use std::collections::HashMap; fn get_primes(n: usize) -> Vec { let mut flgs = vec![true; n+1]; flgs[0] = false; flgs[1] = false; let lim: usize = (n as f64).sqrt().ceil() as usize + 1; for i in 2..lim { if !flgs[i] { continue; } for j in i..=(n / i) { flgs[i*j] = false; } } flgs.iter().enumerate() .filter(|pair| *pair.1) .map(|pair| pair.0) .collect() } //TODO fn main() { let mut nk = String::new(); std::io::stdin().read_line(&mut nk).ok(); let nk: Vec = nk.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let n = nk[0]; let k = nk[1]; let mut divisors: Vec<(usize, usize)> = vec![(0, 0); n+1]; let primes: Vec = get_primes(n); for i in 2..=n { let mut num = i; let mut idx = 0; let mut mapping: HashMap = HashMap::new(); while num > 1 { if num % primes[idx] == 0 { num /= primes[idx]; if let Some(x) = mapping.get_mut(&primes[idx]) { *x += 1; } else { mapping.insert(primes[idx], 1); } } else { idx += 1; } } divisors[i] = ( mapping.iter().map(|pair| pair.1).sum::() , mapping.iter().map(|pair| pair.1 + 1).fold(1, |acc, i| acc * i) ); } let mut max_div: usize = 0; let mut result: usize = 0; let mut base: Vec = vec![]; for i in 2..n { if divisors[i].0 == k && n % i == 0 { base.push(i); } for b in &base { if i % b == 0 { if divisors[i].1 > max_div { max_div = divisors[i].1; result = i; } } } } println!("{}", result); }