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

use competitive_hpp::prelude::*;
use std::collections::HashMap;

#[fastout]
fn main() {
    input! {
        N: i64,
    }

    let N: i64 = N;

    let mut ans = 0;
    let mut factors = N.factors_map();
    let mut chosen: HashMap<i64, i64> = HashMap::new();
    factors.remove(&1);

    loop {
        let mut flag = true;
        for (&k, &v) in factors.clone().iter() {
            let t = chosen.entry(k).or_default();
            if v > *t {
                *t += 1;
                factors.entry(k).and_modify(|e| *e -= *t);
                ans += 1;
                flag = false;
            }
        }
        if flag {
            break;
        }
    }
    println!("{}", ans)
}
*/

fn main() {
    let exe = "/tmp/binD9297B1C";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYPlBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAApwICAAAAAACnAgIAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAAAQQgAAAAAAABBCAAAAAAAAAAAAAAAAAEhdIgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOQ79ZxVUFgh
VAkNFgAAAABYVQQAWFUEAJABAACYAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANEANADxvybRYFANhRBAAT
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";


Measured memory_bytes: 2512