// template version 1.15
using namespace std;
#include <bits/stdc++.h>

// varibable settings
#define int long long
const int INF=1e18;

// define basic macro {{{
#define _overload3(_1,_2,_3,name,...) name
#define _rep(i,n) repi(i,0,n)
#define repi(i,a,b) for(int i=(int)(a);i<(int)(b);++i)
#define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__)
#define _rrep(i,n) rrepi(i,0,n)
#define rrepi(i,a,b) for(int i=(int)((b)-1);i>=(int)(a);--i)
#define rrep(...) _overload3(__VA_ARGS__,rrepi,_rrep,)(__VA_ARGS__)
#define each(i,a) for (auto&& i : a)
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define pb(a) push_back(a)
#define mp(a, b) make_pair(a, b)
#define mt(a, b, c) make_tuple(a, b, c)
#define ub upper_bound
#define lb lower_bound
#define posl(A, x) (lower_bound(all(A), x)-A.begin())
#define posu(A, x) (upper_bound(all(A),x)-A.begin())
template<class T> inline void chmax(T &a, const T &b) { if((a) < (b)) (a) = (b); }
template<class T> inline void chmin(T &a, const T &b) { if((a) > (b)) (a) = (b); }

#define divceil(a,b) ((a)+(b)-1)/(b)
#define is_in(x, a, b) ((a)<=(x) && (x)<(b))
#define uni(x) sort(all(x));x.erase(unique(all(x)),x.end())
#define slice(l, r) substr(l, r-l)

typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef long double ld;
typedef pair<int,int> pii;
typedef tuple<int,int,int> iii;

template<typename T> using PQ = priority_queue<T, vector<T>, greater<T>>;
struct Fast { Fast(){ std::cin.tie(0); ios::sync_with_stdio(false); } } fast;

#if defined(PCM) || defined(LOCAL)
    #include "lib/dump.hpp"
#else
    #define dump(...) 42
    #define dump_1d(...) 42
    #define dump_2d(...) 42
    #define cerrendl 42
#endif
//}}}


using Pos = int;  // TODO: update if needed

using Cost = int;  // TODO: update if needed
Cost zerocost = 0LL;  // TODO: update if needed
Cost infcost = INF;  // TODO: update if needed
// using Cost = pii;
// Cost zerocost = mp(0, 0);
// Cost infcost = mp(INF, INF);

struct Edge {
    Pos to;/*{{{*/
    Cost cost;
    Edge(Pos to, Cost cost): to(to), cost(cost) {
    }
    friend auto& operator<<(auto &os, const Edge& e){
        os << e.to << " " << e.cost;
        return os;
    }/*}}}*/
};
struct Graph{
    unordered_map<Pos, vector<Edge>> all_edges;//Posがpiiでなくintならunordredの方が早い{{{
    void add_edge(Pos from, Pos to, Cost cost){
        all_edges[from].emplace_back(to, cost);
    }

    auto operator[](Pos pos) {
        return all_edges[pos];
    }

    friend auto& operator<<(auto &os, const Graph& G){
        os << G.all_edges;
        return os;
    }/*}}}*/
};
struct Dist {
    unordered_map<Pos, Cost> data;/*{{{*/
    Cost operator[](Pos pos){
        if (data.find(pos)!=data.end()) return data[pos];
        else                      return infcost;
    }/*}}}*/
};
Dist dijkstra(Graph& G, vector<Pos> starts) {  // 多点スタート
    Dist d;  // 最短距離{{{
    PQ<pair<Cost, Pos>> pq;
    each(start, starts){
        d.data[start] = zerocost;
        pq.push(mp(zerocost, start));
    }
    while (!pq.empty()){
        auto cp = pq.top(); pq.pop();
        auto cost = cp.first;
        auto u = cp.second;
        for (const auto &edge: G[u]){
            Pos v = edge.to;
            Cost ncost = cost+edge.cost;
            if (ncost < d[v]){
                d.data[v] = ncost;
                pq.push(mp(ncost, v));
            }
        }
    }
    return d;/*}}}*/
};
Dist dijkstra(Graph& G, Pos start) {
    vector<Pos> starts = {start};
    return dijkstra(G, starts);
};

// int sample(){
// init and build G
// Graph G;
//
// int n,m;cin>>n>>m;
// rep(i, m){
//     Pos from, to;
//     Cost cost;
//     cin>>from>>to>>cost;
//     from--;to--;
//     G.add_edge(from, to, cost);
//     G.add_edge(to, from, cost);  // TODO: if directed, remove this line
// }
//
// // calc min distance by G
// auto d = dijkstra(G, {start});
// cout << d[{goal}] << endl;  // 到達不可能ならd[goal] -> INF
// return 0;
// }

signed main() {
    int n,m,s,t;cin>>n>>m>>s>>t;
    s--;t--;

    Graph G1;
    Graph G2;

    rep(i, m){
        int u,v;cin>>u>>v;
        u--;v--;
        int a,b;cin>>a>>b;
        G1.add_edge(u, v, a);
        G1.add_edge(v, u, a);
        G2.add_edge(u, v, b);
        G2.add_edge(v, u, b);
    }

    auto d1 = dijkstra(G1, s);
    rep(i, n){
        dump(d1[i]);
    }
    auto d2 = dijkstra(G2, t);
    rep(i, n){
        dump(d2[i]);
    }

    vi ans(n, INF);
    rrep(i, n){
        // iが使える
        if (i<n-1) ans[i] = ans[i+1];
        chmin(ans[i], d1[i]+d2[i]);
    }
    rep(i, n){
        cout << (int)1e15 - ans[i] << endl;
    }

    return 0;
}


Measured memory_bytes: 32072