// {{{ template
// clang-format off
#include <iostream>
#include <algorithm>
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#include <array>
#include <unordered_map>
#include <complex>
#include <deque>
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
using namespace std;

#define forr(x,arr) for(auto&& x:arr)
#define _overload3(_1,_2,_3,name,...) name
#define _rep2(i,n) _rep3(i,0,n)
#define _rep3(i,a,b) for(int i=int(a);i<int(b);++i)
#define rep(...) _overload3(__VA_ARGS__,_rep3,_rep2,)(__VA_ARGS__)
#define _rrep2(i,n) _rrep3(i,0,n)
#define _rrep3(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__)
#define all(x) (x).begin(),(x).end()
#define bit(n) (1LL<<(n))
#define sz(x) ((int)(x).size())
#define TEN(n) ((ll)(1e##n))
#define fst first
#define snd second

string DBG_DLM(int &i){return(i++==0?"":", ");}
#define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;}
template<class T>ostream&operator<<(ostream&os,vector<T>v);
template<class T>ostream&operator<<(ostream&os,set<T>v);
template<class T>ostream&operator<<(ostream&os,queue<T>q);
template<class T>ostream&operator<<(ostream&os,priority_queue<T>q);
template<class T,class K>ostream&operator<<(ostream&os,pair<T,K>p);
template<class T,class K>ostream&operator<<(ostream&os,map<T,K>mp);
template<class T,class K>ostream&operator<<(ostream&os,unordered_map<T,K>mp);
template<int I,class TPL>void DBG(ostream&os,TPL t){}
template<int I,class TPL,class H,class...Ts>void DBG(ostream&os,TPL t){os<<(I==0?"":", ")<<get<I>(t);DBG<I+1,TPL,Ts...>(os,t);}
template<class T,class K>void DBG(ostream&os,pair<T,K>p,string delim){os<<"("<<p.first<<delim<<p.second<<")";}
template<class...Ts>ostream&operator<<(ostream&os,tuple<Ts...>t){os<<"(";DBG<0,tuple<Ts...>,Ts...>(os,t);os<<")";return os;}
template<class T,class K>ostream&operator<<(ostream&os,pair<T,K>p){DBG(os,p,", ");return os;}
template<class T>ostream&operator<<(ostream&os,vector<T>v){DBG_B(forr(t,v){os<<DBG_DLM(i)<<t;});}
template<class T>ostream&operator<<(ostream&os,set<T>s){DBG_B(forr(t,s){os<<DBG_DLM(i)<<t;});}
template<class T>ostream&operator<<(ostream&os,queue<T>q){DBG_B(for(;q.size();q.pop()){os<<DBG_DLM(i)<<q.front();});}
template<class T>ostream&operator<<(ostream&os,priority_queue<T>q){DBG_B(for(;q.size();q.pop()){os<<DBG_DLM(i)<<q.top();});}
template<class T,class K>ostream&operator<<(ostream&os,map<T,K>m){DBG_B(forr(p,m){os<<DBG_DLM(i);DBG(os,p,"->");});}
template<class T,class K>ostream&operator<<(ostream&os,unordered_map<T,K>m){DBG_B(forr(p,m){os<<DBG_DLM(i);DBG(os,p,"->");});}
#define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name
#define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<<s;}
#define DBG_OUTPUT(v){cerr<<(#v)<<"="<<(v);}
#define DBG1(v,...){DBG_OUTPUT(v);}
#define DBG2(v,...){DBG_OUTPUT(v);cerr<<", ";DBG1(__VA_ARGS__);}
#define DBG3(v,...){DBG_OUTPUT(v);cerr<<", ";DBG2(__VA_ARGS__);}
#define DBG4(v,...){DBG_OUTPUT(v);cerr<<", ";DBG3(__VA_ARGS__);}
#define DBG5(v,...){DBG_OUTPUT(v);cerr<<", ";DBG4(__VA_ARGS__);}
#define DBG6(v,...){DBG_OUTPUT(v);cerr<<", ";DBG5(__VA_ARGS__);}
#define DEBUG0(){DBG_LINE();cerr<<endl;}
#ifdef LOCAL
#define out(...){DBG_LINE();DBG_OVERLOAD(__VA_ARGS__,DBG6,DBG5,DBG4,DBG3,DBG2,DBG1)(__VA_ARGS__);cerr<<endl;}
#else
#define out(...)
#endif

