#include <vector>
#include <iostream>
#include <cmath>
#include <map>
#include <unordered_map>
#include <algorithm>
#include <fstream>
#include <unistd.h>
#include <string>
#include <numeric>
#include <queue>
#include <deque>
#include <sstream>
#include <iomanip>
#include <set>
#include <stack>
#include <cassert>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<vvl> vvvl;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;
typedef vector<vvb> vvvb;
typedef vector<vvvb> vvvvb;
typedef vector<string> vs;
typedef vector<vector<string>> vvs;
typedef vector<char> vc;
typedef vector<vector<char>> vvc;
typedef vector<double> vd;
typedef vector<vd> vvd;
typedef vector<vvd> vvvd;
typedef pair<int, int> P;
typedef pair<ll, ll> PL;
typedef vector<P> vp;
typedef vector<PL> vpl;
typedef vector<vector<P>> vvp;
typedef vector<vector<PL>> vvpl;
const int INF = 1001001001;
const ll LINF = 1e16;
const double pi = 3.1415926535897932;
const string endstr = "\n";
#define FOR(i, a, b) for(ll i = (a); i < b; i++)
#define RFOR(i, a, b) for(ll i = (a); i > b; i--)
#define REP(i, n) for(ll i = 0; i < n; i++)
#define RREP(i, n) for(ll i = n-1; i > -1; i--)
#define FORMAP(it, m) for(auto it = m.begin(); it != m.end(); it++)
#define ff first
#define ss second
#define pb push_back
#define epb emplace_back

template <typename T>
T gcd(T a, T b) {
    return (a == 0) ? b : gcd(b%a, a);
}
template <typename T>
T lcm(T a, T b) {
    return a / gcd(a, b) * b;
}

bool p_comp_fs(const PL p1, const PL p2){ return p1.first < p2.first;};
bool p_comp_fg(const PL p1, const PL p2){ return p1.first > p2.first;};
bool p_comp_ss(const PL p1, const PL p2){ return p1.second < p2.second;};
bool p_comp_sg(const PL p1, const PL p2){ return p1.second > p2.second;};
template <typename T>
vector<T> uniquen(vector<T> vec){
    vec.erase(unique(vec.begin(), vec.end()), vec.end());
    return vec;
}

struct edge {ll to, jpy, snu;};

int main(){
    ll N, M, s, t; cin >> N >> M >> s >> t; s--; t--;
    const ll mx = 1e5+100;
    vector<edge> ed[mx];
    REP(i, M){
        ll u, v, a, b; cin >> u >> v >> a >> b; u--; v--;
        ed[u].pb({v, a, b});
        ed[v].pb({u, a, b});
    }
    
    vl dist_jpy(N, LINF);
    priority_queue<PL,vector<PL>, greater<PL>> q;
    dist_jpy[s] = 0; q.push({0,s});
    while(!q.empty()){
        auto qq = q.top(); q.pop();
        ll now = qq.ss, dist = qq.ff;
        if(dist > dist_jpy[now]) continue;
        for(auto e : ed[now]){
            if(dist_jpy[e.to] > dist + e.jpy){
                dist_jpy[e.to] = dist + e.jpy;
                q.push({dist_jpy[e.to], e.to});
            }
        }
    }
    
    vl dist_snu(N, LINF);
    priority_queue<PL,vector<PL>, greater<PL>> qs;
    dist_snu[t] = 0; qs.push({0,t});
    while(!qs.empty()){
        auto qq = qs.top(); qs.pop();
        ll now = qq.ss, dist = qq.ff;
        if(dist > dist_snu[now]) continue;
        for(auto e : ed[now]){
            if(dist_snu[e.to] > dist + e.snu){
                dist_snu[e.to] = dist + e.snu;
                qs.push({ dist_snu[e.to], e.to});
            }
        }
    }
    
    multimap<ll, ll> ans;
    REP(x, N){
        ll d = dist_jpy[x] + dist_snu[x];
        ans.emplace(d, x+1);
    }
    ll year = 0;
    while(year < N){
        ll dist = 1e15 - ans.begin()->ff;
        ll ye = ans.begin()->ss;
        ans.erase(ans.begin());
        while(year < ye){
            cout << dist << endstr;
            year++;
        }
    }
    return 0;
}


Measured memory_bytes: 19448