#ifdef LOCAL111
	#define _GLIBCXX_DEBUG
#else
	#define NDEBUG
#endif
#define _USE_MATH_DEFINES
#ifndef _GLIBCXX_NO_ASSERT
#include <cassert>
#endif
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>

#if __cplusplus >= 201103L
#include <ccomplex>
#include <cfenv>
#include <cinttypes>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#endif

// C++
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>

#if __cplusplus >= 201103L
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <type_traits>
#include <typeindex>
#include <unordered_map>
#include <unordered_set>
#endif
const long long INF = 1e15;
using namespace std;
template<typename T, typename U> ostream& operator<< (ostream& os, const pair<T,U>& p) { os << '(' << p.first << ' ' << p.second << ')'; return os; }

#define endl '\n'
#define ALL(a)  (a).begin(),(a).end()
#define SZ(a) int((a).size())
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--)
#define REP(i,n)  FOR(i,0,n)
#define RREP(i,n) for (int i=(n)-1;i>=0;i--)
#ifdef LOCAL111
	#define DEBUG(x) cout<<#x<<": "<<(x)<<endl
	template<typename T> void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;}
#else
	#define DEBUG(x) true
	template<typename T> void dpite(T a, T b){ return; }
#endif
#define F first
#define S second
#define SNP string::npos
#define WRC(hoge) cout << "Case #" << (hoge)+1 << ": "
template<typename T> void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;}
template<typename T> bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;}
template<typename T> bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;}



typedef long long int LL;
typedef unsigned long long ULL;
typedef pair<int,int> P;


void ios_init(){
	//cout.setf(ios::fixed);
	//cout.precision(12);
#ifdef LOCAL111
	return;
#endif
	ios::sync_with_stdio(false); cin.tie(0);
}

// 検証しなおしたい

//library
typedef long long cost_t;

class Edge {
public:
	int to = -1;
	cost_t cost = -1;
	
	Edge(){
	}

	Edge(int x,cost_t y){
		to = x;
		cost = y;
	}

	// Edge(int x, int y, cost_t z){
	// 	// from = x;
	// 	to = y;
	// 	cost = z;
	// }

	// Edge(int x, int y, int r, cost_t z){
	// 	// from = x;
	// 	to = y;
	// 	cost = z;
	// 	// rev = r;
	// }

	bool operator< (const Edge& x) const {
		if(cost != x.cost) return cost < x.cost;
		return to < x.to;
	}

	bool operator> (const Edge& x) const {
		if(cost != x.cost) return cost > x.cost;
		return to > x.to;
	}
};

class Graph {
private:
	typedef vector<Edge> Edges;
	//const long long int INF = (long long)1e18;
	vector<Edges> v; 
	int n;
public:
	Graph(int x){
		n = x;
		v = vector<Edges>(x);
	}

	Graph(){}

	Edges& operator[](int x){
		return v[x];
	}

	const Edges& operator[](int x) const {
		return v[x];
	}

	int size() const {
		return n;
	}

	void add_edge(int from, const Edge &e){
		v[from].push_back(e);
	}

	void add_edge(int from, int to, cost_t cost = -1){
		add_edge(from,Edge(to,cost));
	}

	// void add_edge(int from, int to, cost_t cost = -1, int rev = -1){
	// 	add_edge(from,Edge(from,to,rev,cost));
	// }

	void add_uedge(int from, int to, cost_t cost = -1){
		add_edge(from,to,cost);
		add_edge(to,from,cost);
	}
};


vector<cost_t> dijkstra(const Graph& v, int from)
{
	vector<cost_t> dist(v.size(),INF);
	priority_queue<Edge,vector<Edge>,greater<Edge>> que;
	que.push(Edge(from,0));
	while(!que.empty()){
		Edge e = que.top();
		que.pop();
		if(dist[e.to] == INF){
			dist[e.to] = e.cost;
			for(auto to : v[e.to]){
				if(dist[to.to] <= e.cost+to.cost) continue;
				que.push(Edge(to.to, e.cost+to.cost));
			}
		}
	}
	return dist;
}

