// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#[allow(unused_imports)]
use algo;
use primes;
#[allow(unused_imports)]
use proconio::input;
#[allow(unused_imports)]
use proconio::marker::{Bytes, Chars, Isize1, Usize1};
#[allow(unused_imports)]
use std::cmp::{max, min};
#[allow(unused_imports)]
use std::collections::{HashMap, HashSet};

#[allow(non_snake_case)]
fn main() {
    input! {N:usize}
    let p = primes::factors(N as u64);
    let mut ans = 0;
    let mut c = Vec::new();
    let mut prev = 0;
    let mut cnt = 0;
    for x in p {
        if prev == x {
            cnt += 1;
        } else {
            c.push(cnt);
            cnt = 1;
        }
        prev = x;
    }
    c.push(cnt);

    for mut x in c {
        for i in 1..100 {
            if x >= i {
                ans += 1;
                x -= i;
            } else {
                break;
            }
        }
    }

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

fn main() {
    let exe = "/tmp/binA0DDFC22";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAA2ONBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAH+0BAAAAAAAf7QEAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAAAAAAAAAAADwQQAAAAAAAPBBAAAAAAAAAAAAAAAAAEhNIgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAOM7h5ZVUFgh
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bC4M7bE2e2dvdBEFHGNvbSl0F4C1bhMACwMBs2AP1gYPkAFABw+yIRuyAy8BDxE/2MEGGaCgKBZcQQ/J
kF0QPxe2XUPYBNhgBwN/HRMggw02Ag/AP8BkyC7si2UvID8le9Ymh0zDBz9ECS85GbILBD8zcHvWJg+Q
zAc/CDovBhuyCwg/PRMDexbswVggC2QHEMgAv4Ed5CJDAwA/h+wiexgTf1A/OB4CedYmBz+4AdZCdtgH
VT94PywkZ20HP1i/7GDDjlv/D2AhP+wiefJYIegbYH/GYSEbMBc/ET9AOrAQBwMXhDIGG2k/aX8AAAAA
AAASAP8AAAAAVVBYIQAAAAAAAABVUFghDRYCCrULy2wHffHUAAQAAEcBAABYJQQASRQAsvQAAAA=
";


Measured memory_bytes: 2480