洛谷P2766 最长不下降子序列问题 网络流_DP

时间:2022-12-26 15:39:17

Code:

#include<cstdio>
#include<iostream>
#include<vector>
#include<algorithm>
#include<queue>
#include<cstring>
using namespace std;
const int INF=1000000;
const int maxn=600;
# define pb push_back
int A[maxn],f[maxn];
int s,t;
int ans=0;
struct Edge{
int from,to,cap;
Edge(int u,int v,int c):from(u),to(v),cap(c) {}
};
struct Dicnic{
vector<Edge>edges;
vector<int>G[maxn];
int d[maxn],vis[maxn],cur[maxn];
queue<int>Q;
void addedge(int u,int v,int c){
edges.pb(Edge(u,v,c)); //正向弧
edges.pb(Edge(v,u,0)); //反向弧
int m=edges.size();
G[u].pb(m-2);
G[v].pb(m-1);
}
int BFS()
{
memset(vis,0,sizeof(vis));
d[s]=0,vis[s]=1;Q.push(s);
while(!Q.empty()){
int u=Q.front();Q.pop();
int sz=G[u].size();
for(int i=0;i<sz;++i){
Edge e=edges[G[u][i]];
if(!vis[e.to]&&e.cap>0){
d[e.to]=d[u]+1,vis[e.to]=1;
Q.push(e.to);
}
}
}
return vis[t];
}
int dfs(int x,int a){
if(x==t)return a;
int sz=G[x].size();
int f,flow=0;
for(int i=cur[x];i<sz;++i){
Edge e=edges[G[x][i]];
cur[x]=i;
if(d[e.to]==d[x]+1&&e.cap>0){
f=dfs(e.to,min(a,e.cap));
if(f)
{
int u=G[x][i];
a-=f;
edges[u].cap-=f;
edges[u^1].cap+=f;
flow+=f;
if(a==0)break;
}
}
}
return flow;
}
int maxflow(){
while(BFS()){
memset(cur,0,sizeof(cur));
ans+=dfs(s,INF);
}
return ans;
}
}op;
int main()
{ int n;cin>>n;
for(int i=1;i<=n;++i)cin>>A[i];
f[1]=1;
int anss=1;
for(int i=2;i<=n;++i){
f[i]=1;
for(int j=1;j<i;++j)
if(A[j]<=A[i]){f[i]=max(f[i],f[j]+1);anss=max(anss,f[i]);}
}
s=0,t=510;
for(int i=1;i<=n;++i){
if(f[i]==1)op.addedge(s,i,1);
if(f[i]==anss)op.addedge(i,t,1);
}
for(int i=1;i<n;++i)
for(int j=i+1;j<=n;++j)if(f[j]==f[i]+1&&A[j]>=A[i])op.addedge(i,j,1);
cout<<anss<<endl;
cout<<op.maxflow()<<endl;
if(anss==1){cout<<n<<endl;return 0;}
if(f[1]==anss)op.addedge(1,t,INF);
if(f[n]==anss)op.addedge(n,t,INF); //出边
op.addedge(s,1,INF);
if(f[n]==1)op.addedge(s,n,INF); //入边
for(int i=2;i<=n;++i)
{
if(A[i]>=A[1]&&f[i]==f[1]+1)op.addedge(1,i,INF);
}
int fin=op.maxflow();
if(fin>=INF)
{
int t=fin/INF; fin=(fin+t)%INF;
}
cout<<fin;
return 0;
}