using ll=long long;
using pii=pair<int,int>;using pll=pair<ll,ll>;using pil=pair<int,ll>;using pli=pair<ll,int>;
using vs=vector<string>;using vvs=vector<vs>;using vvvs=vector<vvs>;
using vb=vector<bool>;using vvb=vector<vb>;using vvvb=vector<vvb>;
using vi=vector<int>;using vvi=vector<vi>;using vvvi=vector<vvi>;
using vl=vector<ll>;using vvl=vector<vl>;using vvvl=vector<vvl>;
using vd=vector<double>;using vvd=vector<vd>;using vvvd=vector<vvd>;
using vpii=vector<pii>;using vvpii=vector<vpii>;using vvvpii=vector<vvpii>;
template<class A,class B>bool amax(A&a,const B&b){return b>a?a=b,1:0;}
template<class A,class B>bool amin(A&a,const B&b){return b<a?a=b,1:0;}
template<class T>void print(T t){cout<<t<<"\n";}
template<class H,class... T>void print(H h,T... t){cout<<h<<" ";print(t...);}
ll ri(){ll l;cin>>l;return l;} string rs(){string s;cin>>s;return s;}
// clang-format on
// }}}

// sniplate: graph_template
using Weight = int64_t;
struct Edge {
	int dst;
	Weight weight;
	Edge() : dst(0), weight(0) {}
	Edge(int d, Weight w = 1) : dst(d), weight(w) {}
};
ostream &operator<<(ostream &os, const Edge &e) { return os << e.dst; }
using Edges = vector<Edge>;
using Graph = vector<Edges>;

vl cal(int n, int m, int start, Graph &G) {
	vl D(n, 1e18);
	{
		priority_queue<pli, vector<pli>, greater<pli>> q;
		D[start] = 0;
		q.emplace(0, start);
	
		while (!q.empty()) {
			ll c; int v;
			tie(c, v) = q.top(); q.pop();
	
			if (D[v] < c) continue;
	
			forr(edg, G[v]) {
				int nv = edg.dst;
				ll nc = c + edg.weight;
				if (D[nv] > nc) {
					D[nv] = nc;
					q.emplace(nc, nv);
				}
			}
		}
	}
	return D;
}

// sniplate: SegmentTree
template<class V, class Merge> struct SegmentTree {
	const int n;
	const V unit_value;
	vector<V> val;

	SegmentTree(int _n) : n(1 << (32-__builtin_clz(_n-1))), unit_value(Merge::unit()), val(n * 2, unit_value) {}

	V get(int i) const { return val[i + n]; }
	void set(int i, const V &v) { val[i + n] = v; }

	void build() {
		for (int i = n - 1; i > 0; i--) val[i] = Merge::merge(val[i << 1], val[i << 1 | 1]);
	}

	void update(int i, const V &v) {
		for (val[i += n] = v; i >>= 1;) {
			val[i] = Merge::merge(val[i << 1], val[i << 1 | 1]);
		}
	}

	// [l, r)
	V query(int l, int r) const {
		l = max(0, min(n, l)) + n;
		r = max(0, min(n, r)) + n;
		V ret1 = unit_value, ret2 = unit_value;
		for (; l < r; l >>= 1, r >>= 1) {
			if (l & 1) ret1 = Merge::merge(ret1, val[l++]);
			if (r & 1) ret2 = Merge::merge(val[--r], ret2);
		}
		return Merge::merge(ret1, ret2);
	}
};
template<class V, class Merge> ostream& operator<<(ostream& os, const SegmentTree<V, Merge>& seg) {
	vector<V> vec;
	for (int i = 0; i < seg.n; i++) {
		vec.emplace_back(seg.get(i));
	}
	os << vec;
	return os;
}

// sniplate: SegTreeMin
template <class V> struct MergeRangeMinQ {
	static V merge(const V &l, const V &r) { return l < r ? l : r; }
	static V unit() { return numeric_limits<V>::max(); }
};
template<class V> using SegTreeMin = SegmentTree<V, MergeRangeMinQ<V>>;

void Main() {
	int n = ri(), m = ri(), s = ri()-1, t = ri()-1;

	Graph G1(n), G2(n);

	rep(i, m) {
		int u = ri() - 1;
		int v = ri() - 1;
		int a = ri(), b = ri();
		out(u,v,a,b);
		G1[u].emplace_back(v, a);
		G1[v].emplace_back(u, a);
		G2[u].emplace_back(v, b);
		G2[v].emplace_back(u, b);
	}
	out(G1, G2);
	
	vl D1 = cal(n, m, s, G1);
	vl D2 = cal(n, m, t, G2);

	out(D1);
	out(D2);

	SegTreeMin<ll> seg(n);
	rep(i, n) {
		seg.set(i, D1[i]+D2[i]);
	}
	seg.build();

	rep(i, n) {
		ll mi = seg.query(i, n);
		cout << TEN(15) - mi << endl;
	}


	// TODO check OVERFLOW
}
signed main() {
	cin.tie(nullptr);
	ios::sync_with_stdio(false);
	Main();
	return 0;
}


Measured memory_bytes: 20348