#include <iostream>
#include <cstdio>
#include <vector>
#include <list>
#include <complex>
#include <algorithm>
#include <set>
#include <map>
#include <queue>
#include <string>
#include <cstring>
#include <stack>
#include <cmath>
#include <iomanip>
#include <sstream>
#include <cassert>
#include <numeric>
using namespace std;
typedef long long ll;
typedef ll li;
typedef pair<int,int> PI;
#define EPS (1e-6)
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define REP(i, n) rep (i, n)
#define F first
#define S second
#define mp(a,b) make_pair(a,b)
#define pb(a) push_back(a)
#define min3(a,b,c) min((a),min((b),(c)))
#define min4(a,b,c,d) min((a),min3((b),(c),(d)))
#define SZ(a) (int)((a).size())
#define ALL(a) a.begin(),a.end()
#define FLL(a,b) memset((a),b,sizeof(a))
#define CLR(a) memset((a),0,sizeof(a))
#define FOR(it,a) for(__typeof(a.begin())it=a.begin();it!=a.end();++it)
template<typename T,typename U> ostream& operator<< (ostream& out, const pair<T,U>& val){return out << "(" << val.F << ", " << val.S << ")";}
template<class T> ostream& operator<< (ostream& out, const vector<T>& val){out << "{";rep(i,SZ(val)) out << (i?", ":"") << val[i];return out << "}";}
typedef double FP;
typedef complex<FP> pt;
typedef pt P;
typedef pair<pt,pt> line;
FP dot(P a,P b){return real(conj(a)*b);}
FP crs(P a,P b){return imag(conj(a)*b);}
P ortho(P a){return P(imag(a),-real(a));}
P ortho(line a){return ortho(a.S-a.F);}
P crspt(P a,P b,P c,P d){b-=a,d-=c;return a+b*crs(d,c-a)/crs(d,b);}
P crspt(line a,line b){return crspt(a.F,a.S,b.F,b.S);}
bool onl(P a1,P a2,P b){return abs(b-a1)+abs(b-a2)<abs(a1-a2)+EPS;}
bool onl(line a,P b){return onl(a.F,a.S,b);}
bool iscrs(line a,line b){P c=crspt(a,b);return onl(a,c)&&onl(b,c);}
void pkuassert(bool t){t=1/t;};
int dx[]={0,1,0,-1,1,1,-1,-1};
int dy[]={1,0,-1,0,-1,1,1,-1};
enum{TOP,BTM,LFT,RGT,FRT,BCK};
int dxdy2ce[]={RGT,FRT,LFT,BCK};
template<class T> T shift(T a,int b,int c,int d,int e){
  __typeof(a[0])t=a[b];
  a[b]=a[c];a[c]=a[d];a[d]=a[e];a[e]=t;return a;}
template<class T> T rgt(T a){return shift(a,TOP,LFT,BTM,RGT);}
template<class T> T lft(T a){return shift(a,TOP,RGT,BTM,LFT);}
template<class T> T frt(T a){return shift(a,TOP,BCK,BTM,FRT);}
template<class T> T bck(T a){return shift(a,TOP,FRT,BTM,BCK);}
line mkl(P a,P v){return line(a,a+v);}
FP lpdist(line a,P b){return abs(b-crspt(a,mkl(b,ortho(a))));}
FP spdist(line a,P b){
  P c(crspt(a,mkl(b,ortho(a))));
  return onl(a,c)?abs(b-c):min(abs(a.F-b),abs(a.S-b));
}
FP ssdist(line a,line b){
  return
    iscrs(a,b)?0.:
    min4(spdist(a,b.F),spdist(a,b.S),
         spdist(b,a.F),spdist(b,a.S));
}

int n,m,l;
int x[100],y[100],a[100],r[100];

double dist(int p,int q){
  P pp[5];
  P pq[5];
  rep(i,5){
    double ang=M_PI/2+M_PI*a[p]/180.+M_PI*2*i/5;
    pp[i]=P(x[p],y[p])+(double)r[p]*P(cos(ang),sin(ang));
  }
  rep(i,5){
    double ang=M_PI/2+M_PI*a[q]/180.+M_PI*2*i/5;
    pq[i]=P(x[q],y[q])+(double)r[q]*P(cos(ang),sin(ang));
  }

  double ret=ssdist(line(pp[0],pp[2]),line(pq[0],pq[2]));
  rep(i,5)rep(j,5)
    ret=min(ret,
	    ssdist(line(pp[i],pp[(i+2)%5]),
		   line(pq[j],pq[(j+2)%5])));
  return ret;
}
double cost[100][100];

void solve(){
  rep(i,n) cin >> x[i] >> y[i] >> a[i] >> r[i];
  rep(i,n)rep(j,n) cost[i][j]=dist(i,j);
  rep(k,n)rep(i,n)rep(j,n)
    cost[i][j]=min(cost[i][j],cost[i][k]+cost[k][j]);

  printf("%.8f\n",cost[m-1][l-1]);
}

int main(int argc, char *argv[])
{
  while(cin >> n >> m >> l && n) solve();
}

Measured memory_bytes: 1296