#include <bits/stdc++.h>
#include <cmath>
using namespace std;

double PI = acos(0) * 2.0;

void fill_max_min(const vector<int> &Ls, int N, vector<int> &max0, vector<int> &min0){
    max0[0] = Ls[0];
    min0[0] = Ls[0];
    int largest = Ls[0];
    for (int i = 1; i <= N; ++i){
        largest = max(largest, Ls[i]);
        max0[i] = max0[i - 1] + Ls[i];
        min0[i] = max(2 * largest - max0[i], 0);
    }
}

double area(int C, int A, int B){
    if (C >= A + B) return 0.0;
    if (A >= C + B) return PI * B * B;
    if (B >= C + A) return PI * A * A;
    double a = A;
    double b = B;
    double c = C;
    double theta = acos((b * b + c * c - a * a)/(2 * b * c));
    double phi = acos((a * a + c * c - b * b)/(2 * a * c));
    return  b * b * (theta - sin(2 * theta)/2.0) + a * a * (phi - sin(2 * phi)/2.0);
}

double calc_area(int f, int a, int b, int c, int d){
    // x, y
    // a^2 < x^2 + y^2 < b^2
    // c^2 < (x-f)^2 + y^2 < d^2
    // B and D - (A and D) - (C and B) + (A and C)
    return area(f, b, d) - area(f, a, d) - area(f, b, c) + area(f, a, c);
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N, L0;
    cin >> N >> L0;
    vector<int> Ls(N + 1, 0);
    for (auto & L : Ls) cin >> L;
    vector<double> result(N, 0);
    vector<int> max0(N + 1, 0);
    vector<int> max1(N + 1, 0);
    vector<int> min0(N + 1, 0);
    vector<int> min1(N + 1, 0);
    fill_max_min(Ls, N, max0, min0);
    reverse(Ls.begin(), Ls.end());
    fill_max_min(Ls, N, max1, min1);
    reverse(max1.begin(), max1.end());
    reverse(min1.begin(), min1.end());
    for (int i = 1; i < N; ++i){
        result[i] = calc_area(L0, min0[i], max0[i], min1[i+1], max1[i+1]);
    }
    cout.precision(6);
    cout << fixed;
    for (auto a : result) cout << a << '\n';
    return 0;
}