PAT 甲级 1154 Vertex Coloring (25分)

A proper vertex coloring is a labeling of the graph's vertices with colors such that no two vertices sharing the same edge have the same color. A coloring using at most k colors is called a (proper) k-coloring.

Now you are supposed to tell if a given coloring is a proper k-coloring.

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 10000), being the total numbers of vertices and edges, respectively. Then M lines follow, each describes an edge by giving the indices (from 0 to N−1) of the two ends of the edge.

After the graph, a positive integer K (≤ 100) is given, which is the number of colorings you are supposed to check. Then K lines follow, each contains N colors which are represented by non-negative integers in the range of int. The i-th color is the color of the i-th vertex.

Output Specification:

For each coloring, print in a line k-coloring if it is a proper k-coloring for some positive k, 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
4
0 1 0 1 4 1 0 1 3 0
0 1 0 1 4 1 0 1 0 0
8 1 0 1 4 1 0 5 3 0
1 2 3 4 5 6 7 8 8 9

Sample Output:

4-coloring
No
6-coloring
No

 

【AC】三部曲：1、[读懂题意] 　　 2、[ pair存边 ]　　 3、[ set去重 ]

 1 #include
 2 using namespace std;
 3 
 4 pair<int, int> p[10001];
 5 
 6 int main()
 7 {
 8     int n, m; cin >> n >> m;
 9     for(int i = 0; i < m; i++)
10     {
11         cin >> p[i].first >> p[i].second;
12     }
13     
14     int k, array[10001]; cin >> k;
15     while(k--)
16     {
17         set<int> s; int flag = 1;
18         for(int i = 0; i < n; i++)
19         {
20             cin >> array[i];
21             s.insert(array[i]);
22         }
23         for(int i = 0; i < m; i++)
24         {
25             if(array[p[i].first] == array[p[i].second]) { cout << "No" << endl; flag = 0; break; }
26         }
27         if(flag) cout << s.size() << "-coloring" << endl;
28         s.clear();
29     }
30     return 0;
31 }

View Code

 

"只要你不停止，走慢一点没关系"