using System;
using System.Collections.Generic;
using static Assistant.Input;
using static Assistant.Debug;
using System.Linq;
using Assistant;
using System.Text;

namespace SoundHound2018MasterD
{
    class Program
    {
        static void Main(string[] args)
        {
            var N = RInt;
            var M = RInt;
            var s = RInt - 1;
            var t = RInt - 1;

            var edges = new List<int>[N].Select(x => new List<int>()).ToArray();
            var costYen = new List<long>[N].Select(x => new List<long>()).ToArray();
            var costSnu = new List<long>[N].Select(x => new List<long>()).ToArray();
            for (int i = 0; i < M; i++)
            {
                var u = RInt - 1;
                var v = RInt - 1;
                var a = RLong;
                var b = RLong;

                edges[u].Add(v);
                edges[v].Add(u);
                costYen[u].Add(a);
                costYen[v].Add(a);
                costSnu[u].Add(b);
                costSnu[v].Add(b);
            }

            var distYen = BFS(s, N, edges, costYen);
            var distSnu = BFS(t, N, edges, costSnu);

            long[] ans = new long[N];
            for (int i = N - 1; i >= 0; i--)
            {
                long cand = 1000000000000000 - (distYen[i] + distSnu[i]);
                if (i < N - 1) ans[i] = Math.Max(ans[i + 1], cand);
                else ans[i] = cand;
            }

            StringBuilder sb = new StringBuilder();
            for (int i = 0; i < N; i++)
            {
                sb.AppendLine(ans[i].ToString());
            }

            Console.Write(sb);
        }

        //幅優先探索
        static long[] BFS(int s, int N, List<int>[] edges, List<long>[] costs)
        {
            Queue<int> que = new Queue<int>();
            que.Enqueue(s);
            long[] distance = new long[N].Select(x => long.MaxValue).ToArray();
            distance[s] = 0;

            while (que.Count > 0)
            {
                int q = que.Dequeue();

                for (int i = 0; i < edges[q].Count; i++)
                {
                    var to = edges[q][i];
                    var cost = costs[q][i];
                    var dis = distance[q] + cost;//コストの加算
                    if (distance[to] > dis)
                    {
                        distance[to] = dis;
                        que.Enqueue(to);
                    }
                }
            }
            return distance;
        }
    }


}

namespace Assistant
{
    static class Input
    {
        static List<string> line = new List<string>();
        static int index = 0;
        static String RNext()
        {
            if (line.Count <= index) line.AddRange(Console.ReadLine().Split());
            return line[index++];
        }
        public static int RInt => int.Parse(RNext());
        public static long RLong => long.Parse(RNext());
        public static int[] RInts => Console.ReadLine().Split().Select(int.Parse).ToArray();
        public static long[] RLongs => Console.ReadLine().Split().Select(long.Parse).ToArray();
        public static string RString => RNext();
        //以下未テスト
        public static int[] RIntsC(int c) => Enumerable.Repeat(0, c).Select(x => int.Parse(RNext())).ToArray();
        public static long[] RLongsC(int c) => Enumerable.Repeat(0, c).Select(x => long.Parse(RNext())).ToArray();
        public static char[][] RMap(int h) => Enumerable.Repeat(0, h).Select(x => Console.ReadLine().ToCharArray()).ToArray();
    }

    public struct Mlong
    {
        long _v;
        const long mod = 1000000007;
        public Mlong(long n = 0) : this() { _v = n >= mod ? n % mod : n; }

        public static implicit operator Mlong(long _x) => new Mlong(_x);
        public static implicit operator long(Mlong _x) => _x._v;
        public static Mlong operator +(Mlong m1, Mlong m2) { long m = m1._v + m2._v; return m >= mod ? m - mod : m; }
        public static Mlong operator -(Mlong m1, Mlong m2) { long m = m1._v - m2._v; return m >= 0 ? m : m + mod; }
        public static Mlong operator *(Mlong m1, Mlong m2) => m1._v * m2._v % mod;
        public static Mlong operator /(Mlong m1, Mlong m2) => m1._v * ModPow(m2._v, mod - 2) % mod;

        public static long ModPow(long a, long n)
        {
            if (n == 0) return 1;
            else if (n % 2 == 1) return a * ModPow(a, n - 1) % mod;
            else return ModPow(a * a % mod, n / 2);
        }

        static Mlong[] fac, finv, inv;
        public static void nCkInit(int max)
        {
            fac = new Mlong[max]; finv = new Mlong[max]; inv = new Mlong[max];
            fac[0] = fac[1] = 1;
            finv[0] = finv[1] = 1;
            inv[1] = 1;
            for (int i = 2; i < max; i++)
            {
                fac[i] = fac[i - 1] * i;
                inv[i] = mod - inv[mod % i] * (mod / i);
                finv[i] = finv[i - 1] * inv[i];
            }
        }

        public static Mlong nCk(int n, int k)
        {
            if (n < k) return 0;
            if (n < 0 || k < 0) return 0;
            return fac[n] * finv[k] * finv[n - k];
        }
    }

    static class Debug
    {
        static public void Draw2D<T>(T[,] map, int mode = 1)
        {
#if DEBUG
            int W = map.GetLength(0);
            int H = map.GetLength(1);

            string[,] map2 = new string[W + 1, H + 1];
            for (int i = 0; i < W + 1; i++)
            {
                for (int j = 0; j < H + 1; j++)
                {
                    if (i == 0 && j == 0) map2[i, j] = 0.ToString();
                    else if (i == 0) map2[i, j] = (j - 1).ToString();
                    else if (j == 0) map2[i, j] = (i - 1).ToString();
                    else map2[i, j] = map[i - 1, j - 1].ToString();
                }
            }

            for (int i = 0; i < W + 1; i++)
            {
                for (int j = 0; j < H + 1; j++)
                {
                    if (mode == 0) Console.Write(map2[i, j].Last());
                    if (mode == 1) Console.Write(map2[i, j] + " ");
                }
                Console.WriteLine();
            }
            Console.WriteLine();
#endif
        }

        public static void Draw1D<T>(T[] array, int mode = 0)
        {
#if DEBUG
            Console.WriteLine(string.Join(" ", array));
#endif
        }
    }
}


Measured memory_bytes: 107476