#include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (n); ++i)
#define drep(i,n) for(int i = (n)-1; i >= 0; --i)
#define srep(i,s,t) for (int i = s; i < t; ++i)
using namespace std;
typedef long long int ll;
typedef pair<int,int> P;
#define yn {puts("Yes");}else{puts("No");}
struct edge{ int to;double cost; };
const double INF = 1001001001;
const int MAX_N = 200005;
const int MAX_V = 200005;
vector<edge> G[MAX_V];
double d[MAX_V];

void dijkstra(int s){
    // greater<P>を指定することでfirstが小さい順に取り出せるようにする
    priority_queue<P, vector<P>, greater<P> > que;
    fill(d, d+MAX_V, INF);
    d[s] = 0;
    que.push(P(0, s));

    while(!que.empty()){
        P p = que.top();
        que.pop();
        int v = p.second;
        for(int i=0; i<G[v].size(); i++){
            edge e = G[v][i];
            if(d[e.to] > d[v] + e.cost){
                d[e.to] = d[v] + e.cost;
                que.push(P(d[e.to], e.to));
            }
        }
    }
}

int main() {
    int n, m;
    cin >> n >> m;
    int s, g;
    cin >> s >> g;
    s--; g--;
    double x[n], y[n];
    rep(i,n)cin >> x[i] >> y[i];

    
    rep(i,m){
        int from,to;
        double cost;
        cin >> from >> to;
        from--; to--;
        edge e1, e2;
        cost = sqrt((x[from]-x[to])*(x[from]-x[to])+(y[from]-y[to])*(y[from]-y[to]));
        e1.to = to; e1.cost = cost;
        e2.to = from; e2.cost = cost;
        G[from].push_back(e1);
        G[to].push_back(e2);
    }

    dijkstra(s);

    double ans = d[g];
    cout << fixed << setprecision(10) << ans << endl;

    return 0;
}