#include using namespace std; #define fs first #define sc second #define pb push_back #define mp make_pair #define eb emplace_back #define ALL(A) A.begin(),A.end() #define RALL(A) A.rbegin(),A.rend() typedef long long ll; typedef pair P; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template T gcd(T a,T b){return b?gcd(b,a%b):a;} const ll mod=998244353; const ll LINF=1ll<<60; const int INF=1<<30; int dx[]={1,0,-1,0,1,-1,1,-1}; int dy[]={0,1,0,-1,1,-1,-1,1}; template< typename Monoid, typename F > struct SegmentTree { int sz; vector< Monoid > seg; const F f; const Monoid M1; SegmentTree(int n, const F f, const Monoid &M1) : f(f), M1(M1) { sz = 1; while(sz < n) sz <<= 1; seg.assign(2 * sz, M1); } void set(int k, const Monoid &x) { seg[k + sz] = x; } void build() { for(int k = sz - 1; k > 0; k--) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } void update(int k, const Monoid &x) { k += sz; seg[k] = x; while(k >>= 1) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } Monoid query(int a, int b) { Monoid L = M1, R = M1; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) L = f(L, seg[a++]); if(b & 1) R = f(seg[--b], R); } return f(L, R); } Monoid operator[](const int &k) const { return seg[k + sz]; } template< typename C > int find_subtree(int a, const C &check, Monoid &M, bool type) { while(a < sz) { Monoid nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]); if(check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template< typename C > int find_first(int a, const C &check) { Monoid L = M1; if(a <= 0) { if(check(f(L, seg[1]))) return find_subtree(1, check, L, false); return -1; } int b = sz; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) { Monoid nxt = f(L, seg[a]); if(check(nxt)) return find_subtree(a, check, L, false); L = nxt; ++a; } } return -1; } template< typename C > int find_last(int b, const C &check) { Monoid R = M1; if(b >= sz) { if(check(f(seg[1], R))) return find_subtree(1, check, R, true); return -1; } int a = sz; for(b += sz; a < b; a >>= 1, b >>= 1) { if(b & 1) { Monoid nxt = f(seg[--b], R); if(check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } }; template< typename Monoid, typename F > SegmentTree< Monoid, F > get_segment_tree(int N, const F& f, const Monoid& M1) { return {N, f, M1}; } using S = tuple; int main(){ int n,q;cin >> n >> q; auto f = [](S l, S r){ auto [lx, ly, ls] = l; auto [rx, ry, rs] = r; long double xx = rx * cos(ls) - ry * sin(ls), yy = rx * sin(ls) + ry * cos(ls); long double nx = lx + xx, ny = ly + yy, ns = ls + rs; return S{nx, ny, ns}; }; auto seg = get_segment_tree(n, f, S{0.0, 0.0, 0.0}); for (int i = 0; i < n; i++) { seg.update(i, {1.0, 0.0, 0.0}); } seg.build(); while(q--){ int t;cin >> t; if(t == 0){ int i;cin >> i; long double th;cin >> th; th = th / 180 * acosl(-1); auto [x, y, sth] = seg[i-1]; long double r = sqrt(x * x + y * y); seg.update(i-1, {r * cos(th), r * sin(th), th}); } else if(t == 1){ int i;cin >> i; long double r;cin >> r; auto [x, y, th] = seg[i-1]; seg.update(i-1, {r * cos(th), r * sin(th), th}); } else{ int i;cin >> i; auto t = seg.query(0, i); cout << setprecision(30) << fixed << get<0>(t) << " " << get<1>(t) << endl; } } return 0; }