#include <algorithm>#include <cctype>#include <cmath>#include <cstdio>#include <cstdlib>#include <cstring>#include <iomanip>#include <iostream>#include <map>#include <queue>#include <string>#include <set>#include <vector>using namespace std;const int INF = 0x3f3f3f3f;const int MOD = 1e9 + 7;const int N = 1e4 + 10;const double pi = acos(-1.0);int n, q;double vx[N << 2], vy[N << 2], delta[N << 2];double deg[N];#define root 1, n, 1#define lson l, m, rt << 1#define rson m + 1, r, rt << 1 | 1void push_up(int rt){vx[rt] = vx[rt << 1] + vx[rt << 1 | 1];vy[rt] = vy[rt << 1] + vy[rt << 1 | 1];}void rotate(int rt, double del){double rad = del * pi / 180.0;double x = vx[rt] * cos(rad) - vy[rt] * sin(rad);double y = vy[rt] * cos(rad) + vx[rt] * sin(rad);vx[rt] = x; vy[rt] = y;}void push_down(int rt){if(delta[rt]){rotate(rt << 1, delta[rt]);rotate(rt << 1 | 1, delta[rt]);delta[rt << 1] += delta[rt];delta[rt << 1 | 1] += delta[rt];delta[rt] = 0;}}void build(int l, int r, int rt){delta[rt] = 0.0;if(l == r){vx[rt] = 0.0;scanf("%lf", &vy[rt]);return;}int m = l + r >> 1;build(lson);build(rson);push_up(rt);}void update(int o, double del, int l, int r, int rt){if(o < l){delta[rt] += del;rotate(rt, del);return;}push_down(rt);int m = l + r >> 1;if(o < m) update(o, del, lson);update(o, del, rson);push_up(rt);}int main() {ios_base::sync_with_stdio(0);int kase = 0;while(scanf("%d%d", &n, &q) == 2){build(root);if(++kase > 1) puts("");for(int i = 1; i <= n; ++i) deg[i] = 180.0;while(q--){int x; double d; scanf("%d%lf", &x, &d);update(x, d - deg[x], root);deg[x] = d;printf("%.2f %.2fn", vx[1], vy[1]);}}return 0;}
