#include<iomanip>
#include<limits>
#include<thread>
#include<utility>
#include<iostream>
#include<string>
#include<algorithm>
#include<set>
#include<map>
#include<vector>
#include<stack>
#include<queue>
#include<cmath>
#include<numeric>
#include<cassert>
#include<random>
#include<chrono>
#include<unordered_set>
#include<unordered_map>
#include<fstream>
#include<list>
#include<functional>
#include<bitset>
#include<complex>
#include<tuple>
using namespace std;
typedef unsigned long long int ull;
typedef long long int ll;
typedef pair<ll,ll> pll;
typedef long double D;
typedef complex<D> P;
#define F first
#define S second
const ll E=1e18+7;
const ll MOD=1000000007;


template<typename T,typename U>istream & operator >> (istream &i,pair<T,U> &A){i>>A.F>>A.S; return i;}
template<typename T>istream & operator >> (istream &i,vector<T> &A){for(auto &I:A){i>>I;} return i;}
template<typename T,typename U>ostream & operator << (ostream &o,pair<T,U> &A){o<<A.F<<" "<<A.S; return o;}
template<typename T>ostream & operator << (ostream &o,vector<T> &A){ll i=A.size(); for(auto &I:A){o<<I<<(--i?" ":"");} return o;}
template<typename T>vector<T> & cset(vector<T> &A,T e=T()){for(auto &I:A){I=e;} return A;}


namespace Geometry{
    typedef long double D;
    typedef complex<long double> P;
    typedef pair<P,D> C;
    
    const D EPS=1e-9;
    const D PI=asin(1)*2;
    const D INF=1e18;
    
    const static bool comp(const P &p1,const P &p2){
        if(p1.real()==p2.real()){return p1.imag()<p2.imag();}
        return p1.real()<p2.real();
    }
    
    const static bool comp_y(const P &p1,const P &p2){
        if(p1.imag()==p2.imag()){return p1.real()<p2.real();}
        return p1.imag()<p2.imag();
    }
    
    D dot(P p1,P p2){return p1.real()*p2.real()+p1.imag()*p2.imag();}
    
    D cross(P p1,P p2){return p1.real()*p2.imag()-p1.imag()*p2.real();}
    
    P project(P vec,P x){return vec*(x/vec).real();}
    
    P project(P p1,P p2,P x){return p1+project(p2-p1,x-p1);}
    
    P reflect(P vec,P x){return vec*conj(x/vec);}
    
    P reflect(P p1,P p2,P x){return p1+reflect(p2-p1,x-p1);}
    
    bool intersectSL(P p1,P p2,P vec){
        vec/=abs(vec); p1/=vec; p2/=vec;
        return (p1.imag()<EPS && p2.imag()>-EPS) || (p1.imag()>-EPS && p2.imag()<EPS);
    }
    
    bool intersectSL(P p1,P p2,P p3,P p4){return intersectSL(p1-p4,p2-p4,p3-p4);}
    
    bool intersectSS(P p1,P p2,P p3,P p4){
        if(dot(p2-p1,p3-p1)<-EPS && dot(p2-p1,p4-p1)<-EPS){return false;}
        if(dot(p1-p2,p3-p2)<-EPS && dot(p1-p2,p4-p2)<-EPS){return false;}
        return intersectSL(p1,p2,p3,p4) && intersectSL(p3,p4,p1,p2);
    }
    
    D distLP(P vec,P x){return abs((x/vec).imag())*abs(vec);}
    
    D distLP(P p1,P p2,P x){return distLP(p2-p1,x-p1);}
    
    D distSP(P p1,P p2,P x){
        if(dot(p2-p1,x-p1)<-EPS){return abs(x-p1);}
        if(dot(p1-p2,x-p2)<-EPS){return abs(x-p2);}
        return distLP(p1,p2,x);
    }
    
    D distSS(P p1,P p2,P p3,P p4){
        if(intersectSS(p1,p2,p3,p4)){return 0.0;}
        return min({distSP(p1,p2,p3),distSP(p1,p2,p4),
            distSP(p3,p4,p1),distSP(p3,p4,p2)});
    }
    
    P crosspointLL(P p1,P p2,P vec){
        if(abs(cross(p2-p1,vec))<EPS){return vec;}
        return vec*cross(p2-p1,p2)/cross(p2-p1,vec);
    }
    
    P crosspointLL(P p1,P p2,P p3,P p4){
        return p4+crosspointLL(p1-p4,p2-p4,p3-p4);
    }
    
