#include <cstdlib>
#include <cmath>
#include <climits>
#include <cfloat>
#include <map>
#include <set>
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <sstream>
#include <complex>
#include <stack>
#include <queue>
#include <cstdio>
#include <cstring>
#include <iterator>
#include <bitset>
#include <unordered_set>
#include <unordered_map>
#include <fstream>
#include <iomanip>
#include <cassert>
#include <utility>
#include <memory>
#include <functional>
#include <deque>
#include <cctype>
#include <ctime>
#include <numeric>
#include <list>
#include <iomanip>

#if __cplusplus >= 201103L
#include <array>
#include <tuple>
#include <initializer_list>
#include <forward_list>

#define cauto const auto&
#else

#endif

using namespace std;


typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

typedef vector<int> vint;
typedef vector<vector<int> > vvint;
typedef vector<long long> vll;
typedef vector<vector<long long> > vvll;

#define VV(T) vector<vector< T > >

template <class T>
void initvv(vector<vector<T> > &v, int a, int b, const T &t = T()){
    v.assign(a, vector<T>(b, t));
}

template <class F, class T>
void convert(const F &f, T &t){
    stringstream ss;
    ss << f;
    ss >> t;
}

#define GET_MACRO(_1, _2, _3, NAME, ...) NAME
#define _rep(i,n) _rep2((i),0,(n))
#define _rep2(i,a,b) for(int i=(a);i<(b);++i)
#define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__)
#define ALL(v) (v).begin(),(v).end()
#define PB push_back
#define fi first
#define se second
#define mkp make_pair
#define DEBUG
#ifdef DEBUG
#define dump(x)  cout << #x << " = " << (x) << endl;
#define debug(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;
#else
#define dump(x) 
#define debug(x) 
#endif

#define MOD 1000000007LL
#define EPS 1e-8
#define INF 0x3f3f3f3f
#define INFL 0x3f3f3f3f3f3f3f3fLL
#define maxs(x,y) x=max(x,y)
#define mins(x,y) x=min(x,y)

void mainmain(){
	int n,m,s,t;
	cin>>n>>m>>s>>t;
	s--,t--;
	VV(pii) vv1(n);
	VV(pii) vv2(n);
	rep(i,m){
		int u,v,a,b;
		cin>>u>>v>>a>>b;
		u--,v--;
		vv1[u].PB(pii(v,a));
		vv2[u].PB(pii(v,b));
		swap(u,v);
		vv1[u].PB(pii(v,a));
		vv2[u].PB(pii(v,b));
	}
	vll dist1(n,INFL);
	vll dist2(n,INFL);
	priority_queue<pll> pq1;
	pq1.push(pll(s,0));
	while(pq1.size()){
		pll top = pq1.top();
		// cout<<top.fi<<" "<<-top.se<<endl;
		pq1.pop();
		top.se *= -1;
		if(dist1[top.fi] < top.se) continue;
		dist1[top.fi] = top.se;
		for(auto x: vv1[top.fi]){
			if(dist1[x.fi] > top.se + x.se){
				dist1[x.fi] = top.se + x.se;
				pq1.push(pll(x.fi, -(top.se + x.se)));
			}
		}
	}
	priority_queue<pll> pq2;
	pq2.push(pll(t,0));
	while(pq2.size()){
		pll top = pq2.top();
		pq2.pop();
		top.se *= -1;
		if(dist2[top.fi] < top.se) continue;
		dist2[top.fi] = top.se;
		for(auto x: vv2[top.fi]){
			if(dist2[x.fi] > top.se + x.se){
				dist2[x.fi] = top.se + x.se;
				pq2.push(pll(x.fi, -(top.se + x.se)));
			}
		}
	}
	vll dist3(n);
	rep(i,n){
		dist3[i] = dist1[i] + dist2[i];
	}
	for(int i=n-2; i>=0; i--){
		mins(dist3[i], dist3[i+1]);
	}
	rep(i,n) cout<<((ll)1e15) - dist3[i]<<endl;
}


signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout<<fixed<<setprecision(20);
    mainmain();
}

Measured memory_bytes: 24176