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, usize1) => (read_value!($next, usize) - 1); ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } type C = (f64, f64); fn addc((a, b): C, (c, d): C) -> C { (a + c, b + d) } fn mulc((a, b): C, (c, d): C) -> C { (a * c - b * d, a * d + b * c) } fn invc((a, b): C) -> C { (a, -b) // norm = 1, so inv = conj } fn mul((a, x): (C, C), (b, y): (C, C)) -> (C, C) { (mulc(a, b), addc(mulc(x, b), y)) } fn inv((a, (x, y)): (C, C)) -> (C, C) { let inva = invc(a); (inva, mulc(inva, (-x, -y))) } fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} input! { n: usize, pqr: [(f64, f64, f64); n], q: usize, stxy: [(usize1, usize, (f64, f64)); q], } let mut acc = vec![((1.0, 0.0), (0.0, 0.0)); n + 1]; for i in 0..n { let (p, q, r) = pqr[i]; let r = r * std::f64::consts::PI / 180.0; let r = (r.cos(), r.sin()); acc[i + 1] = mul(acc[i], (r, addc(mulc(r, (-p, -q)), (p, q)))); } for (s, t, xy) in stxy { let (a, b) = mul(inv(acc[s]), acc[t]); let (x, y) = addc(mulc(a, xy), b); puts!("{} {}\n", x, y); } }