// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use mylib::fp;
type F = fp::Fp<fp::C10E9_7>;
fn main() {
    use num::pow::pow;
    proconio::input! {
        n: usize,
        k: usize,
    }

    let mut counts = vec![F::new(0); k + 1];
    for i in (1..=k).rev() {
        counts[i] = pow(F::new(k / i), n);
        for j in 1..=k {
            if i * (j + 1) <= k {
                let s = counts[i * (j+1)];
                counts[i] -= s;
            } else {
                break;
            }
        }
    }

    let sum: F = counts.iter().enumerate().map(|(i, c)| F::new(i) * *c)
        .fold(0.into(), std::ops::Add::add);

    println!("{}", sum.value());
}
*/

fn main() {
    let exe = "/tmp/bin20F9AD05";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAHCCAwAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAUGMDAAAAAABQYwMAAAAAAAAAIAAAAAAA
AQAAAAYAAABAZgMAAAAAAEBmYwAAAAAAQGZjAAAAAACYGwAAAAAAAOg2AAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
QGYDAAAAAABAZmMAAAAAAEBmYwAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAABsHgMA
AAAAAGweQwAAAAAAbB5DAAAAAADcCQAAAAAAANwJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAQGYDAAAAAABAZmMA
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Measured memory_bytes: 2572