#include <iostream>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstdlib>
#include <cassert>
#include <vector>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <map>
#include <set>
#include <bitset>
#include <string>
#include <algorithm>
#include <utility>
#define llint long long
#define inf 1e18
#define rep(x, s, t) for(llint (x) = (s); (x) < (t); (x)++)
#define Rep(x, s, t) for(llint (x) = (s); (x) <= (t); (x)++)
#define chmin(x, y) (x) = min((x), (y))
#define chmax(x, y) (x) = max((x), (y))
#define eps 1e-9

using namespace std;
typedef pair<double, llint> P;

struct edge{
	llint to;
	double cost;
	edge(){}
	edge(llint a, double b){
		to = a, cost = b;
	}
};

struct vec2d{
	double x, y;
	vec2d(){}
	vec2d(double x, double y){
		this->x = x, this->y = y;
	}
	double add(double a, double b){
		if(fabs(a+b) < eps * (fabs(a) + fabs(b))) return 0.0;
		return a+b;
	}
	vec2d operator+(vec2d ope){
		return vec2d(add(x, ope.x), add(y, ope.y));
	}
	vec2d operator-(vec2d ope){
		return vec2d(add(x, -ope.x), add(y, -ope.y));
	}
	vec2d operator*(double t){
		return vec2d(x*t, y*t);
	}
	vec2d operator/(double t){
		return vec2d(x/t, y/t);
	}
	double dot(vec2d ope){
		return add(x*ope.x, y*ope.y);
	}
	double cross(vec2d ope){
		return add(x*ope.y, -y*ope.x);
	}
	double norm(){
		double d2 = dot(*this);
		if(d2 > 0) return sqrt(d2);
		return 0.0;
	}
};

double distPP(vec2d p, vec2d q){
	return (p-q).norm();
}


llint n, m, s, t;
vector<edge> G[200005];
vec2d p[200005];
double dist[200005];

void dijkstra(vector<edge> G[], llint S, double dist[])
{
	for(int i = 0; i <= n; i++) dist[i] = inf;
	dist[S] = 0;
	
	priority_queue< P, vector<P>, greater<P> > Q;
	Q.push( make_pair(0, S) );
	
	llint v; double d;
	while(Q.size()){
		d = Q.top().first;
		v = Q.top().second;
		Q.pop();
		if(dist[v] < d) continue;
		for(int i = 0; i < G[v].size(); i++){
			if(dist[G[v][i].to] > d + G[v][i].cost){
				dist[G[v][i].to] = d + G[v][i].cost;
				Q.push( make_pair(dist[G[v][i].to], G[v][i].to) );
			}
		}
	}
}

int main(void)
{
	//ios::sync_with_stdio(0);
	//cin.tie(0);
	
	cin >> n >> m >> s >> t;
	for(int i = 1; i <= n; i++){
		cin >> p[i].x >> p[i].y;
	}
	llint u, v;
	for(int i = 1; i <= m; i++){
		cin >> u >> v;
		double w = distPP(p[u], p[v]);
		G[u].push_back(edge(v, w));
		G[v].push_back(edge(u, w));
	}
	
	dijkstra(G, s, dist);
	
	printf("%.11f\n", dist[t]);
	
	return 0;
}