#include #ifdef _MSC_VER #include #endif namespace atcoder { namespace internal { int ceil_pow2(int n) { int x = 0; while ((1U << x) < (unsigned int)(n)) x++; return x; } int bsf(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } } // namespace internal } // namespace atcoder #include #include namespace atcoder { template struct segtree { public: segtree() : segtree(0) {} segtree(int n) : segtree(std::vector(n, e())) {} segtree(const std::vector& v) : _n(int(v.size())) { log = internal::ceil_pow2(_n); size = 1 << log; d = std::vector(2 * size, e()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); return d[p + size]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); S sml = e(), smr = e(); l += size; r += size; while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } template int max_right(int l) { return max_right(l, [](S x) { return f(x); }); } template int max_right(int l, F f) { assert(0 <= l && l <= _n); assert(f(e())); if (l == _n) return _n; l += size; S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!f(op(sm, d[l]))) { while (l < size) { l = (2 * l); if (f(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) { return min_left(r, [](S x) { return f(x); }); } template int min_left(int r, F f) { assert(0 <= r && r <= _n); assert(f(e())); if (r == 0) return 0; r += size; S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(op(d[r], sm))) { while (r < size) { r = (2 * r + 1); if (f(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector d; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } }; } // namespace atcoder using namespace atcoder; // using mint = modint1000000007; // using mint = modint998244353; #include #define rep(i, n) for (int i = 0; i < (int)n; ++i) #define rrep(i, n) for (int i = (int)n-1; i >= 0; --i) using namespace std; using ll = long long; template inline bool chmax(T& a, const T& b) { if (a < b){ a = b; return true; } return false; } template inline bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } return false; } /** * @brief 多次元 vector の作成 * @author えびちゃん */ namespace detail { template auto make_vec(vector& sizes, T const& x) { if constexpr (N == 1) { return vector(sizes[0], x); } else { int size = sizes[N-1]; sizes.pop_back(); return vector(size, make_vec(sizes, x)); } } } template auto make_vec(int const(&sizes)[N], T const& x = T()) { vector s(N); for (int i = 0; i < N; ++i) s[i] = sizes[N-i-1]; return detail::make_vec(s, x); } __attribute__((constructor)) void fast_io() { ios::sync_with_stdio(false); cin.tie(nullptr); } struct S { complex point; double theta; }; S op(S a, S b) { b.point *= polar(1.0, a.theta); return {a.point + b.point, a.theta + b.theta}; } S e() { return {complex(0, 0), 0}; }; int main() { int n, q; cin >> n >> q; vector ps(n, {complex(1, 0), 0}); segtree seg(ps); while (q--) { int t, i, x; cin >> t; if (t == 0) { cin >> i >> x; --i; S p = seg.get(i); double d = abs(p.point); double theta = x * acos(-1) / 180; p.point = polar(d, theta); p.theta = theta; seg.set(i, p); } else if (t == 1) { cin >> i >> x; --i; S p = seg.get(i); p.point = polar((double)x, p.theta); seg.set(i, p); } else { cin >> i; --i; S p = seg.prod(0, i+1); cout << fixed << setprecision(9) << p.point.real() << ' ' << p.point.imag() << '\n'; } } }