    P crosspointSS(P p1,P p2,P p3,P p4){
        if(distSP(p1,p2,p3)<EPS){return p3;}
        if(distSP(p1,p2,p4)<EPS){return p4;}
        return crosspointLL(p1,p2,p3,p4);
    }
    
    bool intersectShL(P p1,P p2,P vec){
        vec/=abs(vec);
        return intersectSL(p1,p2,vec) &&
        crosspointLL(p1/vec,p2/vec,vec/vec).real()>-EPS;
    }
    
    bool intersectShL(P p1,P p2,P p3,P p4){
        return intersectShL(p1-p3,p2-p3,p4-p3);
    }
    
    //1::in,0::on edge,-1::out
    int contain(const vector<P> &poly,const P &p){
        vector<P> A={{65537,96847},{-24061,6701},{56369,-86509},{-93763,-78049},{56957,10007}};
        int s=A.size();
        vector<bool> cnt(s,false);
        for(int i=0;i<(int)poly.size();i++){
            int k=(i+1)%poly.size();
            if(distSP(poly[i],poly[k],p)<EPS){return 0;}
            for(int j=0;j<s;j++){
                if(intersectShL(poly[i],poly[k],p,p+A[j])){cnt[j]=!cnt[j];}
            }
        }
        int in=0;
        for(int j=0;j<s;j++){if(cnt[j]){in++;}}
        return in>s/2?1:-1;
    }
    
    vector<P> convexcut(const vector<P> &poly,P p1,P p2){
        vector<P> ret;
        for(int i=0;i<(int)poly.size();i++){
            int j=(i+1)%poly.size();
            if(cross(p2-p1,poly[i]-p1)>-EPS){ret.push_back(poly[i]);}
            if(intersectSL(poly[i],poly[j],p1,p2) &&
               distLP(p1,p2,poly[i])>EPS && distLP(p1,p2,poly[j])>EPS){
                ret.push_back(crosspointLL(poly[i],poly[j],p1,p2));
            }
        }
        return ret;
    }
    
    D area(const vector<P> &poly){
        D ans=0;
        for(int i=2;i<(int)poly.size();i++){
            ans+=cross(poly[i-1]-poly[0],poly[i]-poly[0]);
        }
        return abs(ans)/2;
    }
    
    vector<P> convexhull(vector<P> pts){
        vector<P> ret;
        sort(pts.begin(),pts.end(),comp);
        auto fnc=[&](){
            for(auto &I:pts){
                if(!ret.empty() && I==ret.back()){continue;}
                while(ret.size()>=2 && cross(ret.back()-ret[ret.size()-2],I-ret.back())<-EPS){
                    ret.pop_back();
                }
                ret.push_back(I);
            }
        };
        fnc();
        reverse(pts.begin(),pts.end());
        fnc();
        if(ret[0]==ret.back()){ret.pop_back();}
        return ret;
    }
    
    //4::seperate,3::circumscribe,2::intersect,1::inscribe,0::contain,-1::same
    int intersectCC(C c1,C c2){
        D d=abs(c1.F-c2.F),r=c1.S+c2.S,dif=abs(c2.S-c1.S);
        if(d<EPS && dif<EPS){return -1;}
        if(d-r>EPS){return 4;}
        if(d-r>-EPS){return 3;}
        if(d-dif>EPS){return 2;}
        if(d-dif>-EPS){return 1;}
        return 0;
    }
    
    vector<P> crosspointLC(P p1,P p2,C c){
        vector<P> ret;
        P pr=project(p1,p2,c.F);
        D d=distLP(p1,p2,c.F);
        if(d-c.S>EPS){return ret;}
        if(d-c.S>-EPS){ret.push_back(pr); return ret;}
        P vec=p2-p1; vec*=sqrt(c.S*c.S-d*d)/abs(vec);
        ret.push_back(pr-vec);
        ret.push_back(pr+vec);
        return ret;
    }
    
    vector<P> crosspointSC(P p1,P p2,C c){
        vector<P> ret;
        for(auto &I:crosspointLC(p1,p2,c)){
            if(distSP(p1,p2,I)<EPS){ret.push_back(I);}
        }
        return ret;
    }
    
    vector<P> crosspointCC(C c1,C c2){
        vector<P> ret;
        P vec=c2.F-c1.F;
        D base=(c1.S*c1.S+norm(vec)-c2.S*c2.S)/(2*abs(vec));
        D h=sqrt(c1.S*c1.S-base*base);
        vec/=abs(vec);
        ret.push_back(c1.F+vec*P(base,-h));
        ret.push_back(c1.F+vec*P(base,h));
        return ret;
    }
    
    vector<P> tangentCP(C c,P p){
        return crosspointCC(c,C(p,sqrt(norm(c.F-p)-c.S*c.S)));
    }
    
    vector<pair<P,P>> tangentCC(C c1,C c2){
        vector<pair<P,P>> ret;
        P d=c2.F-c1.F;
        for(D i:{-1,1}){
            D r=c1.S+c2.S*i;
            if(intersectCC(c1,c2)>i+1){
                for(P s:{-1i,1i}){
                    P p=r+s*sqrt(norm(d)-norm(r));
                    ret.push_back({c1.F+d*c1.S/norm(d)*p,c2.F-d*i*c2.S/norm(d)*p});
                }
            }
        }
        return ret;
    }
    
