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Codeforces Round #286 (Div. 2) B. Mr. Kitayuta's Colorful Graph +foyd算法的应用

时间:2015-01-22 11:11:45      阅读:249      评论:0      收藏:0      [点我收藏+]

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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 — aibi (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.

Sample test(s)
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.

技术分享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.
解决方案:题目求的是先建立一个图,有很多种不同颜色的边,每次询问两条边的不同颜色的路径的个数。由此联想的floyd算法,可以枚举边的颜色,求每种颜色的最短路,然后在统计不同颜色的最短路的个数。
code:
<pre name="code" class="cpp">#include <iostream>
#include<cstdio>
#include<cstring>
using namespace std;
int Mat[102][102][102];
int main()
{
    int n,m;
    while(~scanf("%d%d",&n,&m))
    {
        memset(Mat,0,sizeof(Mat));
        for(int i=1; i<=m; i++)
        {
            int a,b,c;
            scanf("%d%d%d",&a,&b,&c);
            Mat[a][b][c]=1;
            Mat[b][a][c]=1;
        }
        for(int c=1;c<=m;c++){
            for(int k=1;k<=n;k++){
                for(int i=1;i<=n;i++)
                for(int j=1;j<=n;j++){
                    if(Mat[i][k][c]&&Mat[k][j][c]){
                        Mat[i][j][c]=1;
                        Mat[j][i][c]=1;
                    }
                }
            }
        }
        int q;
        scanf("%d",&q);
        for(int i=0;i<q;i++){
            int a,b;
            int sum=0;
            scanf("%d%d",&a,&b);
            for(int i=1;i<=m;i++){
                sum+=Mat[a][b][i];
            }
            printf("%d\n",sum);
        }
    }
    return 0;
}



Codeforces Round #286 (Div. 2) B. Mr. Kitayuta's Colorful Graph +foyd算法的应用

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原文地址:http://blog.csdn.net/u012870383/article/details/43015693

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