fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } fn extract_primes(n: usize) -> Vec { let mut is_prime = vec![true; n]; let mut primes = Vec::new(); is_prime[0] = false; is_prime[1] = false; for i in 2..n { if is_prime[i] { primes.push(i); let mut j = 2 * i; while j < n { is_prime[j] = false; j += i; } } } primes } fn main() { let n: usize = read(); // let n = 10000; let primes = extract_primes(n + 1); let mut dp = vec![-1; n + 1]; for p in primes { // println!("{:?}", dp); for i in (0..dp.len()).rev() { if dp[i] != - 1 && i + p < n + 1 { dp[i + p] = std::cmp::max(dp[i + p], dp[i] + 1); } } dp[p] = std::cmp::max(1, dp[p]); } println!("{:?}", dp[n]); }