using System;
using System.IO;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;

namespace FertiLib.Contest.A
{
	static class Program
	{
		public static void Solve(Scanner cin)
		{
			var (n, m, s, t) = cin.ReadValue<int, int, int, int>();
			s--;
			t--;
			var (a, b, c, d) = cin.ReadValueArray<int, int, long, long>(m);
			for (int i = 0; i < m; i++)
			{
				a[i]--;
				b[i]--;
			}

			var connectedA = new List<List<(int p, long c)>>();
			for (int i = 0; i < n; i++)
			{
				connectedA.Add(new List<(int p, long c)>());
			}
			for (int i = 0; i < m; i++)
			{
				connectedA[a[i]].Add((b[i], c[i]));
				connectedA[b[i]].Add((a[i], c[i]));
			}

			var connectedB = new List<List<(int p, long c)>>();
			for (int i = 0; i < n; i++)
			{
				connectedB.Add(new List<(int p, long c)>());
			}
			for (int i = 0; i < m; i++)
			{
				connectedB[a[i]].Add((b[i], d[i]));
				connectedB[b[i]].Add((a[i], d[i]));
			}

			var fromA = Enumerable.Repeat(-1, n).ToList();
			var distA = Enumerable.Repeat(long.MaxValue, n).ToList();
			distA[s] = 0;
			var qA = new PriorityQueue<(int p, long d)>((x, y) => x.d.CompareTo(y.d));
			qA.Enqueue((s, 0));
			while (qA.Count > 0)
			{
				var (nowA, nowDistA) = qA.Dequeue();
				if (distA[nowA] != nowDistA) continue;
				foreach (var e in connectedA[nowA])
				{
					if (distA[e.p] > nowDistA + e.c)
					{
						distA[e.p] = nowDistA + e.c;
						fromA[e.p] = nowA;
						qA.Enqueue((e.p, nowDistA + e.c));
					}
				}
			}

			var fromB = Enumerable.Repeat(-1, n).ToList();
			var distB = Enumerable.Repeat(long.MaxValue, n).ToList();
			distB[t] = 0;
			var qB = new PriorityQueue<(int p, long d)>((x, y) => x.d.CompareTo(y.d));
			qB.Enqueue((t, 0));
			while (qB.Count > 0)
			{
				var (nowB, nowDistB) = qB.Dequeue();
				if (distB[nowB] != nowDistB) continue;
				foreach (var e in connectedB[nowB])
				{
					if (distB[e.p] > nowDistB + e.c)
					{
						distB[e.p] = nowDistB + e.c;
						fromB[e.p] = nowB;
						qB.Enqueue((e.p, nowDistB + e.c));
					}
				}
			}

			var list = new List<long>();
			for (int i = 0; i < n; i++)
			{
				list.Add(distA[i] + distB[i]);
			}

			long ans = long.MaxValue;
			var ansList = new List<long>();
			for (int i = n - 1; i >= 0; i--)
			{
				Chmin(ref ans, list[i]);
				ansList.Add(ans);
			}

			ansList.Reverse();
			foreach (var e in ansList)
			{
				Console.WriteLine(1000000000000000 - e);
			}
		}

		public static void Main(string[] args)
		{
			var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
			Console.SetOut(sw);
			var cin = new Scanner();
			Solve(cin);
			Console.Out.Flush();
		}

		public static void YESNO(bool condition) => Console.WriteLine(condition ? "YES" : "NO");
		public static void YesNo(bool condition) => Console.WriteLine(condition ? "Yes" : "No");
		public static void yesno(bool condition) => Console.WriteLine(condition ? "yes" : "no");

		public static bool Chmax<T>(ref T a, T b) where T : IComparable<T>
		{
			if (a.CompareTo(b) >= 0) return false;
			a = b;
			return true;
		}
		public static bool Chmin<T>(ref T a, T b) where T : IComparable<T>
		{
			if (a.CompareTo(b) <= 0) return false;
			a = b;
			return true;
		}
	}

	public class PriorityQueue<T> : IEnumerable<T>
	{
		private readonly List<T> heap;
		private readonly IComparer<T> comparer;

