#include using namespace atcoder; #include using namespace internal; #include using namespace std; #include #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep2(i,a,b) for (int i = (int)(a); i < (int)(b); i++) #define all(v) v.begin(),v.end() #define inc(x,l,r) ((l)<=(x)&&(x)<(r)) #define Unique(x) sort(all(x)), x.erase(unique(all(x)), x.end()) #define pcnt __builtin_popcountll #define pb push_back typedef long long ll; #define int ll using ld = long double; using vi = vector; using vs = vector; using P = pair; using vp = vector

; using ull = unsigned long long; using Bint = boost::multiprecision::cpp_int; template bool chmax(T1 &a, const T2 b) {if (a < b) {a = b; return true;} else return false; } template bool chmin(T1 &a, const T2 b) {if (a > b) {a = b; return true;} else return false; } template using priority_queue_greater = priority_queue, greater>; template ostream &operator<< (ostream &os, const pair &p){os << p.first <<" "<> (istream &is, modint1000000007 &m){ll in;is>>in;m=in;return is;} ostream &operator<< (ostream &os, const modint998244353 &m){os << m.val();return os;} istream &operator>> (istream &is, modint998244353 &m){ll in;is>>in;m=in;return is;} template istream &operator>>(istream& is,vector &v){for(T &in:v)is>>in;return is;} template void input(T&... a){(cin>> ... >> a);} #ifdef LOCAL template ostream &operator<<(ostream &os,const vector &v){os<<"\x1b[32m";rep(i,v.size())os< int print(T& a){cout << "\x1b[32m"<< a<< '\n' << "\x1b[0m";return 0;} template int print(const T&a, const Ts&... b){cout << "\x1b[32m" << a;(cout<<...<<(cout<<' ',b));cout<<'\n' << "\x1b[0m";return 0;} #else template ostream &operator<<(ostream &os,const vector &v){rep(i,v.size())os< int print(T& a){cout << a<< '\n';return 0;} template int print(const T&a, const Ts&... b){cout << a;(cout<<...<<(cout<<' ',b));cout<<'\n';return 0;} #endif #define VI(v,n) vi v(n); input(v) #define INT(...) int __VA_ARGS__; input(__VA_ARGS__) #define STR(...) string __VA_ARGS__; input(__VA_ARGS__) #define CHAR(...) char __VA_ARGS__; input(__VA_ARGS__) int sign(ll x){return x>0?1:x<0?-1:0;} ll ceil(ll x,ll y){assert(y!=0);if(sign(x)==sign(y))return (x+y-1)/y;return -((-x/y));} ll floor(ll x,ll y){assert(y!=0);if(sign(x)==sign(y))return x/y;if(y<0)x*=-1,y*=-1;return x/y-(x%y<0);} ll abs(ll x,ll y){return abs(x-y);} ll bit(int n){return 1ll< bool ins(string s,T t){return s.find(t)!=string::npos;} P operator+ (const P &p, const P &q){ return P{p.first+q.first,p.second+q.second};} P operator- (const P &p, const P &q){ return P{p.first-q.first,p.second-q.second};} int yesno(bool ok,string y="Yes",string n="No"){ cout<<(ok?y:n)<; ostream &operator<< (ostream &os, const Point &p){os << p.real() <<" "<> (istream &is, Point &p){D x,y;cin>>x>>y;p=Point(x,y);return is;} const D EPS = 1e-15; const D PI = acosl(-1); inline bool equal(const D &a, const D &b){return fabs(a-b)EPS?1:0));} D dot(const Point &a,const Point &b){return a.real()*b.real() + a.imag()*b.imag();} D cross(const Point &a,const Point &b){return a.real()*b.imag() - a.imag()*b.real();} int ccw(const Point &a,Point b,Point c){ b -= a; c -= a; if(!equal(sgn(cross(b,c)),0))return sgn(cross(b,c)); if(sgn(dot(b,c))==-1)return 2; if(norm(b) ps){ auto c3 = [](const Point &a, const Point &b, const Point &c){ ld A = norm(b - c); ld B = norm(c - a); ld C = norm(a - b); ld S = abs(cross(b - a, c - a)); Point p = (A*(B+C-A)*a + B*(C+A-B)*b + C*(A+B-C)*c) / (4*S*S); ld r = abs(p - a); return Circle(p,r); }; auto c2 = [](const Point &a, const Point &b){ Point c = (a + b) / (ld)2; ld r = abs(a - c); return Circle(c,r); }; auto in_circle = [](const Point &a, const Circle &c){ return norm(a - c.p) <= c.r*c.r + EPS; }; int n = ps.size(); std::random_device seed_gen; std::mt19937 engine(seed_gen()); shuffle(ps.begin(), ps.end(),engine); Circle c = c2(ps[0], ps[1]); for(int i = 2; i < n; ++i){ if(!in_circle(ps[i], c)){ c = c2(ps[0], ps[i]); for(int j = 1; j < i; ++j){ if(!in_circle(ps[j], c)){ c = c2(ps[j], ps[i]); for(int k = 0; k < j; ++k){ if(!in_circle(ps[k], c)){ c = c3(ps[i], ps[j], ps[k]); } } } } } } return c; } #pragma endregion //geometry signed main() { INT(q); vector p(3); rep(i,3){ INT(x,y); p[i] = Point(x,y); } auto c = min_circle(p); while(q--){ INT(x,y); yesno(isInCircle(c,Point(x,y))); } return 0; }