#define _USE_MATH_DEFINES
#include "bits/stdc++.h"
using namespace std;
#define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i))
#define rep(i,j) FOR(i,0,j)
#define each(x,y) for(auto &(x):(y))
#define mp make_pair
#define MT make_tuple
#define all(x) (x).begin(),(x).end()
#define debug(x) cout<<#x<<": "<<(x)<<endl
#define smax(x,y) (x)=max((x),(y))
#define smin(x,y) (x)=min((x),(y))
#define MEM(x,y) memset((x),(y),sizeof (x))
#define sz(x) (int)(x).size()
#define RT return
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
using vll = vector<ll>;

double heron(double a, double b, double c) {
    double s = (a + b + c) / 2;
    return sqrt(s * (s - a) * (s - b) * (s - c));
}

int N, L0;
vi L;

pair<double, double> radius(int l, int r) {
    double sm = accumulate(L.begin() + l, L.begin() + r, 0.0);
    double ma = *max_element(L.begin() + l, L.begin() + r);
    return mp(sm, max(2 * ma - sm, 0.0));
}

double area(double r1, double r2) {
    if (r1 + r2 <= L0)return 0;
    if (L0 + r2 <= r1)return r2 * r2 * M_PI;
    if (L0 + r1 <= r2)return r1 * r1 * M_PI;
    double S = heron(r1, r2, L0);
    double h = 2 * S / L0;
    double t1 = asin(h / r1);
    double t2 = asin(h / r2);
    double cs1 = r1 * r1 * M_PI * (2*t1 / (2 * M_PI));
    double cs2 = r2 * r2 * M_PI * (2*t2 / (2 * M_PI));
    double tri1 = sqrt(r1*r1 - h * h) * h;
    double tri2 = sqrt(r2*r2 - h * h) * h;
    return cs1 + cs2 - tri1 - tri2;
}

void solve() {
    cin >> N >> L0;
    L.resize(N + 1);
    rep(i, N + 1)cin >> L[i];

    for (int i = 1; i <= N; ++i) {
        double R1, r1, R2, r2;
        tie(R1, r1) = radius(0, i);
        tie(R2, r2) = radius(i, N + 1);
        double ans = area(R1, R2) - area(R1, r2) - area(r1, R2) + area(r1, r2);
        cout << ans << endl;
    }
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout << fixed << setprecision(15);
	solve();
	return 0;
}