// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use competitive::prelude::*;
use std::collections::{HashMap, HashSet};

struct GCD {
    cache: Vec<Vec<Vec<usize>>>
}

impl GCD {
    fn double_gcd(&mut self, a: usize, b: usize, c: usize) -> usize {
        let mut key = vec![a, b, c];
        key.sort();
        let cached_value = self.cache[key[0]][key[1]][key[2]];
        if cached_value != 0 {
            cached_value
        } else {
            let x = gcd(key[0], key[1]);
            let result = gcd(x, key[2]);
            self.cache[key[0]][key[1]][key[2]] = result;
            result
        }
    }
}


fn main() {
    input! {
        k: usize
    }
    let mut calc = GCD {cache: vec![vec![vec![0; k+1]; k+1]; k+1]};
    let mut result: usize = 0;
    for i in 1..=k {
        for j in 1..=k {
            for k in 1..=k {
                result += calc.double_gcd(i, j, k);
            }
        }
    }
    println!("{}", result);
}
*/

fn main() {
    let exe = "/tmp/bin6410A19C";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAwLNBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAB70BAAAAAAAHvQEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADAQQAAAAAAAMBBAAAAAAAAAAAAAAAAACjdIQAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANw7hWlVUFgh
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";


Measured memory_bytes: 66408