/*
    Author:zeke
    
    pass System Test!
    GET AC!!
*/
#include <iostream>
#include <queue>
#include <vector>
#include <iostream>
#include <vector>
#include <string>
#include <cassert>
#include <algorithm>
#include <functional>
#include <cmath>
#include <queue>
#include <set>
#include <stack>
#include <deque>
#include <map>
#include <iomanip>
#include <utility>
#include <stack>
#include <bitset>
using ll = long long;
using ld = long double;
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define all(x) (x).begin(), (x).end()
#define rep3(var, min, max) for (ll(var) = (min); (var) < (max); ++(var))
#define repi3(var, min, max) for (ll(var) = (max)-1; (var) + 1 > (min); --(var))
#define Mp(a, b) make_pair((a), (b))
#define F first
#define S second
#define Icin(s) \
    ll(s);      \
    cin >> (s);
#define Scin(s) \
    ll(s);      \
    cin >> (s);
template <class T>
bool chmax(T &a, const T &b)
{
    if (a < b)
    {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T &a, const T &b)
{
    if (b < a)
    {
        a = b;
        return 1;
    }
    return 0;
}
typedef pair<ll, ll> P;
typedef vector<ll> V;
typedef vector<V> VV;
typedef vector<P> VP;
ll mod = 1e9 + 7;
ll MOD = 1e9 + 7;
ll INF = 1e18;

typedef ll Weight;
struct Edge
{ //src:辺の始点,dst:辺の終点,weight:辺の重さ
    int src, dst;
    Weight weight;
    Edge(int src, int dst, Weight weight) : src(src), dst(dst), weight(weight) {}
};
bool operator<(const Edge &e, const Edge &f)
{
    return e.weight != f.weight ? e.weight > f.weight : //辺は重さが重いものを"小さい"と定義する
               e.src != f.src ? e.src < f.src : e.dst < f.dst;
}
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;
//引数 g:隣接リスト,s:始点,dist:各頂点までの距離が入る,prev:最短路木の親頂点が入る
//戻値 なし
void shortestPath(const Graph &g, int s, vector<Weight> &dist, vector<int> &prev)
{
    int n = g.size();
    dist.assign(n, INF);
    dist[s] = 0;
    prev.assign(n, -1);
    priority_queue<Edge> Q;
    Q.push(Edge(-2, s, 0));
    while (!Q.empty())
    {
        Edge e = Q.top();
        Q.pop();
        if (prev[e.dst] != -1)
            continue;
        prev[e.dst] = e.src;
        for (auto f = g[e.dst].begin(); f != g[e.dst].end(); f++)
        {
            if (dist[f->dst] > e.weight + f->weight)
            {
                dist[f->dst] = e.weight + f->weight;
                Q.push(Edge(f->src, f->dst, e.weight + f->weight));
            }
        }
    }
}

//引数 prev:最短路木の親頂点集合,t:終点
//戻値 path:sからtへの最短経路
vector<int> buildPath(const vector<int> &prev, int t)
{
    vector<int> path;
    for (int u = t; u >= 0; u = prev[u])
        path.push_back(u);
    reverse(path.begin(), path.end());
    return path;
}
/*int main()
{
    // ...
    Graph g(v); //頂点数vの空隣接リストgを生成
    // ...
    g[s].push_back(Edge(s, t, w)); //隣接リストgにsからtに向かう重さwの辺を追加
    // ...
    vector<Weight> dist;
    vector<int> prev;
    shortestPath(g, 0, dist, prev);
    // ...
}*/
int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll n, m, s, t;
    cin >> n >> m >> s >> t;
    Graph g1(n);
    Graph g2(n);
    rep(i, m)
    {
        ll u, v, a, b;
        cin >> u >> v >> a >> b;
        u--;
        v--;
        g1[u].push_back(Edge(u, v, a));
        g1[v].push_back(Edge(v, u, a));
        g2[u].push_back(Edge(u, v, b));
        g2[v].push_back(Edge(v, u, b));
    }
    vector<Weight> dist1;
    vector<int> prev1;
    shortestPath(g1, s-1, dist1, prev1);
    vector<Weight> dist2;
    vector<int> prev2;
    shortestPath(g2, t-1, dist2, prev2);
    V res(n);
    res[0] = dist1[n - 1] + dist2[n - 1];
    rep3(i,1,n){
        res[i] = min(res[i - 1], dist1[n - 1 - i] + dist2[n - 1 - i]);
    }
    reverse(all(res));
    for(auto i:res){
        cout <<setprecision(20)<< 1e15 - i << endl;
    }
}


Measured memory_bytes: 19784