http://poj.org/problem?id=2031

 #include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
const int inf=<<;
#define maxn 110
using namespace std; struct point
{
double x,y,z;
double r;
}p[];
int n;
double g[maxn][maxn];
bool vis[maxn];
double dist[maxn],ans; double sqr(double a)
{
return a*a;
} inline double Sqrt(double a)
{
return a<=?:sqrt(a);
} double dis(point a,point b)
{
return (Sqrt(sqr(a.x-b.x)+sqr(a.y-b.y)+sqr(a.z-b.z))-a.r-b.r);
} bool prim()
{
memset(vis,false,sizeof(vis));
for(int i=; i<n; i++)
dist[i]=inf;
ans=;dist[]=;
for(int i=; i<=n; i++)
{
double temp=inf;
int k=;
for(int j=; j<n; j++)
{
if(!vis[j]&&dist[j]<temp)
{
temp=dist[j];
k=j;
}
}
if(temp==inf) return false;
vis[k]=true;
ans+=temp;
for(int j=; j<n; j++)
{
if(!vis[j]&&dist[j]>g[k][j])
dist[j]=g[k][j];
}
}
return false;
} int main()
{
while(scanf("%d",&n)&&n){
memset(g,inf,sizeof(g));
for(int i=; i<n; i++)
{
scanf("%lf%lf%lf%lf",&p[i].x,&p[i].y,&p[i].z,&p[i].r);
}
for(int i=; i<n; i++)
{
for(int j=; j<n; j++)
{
if(dis(p[i],p[j])<=)
{
g[i][j]=;
}
else g[i][j]=dis(p[i],p[j]);
}
}
prim();
printf("%.3lf\n",ans);
}
return ;
}

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