#include using namespace std; #include #ifdef _MSC_VER #include #endif namespace atcoder { namespace internal { // @param n `0 <= n` // @return minimum non-negative `x` s.t. `n <= 2**x` int ceil_pow2(int n) { int x = 0; while ((1U << x) < (unsigned int) (n)) { x++; } return x; } // @param n `1 <= n` // @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0` 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; #define int long long #define rep(i, n) for (int i = 0; i < (int) (n); i++) #define reps(i, n) for (int i = 1; i <= (int) (n); i++) #define all(x) (x).begin(), (x).end() #define uniq(x) (x).erase(unique(all(x)), (x).end()) #define bit(n) (1LL << (n)) #define dump(x) cerr << #x " = " << (x) << endl using vint = vector; using vvint = vector; using pint = pair; using vpint = vector; template using priority_queue_rev = priority_queue, greater>; constexpr double PI = 3.1415926535897932384626433832795028; constexpr int DY[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0}; constexpr int DX[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0}; int sign(int x) { return (x > 0) - (x < 0); } int gcd(int a, int b) { while (b) { swap(a %= b, b); } return a; } int lcm(int a, int b) { return a / gcd(a, b) * b; } int cdiv(int a, int b) { return (a - 1 + b) / b; } template void fin(T mes) { cout << mes << endl; exit(0); } template T sq(T x) { return x * x; } template bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const U &b) { if (b < a) { a = b; return true; } return false; } template ostream &operator<<(ostream &os, const pair &rhs) { os << "(" << rhs.first << ", " << rhs.second << ")"; return os; } template ostream &operator<<(ostream &os, const vector &rhs) { os << "{"; for (auto itr = rhs.begin(); itr != rhs.end(); itr++) { os << *itr << (next(itr) != rhs.end() ? ", " : ""); } os << "}"; return os; } template ostream &operator<<(ostream &os, const deque &rhs) { os << "{"; for (auto itr = rhs.begin(); itr != rhs.end(); itr++) { os << *itr << (next(itr) != rhs.end() ? ", " : ""); } os << "}"; return os; } template ostream &operator<<(ostream &os, const set &rhs) { os << "{"; for (auto itr = rhs.begin(); itr != rhs.end(); itr++) { os << *itr << (next(itr) != rhs.end() ? ", " : ""); } os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &rhs) { os << "{"; for (auto itr = rhs.begin(); itr != rhs.end(); itr++) { os << *itr << (next(itr) != rhs.end() ? ", " : ""); } os << "}"; return os; } template ostream &operator<<(ostream &os, const map &rhs) { os << "{"; for (auto itr = rhs.begin(); itr != rhs.end(); itr++) { os << *itr << (next(itr) != rhs.end() ? ", " : ""); } os << "}"; return os; } struct setup { static constexpr int PREC = 20; setup() { cout << fixed << setprecision(PREC); cerr << fixed << setprecision(PREC); }; } setup; using S = tuple; S e() { return {0, 0, 0}; } S op(S a, S b) { auto[ra, ta, fa]=a; auto[rb, tb, fb]=b; tb += fa, fb += fa; return {sqrt(sq(ra * cos(ta) + rb * cos(tb)) + sq(ra * sin(ta) + rb * sin(tb))), atan2(ra * sin(ta) + rb * sin(tb), ra * cos(ta) + rb * cos(tb)), fb}; } signed main() { int N, Q; cin >> N >> Q; vector src(N, {1, 0, 0}); segtree st(src); while (Q--) { int q; cin >> q; if (q == 0) { int i, x; cin >> i >> x, i--; auto[r, t, f]=st.get(i); t = x * PI / 180, f = x * PI / 180; st.set(i, {r, t, f}); } else if (q == 1) { int i, x; cin >> i >> x, i--; auto[r, t, f]=st.get(i); r = x; st.set(i, {r, t, f}); } else if (q == 2) { int i; cin >> i; auto[r, t, f]=st.prod(0, i); cout << r * cos(t) << " " << r * sin(t) << endl; } } }