#include <cmath>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
const double pi = acos(-1);
pair<int, int> calc(vector<int> v) {
	int sum = 0, mx = 0;
	for (int i = 0; i < v.size(); ++i) {
		sum += v[i];
		mx = max(mx, v[i]);
	}
	int L = 0, R = sum;
	if (mx * 2 > sum) L = mx * 2 - sum;
	return make_pair(L, R);
}
double area(double a, double b, double c) {
	if (a + b <= c) return 0;
	if (a < b) swap(a, b);
	if (a > b + c) return b * b * pi;
	double l = 0, r = min(a, b);
	for (int i = 0; i < 60; ++i) {
		double m = (l + r) * 0.5;
		double x = sqrt(a * a - m * m) + sqrt(b * b - m *m);
		if (x >= c) l = m;
		else r = m;
	}
	double rad1 = asin(l / a);
	double rad2 = asin(l / b);
	double circle1 = rad1 * a * a;
	double circle2 = rad2 * b * b;
	double ans = circle1 + circle2 - c * l;
	return ans;
}
int main() {
	int N;
	cin >> N;
	vector<int> A(N + 2);
	int sum = 0, mx = 0;
	for (int i = 0; i < N + 2; ++i) {
		cin >> A[i];
	}
	cout.precision(15);
	pair<int, int> resbase = calc(A);
	if (resbase.first > 0) {
		for (int i = 0; i < N; ++i) {
			cout << 0 << '\n';
		}
	}
	else {
		for (int i = 1; i <= N; ++i) {
			vector<int> vl, vr;
			for (int j = 1; j <= i; ++j) {
				vl.push_back(A[j]);
			}
			for (int j = i + 1; j <= N + 1; ++j) {
				vr.push_back(A[j]);
			}
			pair<int, int> wl = calc(vl);
			pair<int, int> wr = calc(vr);
			double ans = 0;
			ans += area(wl.second, wr.second, A[0]);
			ans += area(wl.first, wr.first, A[0]);
			ans -= area(wl.second, wr.first, A[0]);
			ans -= area(wl.first, wr.second, A[0]);
			cout << ans << '\n';
		}
	}
	return 0;
}