Problem: Little girl Susie accidentally found her elder brother's notebook. She has many things to do, more important than solving problems, but she found this problem too interesting, so she wanted to know its solution and decided to ask you about it. So, the problem statement is as follows.

Let's assume that we are given a connected weighted undirected graph G = (V, E) (here V is the set of vertices, E is the set of edges). The shortest-path tree from vertex u is such graph G1 = (V, E1) that is a tree with the set of edges E1 that is the subset of the set of edges of the initial graph E, and the lengths of the shortest paths from u to any vertex to G and to G1 are the same. 

You are given a connected weighted undirected graph G and vertex u. Your task is to find the shortest-path tree of the given graph from vertex u, the total weight of whose edges is minimum possible.

Input

The first line contains two numbers, n and m (1 ≤ n ≤ 3·105, 0 ≤ m ≤ 3·105) — the number of vertices and edges of the graph, respectively.

Next m lines contain three integers each, representing an edge — ui, vi, wi — the numbers of vertices connected by an edge and the weight of the edge (ui ≠ vi, 1 ≤ wi ≤ 109). It is guaranteed that graph is connected and that there is no more than one edge between any pair of vertices.

The last line of the input contains integer u (1 ≤ u ≤ n) — the number of the start vertex.

Output

In the first line print the minimum total weight of the edges of the tree.

In the next line print the indices of the edges that are included in the tree, separated by spaces. The edges are numbered starting from 1 in the order they follow in the input. You may print the numbers of the edges in any order.

If there are multiple answers, print any of them.

Examples

Input

3 3
1 2 1
2 3 1
1 3 2
3


Output

2
1 2 


Input

4 4
1 2 1
2 3 1
3 4 1
4 1 2
4


Output

4
2 3 4 

Note

In the first sample there are two possible shortest path trees:

  * with edges 1 – 3 and 2 – 3 (the total weight is 3); 
  * with edges 1 – 2 and 2 – 3 (the total weight is 2); 



And, for example, a tree with edges 1 – 2 and 1 – 3 won't be a shortest path tree for vertex 3, because the distance from vertex 3 to vertex 2 in this tree equals 3, and in the original graph it is 1.

Solution (in JAVA):

Solution:
/*
 * To change this license header, choose License Headers in Project Properties.
 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */


import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator; 
import java.util.PriorityQueue;
import java.util.Scanner;
import java.util.TreeSet;

/**
 *
 * @author KANDARP
 */

public class E {
    static int V;
    static int E;
    static Edge parent[]; 
       static long label[];
      
    public static void main(String cd[]){
        
        Scanner in=new Scanner(System.in);
         V=in.nextInt();
         E=in.nextInt();
         boolean done[]=new boolean[V+1];
       
         ArrayList<Edge> adj[]=new ArrayList[V+1];
        parent=new Edge[V+1];
        label =new long[V+1];
        for(int i=0;i<V+1;i++){
            adj[i]=new ArrayList<>();
            label[i]=Long.MAX_VALUE;
           
        }
        boolean a=true;
        for(int i=0;i<E;i++){
            
            Integer u=in.nextInt();
            Integer v=in.nextInt();
            Integer weight=in.nextInt();
            Edge e=new Edge(u, v,weight ,i+1);
            adj[u].add(e);
            adj[v].add(e);
            if(weight!=1){
                a=false;
            }
            
        }
        Integer u=in.nextInt();
        
        label[u]=0L;
        parent[u]=new Edge(u, 0, 0, 0);
        TreeSet<Integer> q=new TreeSet<>(new Comparator<Integer>() {

            @Override
            public int compare(Integer o1, Integer o2) {
              //  throw new UnsupportedOperationException("Not supported yet."); //To change body of generated methods, choose Tools | Templates.
                       
                if(label[o1]!=label[o2]){
                    if(label[o1]>label[o2]){
                        //System.out.println("returned:"+1);
                    
                        return 1;
                        
                    }
                    else{
                      //0  System.out.println("returned:"+-1);
                    
                        return -1;
                    }
                }
                else{
                    return o1-o2;
                }
            }
        });
      /* PriorityQueue<Integer> q=new PriorityQueue<>(2*V+2,new Comparator<Integer>() {

            @Override
             public int compare(Integer o1, Integer o2) {
              //  throw new UnsupportedOperationException("Not supported yet."); //To change body of generated methods, choose Tools | Templates.
                if(label[o1]-label[o2]!=0)
                return (int)(label[o1]-label[o2]);
                else if(o1.intValue()==o2.intValue()){
                     
                    return 0;
                
                
                }
                else{
                    
                   
                    return parent[o1].weight-parent[o2].weight;
                   
                }
            }
        });*/
        label[u]=0;
       // System.out.println(Arrays.toString(label));
        for(int i=1;i<V+1;i++){
            q.add(i);
          //  System.out.println(i);
        }
        //System.out.println(q);
        while(!q.isEmpty()){
            int peek=q.first();
           // System.out.println(peek);
           // System.out.println(label[peek]);
           q.remove(q.first());
            
            // done[peek]=true;
            for(Edge e:adj[peek]){ 
                Integer v=e.other(peek);
                
                if(label[v]>label[peek]+e.weight){
                    if(q.contains(v)){
                        q.remove(v);
                       
                    }   
                    
                    label[v]=label[peek]+e.weight;
                    parent[v]=e;
                    
                    q.add(v);
                  
                }
                else if(label[v]==label[peek]+e.weight){
                    
                    //int pv=parent[v].other(v);
                    if(parent[v].weight>=e.weight){
                        parent[v]=e;
                        
                    }
                    
                }
            }
           
            
        }
        
        long sum=0;
        StringBuilder s=new StringBuilder();
        for(int i=1;i<V+1;i++){
            if(parent[i].weight!=0){
                
                sum+=parent[i].weight;
                
                s.append(parent[i].no).append(" ");
                
            }
            
        }
        System.out.println(sum);
        System.out.println(s);
        
    }
}
class Edge implements Comparable<Edge>{

    Integer u;
    Integer v;
    int weight;
    int no;
    public Edge(Integer u,Integer v,int weight,int no){
        this.u=u;
        this.v=v;
        this.weight=weight;
        this.no=no;
    }
    public int other(Integer vertex){
        if(vertex.intValue()==u.intValue())return v;
        return u;
    }
    @Override
    public int compareTo(Edge o) {
      //  throw new UnsupportedOperationException("Not supported yet."); //To change body of generated methods, choose Tools | Templates.
        return this.weight-o.weight;
    }
    
}