#include using namespace std; using lint = long long; #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i istream &operator>>(istream &is, vector &vec) { for (auto &v : vec) is >> v; return is; } template ostream &operator<<(ostream &os, const vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } #ifdef HITONANODE_LOCAL #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl #else #define dbg(x) #endif // Nonrecursive Segment Tree (point-update, range-get) // - Conditions for operations: // - merge_data: [TDATA, TDATA] -> TDATA, e(x, y) == e(y, x) // - data2ret: [TDATA, TQUERY] -> TRET // - merge_ret: [TRET, TRET] -> TRET, g(defaultRET, x) == x, g(x, y) = g(y, x) // - commutability f(e(x, y), q) == g(f(x, q), f(y, q)) template struct NonrecursiveSegmentTree { int N; TRET defaultRET; virtual TDATA merge_data(const TDATA &, const TDATA &) = 0; virtual TRET data2ret(const TDATA &) = 0; virtual TRET merge_ret(const TRET &, const TRET &) = 0; std::vector data; inline TDATA& at(int i) { return data[i]; } inline void _merge(int i) { at(i) = merge_data(at(i << 1), at((i << 1) + 1)); } void initialize(const std::vector &seq, TRET RET_ZERO) { N = seq.size(); defaultRET = RET_ZERO; data = seq; data.insert(data.end(), seq.begin(), seq.end()); for (int i = N - 1; i; i--) _merge(i); } NonrecursiveSegmentTree() = default; void update(int pos, const TDATA &x) { assert(pos >= 0 and pos < N); at(pos + N) = x; for (int i = pos + N; i > 1;) i >>= 1, _merge(i); } // [l, r), 0-indexed TRET get(int l, int r) { assert(l >= 0 and r <= N); TRET retl = defaultRET, retr = defaultRET; l += N, r += N; while (l < r) { if (l & 1) retl = merge_ret(retl, data2ret(data[l++])); if (r & 1) retr = merge_ret(data2ret(data[--r]), retr); l >>= 1, r >>= 1; } return merge_ret(retl, retr); } }; #include // using Float = boost::multiprecision::number>; using Float = boost::multiprecision::cpp_dec_float_50; struct T { int deg_out; Float dx, dy; }; vector cosines, sines; const Float to_rad = acos(Float(-1.0)) / 180; struct SegmentTree : public NonrecursiveSegmentTree> { using SegTree = NonrecursiveSegmentTree>; T merge_data(const T &vl, const T &vr) override { int d = vl.deg_out; Float dx = vl.dx + cosines[d] * vr.dx - sines[d] * vr.dy; Float dy = vl.dy + sines[d] * vr.dx + cosines[d] * vr.dy; return T{(vl.deg_out + vr.deg_out) % 360, dx, dy}; }; T data2ret(const T &v) override { return v; } T merge_ret(const T &vl, const T &vr) override { return merge_data(vl, vr); }; SegmentTree(const std::vector &seq, T defaultmin) : SegTree::NonrecursiveSegmentTree() { SegTree::initialize(seq, defaultmin); }; }; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(9); cosines.resize(360), sines.resize(360); REP(d, 360) { cosines[d] = cos(Float(d) * to_rad); sines[d] = sin(Float(d) * to_rad); } int N, Q; cin >> N >> Q; vector vec(N + 1); vector deg_now(N + 1, 0); FOR(i, 1, N + 1) vec[i].dx = 1; SegmentTree tree(vec, vec[0]); while (Q--) { int q, i, x; cin >> q >> i; if (q == 0) { cin >> x; i--; deg_now[i] = x; vec[i].deg_out = deg_now[i]; tree.update(i, vec[i]); } if (q == 1) { cin >> x; vec[i].dx = x; tree.update(i, vec[i]); } if (q == 2) { auto ret = tree.get(0, i + 1); cout << ret.dx << ' ' << ret.dy << '\n'; } } }