#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using vec = vector<ll>;
using mat = vector<vec>;
using pll = pair<ll,ll>;
using dvec = vector<double>;
using dmat = vector<dvec>;

#define INF (1LL<<61)
//#define MOD 1000000007LL 
#define MOD 998244353LL

#define PR(x) cout << (x) << endl
#define PS(x) cout << (x) << " "
#define REP(i,m,n) for(ll (i)=(m),(i_len)=(n);(i)<(i_len);++(i))
#define FORE(i,v) for(auto (i):v)
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((ll)(x).size())
#define REV(x) reverse(ALL((x)))
#define ASC(x) sort(ALL((x)))
#define DESC(x) {ASC((x)); REV((x));}
#define BIT(s,i) (((s)>>(i))&1)
#define pb push_back
#define fi first
#define se second

class mint {
public:
    ll x;
    mint(ll x=0) : x((x%MOD+MOD)%MOD) {}
    mint operator-() const {return mint(-x);}
    mint& operator+=(const mint& a) {if((x+=a.x)>=MOD) x-=MOD; return *this;}
    mint& operator-=(const mint& a) {if((x+=MOD-a.x)>=MOD) x-=MOD; return *this;}
    mint& operator*=(const mint& a) {(x*=a.x)%=MOD; return *this;}
    mint operator+(const mint& a) const {mint b(*this); return b+=a;}
    mint operator-(const mint& a) const {mint b(*this); return b-=a;}
    mint operator*(const mint& a) const {mint b(*this); return b*=a;}
    mint pow(ll t) const {if(!t) return 1; mint a=pow(t>>1); return (t&1?*this*a:a)*a;}
    mint inv() const {return pow(MOD-2);}
    mint& operator/=(const mint& a) {return *this*=a.inv();}
    mint operator/(const mint& a) const {mint b(*this); return b/=a;}
};
istream &operator>>(istream& is, mint& a) {ll t; is>>t; a=t; return is;}
ostream &operator<<(ostream& os, const mint& a) {return os<<a.x;}
using mvec = vector<mint>;
using mmat = vector<mvec>;

template<class T> inline int chmin(T& a, T b) {if(a>b) {a=b; return 1;} return 0;}
template<class T> inline int chmax(T& a, T b) {if(a<b) {a=b; return 1;} return 0;}

const double PI = acos(-1);

int main()
{
    ll N;
    cin >> N;
    vec L(N+2);
    REP(i,0,N+2) cin >> L[i];

    auto r = [&](ll a, ll b) -> pll {
        vec V;
        REP(i,a,b+1) V.pb(L[i]);
        ASC(V);
        ll ma = V.back(); V.pop_back();
        ll s = 0;
        FORE(v,V) s += v;
        return {max(ma-s,0LL), s+ma};
    };
    auto s = [&](ll a, ll b) -> double {
        if(a > b) swap(a, b);
        if(a == 0) return 0.0;
        if(a+b <= L[0]) return 0.0;
        if(b-a >= L[0]) return PI*a*a;
        double at = acos((L[0]*L[0]+a*a-b*b)/(2.0*L[0]*a));
        double bt = acos((L[0]*L[0]+b*b-a*a)/(2.0*L[0]*b));
        return a*a*(at-sin(at*2)/2)+b*b*(bt-sin(bt*2)/2);
    };

    REP(i,1,N+1) {
        pll a = r(1, i);
        pll b = r(i+1, N+1);
        cout << setprecision(12) << s(a.fi, b.fi)-s(a.fi, b.se)-s(a.se, b.fi)+s(a.se, b.se) << endl;
    }

    return 0;
}

/*



*/