The 36th ACM/ICPC Asia Regional Chengdu Site 1003 Regular Polygon
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比赛时悲剧的没做出来,赛后终于解决了,革命尚未成功,同志仍需努力呀!
#include <iostream>#include <math.h>#include <stdio.h>using namespace std;const int N=102;double pi=acos(-1);const double eps=1e-8;double dis[N];int n;double solve (double l,double r){ if(fabs(l-r)<eps)return -1; double mid=(l+r)/2; int i; double ang=0; for(i=0;i<n;i++) { if(mid-(dis[i]+dis[i+1])>eps)return solve(l,mid);//边太大,构不成三角形 if(mid-fabs(dis[i]-dis[i+1])<eps)return solve(mid,r);//边太小,构不成三角形 double cs=(dis[i]*dis[i]+dis[i+1]*dis[i+1]-mid*mid)/(2*dis[i]*dis[i+1]); ang+=acos(cs); } if(fabs(ang-2*pi)<eps)return mid;//等于360度 else if(ang-2*pi>eps)return solve(l,mid);//大于360度,说明mid太大 else return solve(mid,r);//小于360度说明mid太小 return -1;}int main(){ int t; cin>>t; int ca=1; while(t--) { cin>>n; int i; for(i=0;i<n;i++) { scanf("%lf",&dis[i]); } dis[n]=dis[0]; double ans=solve (0,20000); if(ans==-1)printf("Case %d: impossible\n",ca); else printf("Case %d: %.3lf\n",ca,ans); ca++; } return 0;}/*233.0 4.0 5.031.0 2.0 3.0*/
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