// URL : https://yukicoder.me/problems/no/1226 #pragma region optimize // #pragma GCC optimize("Ofast") // #pragma GCC optimize("unroll-loops") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx") #pragma endregion #include using namespace std; #pragma region boost multiprecision // #include // #include // using Bint = boost::multiprecision::cpp_int; // using Bfloat32 = boost::multiprecision::number>; // using Bfloat1024 = boost::multiprecision::number>; #pragma endregion // #define int long long // #define endl '\n' #pragma region TEMPLATE // clang-format off /* TYPE */ typedef long long ll; typedef long double ld; typedef pair pii; typedef pair pll; typedef vector vpii; typedef vector vpll; typedef vector vi; typedef vector vl; typedef vector vst; typedef vector vb; typedef vector vld; typedef vector> vvi; template> using prique = priority_queue, Cmp>; template using prique_r = prique>; /* CONSTANT */ #define ln '\n' const int INF = 1 << 30; const ll INFF = 1LL << 60; const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const int MOD = 1e9 + 7; const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz"; const double EPS = 1e-9; const ld PI = 3.14159265358979323846264338327950288; const int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1, 0 }; const int dy[] = { 0, 1, 0, -1, -1, -1, 1, 1, 0 }; /* CONTAINER */ #define PB emplace_back #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(RALL(v)) #define LESS(x, val) (lower_bound(x.begin(), x.end(), val) - x.begin()) #define LEQ(x, val) (upper_bound(x.begin(), x.end(), val) - x.begin()) #define GREATER(x, val) (int)(x).size() - LEQ((x), (val)) #define GEQ(x, val) (int)(x).size() - LESS((x), (val)) #define UNIQUE(v) sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end()) template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>(a, make_v(ts...)); } template enable_if_t::value != 0> fill_v(U &u, const V... v) { u = U(v...); } template enable_if_t::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v(e, v...); } /* LOOP */ #define _overload3(_1, _2, _3, name, ...) name #define _REP(i, n) REPI(i, 0, n) #define REPI(i, a, b) for (ll i = (ll)a; i < (ll)b; ++i) #define REP(...) _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__) #define _RREP(i, n) RREPI(i, n, 0) #define RREPI(i, a, b) for (ll i = (ll)a; i >= (ll)b; --i) #define RREP(...) _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__) #define EACH(e, v) for (auto& e : v) #define PERM(v) sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v))) /* INPUT */ template void SSS(T& t) { cin >> t; } template void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); } #define SS(T, ...) T __VA_ARGS__; SSS(__VA_ARGS__); #define SV(T, v, n) vector v(n); for (auto& i : v) cin >> i; #define SVV(T, v, n, m) vector> v(n, vector(m)); for (auto& r : v) for (auto& i : r) cin >> i; /* OUTPUT */ // Yes / No inline int YES(bool x) { cout << (x ? "YES" : "NO") << endl; return 0; } inline int Yes(bool x) { cout << (x ? "Yes" : "No") << endl; return 0; } inline int yes(bool x) { cout << (x ? "yes" : "no") << endl; return 0; } inline int yES(bool x) { cout << (x ? "yES" : "nO") << endl; return 0; } inline int Yay(bool x) { cout << (x ? "Yay!" : ":(") << endl; return 0; } // PROTOTYPE DECLARATION template ostream &operator<<(ostream &os, const pair &j); template ostream &operator<<(ostream &os, const tuple &t); template::value, decltype(declval().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os, const C &c); template ostream &operator<<(ostream &os, const stack &j); template ostream &operator<<(ostream &os, const queue &j); template ostream &operator<<(ostream &os, const priority_queue &j); // IMPLEMENTATION template ostream &operator<<(ostream &os, const pair &j) { return os << '{' << j.first << ", " << j.second << '}'; } template enable_if_t PRINT_TUPLE(ostream &os, const tuple &t) {} template enable_if_t PRINT_TUPLE(ostream &os, const tuple &t) { os << get(t); if (num + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE(os, t); } template ostream &operator<<(ostream &os, const tuple &t) { PRINT_TUPLE(os << '{', t); return os << '}'; } template::value, decltype(declval().begin(), nullptr)>> ostream& operator<<(ostream &os, const C &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; } template ostream &operator<<(ostream &os, const stack &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } template ostream &operator<<(ostream &os, const queue &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); return os << d; } template ostream &operator<<(ostream &os, const priority_queue &j) { deque