#include <stdio.h>
#include <math.h>

int n;
double L[1002];

double f(double d, double r1, double r2) {
    if (r1 < 1e-8 || r2 < 1e-8 || r1 + r2 < d + 1e-8) return 0;
    if (d + r2 < r1 + 1e-8) return r2*r2*acos(-1);
    if (d + r1 < r2 + 1e-8) return r1*r1*acos(-1);
    double A = acos((r1*r1+d*d-r2*r2)/(2*r1*d));
    double B = acos((r2*r2+d*d-r1*r1)/(2*r2*d));
    return r1*r1*A-r1*r1*cos(A)*sin(A) + r2*r2*B-r2*r2*cos(B)*sin(B);
}

int main() {
    int n;
    scanf("%d", &n);
    for (int i = 0; i <= n + 1; i++) {
        scanf("%lf", L + i);
    }
    for (int i = 1; i <= n; i++) {
        double mxL = 0;
        double smL = 0;
        double mxR = 0;
        double smR = 0;
        for (int j = 1; j <= i; j++) {
            mxL = fmax(mxL, L[j]);
            smL += L[j];
        }
        for (int j = i + 1; j <= n + 1; j++) {
            mxR = fmax(mxR, L[j]);
            smR += L[j];
        }
        double mnL = fmax(0.0, 2*mxL - smL);
        double mnR = fmax(0.0, 2*mxR - smR);
        double ans = 0;
        ans += f(L[0], smL, smR);
        ans -= f(L[0], smL, mnR);
        ans -= f(L[0], mnL, smR);
        ans += f(L[0], mnL, mnR);
        printf("%.15f\n", ans);
    }
}