		public PriorityQueue(IComparer<T> comparer)
		{
			this.comparer = comparer;
			this.heap = new List<T>();
		}

		public PriorityQueue(Comparison<T> comparison) : this(Comparer<T>.Create(comparison)) { }

		public PriorityQueue() : this(Comparer<T>.Default) { }

		public void Enqueue(T item)
		{
			this.heap.Add(item);
			int index = this.Count - 1;
			while (index > 0)
			{
				var par = Parent(index);
				if (comparer.Compare(heap[index], heap[par]) >= 0) break;
				Swap(index, par);
				index = par;
			}
		}

		public T Dequeue()
		{
			var ret = this.Peek;
			var last = this.Count - 1;
			heap[0] = heap[last];
			heap.RemoveAt(last--);
			var index = 0;
			while (true)
			{
				var (r, l) = Child(index);
				int child;
				if (l <= last)
				{
					if (comparer.Compare(heap[l], heap[r]) < 0) child = l;
					else child = r;
				}
				else if (r <= last) child = r;
				else break;
				if (comparer.Compare(heap[index], heap[child]) <= 0) break;
				Swap(index, child);
				index = child;
			}
			return ret;
		}

		public T Peek => heap[0];

		public int Count => heap.Count;

		private void Swap(int a, int b)
		{
			var t = heap[a];
			heap[a] = heap[b];
			heap[b] = t;
		}

		private int Parent(int index) => (index - 1) / 2;

		private (int l, int r) Child(int index) => (2 * index + 1, 2 * index + 2);

		public IEnumerator<T> GetEnumerator()
		{
			var ret = new List<T>();
			while (this.Count > 0)
			{
				ret.Add(this.Dequeue());
			}

			for (int i = 0; i < ret.Count; i++)
			{
				this.Enqueue(ret[i]);
			}

			foreach (var e in ret)
			{
				yield return e;
			}
		}

		System.Collections.IEnumerator System.Collections.IEnumerable.GetEnumerator() => GetEnumerator();
	}

	static class Util
	{
		public static string Join<T>(this IEnumerable<T> x, string separator = "") => string.Join(separator, x);
	}

	class Scanner
	{
		string[] s;
		int i;

		char[] separator = new char[] { ' ' };

		public Scanner()
		{
			s = new string[0];
			i = 0;
		}

		public string Read() => ReadString();

		public string ReadString()
		{
			if (i < s.Length) return s[i++];
			string st = Console.ReadLine();
			while (st == "") st = Console.ReadLine();
			s = st.Split(separator, StringSplitOptions.RemoveEmptyEntries);
			if (s.Length == 0) return ReadString();
			i = 0;
			return s[i++];
		}

		public string[] ReadStringArray(int N)
		{
			string[] Array = new string[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadString();
			}
			return Array;
		}

		public int ReadInt()
		{
			return int.Parse(ReadString());
		}

		public int[] ReadIntArray(int N, int add = 0)
		{
			int[] Array = new int[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadInt() + add;
			}
			return Array;
		}

		public long ReadLong()
		{
			return long.Parse(ReadString());
		}

		public long[] ReadLongArray(int N, long add = 0)
		{
			long[] Array = new long[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadLong() + add;
			}
			return Array;
		}

		public double ReadDouble()
		{
			return double.Parse(ReadString());
		}

		public double[] ReadDoubleArray(int N, double add = 0)
		{
			double[] Array = new double[N];
			for (int i = 0; i < N; i++)
			{
				Array[i] = ReadDouble() + add;
			}
			return Array;
		}

		public T1 ReadValue<T1>() => (T1)Convert.ChangeType(ReadString(), typeof(T1));

		public (T1, T2) ReadValue<T1, T2>()
		{
			var inputs = ReadStringArray(2);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			return (v1, v2);
		}

		public (T1, T2, T3) ReadValue<T1, T2, T3>()
		{
			var inputs = ReadStringArray(3);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			return (v1, v2, v3);
		}

