int main(int argc, char *argv[]) {
cin.tie(0);
ios::sync_with_stdio(false);
const double pi = 2 * acos(0.0);
while (scanf("%d%d", &N, &C) != EOF) {
REP(i, N) scanf("%d", L+i);
REP(i, C) scanf("%d%d", S+i, A+i);
double prv[10000];
SegmentTree T;
T.init(0,0,N);
for (int i = 1; i < N; ++i) prv[i] = pi;
REP(i, C) {
int s = S[i];
double a = (A[i] / 360.0) * 2 * pi;
T.change(s, a-prv[s], 0, 0, N);
prv[s] = a;
printf("%.2f %.2f\n", T.vx[0], T.vy[0]);
}
puts("");
}
void HLD::change(int pos, int val)
{
pos=(pos-1)*2;
int u=G->u[pos], v=G->v[pos];
if(dept[u]>dept[v]) swap(u,v);
tree.change(1,dfsn[v],val);
}