fn main() { proconio::input! { n: usize, p: usize, } let mut divisors = vec![vec![]; n + 1]; for i in 1..=n { for j in (i..=n).step_by(i) { divisors[j].push(i); } } let mut invs = vec![0; n + 1]; invs[1] = 1; for i in 2..=n { invs[i] = (p - p / i) * invs[p % i] % p; } let mut dp = vec![0; n + 1]; let mut total = 0; for i in 3..=n { let d_sum = divisors[i].iter().map(|&d| dp[d]).sum::() % p; let dp_i = (total + i + p - d_sum) * invs[i - divisors[i].len()] % p; for &d in &divisors[i] { total = (total + dp_i + p - dp[d]) % p; dp[d] = dp_i; } } println!("{}", dp[n]); }