmp, f32, f64, fmt, i16, i32, i64, i8, thread, u16, u32, u64, u8};

fn main() {
    input! {
        s: _bytes,
        t: _bytes,
    }
    if num(&s) != num(&t) {
        return println!("No");
    }
    let mut m = vec![None; 27];
    for (&c1, &c2) in s.iter().zip(&s) {
        if let Some(c3) = m[i_from(c1)] {
            if c3 != c2 {
                return println!("No");
            }
        }
        m[i_from(c1)] = Some(c2);
    }
    for (i, c2) in m.into_iter().enumerate() {
        let mut k = 0;
        if let Some(c2) = c2 {
            let c1 = i as u8 + b'a';
            if c1 != c2 {
                k += 1;
            }
        }
        if k % 2 == 1 {
            return println!("No");
        }
    }
    println!("Yes");
}

fn num(cs: &[u8]) -> usize {
    let mut m = [false; 27];
    for &c in cs {
        m[i_from(c)] = true;
    }
    (0..27).filter(|&i| m[i]).count()
}

fn i_from(c: u8) -> usize {
    (c - b'a').into()
}