/* poj 3335 Rotating Scoreboard - 半平面交 点是顺时针给出的 */ #include <stdio.h> #include<math.h> const double eps=1e-8; const int N=103; struct point { double x,y; }dian[N]; inline bool mo_ee(double x,double y) { double ret=x-y; if(ret<0) ret=-ret; if(ret<eps) return 1; return 0; } inline bool mo_gg(double x,double y) { return x > y + eps;} // x > y inline bool mo_ll(double x,double y) { return x < y - eps;} // x < y inline bool mo_ge(double x,double y) { return x > y - eps;} // x >= y inline bool mo_le(double x,double y) { return x < y + eps;} // x <= y inline double mo_xmult(point p2,point p0,point p1)//p1在p2左返回负,在右边返回正 { return (p1.x-p0.x)*(p2.y-p0.y)-(p2.x-p0.x)*(p1.y-p0.y); } //求多边形面积 double mo_area_polygon(point *dian,int n) { int i; point yuan; yuan.x=yuan.y=0; double ret=0; for(i=0;i<n;++i) { ret+=mo_xmult(dian[(i+1)%n],yuan,dian[i]); } return ret; } point mo_intersection(point u1,point u2,point v1,point v2) { point ret=u1; double t=((u1.x-v1.x)*(v1.y-v2.y)-(u1.y-v1.y)*(v1.x-v2.x)) /((u1.x-u2.x)*(v1.y-v2.y)-(u1.y-u2.y)*(v1.x-v2.x)); ret.x+=(u2.x-u1.x)*t; ret.y+=(u2.y-u1.y)*t; return ret; } ///////////////////////// //切割法求半平面交 point mo_banjiao_jiao[N*2]; point mo_banjiao_jiao_temp[N*2]; void mo_banjiao_cut(point *ans,point qian,point hou,int &nofdian) { int i,k; for(i=k=0;i<nofdian;++i) { double a,b; a=mo_xmult(hou,ans[i],qian); b=mo_xmult(hou,ans[(i+1)%nofdian],qian); if(mo_ge(a,0))//顺时针就是<=0 { mo_banjiao_jiao_temp[k++]=ans[i]; }if(mo_ll(a*b,0)) { mo_banjiao_jiao_temp[k++]=mo_intersection(qian,hou,ans[i],ans[(i+1)%nofdian]); } } for(i=0;i<k;++i) { ans[i]=mo_banjiao_jiao_temp[i]; } nofdian=k; } int mo_banjiao(point *dian,int n) { int i,nofdian; double area=mo_area_polygon(dian,n); if(area<0) { point temp; int zhong=n/2-1; for(i=0;i<=zhong;++i) { temp=dian[i]; dian[i]=dian[n-1-i]; dian[n-1-i]=temp; } } nofdian=n; for(i=0;i<n;++i) { mo_banjiao_jiao[i]=dian[i]; } for(i=0;i<n;++i) { mo_banjiao_cut(mo_banjiao_jiao,dian[i],dian[(i+1)%n],nofdian); if(nofdian==0) { return nofdian; } } return nofdian; } ///////////////////////// int main() { int t,i,n; scanf("%d",&t); while(t--) { scanf("%d",&n); for(i=0;i<n;++i) { scanf("%lf%lf",&dian[i].x,&dian[i].y); } int ret=mo_banjiao(dian,n); if(ret==0) { printf("NO\n"); }else { printf("YES\n"); } } return 0; }