//---------- begin SegmentTree Point update Range query ---------- pub trait PURQ { type T: Clone; fn fold(l: &Self::T, r: &Self::T) -> Self::T; fn e() -> Self::T; } struct SegmentTreePURQ { seg: Vec, size: usize, } #[allow(dead_code)] impl SegmentTreePURQ { fn new(n: usize) -> SegmentTreePURQ { let size = n.next_power_of_two(); SegmentTreePURQ { seg: vec![R::e(); 2 * size], size: size, } } fn build_by(a: &[R::T]) -> SegmentTreePURQ { let size = a.len().next_power_of_two(); let mut b = vec![R::e(); 2 * size]; for i in 0..a.len() { b[i + size] = a[i].clone(); } let mut seg = SegmentTreePURQ { seg: b, size: size }; seg.update_all(); seg } fn update(&mut self, x: usize, v: R::T) { assert!(x < self.size); let mut x = x + self.size; let a = &mut self.seg; a[x] = v; x >>= 1; while x > 0 { a[x] = R::fold(&a[2 * x], &a[2 * x + 1]); x >>= 1; } } fn update_tmp(&mut self, x: usize, v: R::T) { self.seg[self.size + x] = v; } fn update_all(&mut self) { let a = &mut self.seg; for i in (1..self.size).rev() { a[i] = R::fold(&a[2 * i], &a[2 * i + 1]); } } fn find(&self, l: usize, r: usize) -> R::T { assert!(l <= r && r <= self.size); let mut x = R::e(); let mut y = R::e(); let mut l = l + self.size; let mut r = r + self.size; let a = &self.seg; while l < r { if l & 1 == 1 { x = R::fold(&x, &a[l]); l += 1; } if r & 1 == 1 { r -= 1; y = R::fold(&a[r], &y); } l >>= 1; r >>= 1; } R::fold(&x, &y) } // f(a[l..k]) がkについてfalse, false, ..., true みたいに単調であるとした時 // 戻り値xは // f(&a[l..x]) = false // f(&a[l..=x]) = true // を満たす fn search_right(&self, l: usize, f: F) -> usize where F: Fn(&R::T) -> bool, { let a = &self.seg; let mut v = R::e(); let mut r = self.size * 2; let mut l = l + self.size; while l < r { if l & 1 == 1 { let u = R::fold(&v, &a[l]); if f(&u) { break; } l += 1; v = u; } l >>= 1; r >>= 1; } if l == r { return self.size; } while l < self.size { let x = 2 * l; let u = R::fold(&v, &a[x]); if f(&u) { l = x; } else { l = x + 1; v = u; } } l - self.size } } //---------- end SegmentTree Point update Range query ---------- // ---------- begin scannner ---------- #[allow(dead_code)] mod scanner { use std::str::FromStr; use std::str::SplitWhitespace; use std::io::Read; use std; pub struct Scanner<'a> { it: SplitWhitespace<'a> } impl<'a> Scanner<'a> { pub fn new(s: &'a String) -> Scanner<'a> { Scanner { it: s.split_whitespace() } } pub fn next(&mut self) -> T { match self.it.next().unwrap().parse::() { Ok(v) => v, _ => panic!("Scanner error") } } pub fn next_chars(&mut self) -> Vec { self.next::().chars().collect() } pub fn next_vec(&mut self, len: usize) -> Vec { (0..len).map(|_| self.next()).collect() } } pub fn read_string() -> String { let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s } } // ---------- end scannner ---------- use std::io::Write; struct R; impl PURQ for R { // d, 角度, x, y, 角度2 type T = (f64, f64, f64, f64, f64); fn fold(l: &Self::T, r: &Self::T) -> Self::T { let (a, b, c) = (l.2, l.3, l.4); let (p, q, r, s, t) = *r; let rad = c + q; let mut ans = (l.0, l.1, a, b, c + t + q); ans.2 += p * rad.cos(); ans.3 += p * rad.sin(); ans.2 += r * rad.cos() - s * rad.sin(); ans.3 += r * rad.sin() + s * rad.cos(); ans } fn e() -> Self::T { (0.0, 0.0, 0.0, 0.0, 0.0) } } fn main() { let sc = scanner::read_string(); let mut sc = scanner::Scanner::new(&sc); let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); run(&mut sc, &mut out); } fn run(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter) { let n: usize = sc.next(); let q: usize = sc.next(); let mut seg = SegmentTreePURQ::::new(n + 1); for i in 1..=n { seg.update_tmp(i, (1.0, 0.0, 0.0, 0.0, 0.0)); } seg.update_all(); let mut p = vec![(1.0, 0.0); n + 1]; for _ in 0..q { let op: usize = sc.next(); let k: usize = sc.next(); if op == 0 { let x: f64 = sc.next(); let d = p[k].0; let rad = x / 360.0 * std::f64::consts::PI * 2.0; p[k].1 = rad; seg.update(k, (d, rad, 0.0, 0.0, 0.0)); } else if op == 1 { let x: f64 = sc.next(); let rad = p[k].1; p[k].0 = x; seg.update(k, (x, rad, 0.0, 0.0, 0.0)); } else { let p = seg.find(0, k + 1); let (x, y) = (p.2, p.3); writeln!(out, "{:.7} {:.7}", x, y).ok(); } } }