#![allow(unused_imports, unused_variables, dead_code, non_snake_case, unused_macros)] use std::io::{stdin, Read, StdinLock}; use std::str::FromStr; use std::fmt::*; use std::str::*; use std::cmp::*; use std::collections::*; fn getline() -> String{ let mut res = String::new(); std::io::stdin().read_line(&mut res).ok(); res } macro_rules! readl { ($t: ty) => { { let s = getline(); s.trim().parse::<$t>().unwrap() } }; ($( $t: ty),+ ) => { { let s = getline(); let mut iter = s.trim().split(' '); ($(iter.next().unwrap().parse::<$t>().unwrap(),)*) } }; } macro_rules! readlvec { ($t: ty) => { { let s = getline(); let iter = s.trim().split(' '); iter.map(|x| x.parse().unwrap()).collect::>() } } } macro_rules! mvec { ($v: expr, $s: expr) => { vec![$v; $s] }; ($v: expr, $s: expr, $($t: expr),*) => { vec![mvec!($v, $($t),*); $s] }; } macro_rules! debug { ($x: expr) => { println!("{}: {:?}", stringify!($x), $x) } } fn printiter<'a, T>(v: &'a T) where &'a T: std::iter::IntoIterator, <&'a T as std::iter::IntoIterator>::Item: std::fmt::Display { for (i,e) in v.into_iter().enumerate() { if i != 0 { print!(" "); } print!("{}", e); } println!(""); } struct ContestPrinter { s: String, } impl ContestPrinter { fn new() -> ContestPrinter { ContestPrinter { s: String::new(), } } fn print(&mut self, x: T) where T: std::fmt::Display { self.s.push_str(format!("{}", x).as_str()); } fn println(&mut self, x: T) where T: std::fmt::Display { self.s.push_str(format!("{}\n", x).as_str()); } } impl std::ops::Drop for ContestPrinter { fn drop(&mut self) { print!("{}", self.s); } } fn is_max_i64(num: i64) -> bool { if num == i64::max_value() { true } else { false } } // 指定した数までの素数のvec エラトステネスの篩 fn prime_list(n: usize) -> Vec { let mut ret: Vec = Vec::new(); let num = n - 1; let mut table: Vec = vec![false; num]; for i in 0..num { if !table[i] { let next = i + 2; ret.push(next); let mut j = i + next; while j < num { table[j] = true; j += next; } } } ret } // [2, 3, 5, 7, ..., n] // 素因数分解 fn prime_factorization(n: usize) -> Vec<(usize, usize)> { let mut ret: Vec<(usize, usize)> = Vec::new(); let pl = prime_list((n as f64).sqrt() as usize + 1); let mut num = n; for p in pl { // 各素数で割れるだけ割る let mut cnt = 0; while (num % p) == 0 { num /= p; cnt += 1; } if cnt > 0 { ret.push((p, cnt)); } } if ret.is_empty() { vec![(n, 1); 1] } else { ret } } // n = 2*2*2 + 3 -> [(2, 3), (3, 1)] fn is_prime(n: i64) -> bool { let mut i = 2; loop { if (n % i) == 0 {return false; } i += 1; if (i*i) > n { break; } } return true; } // オイラーのφ関数 nと互いに素(gcdが1)な数の個数が取れる fn euler_phi_vec(n: usize) -> Vec { let mut f: Vec = vec![0; n]; let mut p: Vec = vec![1; n]; for i in 0..n { f[i] = i as u64; } for i in 2..n { if p[i] != 0 { f[i] -= f[i] / i as u64; let mut j = i + i; loop { if j >= n { break; } p[j] = 0; f[j] -= f[j] / i as u64; j += i; } } } f } fn main() { let mut pr = ContestPrinter::new(); let N = readl!(usize); let prime_table = prime_list(N); let mut dp: Vec = vec![-1; N+1]; dp[0] = 0; for p in prime_table { for i in (0..N).rev() { if (dp[i] != -1) & ((i + p) < (N + 1)) { dp[i+p] = max(dp[i+p], dp[i] + 1); } } } pr.println(dp[N]); }