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a073. POJ2832 How Many Pairs?
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Tolerant

最近更新 : 2011-03-20 17:24

內容

You are given an undirected graph G with N vertices and M edges. Each edge has a length. Below are two definitions.

  1. Define max_len(p) as the length of the edge with the maximum length of p where p is an arbitrary non-empty path in G.
  2. Define min_pair(u, v) as min{max_len(p) | p is a path connecting the vertices u and v.}. If there is no paths connecting u and v, min_pair(u, v) is defined as infinity.

Your task is to count the number of (unordered) pairs of vertices u and v satisfying the condition that min_pair(u, v) is not greater than a given integer A.

輸入說明

The first line of input contains three integer N, M and Q (1 < N ≤ 100,000, 0 < M ≤ 200,000, 0 < Q ≤ 200,000). N is the number of vertices, M is the number of edges and Q is the number of queries. Each of the next M lines contains three integers a, b, and c (1 ≤ a, b ≤ N, 0 ≤ c < 108) describing an edge connecting the vertices a and b with length c. Each of the following Q lines gives a query consisting of a single integer A (0 ≤ A < 108).

輸出說明

Output the answer to each query on a separate line.

範例輸入 #1 
4 5 4
1 2 1
2 3 2
2 3 5
3 4 3
4 1 4
0
1
3
2
範例輸出 #1 
0
1
6
3
測資資訊：
記憶體限制： 512 MB
提示 ：

原题范围是

1 < N ≤ 10,000, 0 < M ≤ 50,000, 0 < Q ≤ 10,000

这里改为

1 < N ≤ 100,000, 0 < M ≤ 200,000, 0 < Q ≤ 200,000

为了不让O(N^2)的过...

POJ 2832

这里，N个点的编号是1,2,3,4,5,....,N

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出處:
POJ Monthly--2006.05.28zhucheng [管理者： liouzhou_101 (王启圣) ]

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