#include "bits/stdc++.h"

#define ALL(g) (g).begin(),(g).end()
#define REP(i, x, n) for(int i = x; i < n; i++)
#define rep(i,n) REP(i,0,n)
#define RREP(i, x, n) for(int i = x; i >= n; i--)
#define rrep(i, n) RREP(i,n,0)
#define pb push_back

using namespace std;

// #define DEBUG_IS_VALID

#ifdef DEBUG_IS_VALID
#define DEB 1 
#else
#define DEB 0
#endif
#define DUMPOUT cout
#define dump(...) if(DEB) DUMPOUT<<"  "<<#__VA_ARGS__<<" :["<<__LINE__<<":"<<__FUNCTION__<<"]"<<endl<<"    "; if(DEB) dump_func(__VA_ARGS__)
template<typename T1,typename T2>ostream& operator << (ostream& os, pair<T1,T2> p){cout << "(" << p.first << ", " << p.second << ")"; return os;}
template<typename T>ostream& operator << (ostream& os, vector<T>& vec) { os << "{"; for (int i = 0; i<vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : ", "); os << "}"; return os; }
template<typename T>ostream& operator << (ostream& os, set<T>& st){for(auto itr = st.begin(); itr != st.end(); itr++) cout << *itr << (next(itr)!=st.end() ? ", " : ""); cout << "}"; return os;}
template<typename T1,typename T2>ostream& operator << (ostream& os, map<T1,T2> mp){cout << "{"; for(auto itr = mp.begin(); itr != mp.end(); itr++) cout << "(" << (itr->first) << ", " << (itr->second) << ")" << (next(itr)!=mp.end() ? "," : ""); cout << "}"; return os; }

void dump_func(){DUMPOUT << endl;}
template <class Head, class... Tail>void dump_func(Head&& head, Tail&&... tail){ DUMPOUT << head; if (sizeof...(Tail) == 0) { DUMPOUT << " "; } else { DUMPOUT << ", "; } dump_func(std::move(tail)...);}
template<class T> inline void chmax(T& a,T const& b){a=max(a,b);}
template<class T> inline void chmin(T& a,T const& b){a=min(a,b);}

using ll = long long;
using P = pair<int,int>;
using Pl = pair<ll,ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using vl = vector<ll>;
using vvl = vector<vl>;

const int mod=1e9+7,INF=1<<30;
const double EPS=1e-12,PI=3.1415926535897932384626;
const ll lmod = 1e9+7,LINF=1LL<<60; 


template<typename T> T inf;
template<> constexpr int inf<int> = 1<<30;
template<> constexpr ll inf<ll> = 1LL<<60;
template<> constexpr double inf<double> = 1e30;

using Cost = ll;
using Node = int;
struct Edge{
  Cost cost; Node to;
  Edge(Cost cost,Node to)
    :cost(cost),to(to){}
};
using Graph = vector<vector<Edge>>;

vector<Cost> dijkstra
(Graph &graph, Node start, Cost zero = 0LL)
{
  using Pcn = pair<Cost,Node>;
  priority_queue<Pcn,vector<Pcn>,greater<Pcn>> que;
  vector<Cost> dist(graph.size(),inf<Cost>);
  dist[start] = zero;
  que.push(Pcn(zero,start));
  while(!que.empty()){
    Pcn p = que.top(); que.pop();
    Node v = p.second; //行き先
    if(dist[v] < p.first)  continue;
    for(Edge e : graph[v]){
      if(dist[v]+e.cost < dist[e.to]){
        dist[e.to] = dist[v]+e.cost;
        que.push(Pcn(dist[e.to],e.to));
      }
    }
  }
  return dist;
}

void add_edge(Graph& g,Node u,Node v,Cost d){
  g[u].pb(Edge(d,v)); g[v].pb(Edge(d,u));
}

int main(){
  cin.tie(0);
  ios::sync_with_stdio(false);
  int n,m,s,t; cin >> n >> m >> s >> t ;
  Graph g1(n),g2(n);
  rep(i,m){
    int u,v; ll a,b; cin >> u >> v >> a >> b ;
    u--; v--; add_edge(g1,u,v,a); add_edge(g2,u,v,b);
  }
  s--; t--;
  auto dist1 = dijkstra(g1,s);
  auto dist2 = dijkstra(g2,t);
  dump(dist1,dist2);
  vl d(n);
  rep(i,n) d[i] = dist1[i]+dist2[i];
  dump(d);
  RREP(i,n-2,0) d[i] = min(d[i+1],d[i]);
  rep(i,n) cout << ll(1e15) - d[i] << endl;
  return 0; 
}


Measured memory_bytes: 19016