#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; 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) { a = abs(a), b = abs(b); while (b > 0) { tie(a, b) = make_pair(b, a % b); } return a; } //mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); constexpr long long INF = 1LL << 60; constexpr int inf = 1000000007; constexpr long long mod = 1000000007LL; constexpr int MAX = 5000000; using Real = long double; using Point = complex; Point f(Point a, Point b) { return a + b; } Point g(Point a, Point b) { return a * b; } Point h(Point a, Point b) { return a * b; } template< typename Monoid, typename OperatorMonoid = Monoid > struct LazySegmentTree { /* using F = function< Monoid(Monoid, Monoid) >; using G = function< Monoid(Monoid, OperatorMonoid) >; using H = function< OperatorMonoid(OperatorMonoid, OperatorMonoid) >; */ int sz, height; vector< Monoid > data; vector< OperatorMonoid > lazy; /* const F f; const G g; const H h; */ const Monoid M1; const OperatorMonoid OM0; LazySegmentTree(int n, /*const F f, const G g, const H h,*/ const Monoid& M1, const OperatorMonoid OM0) : /*f(f), g(g), h(h),*/ M1(M1), OM0(OM0) { sz = 1; height = 0; while (sz < n) sz <<= 1, height++; data.assign(2 * sz, M1); lazy.assign(2 * sz, OM0); } void set(int k, const Monoid& x) { data[k + sz] = x; } void build() { for (int k = sz - 1; k > 0; k--) { data[k] = f(data[2 * k + 0], data[2 * k + 1]); } } inline void propagate(int k) { if (lazy[k] != OM0) { lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]); lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]); data[k] = reflect(k); lazy[k] = OM0; } } inline Monoid reflect(int k) { return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]); } inline void recalc(int k) { while (k >>= 1) data[k] = f(reflect(2 * k + 0), reflect(2 * k + 1)); } inline void thrust(int k) { for (int i = height; i > 0; i--) propagate(k >> i); } void update(int a, int b, const OperatorMonoid& x) { if (a >= b) return; thrust(a += sz); thrust(b += sz - 1); for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) lazy[l] = h(lazy[l], x), ++l; if (r & 1) --r, lazy[r] = h(lazy[r], x); } recalc(a); recalc(b); } Monoid query(int a, int b) { if (a >= b) return M1; thrust(a += sz); thrust(b += sz - 1); Monoid L = M1, R = M1; for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) L = f(L, reflect(l++)); if (r & 1) R = f(reflect(--r), R); } return f(L, R); } Monoid operator[](const int& k) { return query(k, k + 1); } }; int main() { /* cin.tie(nullptr); ios::sync_with_stdio(false); */ int n, kkt; cin >> n >> kkt; LazySegmentTree lsg(n, Point(0, 0), Point(1, 0)); vector deg(n); vector len(n, 1.0); for (int i = 0; i < n; i++) { lsg.set(i, Point(1, 0)); } lsg.build(); while (kkt--) { int t; cin >> t; if (t == 0) { int i, x; cin >> i >> x; i--; if (x > 180) x = -(360 - x); Real cur = (Real)x * acos(-1) / 180.0; Real b = cur - deg[i]; lsg.update(i, n, polar((Real)1.0, b)); deg[i] = cur; } if (t == 1) { int i, x; cin >> i >> x; i--; Real b = (Real)x / len[i]; lsg.update(i, i + 1, Point(b, 0)); len[i] = x; } if (t == 2) { int i; cin >> i; auto res = lsg.query(0, i); cout << fixed << setprecision(12) << res.real() << " " << res.imag() << "\n"; } } return 0; }