#include <iostream>
#include <iomanip>
#include <string>
#include <cmath>
#include <algorithm>
#include <vector>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <stack>
#include <queue>
#include <bitset>
#include <numeric>
#include <cassert>
#include <random>
#ifdef DEBUG
#include "./Lib/debug.hpp"
#include "./Lib/Timer.h"
#else
#define dump(...)
template<class T>inline auto d_val(T a, T b) { return a; }
#endif

/* (=＾o＾=) */
#define int ll

/* macro */
#define FOR(i, b, e) for(ll i = (ll)(b); i < (ll)(e); ++i)
#define RFOR(i, b, e) for(ll i = (ll)(e-1); i >= (ll)(b); --i)
#define REP(i, n) FOR(i, 0, n)
#define RREP(i, n) RFOR(i, 0, n)
#define REPC(x,c) for(const auto& x:(c))
#define REPI2(it,b,e) for(auto it = (b); it != (e); ++it)
#define REPI(it,c) REPI2(it, (c).begin(), (c).end())
#define RREPI(it,c) REPI2(it, (c).rbegin(), (c).rend())
#define REPI_ERACE2(it, b, e) for(auto it = (b); it != (e);)
#define REPI_ERACE(it, c) REPI_ERACE2(it, (c).begin(), (c).end())
#define ALL(x) (x).begin(),(x).end()
#define cauto const auto&
/* macro func */
#define SORT(x) do{sort(ALL(x));}while(false)
#define RSORT(x) do{sort((x).rbegin(),(x).rend());}while(false)
#define UNIQUE(v) do{v.erase( unique(v.begin(), v.end()), v.end() );}while(false)
#define MAX(x,y) do{x = std::max(x,y);}while(false)
#define MIN(x,y) do{x = std::min(x,y);}while(false)
#define BR do{cout<<"\n";}while(false)

/* type define */
using ll = long long;
using PAIR = std::pair<ll, ll>;
using VS = std::vector<std::string>;
using VL = std::vector<long long>;
using VVL = std::vector<VL>;
using VVVL = std::vector<VVL>;
using VD = std::vector<double>;
template<class T>
using V = std::vector<T>;

/* using std */
using std::cout;
constexpr char endl = '\n';
using std::cin;
using std::sort;
using std::pair;
using std::string;
using std::stack;
using std::queue;
using std::vector;
using std::list;
using std::map;
using std::unordered_map;
using std::multimap;
using std::unordered_multimap;
using std::set;
using std::unordered_set;
using std::unordered_multiset;
using std::multiset;
using std::bitset;
using std::priority_queue;

/* constant value */
constexpr ll MOD = 1000000007;
//constexpr ll MOD = 998244353;

/* Initial processing  */
struct Preprocessing { Preprocessing() { std::cin.tie(0); std::ios::sync_with_stdio(0); }; }_Preprocessing;

/* Remove the source of the bug */
signed pow(signed, signed) { assert(false); return -1; }

/* define hash */
namespace std { template <>	class hash<std::pair<ll, ll>> { public:	size_t operator()(const std::pair<ll, ll>& x) const { return hash<ll>()(1000000000 * x.first + x.second); } }; }

/* input */
template<class T> std::istream& operator >> (std::istream& is, vector<T>& vec) { for (T& x : vec) is >> x; return is; }

//=============================================================================================
/**
 *  ダイクストラにより任意のnodeから全nodeへの最小コストを得る
 *  O((E+V)logV)
 */
VL dijkstra(const unordered_multimap<ll, PAIR>& graph, ll n, ll begin) {
	VL cost(n, 1e15);
	cost[begin] = 0;
	priority_queue<PAIR, vector<PAIR>, std::greater<PAIR>> q;
	q.emplace(0, begin);
	while (!q.empty()) {
		ll from = q.top().second;
		ll nowCost = q.top().first;
		q.pop();
		if (cost[from] < nowCost) { continue; }
		auto range = graph.equal_range(from);
		REPI2(itr, range.first, range.second) {
			ll to = itr->second.first;
			ll c = itr->second.second;
			if (nowCost + c < cost[to]) {
				cost[to] = nowCost + c;
				q.emplace(cost[to], to);
			}
		}
	}
	return cost;
}

signed main() {
	ll n, m, s, t;
	cin >> n >> m >> s >> t;
	--s; --t;
	unordered_multimap<ll, PAIR> graph_y;
	unordered_multimap<ll, PAIR> graph_sn;
	REP(_, m) {
		ll a, b, c, d;
		cin >> a >> b >> c >> d;
		--a; --b;
		graph_y.emplace(a, PAIR(b, c));
		graph_y.emplace(b, PAIR(a, c));
		graph_sn.emplace(a, PAIR(b, d));
		graph_sn.emplace(b, PAIR(a, d));
	}

	auto yc = dijkstra(graph_y, n, s);
	auto snc = dijkstra(graph_sn, n, t);

	VL ans; ans.reserve(n);
	REP(i, n) {
		ans.emplace_back(yc[i] + snc[i]);
	}
	RFOR(i, 0, n - 1) { MIN(ans[i], ans[i + 1]); }

	REPC(x, ans) {
		cout << static_cast<ll>(1e15) - x << endl;
	}
	dump(yc, snc);

}


Measured memory_bytes: 26896