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极角排序
每次选择一个最外围的没选过的点,选择的时候需要利用极角排序进行选择
#include<cstdio> #include<cstring> #include<vector> #include<cmath> #include<queue> #include<list> #include<algorithm> using namespace std; const double eps=1e-8; struct point { int x,y; double alpha; int len2; int id; } p[100]; int T,n; vector<point>v; vector<int>ans; bool flag[100]; bool cmp(const point &a, const point &b) { if(fabs(a.alpha-b.alpha)<eps) return a.len2<b.len2; return a.alpha<b.alpha; } int len2(point a,point b) { return (a.x-b.x)*(a.x-b.x)+(a.y-b.y)*(a.y-b.y); } double f(point a,point b,point c) //返回点a所对应的角的弧度 { double B2=(double)len2(a,c); double C2=(double)len2(a,b); double A2=(double)len2(b,c); double COSA=(B2+C2-A2)/(2*sqrt(B2)*sqrt(C2)); return 3.1415926-acos(COSA); } int main() { scanf("%d",&T); int Miny=999999; while(T--) { scanf("%d",&n); for(int i=1; i<=n; i++) { scanf("%d%d%d",&p[i].id,&p[i].x,&p[i].y); Miny=min(Miny,p[i].y); } memset(flag,0,sizeof flag); ans.clear(); point pre;pre.x=-100;pre.y=Miny; point now;now.x=0;now.y=Miny; for(int i=1; i<=n; i++) { v.clear(); for(int k=1; k<=n; k++) { if(!flag[p[k].id]) { p[k].alpha=f(now,p[k],pre); p[k].len2=len2(p[k],now); v.push_back(p[k]); } } sort(v.begin(),v.end(),cmp); flag[v[0].id]=1; ans.push_back(v[0].id); pre.x=now.x; pre.y=now.y; now.x=v[0].x; now.y=v[0].y; } printf("%d ",ans.size()); for(int i=0; i<ans.size(); i++) { printf("%d",ans[i]); if(i<ans.size()-1) printf(" "); else printf("\n"); } } return 0; }
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原文地址:http://www.cnblogs.com/zufezzt/p/5154280.html