d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } // OUTPUT FUNCTION template int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; } inline int print() { cout << endl; return 0; } template int print(Head&& head){ cout << head; return print(); } template int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward(tail)...); } #ifdef LOCAL inline void dump() { cerr << endl; } template void dump(Head&& head) { cerr << head; dump(); } template void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward(tail)...); } #define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false) #else #define dump(...) #define debug(...) #endif /* OTHER */ #define fi first #define se second #define MP make_pair #define MT make_tuple template inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); } template inline bool chmax(A &a, const B &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A &a, const B &b) { if (a > b) { a = b; return true; } return false; } inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1) r *= a; a *= a; } while (b >>= 1); return r; } struct abracadabra { abracadabra() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(5); }; } ABRACADABRA; // clang-format on #pragma endregion #pragma region datastructure lazy segment tree /** * @brief 遅延セグメント木 * @docs docs/datastructure/segmenttree/lazysegmenttree.md */ template struct LazySegmentTree { int sz; const M ID_M; const OM ID_OM; F f; G g; H h; P p; vector dat; vector laz; LazySegmentTree(int n, M ID_M, OM ID_OM, F f, G g, H h, P p) : ID_M(ID_M), ID_OM(ID_OM), f(f), g(g), h(h), p(p) { build(n); } LazySegmentTree(const vector &v, M ID_M, OM ID_OM, F f, G g, H h, P p) : ID_M(ID_M), ID_OM(ID_OM), f(f), g(g), h(h), p(p) { int n = v.size(); build(n); for (int i = 0; i < n; ++i) dat[i + sz - 1] = v[i]; for (int i = sz - 2; i >= 0; --i) dat[i] = f(dat[2 * i + 1], dat[2 * i + 2]); } void build(int n) { sz = 1; while (sz < n) sz <<= 1; dat.assign(2 * sz - 1, ID_M); laz.assign(2 * sz - 1, ID_OM); } void eval(int len, int k) { if (laz[k] == ID_OM) return; if (2 * k + 1 < 2 * sz - 1) { laz[2 * k + 1] = h(laz[2 * k + 1], laz[k]); laz[2 * k + 2] = h(laz[2 * k + 2], laz[k]); } dat[k] = g(dat[k], p(laz[k], len)); laz[k] = ID_OM; } M update(int a, int b, OM x, int k, int l, int r) { eval(r - l, k); if (r <= a or b <= l) return dat[k]; if (a <= l and r <= b) { laz[k] = h(laz[k], x); return g(dat[k], p(laz[k], r - l)); } return dat[k] = f(update(a, b, x, 2 * k + 1, l, (l + r) / 2), update(a, b, x, 2 * k + 2, (l + r) / 2, r)); } M update(int a, int b, OM x) { return update(a, b, x, 0, 0, sz); } M query(int a, int b, int k, int l, int r) { eval(r - l, k); if (r <= a or b <= l) return ID_M; if (a <= l and r <= b) return dat[k]; M vl = query(a, b, 2 * k + 1, l, (l + r) / 2); M vr = query(a, b, 2 * k + 2, (l + r) / 2, r); return f(vl, vr); } M query(int a, int b) { return query(a, b, 0, 0, sz); } M operator[](const int &k) { return query(k, k + 1); } void print() { for (int i = 0; i < sz; ++i) cerr << query(i, i + 1) << ' '; cerr << endl; } }; template auto make_segtree(int n, M ID_M, OM ID_OM, F f, G g, H h, P p) { return LazySegmentTree(n, ID_M, ID_OM, f, g, h, p); } template auto make_segtree(vector v, M ID_M, OM ID_OM, F f, G g, H h, P p) { return LazySegmentTree(v, ID_M, ID_OM, f, g, h, p); } #pragma endregion int solve(); signed main() { // int _T; cin >> _T; for (int t = 1; t <= _T; ++t) solve(); } #define double ld struct S { double r, theta; S() {} S(double r, double theta) : r(r), theta(theta) {} bool operator==(const S &s) const { return abs(r - s.r) <= EPS and abs(fmod(abs(theta - s.theta), 2 * PI)) <= EPS; } friend ostream &operator<<(ostream &os, const S &s) { return os << s.r << ' ' << s.theta; } }; int solve() { SS(int, N, Q); auto f = [](S a, S b) -> S { double ax = a.r * cos(a.theta); double ay = a.r * sin(a.theta); double bx = b.r * cos(b.theta); double by = b.r * sin(b.theta); double cx = ax + bx; double cy = ay + by; double r = sqrt(cx * cx + cy * cy); double th = (abs(cx) <= EPS) ? (cy > 0 ? PI / 2 : (3 * PI) / 2) : atan(double(cy) / cx); return S{ r, th }; }; auto g = [&](S a, S b) -> S { return S{ a.r + b.r, static_cast(fmod(a.theta + b.theta, 2 * PI)) }; }; auto p = [](S a, int b) -> S { return a; }; auto seg = make_segtree(vector(N, S{ 1, 0 }), S{ 0, 0 }, S{ 0, 0 }, f, g, g, p); while (Q--) { SS(int, T, I); if (T == 0) { SS(int, X); seg.update(--I, N, S{ 0, static_cast((PI * X) / 180.0) }); } else if (T == 1) { SS(int, X); auto s = seg.query(I - 1, I); seg.update(I - 1, I, S{ X - s.r, 0 }); } else { auto s = seg.query(0, I); print(s.r * cos(s.theta), s.r * sin(s.theta)); } } return 0; }