5363: Mr. Kitayuta's Colorful Graph

内存限制:256 MB 时间限制:2 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:1 通过:1

题目描述

B. Mr. Kitayuta's Colorful Graph
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
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<bin) and ci (1≤cim). 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 ij, (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,vin). It is guaranteed that uivi.
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.
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.

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