#include #include #include #include #include #include template struct SegmentTree { using Merger = std::function; int length; std::vector dat; T unit; Merger merge; SegmentTree() = default; SegmentTree(int n, const T& unit, const Merger& merge) : length(1), unit(unit), merge(merge) { while (length < n) length <<= 1; dat.assign(length * 2, unit); } template SegmentTree(const Container& elems, const T& unit, const Merger& merge) : length(1), unit(unit), merge(merge) { int n = elems.size(); while (length < n) length <<= 1; dat.assign(length * 2, unit); std::copy(elems.begin(), elems.end(), dat.begin() + length); for (int nidx = length - 1; nidx >= 1; --nidx) { T vl = dat[nidx * 2 + 0]; T vr = dat[nidx * 2 + 1]; dat[nidx] = merge(vl, vr); } } void update(int nidx, const T& elem) { nidx += length; dat[nidx] = elem; while (nidx > 0) { nidx >>= 1; T vl = dat[nidx * 2 + 0]; T vr = dat[nidx * 2 + 1]; dat[nidx] = merge(vl, vr); } } T fold(int ql, int qr) const { ql = std::max(ql, 0); qr = std::min(qr, length); ql += length, qr += length; T lacc = unit, racc = unit; while (ql < qr) { if (ql & 1) { lacc = merge(lacc, dat[ql]); ++ql; } if (qr & 1) { --qr; racc = merge(dat[qr], racc); } ql >>= 1, qr >>= 1; } return merge(lacc, racc); } T get(int idx) const { return dat[idx + length]; } T fold_all() const { return dat[1]; } }; using ldouble = long double; const ldouble PI = std::acos(-1.L); void solve() { int n; std::cin >> n; SegmentTree> seg(n, std::make_tuple(0, 0, 0), [](auto a, auto b) { auto [al, at, ap] = a; auto [bl, bt, bp] = b; auto x = al * std::cos(at + ap) + bl * std::cos(ap + bt + bp), y = al * std::sin(at + ap) + bl * std::sin(ap + bt + bp); return std::make_tuple(std::hypot(x, y), std::atan2(y, x) - (ap + bp), ap + bp); }); for (int i = 0; i < n; ++i) seg.update(i, std::make_tuple(1, 0, 0)); int q; std::cin >> q; while (q--) { int c; std::cin >> c; switch (c) { case 0: { int i; ldouble p; std::cin >> i >> p; --i; p *= PI / 180; auto [sl, st, sp] = seg.get(i); seg.update(i, std::make_tuple(sl, st, p)); break; } case 1: { int i; ldouble l; std::cin >> i >> l; --i; auto [sl, st, sp] = seg.get(i); seg.update(i, std::make_tuple(l, st, sp)); break; } case 2: { int i; std::cin >> i; auto [l, t, p] = seg.fold(0, i); std::cout << l * std::cos(t + p) << " " << l * std::sin(t + p) << "\n"; break; } } } } int main() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(10); std::cerr << std::fixed << std::setprecision(10); solve(); return 0; }