44 求条
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44 求条
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Z_kazuha楼主2025/1/15 09:54
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int M=5e6+6;
const int inf=9e18;
const int N=1005;
int n,a[N],f[N],ans1,s,t,ans;
int head[M],cnt;
struct node{int to,nxt,w;}e[M];
void add(int u,int v,int w){
	e[++cnt].to=v;
	e[cnt].nxt=head[u];
	e[cnt].w=w;
	head[u]=cnt;
}
int deep[M],now[M];
bool bfs(){
	for(int i=0;i<M-5;i++)deep[i]=inf;
	now[s]=head[s];
	deep[s]=0;
	queue<int>q;
	q.push(s);
	while(!q.empty()){
		int u=q.front();
		q.pop();
		for(int i=head[u];i;i=e[i].nxt){
			int v=e[i].to;
			if(e[i].w&&deep[v]==inf){
				deep[v]=deep[u]+1;
				now[v]=head[v];
				q.push(v);
				if(v==t)return 1;
			}
		}
	}
	return 0;
}
int dfs(int u,int sum){
	if(u==t)return sum;
	int k,flow=0;
	for(int i=head[u];i&&sum;i=e[i].nxt){
		int v=e[i].to;
		if(e[i].w&&(deep[v]==deep[u]+1)){
			k=dfs(v,min(e[i].w,sum));
			if(!k)deep[v]=inf;
			e[i].w-=k;
			e[i^1].w+=k;
			flow+=k;
			sum-=k;
		}
	}
	return flow;
}
signed main(){
	cin>>n;
	if(n==1){cout<<1<<endl<<1<<endl<<1;return 0;}
	for(int i=1;i<=n;i++){
		cin>>a[i];
		f[i]=1;
	}
	for(int i=2;i<=n;i++){
		for(int j=1;j<i;j++){
			if(a[j]<=a[i])f[i]=max(f[i],f[j]+1);
		}
		ans1=max(ans1,f[i]);
	}
	cout<<ans1<<endl;
	s=0,t=2*n+1;
	for(int i=1;i<=n;i++){
		add(i,i+n,1),add(i+n,i,0);
		if(f[i]==1){
			add(s,i,1),add(i,s,0);
		}
		else{
			if(f[i]==ans1){add(i+n,t,1),add(t,i+n,0);}
			for(int j=1;j<i;j++){
				if(a[j]<a[i]&&f[j]+1==f[i]){add(j+n,i,1),add(i,j+n,0);}
			}
		}
	}
	while(bfs()){
		ans+=dfs(s,inf);
	}
	cout<<ans<<endl;
	memset(now,0,sizeof(now));
	memset(head,0,sizeof(head));
	cnt=0;
	for(int i=1;i<=n;i++){
		if(i==1||i==n){
			add(i,i+n,inf),add(i+n,i,0);
			//cout<<i<<" "<<i+n<<" "<<inf<<endl;
			if(i==1)add(s,i,inf),add(i,s,0);//cout<<s<<" "<<i<<" "<<inf<<endl;}
			if(i==n&&f[i]==ans1)add(i+n,t,inf),add(t,i+n,0);//cout<<i+n<<" "<<t<<" "<<inf<<endl;}
			if(i==n)
			for(int j=1;j<i;j++){
				if(a[j]<a[i]&&f[j]+1==f[i])add(j+n,i,1),add(i,j+n,0);//cout<<j+n<<" "<<i<<endl;
			}
		}else{
			add(i,i+n,1),add(i+n,i,0);//cout<<i<<" "<<i+n<<endl;
			if(f[i]==1)add(s,i,1),add(i,s,0);//cout<<s<<" "<<i<<endl;}
			else{
				if(f[i]==ans1)add(i+n,t,1),add(t,i+n,0);//cout<<i+n<<" "<<t<<endl;}
				for(int j=1;j<i;j++){
					if(a[j]<a[i]&&f[j]+1==f[i])add(j+n,i,1),add(i,j+n,0);//cout<<j+n<<" "<<i<<endl;}
				}
			}		
		}
	}
	ans=0;
	while(bfs()){
		ans+=dfs(s,inf);
	}
	cout<<ans<<endl;
	return 0;
}
2025/1/15 09:54
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