#include using namespace std; #define REP(i,n) for(ll i=0;i<(ll)n;i++) #define dump(x) cerr << "Line " << __LINE__ << ": " << #x << " = " << (x) << "\n"; #define spa << " " << #define fi first #define se second #define ALL(a) (a).begin(),(a).end() #define ALLR(a) (a).rbegin(),(a).rend() using ld = long double; using ll = long long; using ull = unsigned long long; using pii = pair; using pll = pair; using pdd = pair; template using V = vector; template using P = pair; template vector make_vec(size_t n, T a) { return vector(n, a); } template auto make_vec(size_t n, Ts... ts) { return vector(n, make_vec(ts...)); } template ostream& operator << (ostream& os, const pair v){os << "(" << v.first << ", " << v.second << ")"; return os;} template ostream& operator<<(ostream &os, const vector &v) { for (auto &e : v) os << e << ' '; return os; } template ostream& operator<<(ostream& os, const vector> &v){ for(auto &e : v){os << e << "\n";} return os;} struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; template void UNIQUE(vector &x) {sort(ALL(x));x.erase(unique(ALL(x)), x.end());} template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } void fail() { cout << -1 << '\n'; exit(0); } inline int popcount(const int x) { return __builtin_popcount(x); } inline int popcount(const ll x) { return __builtin_popcountll(x); } template void debug(vector>&v,ll h,ll w){for(ll i=0;i void debug(vector&v,ll n){if(n!=0)cerr< struct LazySegmentTree { // std::function は遅いので使わないことを推奨 //using F = function< Monoid(Monoid, Monoid) >; //using G = function< Monoid(Monoid, OperatorMonoid) >; //using H = function< OperatorMonoid(OperatorMonoid, OperatorMonoid) >; int sz, height; vector< Monoid > data; vector< OperatorMonoid > lazy; const F f; const G g; const H h; const Monoid M1; const OperatorMonoid OM0; // n: サイズ // f: 二つの区間をマージする二項演算 // g: 要素と作用素をマージする二項演算 // h: 作用素同士をマージする二項演算 // M1: モノイドの単位元 // OM0: 作用素の単位元 // 初期化を忘れない!x を初期値とすると // REP(i, n) seg[i].set(x); // seg.build(); // 初期化なしだとM1で初期化される // range sum をするときは,M1は(0, 0)だが初期化は(0, 1)であることに注意! LazySegmentTree(int n, const F f, const G g, const H h, const Monoid &M1, const OperatorMonoid OM0) : f(f), g(g), h(h), M1(M1), OM0(OM0) { sz = 1; height = 0; while(sz < n) sz <<= 1, height++; data.assign(2 * sz, M1); lazy.assign(2 * sz, OM0); } void set(int k, const Monoid &x) { data[k + sz] = x; } void build() { for(int k = sz - 1; k > 0; k--) { data[k] = f(data[2 * k + 0], data[2 * k + 1]); } } inline void propagate(int k) { if(lazy[k] != OM0) { lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]); lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]); data[k] = reflect(k); lazy[k] = OM0; } } inline Monoid reflect(int k) { return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]); } inline void recalc(int k) { while(k >>= 1) data[k] = f(reflect(2 * k + 0), reflect(2 * k + 1)); } inline void thrust(int k) { for(int i = height; i > 0; i--) propagate(k >> i); } void update(int a, int b, const OperatorMonoid &x) { thrust(a += sz); thrust(b += sz - 1); for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if(l & 1) lazy[l] = h(lazy[l], x), ++l; if(r & 1) --r, lazy[r] = h(lazy[r], x); } recalc(a); recalc(b); } Monoid query(int a, int b) { thrust(a += sz); thrust(b += sz - 1); Monoid L = M1, R = M1; for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if(l & 1) L = f(L, reflect(l++)); if(r & 1) R = f(reflect(--r), R); } return f(L, R); } Monoid operator[](const int &k) { return query(k, k + 1); } template< typename C > int find_subtree(int a, const C &check, Monoid &M, bool type) { while(a < sz) { propagate(a); Monoid nxt = type ? f(reflect(2 * a + type), M) : f(M, reflect(2 * a + type)); if(check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template< typename C > int find_first(int a, const C &check) { Monoid L = M1; if(a <= 0) { if(check(f(L, reflect(1)))) return find_subtree(1, check, L, false); return -1; } thrust(a + sz); int b = sz; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) { Monoid nxt = f(L, reflect(a)); if(check(nxt)) return find_subtree(a, check, L, false); L = nxt; ++a; } } return -1; } template< typename C > int find_last(int b, const C &check) { Monoid R = M1; if(b >= sz) { if(check(f(reflect(1), R))) return find_subtree(1, check, R, true); return -1; } thrust(b + sz - 1); int a = sz; for(b += sz; a < b; a >>= 1, b >>= 1) { if(b & 1) { Monoid nxt = f(reflect(--b), R); if(check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } }; using cld = complex; int main(){ ll N, Q; cin >> N >> Q; auto f = [](cld x, cld y){return x+y;}; auto g = [](cld x, cld a){return x*a;}; auto h = [](cld a, cld b){return a*b;}; cld M1 = 0; cld OM0 = 1.0; LazySegmentTree seg(N, f, g, h, M1, OM0); REP(i, N) seg.set(i, 1.0); seg.build(); V theta(N, 0); while(Q--){ ll t; cin >> t; if(t==0){ ll i, x; cin >> i >> x; i--; seg.update(i, N, polar((ld)1.0, (x-theta[i])*PI/180)); theta[i] = x; }else if(t==1){ ll i, x; cin >> i >> x; i--; auto now = seg.query(i, i+1); seg.update(i, i+1, abs(x)/abs(now)); }else{ ll i; cin >> i; cld res = seg.query(0, i); cout << real(res) spa imag(res) << endl; } } return 0; }