BZOJ 1336&1337最小圆覆盖

来源:互联网 发布:知乎图片大小 编辑:程序博客网 时间:2024/05/17 01:51

思路:
http://blog.csdn.net/commonc/article/details/52291822
(照着算法步骤写……)
已知三点共圆 求圆心的时候 就设一下圆心坐标(x,y) 解个方程就好了

//By SiriusRen#include <cmath>#include <cstdio>#include <algorithm>using namespace std;int n;double R,tempx,tempy,tempz,tmpx,tmpy,tmpz;struct Point{double x,y;}point[100050],Ans;double Sqr(double x){return x*x;}double dis(Point a,Point b){return sqrt(Sqr(a.x-b.x)+Sqr(a.y-b.y));}bool in_circle(Point x){return dis(Ans,x)<=R;}int main(){    scanf("%d",&n);    for(int i=1;i<=n;i++)scanf("%lf%lf",&point[i].x,&point[i].y);    random_shuffle(point+1,point+n);    for(int i=1;i<=n;i++)if(!in_circle(point[i])){        Ans.x=point[i].x,Ans.y=point[i].y,R=0;        for(int j=1;j<i;j++)if(!in_circle(point[j])){            Ans.x=(point[i].x+point[j].x)/2;            Ans.y=(point[i].y+point[j].y)/2;            R=dis(Ans,point[j]);            for(int k=1;k<j;k++)if(!in_circle(point[k])){                tempz=point[j].x-point[i].x;                tempx=2*(point[i].y-point[j].y)/tempz;                tempy=(Sqr(point[j].x)+Sqr(point[j].y)-Sqr(point[i].x)-Sqr(point[i].y))/tempz;                tmpz=point[k].x-point[j].x;                tmpx=2*(point[j].y-point[k].y)/tmpz;                tmpy=(Sqr(point[k].x)+Sqr(point[k].y)-Sqr(point[j].x)-Sqr(point[j].y))/tmpz;                Ans.y=(tmpy-tempy)/(tempx-tmpx);                Ans.x=(tempx*Ans.y+tempy)/2;                R=dis(Ans,point[j]);            }        }    }    printf("%f\n%f %f\n",R,Ans.x,Ans.y);}

这里写图片描述

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