    D area(const vector<P> &poly,C c){
        D ret=0;
        for(int i=0;i<(int)poly.size();i++){
            P a=poly[i]-c.F,b=poly[(i+1)%poly.size()]-c.F;
            if(abs(a)<c.S+EPS && abs(b)<c.S+EPS){ret+=cross(a,b);}
            else{
                vector<P> A=crosspointSC(a,b,{0,c.S});
                if(A.empty()){ret+=c.S*c.S*arg(b/a);}
                else{
                    ret+=(abs(a)<c.S?cross(a,A[0]):c.S*c.S*arg(A[0]/a));
                    ret+=(abs(b)<c.S?cross(A.back(),b):c.S*c.S*arg(b/A.back()));
                    ret+=cross(A[0],A.back());
                }
            }
        }
        return abs(ret)/2;
    }
    
    //反時計回り
    D diameter(const vector<P> &poly){
        D ret=0;
        ll l=0,r=0,n=poly.size();
        if(n==2){return abs(poly[0]-poly[1]);}
        for(int i=0;i<n;i++){
            if(comp(poly[l],poly[i])){l=i;}
            if(comp(poly[i],poly[r])){r=i;}
        }
        ll sl=r,sr=l;
        while(sl!=l || sr!=r){
            ret=max(ret,abs(poly[r]-poly[l]));
            if(cross(poly[(l+1)%n]-poly[l],poly[(r+1)%n]-poly[r])<0){(++l)%=n;}
            else{(++r)%=n;}
        }
        return ret;
    }
    
    D closestpair(vector<P> pt){
        sort(pt.begin(),pt.end(),comp);
        D ret=INF;
        int N=pt.size();
        for(int i=1;i<N;i<<=1){
            for(int j=0;i+j<N;j+=i*2){
                int m=i+j;
                vector<P> R;
                D l=-INF,r=INF;
                for(int k=j;k<m;k++){l=max(l,pt[k].real());}
                for(int k=0;m+k<N && k<i;k++){r=min(r,pt[m+k].real());}
                for(int k=0;m+k<N && k<i;k++){
                    if(pt[m+k].real()-l<ret){R.push_back(pt[m+k]);}
                }
                int idx=0;
                for(int k=j;k<m;k++){
                    if(r-pt[k].real()>ret){continue;}
                    int M=R.size();
                    while(idx<M && pt[k].imag()-R[idx].imag()>ret){idx++;}
                    for(int s=idx;s<M && R[s].imag()-pt[k].imag()<ret;s++){
                        ret=min(ret,abs(R[s]-pt[k]));
                    }
                }
                auto ed=(j+i*2<N?pt.begin()+j+2*i:pt.end());
                inplace_merge(pt.begin()+j,pt.begin()+m,ed,comp_y);
            }
        }
        return ret;
    }
    
    P centerofgravity(const vector<P> &pt){
        P ret(0,0);
        D wt=0;
        for(int i=2;i<(int)pt.size();i++){
            D w2=cross(pt[i-1]-pt[0],pt[i]-pt[0]);
            P p=(pt[0]+pt[i-1]+pt[i])/(D)3;
            wt+=w2;
            ret+=p*w2;
        }
        return ret/wt;
    }
    
    istream & operator >> (istream &i,P &p){D x,y; i>>x>>y; p={x,y}; return i;}
    istream & operator >> (istream &i,C &p){D x,y; i>>x>>y>>p.S; p.F={x,y}; return i;}
};

using namespace Geometry;


int main(){
    cout<<fixed<<setprecision(12);
    ll n;
    cin>>n;
    vector<P> A(n);
    for(auto &I:A){cin>>I;}
    ll q;
    cin>>q;
    while(q--){
        P p1,p2;
        cin>>p1>>p2;
        vector<P> B=convexcut(A,p1,p2);
        cout<<fixed<<setprecision(12)<<area(B)<<endl;
    }
    
    return 0;
}



Measured memory_bytes: 3372