/* -*- coding: utf-8 -*- * * 2602.cc: No.2602 Real Collider - yukicoder */ #include #include using namespace std; /* constant */ /* typedef */ template struct Pt { T x, y; Pt() {} Pt(T _x, T _y) : x(_x), y(_y) {} Pt(const Pt &p) : x(p.x), y(p.y) {} Pt operator+(const Pt p) const { return Pt(x + p.x, y + p.y); } Pt operator-() const { return Pt(-x, -y); } Pt operator-(const Pt p) const { return Pt(x - p.x, y - p.y); } Pt operator*(T t) const { return Pt(x * t, y * t); } Pt operator/(T t) const { return Pt(x / t, y / t); } T dot(Pt v) const { return x * v.x + y * v.y; } T cross(Pt v) const { return x * v.y - y * v.x; } Pt mid(const Pt p) { return Pt((x + p.x) / 2, (y + p.y) / 2); } T d2() { return x * x + y * y; } Pt rot90() { return Pt(-y, x); } bool operator==(const Pt pt) const { return x == pt.x && y == pt.y; } bool operator<(const Pt &pt) const { return x < pt.x || (x == pt.x && y < pt.y); } }; typedef Pt pt; struct CL { pt p; double t0, t1; CL() {} CL(const pt& _p, double _t0, double _t1) : p(_p), t0(_t0), t1(_t1) {} }; /* global variables */ pt readpt() { int x, y; scanf("%d%d", &x, &y); return pt(x, y); } /* subroutines */ bool cross_lines(const pt& ap, const pt av, const pt& bp, const pt bv, CL& cl) { double op01 = av.cross(bv); //if (op01 == 0.0) return false; /* need to handle parallel?? */ if (op01 == 0.0) { pt v = bp - ap; if (v.cross(av) != 0.0) return false; pt a1 = ap + av; pt b1 = bp + bv; return ((bp - ap).dot(b1 - ap) <= 0.0 || (bp - a1).dot(b1 - a1) <= 0.0 || (ap - bp).dot(a1 - bp) <= 0.0 || (ap - b1).dot(a1 - b1) <= 0.0); } pt v = bp - ap; double op0 = v.cross(av); double op1 = v.cross(bv); double t0 = op1 / op01; double t1 = op0 / op01; cl.p = bv * t1 + bp; cl.t0 = t0; cl.t1 = t1; return true; //return (0.0 <= cl.t0 && cl.t0 <= 1.0 && 0.0 <= cl.t1 && cl.t1 <= 1.0); } /* main */ int main() { int qn; scanf("%d", &qn); pt pa = readpt(), pb = readpt(), pc = readpt(); pt p0 = (pa + pb) / 2, p1 = (pa + pc) / 2; pt v0 = (pb - pa).rot90(), v1 = (pc - pa).rot90(); CL cl; cross_lines(p0, v0, p1, v1, cl); pt cp = cl.p; double rr = (pa - cp).d2(); while (qn--) { pt pi = readpt(); if ((pi - cp).d2() <= rr) puts("Yes"); else puts("No"); } return 0; }