// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#![allow(unused_imports)]
#![allow(unused_variables)]

use itertools::Itertools;
use primal::*;
use proconio::{fastout, input};

#[fastout]
fn main() {
    input! {
        n: usize
    }
    // annotate for rust-analyzer
    let n: usize = n;

    let (lower, upper) = estimate_nth_prime(1e6 as u64);
    let sieve = Sieve::new(upper as usize);
    let f = sieve.factor(n);

    let mut ans = 0;
    if let Ok(a) = f {
        for (p, e) in a {
            let mut c = e as i64;
            let mut i = 1;
            while c > 0 {
                c -= i;
                i += 1;
                if c >= 0 {
                    ans += 1;
                }
            }
        }
    }

    println!("{}", ans);
}
*/

fn main() {
    let exe = "/tmp/bin43229EA0";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAyCZCAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAADzACAAAAAAAPMAIAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAABAQgAAAAAAAEBCAAAAAAAAAAAAAAAAAEiNIgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOY70alVUFgh
VAkNFgAAAABYtQQAWLUEAJABAACWAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANIARADxvybRYFANixBAAT
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";


Measured memory_bytes: 2468