Mr. Kitayuta has just bought an undirected graph consisting of n vertices and m edges. The vertices of the graph are numbered from 1 to n. Each edge, namely edge i, has a color ci, connecting vertex ai and bi.

Mr. Kitayuta wants you to process the following q queries.

In the i-th query, he gives you two integers — ui and vi.

Find the number of the colors that satisfy the following condition: the edges of that color connect vertex ui and vertex vi directly or indirectly.

Input

The first line of the input contains space-separated two integers — n and m (2 ≤ n ≤ 100, 1 ≤ m ≤ 100), denoting the number of the vertices and the number of the edges, respectively.

The next m lines contain space-separated three integers — ai, bi (1 ≤ ai < bi ≤ n) and ci (1 ≤ ci ≤ m). Note that there can be multiple edges between two vertices. However, there are no multiple edges of the same color between two vertices, that is, if i ≠ j, (ai, bi, ci) ≠ (aj, bj, cj).

The next line contains a integer — q (1 ≤ q ≤ 100), denoting the number of the queries.

Then follows q lines, containing space-separated two integers — ui and vi (1 ≤ ui, vi ≤ n). It is guaranteed that ui ≠ vi.

Output

For each query, print the answer in a separate line.

Examples

Input

4 5
1 2 1
1 2 2
2 3 1
2 3 3
2 4 3
3
1 2
3 4
1 4


Output

2
1
0


Input

5 7
1 5 1
2 5 1
3 5 1
4 5 1
1 2 2
2 3 2
3 4 2
5
1 5
5 1
2 5
1 5
1 4


Output

1
1
1
1
2

Note

Let's consider the first sample. 

<image> The figure above shows the first sample. 

  * Vertex 1 and vertex 2 are connected by color 1 and 2. 
  * Vertex 3 and vertex 4 are connected by color 3. 
  * Vertex 1 and vertex 4 are not connected by any single color. 
2 1
1 2 1
1
1 2
 2 3
1 2 3
1 2 2
1 2 1
1
1 2
 2 5
1 2 1
1 2 2
1 2 3
1 2 4
1 2 5
1
1 2

1
 3
 5

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.HashSet;
import java.util.StringTokenizer;

public class TB {
	
	static class Graph {
		HashSet<Integer> color=new HashSet<>();
	}
	public static void main(String[] args) {
		FastScanner in=new FastScanner();
		PrintWriter out=new PrintWriter(System.out);
		int i,j,n,m,a,b,c,q,u,v;
		n=in.nextInt();
		m=in.nextInt();
		Graph[][] g=new Graph[n+1][n+1];
		for(i=1;i<n+1;i++)
			for(j=1;j<n+1;j++)
				g[i][j]=new Graph();
		
		for(i=0;i<m;i++){
			a=in.nextInt();
			b=in.nextInt();
			c=in.nextInt();
			g[a][b].color.add(c);
			g[b][a].color.add(c);
		}
		q=in.nextInt();
		for(i=0;i<q;i++){
			u=in.nextInt();
			v=in.nextInt();
			boolean[] visited=new boolean[n+1];
			out.println(dfs(u, v, n, g, visited,null));
		}
		out.flush();
	}
	static int dfs(int u,int v,int n,Graph[][] g,boolean[] visited,HashSet<Integer> h){
		visited[u]=true;
		if(u==v){
			visited[v]=false;
			return h.size();
		}
		int res=0;
		for(int i=1;i<n+1;i++){
			if(i!=u&&!visited[i]&&g[u][i].color.size()>0){
				HashSet<Integer> a=checkColor(h,g[u][i].color);
				if(a.size()>0)
					res+=dfs(i, v, n, g, visited, a);
			}
		}
		return res;
	}
	static HashSet<Integer> checkColor(HashSet<Integer> h,HashSet<Integer> a){
		if(h==null){
			h=new HashSet<>();
			h.addAll(a);
			return h;
		}
		HashSet<Integer> b=new HashSet<>();
		for(int e:a)
			if(h.contains(e))
				b.add(e);
		return b;
	}
	static class FastScanner{
		BufferedReader br;
		StringTokenizer st;
		public FastScanner(){br=new BufferedReader(new InputStreamReader(System.in));}
		String nextToken(){
			while(st==null||!st.hasMoreElements())
				try{st=new StringTokenizer(br.readLine());}catch(Exception e){}
			return st.nextToken();
		}
		int nextInt(){return Integer.parseInt(nextToken());}
		long nextLong(){return Long.parseLong(nextToken());}
		double nextDouble(){return Double.parseDouble(nextToken());}
	}

}
