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  • PAT甲级——A1134 Vertex Cover【25】

    A vertex cover of a graph is a set of vertices such that each edge of the graph is incident to at least one vertex of the set. Now given a graph with several vertex sets, you are supposed to tell if each of them is a vertex cover or not.

    Input Specification:

    Each input file contains one test case. For each case, the first line gives two positive integers N and M(both no more than 1), being the total numbers of vertices and the edges, respectively. Then M lines follow, each describes an edge by giving the indices (from 0 to N1) of the two ends of the edge.

    After the graph, a positive integer K (≤ 100) is given, which is the number of queries. Then K lines of queries follow, each in the format:

    Nv​​ [

    where Nv​​ is the number of vertices in the set, and ['s are the indices of the vertices.

    Output Specification:

    For each query, print in a line Yes if the set is a vertex cover, or No if not.

    Sample Input:

    10 11
    8 7
    6 8
    4 5
    8 4
    8 1
    1 2
    1 4
    9 8
    9 1
    1 0
    2 4
    5
    4 0 3 8 4
    6 6 1 7 5 4 9
    3 1 8 4
    2 2 8
    7 9 8 7 6 5 4 2
    

    Sample Output:

    No
    Yes
    Yes
    No
    No

    mmp,看了半天都没有看懂题,英语弱到爆
    百度后才知道,每条边至少有一个顶点存在set总,则该set是vertex cover

     1 #include <iostream>
     2 #include <vector>
     3 using namespace std;
     4 int a, b, n, m, k,nv;
     5 int main()
     6 {
     7     cin >> n >> m;
     8     vector<pair<int, int>>graph(m);
     9     for (int i = 0; i < m; ++i)
    10         cin >> graph[i].first >> graph[i].second;
    11     cin >> k;
    12     while (k--)
    13     {
    14         cin >> nv;
    15         vector<bool>map(n, false);
    16         while (nv--)
    17         {
    18             cin >> a;
    19             map[a] = true;
    20         }
    21         bool flag = true;
    22         for (int i = 0; flag&&i < m; ++i)
    23             if (map[graph[i].first] == false && map[graph[i].second] == false)//没有一个顶点存在map中
    24                 flag = false;
    25         cout << (flag ? "Yes" : "No") << endl;
    26     }
    27     return 0;
    28 }
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  • 原文地址:https://www.cnblogs.com/zzw1024/p/11489108.html
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