#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::{Write, BufWriter}; // 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, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => (read_value!($next, usize) - 1); ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } trait Change { fn chmax(&mut self, x: Self); fn chmin(&mut self, x: Self); } impl Change for T { fn chmax(&mut self, x: T) { if *self < x { *self = x; } } fn chmin(&mut self, x: T) { if *self > x { *self = x; } } } // ax^2 + bx + c = 0 // None: infinitely many solutions fn quad(a: i64, b: i64, c: i64) -> Option> { if a == 0 { if b == 0 { if c == 0 { return None; } else { return Some(vec![]); } } return Some(vec![-c as f64 / b as f64]); } let mut ans = vec![]; if b * b / 4 >= a * c { let cent = -b as f64 / 2.0 / a as f64; let delta = ((b as f64 * b as f64 - 4.0 * a as f64 * c as f64) as f64).sqrt() / 2.0 / a.abs() as f64; ans.push(cent - delta); if b * b % 4 != 0 || b * b / 4 > a * c { ans.push(cent + delta); if ans[0].abs() < ans[1].abs() { ans[0] = c as f64 / a as f64 / ans[1]; } else { ans[1] = c as f64 / a as f64 / ans[0]; } } } Some(ans) } // Tags: quadratic-equation fn main() { input!(a: i64, b: i64, c: i64); let v = quad(a, b, c).unwrap(); if v.is_empty() { println!("imaginary"); return; } for i in 0..v.len() { print!("{}{}", v[i], if i + 1 == v.len() { "\n" } else { " " }); } }