vector<cost_t> bellmanford(const Graph& g, int from)
{
	vector<cost_t> res(g.size(),INF);
	res[from] = 0;
	bool conf = true;
	int cnt = 0;
	while(conf){
		conf = false;
		for(int i = 0; i < g.size(); i++){
			if(res[i] != INF)
			for(const auto& e : g[i]){
				if(res[e.to] > res[i]+e.cost){
					conf = true;
					res[e.to] = res[i]+e.cost;
				}
			}
		}
		if(cnt > g.size()+5) return vector<cost_t>();
		cnt++;
	}
	return res;
}

Graph prim(const Graph& g)
{
	using T = tuple<cost_t, int, int>;
	priority_queue<T, vector<T>, greater<T>> qu;
	int n = g.size();
	assert(n != 0);
	vector<bool> added(n,false);
	qu.emplace(0,0,0);
	Graph res(n);
	while(!qu.empty()){
		int from, to;
		cost_t cost;
		tie(cost, from, to) = qu.top();
		qu.pop();
		if(!added[to]){
			added[to] = true;
			res.add_edge(from, to, cost);
			res.add_edge(to, from, cost);
			for(const auto &e : g[to]){
				if(!added[e.to]){
					qu.emplace(e.cost, to, e.to);
				}
			}
		}
	}
	return res;
}

vector<int> getTreeOrder(const Graph &g, int root)
{
	vector<int> res;
	function<void(int p, int pre)> func = [&](int p, int pre){
		for(auto &e : g[p]){
			if(e.to != pre){
				func(e.to,p);
			}
		}
		res.push_back(p);
	};
	func(root,-1);
	return res;
}

vector<int> getTreePar(const Graph &g, int root)
{
	vector<int> par(g.size(),root);
	function<void(int p, int pre)> func = [&](int p, int pre){
		par[p] = pre;
		for(auto &e : g[p]){
			if(e.to != pre){
				func(e.to,p);
			}
		}
	};
	func(root,root);
	return par;
}


vector<int> toposort(const Graph &g)
{
	int n = g.size();
	vector<int> res;
	res.reserve(n);
	vector<bool> used(n,false);
	function<void(int)> rec = [&](int p){
		if(used[p]) return;
		used[p] = true;
		for(auto&& e : g[p]) {
			rec(e.to);
		}
		res.push_back(p);
	};
	for(int i = 0; i < n; ++i) {
		if(!used[i]) rec(i);
	}
	reverse(res.begin(), res.end());
	return res;
}

//0からの連結成分をたどる
tuple<cost_t,int,int> getTreeDiameter(const Graph &g, int root = 0){
	using P = pair<cost_t,int>;
	
	function<P(int,int)> dfs = [&](int p, int par) -> P{
		P res = {0,p};
		for(auto&& e : g[p]) {
			if(e.to == par) continue;
			auto v = dfs(e.to,p);
			v.first += e.cost;
			res = max(res,v);
		}
		return res;
	};	
	auto ap1 = dfs(root,-1);
	auto ap2 = dfs(ap1.second,-1);
	return make_tuple(ap2.first,ap2.second,ap1.second);
}

// res.secondはなければ-1
//未検証？
pair<int,int> getTreeCenter(const Graph& g, int root = 0){
	cost_t di;
	int x, y;
	tie(di, x, y) = getTreeDiameter(g,root);
	pair<int,int> res(-1,-1);
	cost_t mi = INF;
	function<cost_t(int,int)> rec 
	 = [&](int p, int par) -> cost_t{
		if(p == y){
			mi = di;
			res = {p,-1};
			return 0;
		}
		cost_t ress = -1;
		for(auto&& e : g[p]) if(e.to != par){
			cost_t v = rec(e.to,p);
			if(v != -1){
				v += e.cost;
				ress = v;
				v = max(v, di-(v));
				if(mi > v){
					mi = v;
					res = {p,-1};
				}else if(mi == v){
					res.second = p;
				}
			}
		}
		return ress;
	};
	rec(x,-1);
	return res;
}

