题解:每放一根棍子,都判断一下它与它前面的且在顶端的棍子是否相交,相交的话则将相应的棍子从解空间中除去。
#include <cstdio> const double eps=1e-14; const int maxn=1e5+10; struct node{double x1,y1,x2,y2;int w;}e[maxn],f[maxn]; double cross(double x1,double y1,double x2,double y2){return x1*y2-x2*y1;} int find(node a,node b){ double c[4]; c[0]=cross(a.x2-a.x1,a.y2-a.y1,b.x1-a.x1,b.y1-a.y1); c[1]=cross(a.x2-a.x1,a.y2-a.y1,b.x2-a.x1,b.y2-a.y1); c[2]=cross(b.x2-b.x1,b.y2-b.y1,a.x1-b.x1,a.y1-b.y1); c[3]=cross(b.x2-b.x1,b.y2-b.y1,a.x2-b.x1,a.y2-b.y1); if(c[0]*c[1]<=0&&c[2]*c[3]<=0)return 1; return 0; } int main(){ int n; while(scanf("%d",&n)!=EOF){ if(n==0)break; int i,j,k,p,q; for(i=0;i<n;i++){ scanf("%lf%lf%lf%lf",&e[i].x1,&e[i].y1,&e[i].x2,&e[i].y2); e[i].w=i+1; }p=0; for(i=0;i<n;i++){ q=0; for(j=0;j<p;j++) if(!find(e[i],f[j]))f[q++]=f[j]; f[q++]=e[i]; p=q; } printf("Top sticks: %d",f[0].w); for(i=1;i<p;i++)printf(", %d",f[i].w); printf(".\n"); } return 0; }
愿你出走半生,归来仍是少年