using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Runtime.CompilerServices;
using System.Text;
using static Template;
using static System.Console;
using static System.Convert;
using static System.Math;
using Pi = Pair<int, int>;
using Number = System.Int64;

class Solver
{
    public void Solve()
    {
        int num, m, s, t;
        Input.Make(out num, out m, out s, out t); s--; t--;
        var kedge = new Dijkstra(num);
        var yedge = new Dijkstra(num);
        for (var i = 0; i < m; i++)
        {
            int a, b, y, k;
            Input.Make(out a, out b, out y, out k);
            a--; b--;
            kedge.AddEdge(a, b, k);
            kedge.AddEdge(b, a, k);
            yedge.AddEdge(a, b, y);
            yedge.AddEdge(b, a, y);
        }
        var kdist = kedge.Execute(t);
        var ydist = yedge.Execute(s);
        var inf = (long)1e15;
        var res = new long[num]; var min = 0L;
        for (var i = num - 1; i >= 0; i--)
        {
            chmax(ref min, inf - kdist[i] - ydist[i]);
            res[i] = min;
        }
        WriteLine(string.Join("\n", res));
    }
}

class Dijkstra
{
    private int num;
    private List<Edge>[] edges;
    public Dijkstra(int num)
    { this.num = num; edges = Create(num, () => new List<Edge>()); }
    public void AddEdge(int from, int to, Number weight)
        => edges[from].Add(new Edge(to, weight));
    public Number[] Execute(int st = 0)
    {
        var dist = Create(num, () => Number.MaxValue);
        var pq = new DataStructure.RadixHeap<int>();
        pq.Push(0, st);
        dist[st] = 0;
        while (pq.Any())
        {
            var p = pq.Pop();
            if (p.v1 > dist[p.v2]) continue;
            foreach (var e in edges[p.v2])
                if (chmin(ref dist[e.to], e.cost + p.v1))
                    pq.Push(dist[e.to], e.to);
        }
        return dist;
    }

    struct Edge : IComparable<Edge>
    {
        public int to;
        public Number cost;
        public Edge(int to, Number cost)
        { this.to = to; this.cost = cost; }
        public int CompareTo(Edge e)
            => cost.CompareTo(e.cost);
    }
}
#region RadixHeap
namespace DataStructure
{
    using C = System.Int64;
    public class RadixHeap<T>
    {
        public int Count { get; set; }
        private C last;
        private List<Pair<C, T>>[] v;
        private int len;
        public RadixHeap()
        {
            len = Convert.ToString(C.MaxValue, 2).Length;
            v = Enumerable.Repeat(0, len + 2).Select(_ => new List<Pair<C, T>>()).ToArray();
        }
        private int GetBit(C a)
        {
            for (var i = len; i >= 0; i--)
                if ((1 & a >> i) == 1)
                    return i + 1;
            return 0;
        }
        public void Push(Pair<C, T> p)
            => Push(p.v1, p.v2);
        /// <summary>
        /// last(=最後にpopしたもののkey)以上のkeyについて(key,value)をpushします
        /// </summary>
        /// <param name="key"></param>
        /// <param name="value"></param>
        public void Push(C key, T value)
        {
            Count++;
            v[GetBit(key ^ last)].Add(new Pair<C, T>(key, value));
        }
        public Pair<C, T> Pop()
        {
            if (v[0].Count == 0)
            {
                var ind = 1;
                while (v[ind].Count == 0) ind++;
                var min = C.MaxValue;
                foreach (var p in v[ind])
                    chmin(ref min, p.v1);
                last = min;
                foreach (var p in v[ind])
                    v[GetBit(p.v1 ^ last)].Add(p);
                v[ind].Clear();
            }
            Count--;
            var ret = v[0].Last();
            v[0].RemoveAt(v[0].Count - 1);
            return ret;
        }
        public bool Any() => Count > 0;
    }

    public struct Pair<T1, T2>
    {
        public T1 v1;
        public T2 v2;
        public Pair(T1 v1,T2 v2)
        { this.v1 = v1;this.v2 = v2; }
    }
}
#endregion
#region Template
public class Template
{
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static bool chmin<T>(ref T num, T val) where T : IComparable<T>
    { if (num.CompareTo(val) == 1) { num = val; return true; } return false; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static bool chmax<T>(ref T num, T val) where T : IComparable<T>
    { if (num.CompareTo(val) == -1) { num = val; return true; } return false; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void swap<T>(ref T v1, ref T v2)
    { var t = v2; v2 = v1; v1 = t; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static T[] Create<T>(int n, Func<T> f)
        => Enumerable.Repeat(0, n).Select(_ => f()).ToArray();
    public static void Fail() => Fail("No");
    public static void Fail<T>(T s) { Console.WriteLine(s); Console.Out.Close(); Environment.Exit(0); }
    static void Main(string[] args)
    {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);
        var p = new Solver();
        for (var i = 1; i > 0; --i)
            p.Solve();
        Console.Out.Flush();
    }
}

