#include<stdio.h>#include<algorithm>#include<time.h>#include<vector>#include<string.h>#include<stdlib.h>#include<math.h>using namespace std;const int MAX=11000;const double EPS=1.0e-8;const double INF=1000000000.0;bool dig(char x){return x>='0'&&x<='9';}int getval(){ int ret=0,sign=1; char c; while(!dig(c=getchar())&&c!='-'); if(c=='-')sign=-1; else ret=c-'0'; while(dig(c=getchar()))ret=ret*10+c-'0'; return ret*sign;}struct Point{ double x,y,z;}p[MAX];double r2[MAX];double Getr(double h,int n){ int i; double ret=0,tmp; for(i=0;i<n;i++) { tmp=r2[i]*h*h/((h-p[i].z)*(h-p[i].z)); if(tmp>ret)ret=tmp; } return ret;}int dblcmp(double x){ if(fabs(x)<EPS)return 0; return x<0?-1:1;}int main(){ int n=0; int i,j,k; while(scanf("%d",&n)!=EOF) { double low=0,high=INF; for(i=0;i<n;i++) { scanf("%lf%lf%lf",&p[i].x,&p[i].y,&p[i].z); r2[i]=p[i].x*p[i].x+p[i].y*p[i].y; if(p[i].z>low)low=p[i].z; } double ah=-1,ar=-1; double mid,tr,ttr,mmid; int T=100; while(T--&&dblcmp(low-high)!=0) { mid=(high+low)/2; tr=Getr(mid,n); mmid=(mid+high)/2; ttr=Getr(mmid,n); if(tr*mid<ttr*mmid) { ah=mid; ar=tr; high=mmid; } else { ah=mmid; ar=ttr; low=mid; } } printf("%.3f %.3fn",ah,sqrt(ar)); } return 0;}
