import java.util.*;
import java.io.*;
import java.math.*;

class Main{
    public static void main(String[] args){
	new Main().run();
    }


    void run(){
	Scanner sc=new Scanner();
	int N=sc.nextInt();
	double[] L=new double[N+2];
	for(int i=0;i<=N+1;++i){
	    L[i]=sc.nextInt();
	}
	double[] Ri1=new double[N+2];
	double[] Ro1=new double[N+2];
	double[] Ri2=new double[N+2];
	double[] Ro2=new double[N+2];
	for(int i=1;i<=N;++i){
	    Ro1[i]=Ro1[i-1]+L[i];
	}
	Ri1[1]=Ro1[1];
	for(int i=2;i<=N;++i){
	    Ri1[i]=abs(Ri1[i-1],Ro1[i-1],L[i]);
	}
	for(int i=N;i>=1;--i){
	    Ro2[i]=Ro2[i+1]+L[i+1];
	}
	Ri2[N]=Ro2[N];
	for(int i=N-1;i>=1;--i){
	    Ri2[i]=abs(Ri2[i+1],Ro2[i+1],L[i+1]);
	}
	for(int i=1;i<=N;++i){
	    System.out.println(String.format("%.20f",solve(Ro1[i],Ri1[i],Ro2[i],Ri2[i],L[0])));
	}
    }

    double solve(double Ro1,double Ri1,double Ro2,double Ri2,double L){
	return f(Ro1,Ro2,L)-f(Ro1,Ri2,L)-f(Ri1,Ro2,L)+f(Ri1,Ri2,L);	
    }

    double abs(double a,double b,double d){
	if(a<=d&&d<=b)return 0;
	return Math.min(Math.abs(d-a),Math.abs(d-b));
    }

    double f(double a,double b,double L){
	if(L>=a+b)return 0;
	if(b>=a+L)return a*a*Math.PI;
	if(a>=b+L)return b*b*Math.PI;
	double x=0.5*L+(a*a-b*b)/(2*L);
	double y=Math.sqrt(a*a-x*x);
	double ang1=Math.atan2(y,x);
	double ang2=Math.atan2(y,L-x);
	if(ang1<0)ang1+=Math.PI;
	if(ang2<0)ang2+=Math.PI;
	return g(2*ang1,a)+g(2*ang2,b);
    }
    
    double g(double ang,double r){
	return 0.5*r*r*(ang - Math.sin(ang));
    }

    void tr(Object...o){
	System.out.println(Arrays.deepToString(o));
    }

}


class Scanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
    public boolean hasNext() { skipUnprintable(); return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }

    public int nextInt(){
	return (int)nextLong();
    }
}