public void Solve()
{
if (N == 2)
{
Console.WriteLine("0.5\n0.5");
return;
}
var L = new List <Pair>();
for (int i = 0; i < N; i++)
{
L.Add(new Pair(X[i], Y[i], i));
}
var CH = Geo.GrahamScan(L);
double[] ans = new double[N];
if (CH.Count == 2)
{
foreach (var p in CH)
{
ans[p.Idx] = 0.5;
}
for (int i = 0; i < N; i++)
{
Console.WriteLine(ans[i]);
}
return;
}
int M = CH.Count;
for (int i = 0; i < M; i++)
{
double theta = Pair.ang(CH[(i + 1) % M] - CH[i], CH[(i + M - 1) % M] - CH[i]);
ans[CH[i].Idx] = (Math.PI - theta) / (2 * Math.PI);
}
for (int i = 0; i < N; i++)
{
Console.WriteLine(ans[i]);
}
}