using System; using System.Collections; using System.Collections.Generic; namespace No160{ public class Program{ public static void Main(string[] args){ var sr = new StreamReader(Console.OpenStandardInput()); //--------------------------------- var N = sr.Next(); var M = sr.Next(); var S = sr.Next(); var G = sr.Next(); var dj = new Dijkstra(N); for(var i = 0; i < M; i++){ var A = sr.Next(); var B = sr.Next(); var C = sr.Next(); dj.AddEdge(A, B, C); dj.AddEdge(B, A, C); } var dist = dj.Solve(G); var res = new List(); var now = S; while(now != G){ res.Add(now); var next = int.MaxValue; foreach(var edge in dj.Adj[now]){ if(dist[now] == dist[edge.To] + edge.Cost){ next = Math.Min(next, edge.To); } } now = next; } res.Add(G); Console.WriteLine(string.Join(" ", res)); //--------------------------------- } } public class Edge{ public int To; public int Cost; } public class Node : IComparable{ public int Id; public int Cost; public int CompareTo(Node node){ return Math.Sign(Cost - node.Cost); } } public class Dijkstra{ public readonly List[] Adj; public Dijkstra(int v){ Adj = new List[v]; for(var i = 0; i < v; i++) Adj[i] = new List(); } public void AddEdge(int from, int to, int cost){ Adj[from].Add(new Edge{To = to, Cost = cost}); } public int[] Solve(int start){ var v = Adj.Length; var used = new bool[v]; var res = new int[v]; for(var i = 0; i < v; i++) res[i] = int.MaxValue; res[start] = 0; var pq = new PriorityQueue(); pq.Enqueue(new Node{Id = start, Cost = 0}); while(pq.Count > 0){ var stat = pq.Dequeue(); var from = stat.Id; used[from] = true; foreach(var edge in Adj[from]){ var to = edge.To; var cost = stat.Cost + edge.Cost; if(used[to] || cost >= res[to]) continue; res[to] = cost; pq.Enqueue(new Node{Id = to, Cost = cost}); } } return res; } } public class PriorityQueue : IEnumerable where T : IComparable{ private readonly List _list = new List(); public int Count => _list.Count; IEnumerator IEnumerable.GetEnumerator(){ return _list.GetEnumerator(); } IEnumerator IEnumerable.GetEnumerator(){ return _list.GetEnumerator(); } public void Clear(){ _list.Clear(); } public bool Contains(T value){ return _list.Contains(value); } public T Peek(){ return _list[0]; } public void Enqueue(T value){ _list.Add(value); PushHeap(); } public T Dequeue(){ var ret = _list[0]; _list[0] = _list[Count - 1]; _list.RemoveAt(Count - 1); PopHeap(); return ret; } private void PushHeap(){ var i = Count - 1; while(i != 0){ var p = (i - 1) / 2; if(_list[i].CompareTo(_list[p]) > 0) return; SwapIndex(i, i = p); } } private void PopHeap(){ var i = 0; while(true){ var l = 2 * i + 1; var r = l + 1; var maxi = i; if(l < Count && _list[maxi].CompareTo(_list[l]) > 0) maxi = l; if(r < Count && _list[maxi].CompareTo(_list[r]) > 0) maxi = r; if(maxi == i) return; SwapIndex(i, i = maxi); } } private void SwapIndex(int left, int right){ var tmp = _list[left]; _list[left] = _list[right]; _list[right] = tmp; } } public class StreamReader{ private readonly char[] _c = {' '}; private int _index = -1; private string[] _input = new string[0]; private readonly System.IO.StreamReader _sr; public StreamReader(System.IO.Stream st){ _sr = new System.IO.StreamReader(st); } public T Next(){ if(_index == _input.Length - 1){ _index = -1; while(true){ string rl = _sr.ReadLine(); if(rl == null){ if(typeof(T).IsClass) return default(T); return (T)typeof(T).GetField("MinValue").GetValue(null); } if(rl != ""){ _input = rl.Split(_c, StringSplitOptions.RemoveEmptyEntries); break; } } } return (T)Convert.ChangeType(_input[++_index], typeof(T), System.Globalization.CultureInfo.InvariantCulture); } public T[] Next(int x){ var ret = new T[x]; for(var i = 0; i < x; ++i) ret[i] = Next(); return ret; } public T[][] Next(int y, int x){ var ret = new T[y][]; for(var i = 0; i < y; ++i) ret[i] = Next(x); return ret; } } }