JZOJ 4672. 【NOIP2016提高A组模拟7.20】Graph Coloring

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题目:

传送门


题意:

每次可选择一个点,对连接该点的所有边进行变色
求将整个图变为同一颜色最少需要多少步


分析:

我们可以将此图转换为 01 01 染色图,对于红蓝两色,先假设整图为一种,然后对所有边进行变色,再变为另一种颜色
而判断是否可以变色,可以用 d f s dfs 来暴力模拟


代码:

#include<iostream>
#include<cstdio>
#include<cmath>
#include<cstring>
#include<cstdlib>
#include<algorithm>
#include<set>
#include<queue>
#include<vector>
#include<map>
#include<list>
#include<ctime>
#include<iomanip>
#include<string>
#include<bitset>
#include<deque>
#include<set>
#define LL long long
#define king 99999999
using namespace std;
inline LL read(){
	LL d=0,f=1;char s=getchar();
	while(s<'0'||s>'9'){if(s=='-')f=-1;s=getchar();}
	while(s>='0'&&s<='9'){d=d*10+s-'0';s=getchar();}
	return d*f;
}
int n,m,tot,mins,sum,flag;
int ver[200005],next[200005],edge[200005],head[200005],v[100005],f[100005],run[100005];
void add(int x,int y,char w)
{
	ver[++tot]=y;
	next[tot]=head[x];
	head[x]=tot;
	edge[tot]=(w=='R');
	return;
}
void dfs(int x)
{
	v[x]=run[x]=1;
	for(int i=head[x];i;i=next[i])
	{
		if(flag)break;
		int y=ver[i];
		if(!v[y])
		{
			f[y]=f[x]^edge[i];
			if(f[y])sum++;
			dfs(y);
		}
		else if(f[y]!=(f[x]^edge[i])) flag=1;
	}
	return;
}
void work()
{
	memset(run,0,sizeof(run));
	int ans=0,k;
	for(int i=1;i<=n;i++)
	{
		if(run[i]) continue;
		f[i]=sum=flag=0;
		memset(v,0,sizeof(v));
		dfs(i);
		if(flag)k=king;
		else k=sum;
		f[i]=sum=1;
		flag=0;
		memset(v,0,sizeof(v));
		dfs(i);
		if(flag)sum=king;
		if(k==king&&sum==king)
		{
			ans=king;
			break;
		}
		ans+=min(k,sum);
	}
	mins=min(ans,mins);
}
int main()
{
	n=read();m=read();
	for(int i=1;i<=m;i++)
	{
		int x,y;
		char c;
		x=read();y=read();scanf("%c",&c);
		add(x,y,c);
		add(y,x,c);
	}
	mins=king;
	work();
	for(int i=1;i<=tot;i++) edge[i]^=1;
	work();
	if(mins==king) printf("-1");
	else cout<<mins;
	return 0;
}

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转载自blog.csdn.net/qq_35786326/article/details/88872715