use std::cmp::*; use std::collections::*; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes.by_ref().map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr,) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ($(read_value!($next, $t)),*) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } fn main() { // In order to avoid potential stack overflow, spawn a new thread. let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); thd.spawn(|| solve()).unwrap().join().unwrap(); } fn rec( k: usize, pst: &[(usize, usize, usize)], rem: Vec, memo: &mut HashMap, (i64, f64)>, ) -> (i64, f64) { if let Some(&val) = memo.get(&rem) { return val; } let n = pst.len(); let mut ma = 0; let mut ex = 1.0; 'outer: for bits in 0..1 << n { let mut prob = 1.0; let mut time = 0; let mut nxtrem = rem.clone(); for i in 0..n { let (p, s, t) = pst[i]; if (bits & 1 << i) != 0 { if rem[i] == 0 { continue 'outer; } nxtrem[i] -= 1; prob *= rem[i] as f64 / (p - k) as f64; time += s; } else { if rem[i] == p - k { continue 'outer; } prob *= (p - k - rem[i]) as f64 / (p - k) as f64; time += t; } } let (subma, subex) = if time <= 60 { (0, 0.0) } else { rec(k, &pst, nxtrem, memo) }; ma = max(ma, subma + 1); ex += prob * subex; } memo.insert(rem, (ma, ex)); (ma, ex) } // https://yukicoder.me/problems/no/2158 (4) // \sum s_i <= 60 のとき必ず初日で全完できる。 // \sum t_i > 60 のとき、そもそも全完は不可能である。 // 最小値は K+2 である。 // 状態数は 5^6 程度、なおかつ全部既出でない限りまだ見ていない問題は 1 問ずつ減るため、最大でも 30 日くらいで全部既出になる。 fn solve() { input! { n: usize, k: usize, pst: [(usize, usize, usize); n], } let mut init = vec![0; n]; let mut ssum = 0; let mut tsum = 0; for i in 0..n { let (p, s, t) = pst[i]; init[i] = p - k; ssum += s; tsum += t; } if ssum <= 60 { println!("1 1 1"); return; } if tsum > 60 { println!("-1"); return; } let mut memo = HashMap::new(); let (ma, ex) = rec(k, &pst, init, &mut memo); println!("{} {} {}", k + 2, ma + k as i64, ex + k as f64); }