#include <bits/stdc++.h>

int ri() {
	int n;
	scanf("%d", &n);
	return n;
}

template<typename T> using pqueue_inv = std::priority_queue<T, std::vector<T>, std::greater<T> >;

const double DINF = 1000000000;

int main() {
	int n = ri();
	int m = ri();
	int k = ri();
	int x = ri() - 1, y = ri() - 1;
	std::pair<int, int> pts[n];
	for (auto &i : pts) i.first = ri(), i.second = ri();
	auto calc_dist = [&] (int i, int j) {
		return std::hypot(pts[i].first - pts[j].first, pts[i].second - pts[j].second);
	};
	
	std::vector<int> hen[n];
	for (int i = 0; i < m; i++) {
		int x = ri() - 1;
		int y = ri() - 1;
		hen[x].push_back(y);
		hen[y].push_back(x);
	}
	
	struct Payload {
		double cur_cost;
		int pos;
		std::vector<bool> used;
		bool operator > (const Payload &rhs) const {
			return cur_cost > rhs.cur_cost;
		}
		bool operator < (const Payload &rhs) const {
			return cur_cost < rhs.cur_cost;
		}
	};
	auto dijkstra = [&] (int s, int t, const std::vector<bool> &used) {
		std::vector<double> dist(n, DINF);
		pqueue_inv<std::pair<double, int> > que;
		que.push({dist[s] = 0, s});
		while (que.size()) {
			auto j = que.top();
			que.pop();
			if (j.first != dist[j.second]) continue;
			for (auto k : hen[j.second]) {
				if (used[k]) continue;
				double cur = calc_dist(j.second, k);
				if (dist[k] > j.first + cur) que.push({dist[k] = j.first + cur, k});
			}
		}
		return dist[t];
	};
	if (dijkstra(x, y, std::vector<bool>(n)) == DINF) {
		for (int i = 0; i < k; i++) puts("-1");
		return 0;
	}
	
	pqueue_inv<std::pair<double, Payload> > que;
	std::vector<std::pair<double, Payload> > all[n];
	std::vector<bool> init_(n);
	init_[x] = true;
	que.push({dijkstra(x, y, std::vector<bool>(n)), {0, x, init_}});
	while (que.size()) {
		auto i = que.top();
		que.pop();
		double cur_cost = i.second.cur_cost;
		int x = i.second.pos;
		auto &used = i.second.used;
		if ((int) all[x].size() >= k) continue;
		all[x].push_back(i);
		for (auto j : hen[x]) {
			if (used[j]) continue;
			used[j] = true;
			double hen_cost = calc_dist(x, j);
			double cost = dijkstra(j, y, used);
			if (cost == DINF) continue;
			double new_estimated = cost + cur_cost + hen_cost;
			que.push({new_estimated, {cur_cost + hen_cost, j, used}});
			// bfs
			used[j] = false;
		}
	}
	for (int i = 0; i < k; i++) {
		if (i < (int) all[y].size()) {
			printf("%.11f\n", all[y][i].first);
		} else puts("-1");
	}
	return 0;
}