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

long double eps = 1e-12;

long double calc_area(long double l, long double r1, long double r2) {
    if (l + eps > r1 + r2) return 0;
    if (r1 + eps > l + r2) return (long double)M_PI * r2 * r2;
    if (r2 + eps > l + r1) return (long double)M_PI * r1 * r1;
    long double ct1 = (l * l + r1 * r1 - r2 * r2) / (2 * l * r1);
    long double ct2 = (l * l + r2 * r2 - r1 * r1) / (2 * l * r2);
    long double h = r1 * sqrtl(1 - ct1 * ct1);
    return r1 * r1 * acosl(ct1) + r2 * r2 * acosl(ct2) - l * h;
}

long double calc_area(long double l, long double r1s, long double r1l, long double r2s, long double r2l) {
    return calc_area(l, r1l, r2l) - calc_area(l, r1s, r2l) - calc_area(l, r1l, r2s) + calc_area(l, r1s, r2s);
}

int main() {
    int n;
    long long l;
    cin >> n >> l;
    assert(3 <= n && n <= 1000);
    assert(1 <= l && l <= 1000);
    vector<long long> v(n + 1), maxl(n + 2), maxr(n + 2), suml(n + 2), sumr(n + 2);
    for (int i = 0; i <= n; ++i) {
        cin >> v[i];
        assert(1 <= v[i] && v[i] <= 1000);
        maxl[i + 1] = max(maxl[i], v[i]);
        suml[i + 1] = suml[i] + v[i];
    }
    assert(getchar() == '\n');
    assert(getchar() == EOF);
    for (int i = n; i >= 0; --i) {
        maxr[i] = max(maxr[i + 1], v[i]);
        sumr[i] = sumr[i + 1] + v[i];
    }
    cout << setprecision(16);
    for (int i = 1; i <= n; ++i)
        cout << calc_area(l, max(maxl[i] * 2 - suml[i], 0LL), suml[i], max(maxr[i] * 2 - sumr[i], 0LL), sumr[i]) << "\n";

    return 0;
}