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//       ?77WMMMYB""!                                                                        _7"WWMMMY"7=     

// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
#include <fstream>

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)std::cin>>w;
// output
template<typename T>void MACRO_OUT(const T t) { std::cout << t; }
template<typename First, typename...Rest>void MACRO_OUT(const First first, const Rest...rest) { std::cout << first << " "; MACRO_OUT(rest...); }
#define OUT(...) MACRO_OUT(__VA_ARGS__);
#define FOUT(n, dist) std::cout<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) std::cout<<std::setw(n)<<std::setfill(c)<<(dist);
#define EOUT(...) { OUT(__VA_ARGS__)BR; exit(0); }
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(w, n) std::cout<<(w + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t: " << (dist) << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t: ";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t: ";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";}
#define SHOWSTACK(a) {auto tmp(a);std::cerr << #a << "\t: ";while(!tmp.empty()){std::cerr << tmp.top() << " ";tmp.pop();}std::cerr << "\n";}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define REP(w, n) FOR(w, 0, n)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define RREP(w, n) RFOR(w, 0, n)
template<class S, class T, class U> bool IN(S a, T x, U b) { return a <= x && x < b; }
template<class T> inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; }
template<class T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;

template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) {
	os << "(" << p.first << ", " << p.second << ")"; return os;
}

// type/const
using i64 = std::int_fast64_t;
using u64 = std::uint_fast64_t;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<i64, i64>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = (1 << 30) - 1;                    // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-6;
constexpr i64 MOD = 998244353;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T> & a, const T & val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>> & a, const T & val) { for (auto& b : a) FILL(b, val); }
// ------------>8---------



signed main() {
	INIT;

	VAR(int, n, m, k, x, y); --x; --y;
	VEC_ROW(int, n, p, q);
	VEC_ROW(int, m, P, Q);

	VV<ld> cost(n, V<ld>(n, 1e300));
	REP(i, n) REP(j, n) cost[i][j] = std::hypot(p[i] - p[j], q[i] - q[j]);
	REP(i, m) --P[i], --Q[i];

	V<std::map<int, ld>> g(n);
	auto reset = [&] {
		g.resize(0);
		g.resize(n);
		REP(i, m) {
			g[P[i]][Q[i]] = cost[P[i]][Q[i]];
			g[Q[i]][P[i]] = cost[Q[i]][P[i]];
		}
	};
	reset();

	std::set<V<int>> shortpathset;
	using Pa = std::pair<ld, V<int>>;
	std::priority_queue<Pa, V<Pa>, std::greater<Pa>> candpathpq;
	std::set<V<int>> candpathset;

	std::vector<ld> dist(n);
	V<int> pre(n);

	auto getLastPath = [&] {
		V<int> res({ y });
		int now = y;
		while (pre[now] != -1) {
			now = pre[now];
			res.emplace_back(now);
		}
		std::reverse(ALL(res));
		return res;
	};

	std::function<void(int)> Dijkstra = [&](int s) {
		using P = std::pair<ld, int>;
		std::priority_queue<P, std::vector<P>, std::greater<P>> pq;
		FILL(dist, 1e300l);
		FILL(pre, -1);
		dist[s] = 0.l;
		pq.push(P(0.l, s));
		while (!pq.empty()) {
			P p = pq.top(); pq.pop();
			int v = p.second;
			if (dist[v] < p.first) continue;
			for(const auto& e : g[v]) {
				if (dist[e.first] > dist[v] + e.second) {
					dist[e.first] = dist[v] + e.second;
					pre[e.first] = v;
					pq.push(P(dist[e.first], e.first));
				}
			}
		}
	};

	Dijkstra(x);
	V<int> path = getLastPath();
	shortpathset.insert(path);
	V<ld> ans({ dist[y] });

	while (ans.size() < k) {
		ld sum = 0;
		REP(i, path.size() - 1) {
			REP(j, i + 1) {
				g[path[j]].erase(path[j + 1]);
				g[path[j + 1]].erase(path[j]);
			}
			for (auto& tpath : shortpathset) {
				if (i + 1 >= tpath.size()) continue;
				if (tpath == path) continue;
				bool ok = true;
				REP(j, i + 1) if (tpath[j] != path[j]) ok = false;
				if (ok) {
					g[tpath[i]].erase(tpath[i + 1]);
					g[tpath[i + 1]].erase(tpath[i]);
				}
			}
			Dijkstra(path[i]);
			V<int> tpath(path.begin(), path.begin() + i);
			{
				auto tmppath = getLastPath();
				tpath.insert(tpath.end(), ALL(tmppath));
			}
			if (dist[y] < 1e100) {
				if (!shortpathset.count(tpath) && !candpathset.count(tpath)) {
					candpathset.insert(tpath);
					candpathpq.emplace(sum + dist[y], tpath);
				}
			}
			sum += cost[path[i]][path[i + 1]];
			reset();
		}
		if (candpathpq.empty()) break;
		Pa mi = candpathpq.top(); candpathpq.pop();
		if (mi.first > 1e100) break;
		path = mi.second;
		candpathset.erase(path);
		shortpathset.insert(path);
		ans.emplace_back(mi.first);
	}

	ans.resize(k, -1);
	REP(i, k) {
		if (ans[i] < 0 || ans[i] > 1e100) {
			OUT(-1)BR;
		}
		else {
			FOUT(12, ans[i])BR;
		}
	}

	return 0;
}