vector<int> constructUndirectedEulerTrail(const Graph& g) {
	int n = g.size();
	vector<int> cnt(n);
	vector<multiset<int>> es(n);
	for(int i = 0; i < n; ++i) {
		for(auto&& e : g[i]) {
			es[i].insert(e.to);
			cnt[i]++;
			cnt[e.to]++;
		}
	}
	vector<int> res;
	function<void(int)> rec = [&](int p){
		while(!es[p].empty()){
			int to = *es[p].begin();
			es[p].erase(es[p].begin());
			es[to].erase(es[to].find(p));
			rec(to);
		}
		res.push_back(p);
	};
	int sp = 0;
	for(int i = 0; i < n; ++i) {
		if(cnt[i]%4 != 0){
			sp = i;
			break;
		}
	}
	rec(sp);
	return res;
}

int maxIndependentSet(const Graph& g) {
	int n = g.size();
	const int MAX = 60;
	vector<bitset<MAX>> adj(n, 0);
	for(int i = 0; i < n; i++) {
		for(auto&& e : g[i]) {
			adj[i][e.to] = true;
		}
	}
 
	function<int(bitset<MAX>, int)> dfs
	= [&](bitset<MAX> determined, int p) -> int {
		if(p == n){
			return 0;
		}
		if(determined[p]) return dfs(determined, p+1);
		int deg =((~determined)&adj[p]).count();
		determined[p] = true;
		int res = 0;
		if(deg > 1) {
			res = dfs(determined, p+1);
		}
		determined = determined|adj[p];
		res = max(res, dfs(determined, p+1)+1);
		return res;
	};

	return dfs(0, 0);
}

//liblary



class GraphVizualizer{
	int cnt;
public:
	GraphVizualizer(){
		cnt = 0;
	}

	void operator() (const Graph &g, bool with_dir = true, bool with_cap = false){
		ofstream ofs("./out.dot");
		if(!with_dir) ofs << "graph graph_name {" << endl;
		else ofs << "digraph graph_name {" << endl;
		for(int i = 0; i < (int)g.size(); ++i) {
			ofs << "    " << i << "[];" << endl;
		}
		for(int i = 0; i < (int)g.size(); i++){
			if (!g[i].size())
				continue;
			for(const auto &e : g[i]){
				if(!with_dir){
					if(e.to > i) ofs << "    " << i << " -- " << e.to ; 
				}else ofs << "    " << i << " -> " << e.to ; 
				
				if (with_cap) {
					ofs << " [ label = \"" << (e.cost  == INF ? "inf" : to_string(e.cost)) << "\"];"; 
				}
				if(with_dir or e.to > i)ofs << endl;
			}
		}
		ofs << "}" << endl;
		ofs.close();
		string cmd = "dot -T png out.dot > ";
		cmd = cmd+"sample"+to_string(cnt)+".png";
		system(cmd.c_str());	
		cnt++;
	}
};

int main()
{
	ios_init();
	int n, m, s, t;
	// GraphVizualizer viz;
	while(cin >> n >> m >> s >> t) {
		s--;
		t--;
		Graph ga(n), gb(n);
		REP(i, m) {
			int u, v;
			LL a, b;
			cin >> u >> v >> a >> b;
			u--;
			v--;
			ga.add_uedge(u, v, a);
			gb.add_uedge(u, v, b);
		}
			// viz(ga, true, true); viz(gb, true, true);
		auto da = dijkstra(ga, s);
		auto db = dijkstra(gb, t);
		using P = pair<LL, int>;
		vector<P> t(n);
		REP(i, n) {
			t[i] = {da[i] + db[i], i};
		}
		dpite(ALL(t));
		sort(ALL(t));
		vector<LL> ans(n);
		int p = 0;
		REP(i, n) {
			while(t[p].S < i) p++;
			ans[i] = 1000000000000000LL - t[p].F;
		}
		REP(i, n) cout << ans[i] << endl;
		// pite(ALL(ans));
	}
	return 0;
}


Measured memory_bytes: 20540