public class Input
{
    public static string read => Console.ReadLine().Trim();
    public static int[] ar => read.Split(' ').Select(int.Parse).ToArray();
    public static int num => Convert.ToInt32(read);
    public static long[] arL => read.Split(' ').Select(long.Parse).ToArray();
    public static long numL => Convert.ToInt64(read);
    public static char[][] grid(int h)
        => Create(h, () => read.ToCharArray());
    public static int[] ar1D(int n)
        => Create(n, () => num);
    public static long[] arL1D(int n)
        => Create(n, () => numL);
    public static string[] strs(int n)
        => Create(n, () => read);
    public static int[][] ar2D(int n)
        => Create(n, () => ar);
    public static long[][] arL2D(int n)
        => Create(n, () => arL);
    public static List<T>[] edge<T>(int n)
        => Create(n, () => new List<T>());
    public static void Make<T1, T2>(out T1 v1, out T2 v2)
    {
        v1 = Next<T1>();
        v2 = Next<T2>();
    }
    public static void Make<T1, T2, T3>(out T1 v1, out T2 v2, out T3 v3)
    {
        Make(out v1, out v2);
        v3 = Next<T3>();
    }
    public static void Make<T1, T2, T3, T4>(out T1 v1, out T2 v2, out T3 v3, out T4 v4)
    {
        Make(out v1, out v2, out v3);
        v4 = Next<T4>();
    }
    public static void Make<T1, T2, T3, T4, T5>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5)
    {
        Make(out v1, out v2, out v3, out v4);
        v5 = Next<T5>();
    }
    public static void Make<T1, T2, T3, T4, T5, T6>(out T1 v1, out T2 v2, out T3 v3, out T4 v4, out T5 v5, out T6 v6)
    {
        Make(out v1, out v2, out v3, out v4, out v5);
        v6 = Next<T6>();
    }
    static Input()
    {
        sc = new Queue<string>();
        dic = new Dictionary<Type, Func<string, object>>();
        dic[typeof(int)] = s => int.Parse(s);
        dic[typeof(long)] = s => long.Parse(s);
        dic[typeof(char)] = s => char.Parse(s);
        dic[typeof(double)] = s => double.Parse(s);
        dic[typeof(uint)] = s => uint.Parse(s);
        dic[typeof(ulong)] = s => ulong.Parse(s);
        dic[typeof(string)] = s => s;
    }
    private static Dictionary<Type, Func<string, object>> dic;
    private static Queue<string> sc;
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static T Next<T>() { if (sc.Count == 0) foreach (var item in read.Split(' ')) sc.Enqueue(item); return (T)dic[typeof(T)](sc.Dequeue()); }
    public const int MOD = 1000000007;
}

public class Pair<T1, T2> : IComparable<Pair<T1, T2>>
{
    public T1 v1;
    public T2 v2;
    public Pair() { v1 = default(T1);v2 = default(T2); }
    public Pair(T1 v1, T2 v2)
    { this.v1 = v1; this.v2 = v2; }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public int CompareTo(Pair<T1, T2> p)
    {
        var c = Comparer<T1>.Default.Compare(v1, p.v1);
        if (c == 0)
            c = Comparer<T2>.Default.Compare(v2, p.v2);
        return c;
    }
    public override string ToString()
        => $"{v1.ToString()} {v2.ToString()}";
}

public class Pair<T1, T2, T3> : Pair<T1, T2>, IComparable<Pair<T1, T2, T3>>
{
    public T3 v3;
    public Pair() : base() { v3 = default(T3); }
    public Pair(T1 v1, T2 v2, T3 v3) : base(v1, v2)
    { this.v3 = v3; }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public int CompareTo(Pair<T1, T2, T3> p)
    {
        var c = base.CompareTo(p);
        if (c == 0)
            c = Comparer<T3>.Default.Compare(v3, p.v3);
        return c;
    }
    public override string ToString()
        => $"{base.ToString()} {v3.ToString()}";
}
#endregion


Measured memory_bytes: 67000