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

template <typename A, typename B>
string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string& s) {
  return '"' + s + '"';
}

string to_string(const char* s) {
  return to_string((string) s);
}

string to_string(bool b) {
  return (b ? "true" : "false");
}

string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}

template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}

template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}

template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)

#define rep(i,n) for (int i = 0; i < n; ++i)
#define reps(i,s,n) for (int i = s; i < n; ++i)
#define rep1(i,n) for (int i = 1; i <= n; ++i)
#define per(i,n) for (int i = n - 1; i >= 0; --i)
#define per1(i,n) for (int i = n; i >= 1; --i)
#define all(c) begin(c),end(c)
template<typename T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<typename T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<typename T> inline T intceil(T a, T b) { return (a + (b - 1)) / b; }
typedef long long ll;
typedef long double ld;
typedef pair<int,int> P;
typedef tuple<int,int,int> Tint;
typedef pair<ll,ll> PL;
const long long MOD = 1e9+7;
#define precout() cout << std::fixed << std::setprecision(20);
#define print(a) cout << a << endl;
template<typename T> void printv(vector<T>&v) {
    int n = v.size() - 1;
    rep(i, n) cout << v[i] << " ";
    cout << v.back() << endl;
}
const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const int dy[4] = { 0, 1, 0, -1 };
const int dx[4] = { 1, 0, -1, 0 };
// if(nextH >= 0 && nextH < H && nextW >= 0 && nextW < W)
static const long double pi = acos(-1.0);
typedef complex<ld> cd;

struct Edge {
    int to;
    long long weight;
    Edge(int t, long long w) : to(t), weight(w) { }
};
struct Point {
    long long cost;
    int pos;
    Point(long long cost, int pos) : cost(cost), pos(pos) { }
};
using Graph = vector<vector<Edge>>;
using Dist = vector<long long>;

Dist Dijkstra(Graph& G, int s) {
    Dist dist(G.size(), -1);
    priority_queue<PL, vector<PL>, greater<PL>> pq;
    // auto compare = [](Point& a, Point& b) {
    //     return a.cost < b.cost;
    // };
    // priority_queue<Point, vector<Point>, decltype(compare)> pq(compare);

    dist[s] = 0;
    pq.push(PL(0, s));

    while (!pq.empty()) {
        PL cur = pq.top(); pq.pop();
        if(dist[cur.second] < cur.first) continue;

        for(auto& nextEdge : G[cur.second]) {
            long long nextCost = cur.first + nextEdge.weight;
            if(dist[nextEdge.to] == -1 || dist[nextEdge.to] > nextCost) {
                dist[nextEdge.to] = nextCost;
                pq.push(PL(nextCost, nextEdge.to));
            }
        }
    }

    return dist;
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    int N,M,S,T; cin >> N >> M >> S >> T;
    --S, --T;

    Graph yenG(N), snookG(N);
    rep(i, M) {
        int a,b,c,d; cin >> a >> b >> c >> d;
        --a, --b;
        yenG[a].push_back(Edge(b, c));
        yenG[b].push_back(Edge(a, c));
        snookG[a].push_back(Edge(b, d));
        snookG[b].push_back(Edge(a, d));
    }

    Dist yenDist = Dijkstra(yenG, S);
    Dist snookDist = Dijkstra(snookG, T);

    // debug(yenDist);
    // debug(snookDist);

    vector<long long> ans(N);
    ans[N - 1] = yenDist[N - 1] + snookDist[N - 1];
    for(int i = N - 2; i >= 0; --i) {
        ans[i] = min(ans[i + 1], yenDist[i] + snookDist[i]);
    }

    for(auto&a:ans) {
        print((ll)1e15 - a);
    }
}


Measured memory_bytes: 21140