		public (T1, T2, T3, T4) ReadValue<T1, T2, T3, T4>()
		{
			var inputs = ReadStringArray(4);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			return (v1, v2, v3, v4);
		}

		public (T1, T2, T3, T4, T5) ReadValue<T1, T2, T3, T4, T5>()
		{
			var inputs = ReadStringArray(5);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			return (v1, v2, v3, v4, v5);
		}

		public (T1, T2, T3, T4, T5, T6) ReadValue<T1, T2, T3, T4, T5, T6>()
		{
			var inputs = ReadStringArray(6);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
			return (v1, v2, v3, v4, v5, v6);
		}

		public (T1, T2, T3, T4, T5, T6, T7) ReadValue<T1, T2, T3, T4, T5, T6, T7>()
		{
			var inputs = ReadStringArray(7);
			var v1 = (T1)Convert.ChangeType(inputs[0], typeof(T1));
			var v2 = (T2)Convert.ChangeType(inputs[1], typeof(T2));
			var v3 = (T3)Convert.ChangeType(inputs[2], typeof(T3));
			var v4 = (T4)Convert.ChangeType(inputs[3], typeof(T4));
			var v5 = (T5)Convert.ChangeType(inputs[4], typeof(T5));
			var v6 = (T6)Convert.ChangeType(inputs[5], typeof(T6));
			var v7 = (T7)Convert.ChangeType(inputs[6], typeof(T7));
			return (v1, v2, v3, v4, v5, v6, v7);
		}

		public T1[] ReadValueArray<T1>(int N)
		{
			var v1 = new T1[N];
			for (int i = 0; i < N; i++)
			{
				v1[i] = ReadValue<T1>();
			}
			return v1;
		}

		public (T1[], T2[]) ReadValueArray<T1, T2>(int N)
		{
			var (v1, v2) = (new T1[N], new T2[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2) = ReadValue<T1, T2>();
				v1[i] = t1;
				v2[i] = t2;
			}
			return (v1, v2);
		}

		public (T1[], T2[], T3[]) ReadValueArray<T1, T2, T3>(int N)
		{
			var (v1, v2, v3) = (new T1[N], new T2[N], new T3[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3) = ReadValue<T1, T2, T3>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
			}
			return (v1, v2, v3);
		}

		public (T1[], T2[], T3[], T4[]) ReadValueArray<T1, T2, T3, T4>(int N)
		{
			var (v1, v2, v3, v4) = (new T1[N], new T2[N], new T3[N], new T4[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4) = ReadValue<T1, T2, T3, T4>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
			}
			return (v1, v2, v3, v4);
		}

		public (T1[], T2[], T3[], T4[], T5[]) ReadValueArray<T1, T2, T3, T4, T5>(int N)
		{
			var (v1, v2, v3, v4, v5) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5) = ReadValue<T1, T2, T3, T4, T5>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
			}
			return (v1, v2, v3, v4, v5);
		}

		public (T1[], T2[], T3[], T4[], T5[], T6[]) ReadValueArray<T1, T2, T3, T4, T5, T6>(int N)
		{
			var (v1, v2, v3, v4, v5, v6) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5, t6) = ReadValue<T1, T2, T3, T4, T5, T6>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
				v6[i] = t6;
			}
			return (v1, v2, v3, v4, v5, v6);
		}

		public (T1[], T2[], T3[], T4[], T5[], T6[], T7[]) ReadValueArray<T1, T2, T3, T4, T5, T6, T7>(int N)
		{
			var (v1, v2, v3, v4, v5, v6, v7) = (new T1[N], new T2[N], new T3[N], new T4[N], new T5[N], new T6[N], new T7[N]);
			for (int i = 0; i < N; i++)
			{
				var (t1, t2, t3, t4, t5, t6, t7) = ReadValue<T1, T2, T3, T4, T5, T6, T7>();
				v1[i] = t1;
				v2[i] = t2;
				v3[i] = t3;
				v4[i] = t4;
				v5[i] = t5;
				v6[i] = t6;
				v7[i] = t7;
			}
			return (v1, v2, v3, v4, v5, v6, v7);
		}
	}
}


Measured memory_bytes: 72420