PAT 甲级 1154 Vertex Coloring
https://pintia.cn/problem-sets/994805342720868352/problems/1071785301894295552
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 1), 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
代码:
#include <bits/stdc++.h>
using namespace std; const int maxn = 1e4 + 10;
int N ,M, K;
vector<int> v[maxn];
map<int, int> mp; int main() {
scanf("%d%d", &N, &M);
while(M --) {
int a, b;
scanf("%d%d", &a, &b);
v[a].push_back(b);
v[b].push_back(a);
} scanf("%d", &K);
while(K --) {
mp.clear();
set<int> s;
s.clear();
for(int i = 0; i < N; i ++) {
int x;
scanf("%d", &x);
s.insert(x);
mp[i] = x;
} bool flag = true;
for(int i = 0; i < N; i ++) {
for(int j = 0; j < v[i].size(); j ++) {
if(mp[i] == mp[v[i][j]]) {
flag = false;
break;
}
}
if(flag) continue;
else break;
} if(!flag) printf("No\n");
else printf("%d-coloring\n", (int)s.size());
}
return 0;
}
今天第一题打卡 简单图论
FHFHFH
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