// Slower C++ solution:
#include<bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(int)(n);i++)

#define init(a) memset((a),0,sizeof(a))

using namespace std;

typedef double D;

typedef vector<D> P;

const D EPS = 1e-8;



int n,m,R;

P sp[2020],tp[20],ep;

D sr[2020],tb[20],p[20];

vector<int> rm[20];



inline P mul(P p, const D &d){

  rep(i,p.size())p[i] *= d;

  return p;

}



inline P add(P a, const P &b){

  rep(i,a.size())a[i] += b[i];

  return a;

}



inline D dis2(const P &a, const P &b){

  D x = a[0]-b[0], y = a[1]-b[1], z = a[2]-b[2];

  return x*x+y*y+z*z;

}



inline D score(const int &i){

  return tb[i]/dis2(ep,tp[i]);

}



inline int intersect(const int &p, const int &c){

  P l = ep, r = tp[p];

  D r2 = sr[c]*sr[c];

  bool f1 = (dis2(sp[c],l)<r2+EPS), f2 = (dis2(sp[c],r)<r2+EPS);

  if(f1&&f2)return 0;

  if(f1||f2)return 1;



  rep(i,30){

    P m1 = mul(add(mul(l,2),r),1.0/3), m2 = mul(add(l,mul(r,2)),1.0/3);

    D d1 = dis2(sp[c],m1), d2 = dis2(sp[c],m2);

    if(d1<d2)r = m2;

    else l = m1;

  }

  if(dis2(sp[c],l)<r2+EPS)return 1;

  return 0;

}





D rec(int d,int num, D sum, vector<int> &use){

  if(d==m)return sum;

  D res = rec(d+1,num,sum,use);

  vector<int> tmp = use;

  rep(i,rm[d].size()){

    if(!use[rm[d][i]]){

      num++;

      use[rm[d][i]] = 1;

    }

  }

  if(num<=R)res = max(res,rec(d+1,num,sum+p[d],use));

  use = tmp;

  return res;

}

		    

int main(){

  while(scanf("%d%d%d",&n,&m,&R),n){

    rep(i,n){

      sp[i].resize(3);

      rep(j,3)scanf("%lf",&sp[i][j]);

      scanf("%lf",&sr[i]);

    }

    rep(i,m){

      tp[i].resize(3);

      rep(j,3)scanf("%lf",&tp[i][j]);

      scanf("%lf",&tb[i]);

    }

    ep.resize(3);

    rep(i,3)scanf("%lf",&ep[i]);



    rep(i,m){

      rm[i].clear();

      rep(j,n){

	if(intersect(i,j))rm[i].push_back(j);

      }

    }



    rep(i,m)p[i] = score(i);

    vector<int> use(n,0);

    cout << fixed << setprecision(10) << rec(0,0,0,use) << endl;

  }

}

// Faster C++ solution for the same problem (measured speedup: 1.1012315270678583x):
#include<bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(int)(n);i++)

#define init(a) memset((a),0,sizeof(a))

using namespace std;

typedef double D;

typedef vector<D> P;

const D EPS = 1e-8;



int n,m,R;

P sp[2020],tp[20],ep;

D sr[2020],tb[20],p[20];

vector<int> rm[20];



inline P mul(P p, const D &d){

  rep(i,p.size())p[i] *= d;

  return p;

}



inline P add(P a, const P &b){

  rep(i,a.size())a[i] += b[i];

  return a;

}



inline D dis2(const P &a, const P &b){

  D x = a[0]-b[0], y = a[1]-b[1], z = a[2]-b[2];

  return x*x+y*y+z*z;

}



inline D score(const int &i){

  return tb[i]/dis2(ep,tp[i]);

}



inline int intersect(const int &p, const int &c){

  P l = ep, r = tp[p];

  D r2 = sr[c]*sr[c];

  bool f1 = (dis2(sp[c],l)<r2+EPS), f2 = (dis2(sp[c],r)<r2+EPS);

  if(f1&&f2)return 0;

  if(f1||f2)return 1;



  rep(i,20){

    P m1 = mul(add(mul(l,2),r),1.0/3), m2 = mul(add(l,mul(r,2)),1.0/3);

    D d1 = dis2(sp[c],m1), d2 = dis2(sp[c],m2);

    if(d1<d2)r = m2;

    else l = m1;

  }

  if(dis2(sp[c],l)<r2+EPS)return 1;

  return 0;

}





D rec(int d,int num, D sum, vector<int> &use){

  if(d==m)return sum;

  D res = rec(d+1,num,sum,use);

  vector<int> tmp = use;

  rep(i,rm[d].size()){

    if(!use[rm[d][i]]){

      num++;

      use[rm[d][i]] = 1;

    }

  }

  if(num<=R)res = max(res,rec(d+1,num,sum+p[d],use));

  use = tmp;

  return res;

}

		    

int main(){

  while(scanf("%d%d%d",&n,&m,&R),n){

    rep(i,n){

      sp[i].resize(3);

      rep(j,3)scanf("%lf",&sp[i][j]);

      scanf("%lf",&sr[i]);

    }

    rep(i,m){

      tp[i].resize(3);

      rep(j,3)scanf("%lf",&tp[i][j]);

      scanf("%lf",&tb[i]);

    }

    ep.resize(3);

    rep(i,3)scanf("%lf",&ep[i]);



    rep(i,m){

      rm[i].clear();

      rep(j,n){

	if(intersect(i,j))rm[i].push_back(j);

      }

    }



    rep(i,m)p[i] = score(i);

    vector<int> use(n,0);

    cout << fixed << setprecision(10) << rec(0,0,0,use) << endl;

  }

}