// G++ MACRO.CPP -STD=C++14
#include <bits/stdc++.h>
typedef long long ll;
const int INF = 1e9;
const int MOD = 1e9+7;
const ll LINF = 1e18;
using namespace std;

#define dump(x)  cout << #x << " = " << (x) << endl;
#define YES(n) cout << ((n) ? "YES" : "NO"  ) << endl
#define Yes(n) cout << ((n) ? "Yes" : "No"  ) << endl
#define POSSIBLE(n) cout << ((n) ? "POSSIBLE" : "IMPOSSIBLE"  ) << endl
#define Possible(n) cout << ((n) ? "Possible" : "Impossible"  ) << endl
#define possible(n) cout << ((n) ? "possible" : "impossible"  ) << endl

#define SANKOU(n,a,b) cout << ((n) ? (#a) : (#b) ) << endl

#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) for(int i=0;i<(n);++i)
#define REPR(i,n) for(int i=n;i>=0;i--)

#define FOREACH(x,a) for(auto& (x) : (a) )

#define WFA(d,v) REP(k,v)REP(i,v)REP(j,v)d[i][j]=min(d[i][j],d[i][k]+d[k][j])

#define SCOUT(x) cout<<(x)<<" "
#define ENDL cout<<endl

#define VECCIN(x) for(auto&youso_: (x) )cin>>youso_
#define VECIN2(x,y) REP(i,x.size())cin>>x[i]>>y[i]
#define VECCOUT(x) if(1){for(auto tt=x.begin();tt!=x.end();tt++){if(tt!=x.begin())cout<<" ";cout<<(*tt);}cout<<endl;}

#define ALL(obj) (obj).begin(),(obj).end()

#define EXIST(n,x) (find(ALL(n),x)!=n.end())
#define UNIQUE(obj) sort(ALL( obj )); obj.erase(unique(ALL(obj)),obj.end())
#define EN(x) if(1){cout<<#x<<endl;return 0;}
#define COUT(x) cout<<(x)<<endl
void CINT(){}
template <class Head,class... Tail>
void CINT(Head&& head,Tail&&... tail){
    cin>>head;
    CINT(move(tail)...);
}
#define CIN(...) int __VA_ARGS__;CINT(__VA_ARGS__)
#define LCIN(...) ll __VA_ARGS__;CINT(__VA_ARGS__)
#define SCIN(...) string __VA_ARGS__;CINT(__VA_ARGS__)

template <class T = ll>
T IN(){T x;cin>>x;return (x);}

template <class Head>
void VT(Head head){}
template <class Head,class Seco,class... Tail>
void VT(Head&& head,Seco&& seco,Tail&&... tail){
    seco.resize(head);
    VT(head,move(tail)...);
}
void VT2(){}
template <class Head,class... Tail>
void VT2(Head&& head,Tail&&... tail){
  VECCIN(head);
  VT2(move(tail)...);
}

template <class Head>
void VT3(Head&& head){}
template <class Head,class Seco,class... Tail>
void VT3(Head&& head,Seco&& seco,Tail&&... tail){
  seco[head]=IN();
  VT3(head,move(tail)...);
}

#define VC1(n,...) V __VA_ARGS__;VT(n,__VA_ARGS__);VT2(__VA_ARGS__); //aaabbbccc
#define VC2(n,...) V __VA_ARGS__;VT(n,__VA_ARGS__);REP(i,n)VT3(i,__VA_ARGS__); //abcabcabc

// #include <boost/multiprecision/cpp_int.hpp>
// using namespace boost::multiprecision; // cpp_int

#define P pair<int,int>
#define V vector<ll>
#define M map<ll,ll>
#define S set<ll>

#define pb(a) push_back(a)
#define mp make_pair

class Dijkstra{
public:
    Dijkstra(vector<vector<P>> ed,ll firs,ll pnum);
    void Solve();
    V range;// range[a]=b;
    vector<vector<P>> edges;// [a][b]=c;
    priority_queue<P,vector<P>,greater<P>> que;// queue=(range,poll);
    V keiro;
    V CalcRoute(ll startp,ll endp);
};

Dijkstra::Dijkstra(vector<vector<P>> ed,ll firs,ll pnum){
    edges=ed;
    V ttt(pnum,LINF);
    range=ttt;
    range[firs]=0;
    que.push(mp(0,firs));
    keiro=V(pnum);
    REP(i,pnum)keiro[i]=i;
}

void Dijkstra::Solve(){
    while(!que.empty()){
        P top_=que.top();
        que.pop();
        FOREACH(x,edges[top_.second]){
            if(range[x.first] > range[top_.second] + x.second){
                range[x.first] = range[top_.second] + x.second;
                que.push(mp(range[x.first],x.first));
                keiro[x.first] = top_.second;
            }
        }
    }
}

V Dijkstra::CalcRoute(ll startp,ll endp){
  V vec(1,endp);
  ll poll = endp;
  while(poll==startp){
    poll = keiro[poll];
    vec.pb(poll);
  }
  return vec;
}



int main(){
  CIN(n,m,s,t);
  vector<vector<P>> ed1(n);
  vector<vector<P>> ed2(n);
  REP(i,m){
    CIN(a,b,c,d);
    a--;b--;
    ed1[a].pb(mp(b,c));
    ed1[b].pb(mp(a,c));
    ed2[a].pb(mp(b,d));
    ed2[b].pb(mp(a,d));
  }
  Dijkstra dijk1(ed1,s-1, n);
  Dijkstra dijk2(ed2,t-1, n);
  dijk1.Solve();
  dijk2.Solve();
  ll ans = LINF;
  V anss;
  REPR(i,n-1){
    ans = min(ans, dijk1.range[i] + dijk2.range[i]);
    anss.pb((ll)1e15 - ans);
  }
  reverse(ALL(anss));
  FOREACH(xx,anss)COUT(
    xx);

  return 0;
}


Measured memory_bytes: 34560