[JSOI2008]星球大战

题目大意:有一个无向图,依次击破一些点,求每次击破后的联通块个数
题解:离线解决,把击破变成添加,倒着处理,每次添加节点时把与它相连的边加入图中,用并查集维护,求出答案

C++ Code:

#include<cstdio>
using namespace std;
const int maxm=200010;
const int maxn=400010;
int n,m,k,num;
int ans[maxn],f[maxn],s[maxn];
bool v[maxn];
int head[maxn],cnt;
struct Edge{
	int from,to,nxt;
}e[maxm<<1];
void add(int a,int b){
	e[++cnt]=(Edge){a,b,head[a]};
	head[a]=cnt;
}
int find(int x){return x==f[x]?x:(f[x]=find(f[x]));}
int main(){
	scanf("%d%d",&n,&m);
	for (int i=0;i<m;i++){
		int a,b;
		scanf("%d%d",&a,&b);
		add(a,b);
		add(b,a);
	}
	scanf("%d",&k);
	for (int i=1;i<=k;i++)scanf("%d",&s[i]),v[s[i]]=1;
	for (int i=0;i<n;i++)f[i]=i;
	for (int i=0;i<m;i++){
		if ((!(v[e[i<<1|1].from]))&&(!(v[e[i<<1|1].to]))){
			int x=find(e[i<<1|1].from),y=find(e[i<<1|1].to);
			if (x!=y){
				num++;
				f[x]=f[y];
			}
		}
	}
    ans[k]=n-k-num;
	for (int i=k-1;i>=0;i--){
		v[s[i+1]]=0;
		for (int j=head[s[i+1]];j;j=e[j].nxt){
			int ne=e[j].to;
			if (v[ne])continue;
			int x=find(e[j].from),y=find(ne);
			if (x!=y){
				num++;
				f[x]=f[y];
			}
		}
        ans[i]=n-i-num;
	}
	for (int i=0;i<=k;i++)printf("%d
",ans[i]);
	return 0;
}
原文地址:https://www.cnblogs.com/Memory-of-winter/p/7987392.html