This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "friend.h"
#include <bits/stdc++.h>
using namespace std;
#define forn(i,n) for(int i=0;i<n;++i)
#define pb push_back
#define all(x) x.begin(),x.end()
#define pi pair<int,int>
#define f first
#define s second
using ll = long long;
const int inf=1e9;
struct DSU {
vector<int> p,sz;
DSU(int n) {
forn(i,n) p.pb(i), sz.pb(1);
}
int get(int u) {
return p[u]==u?u:get(p[u]);
}
void uni(int u, int v) {
u=get(u), v=get(v);
if (u==v) return;
if (sz[u]<sz[v]) swap(u,v);
p[v]=u;
sz[u]+=sz[v];
}
};
const int N=1e3+5;
int n;
bitset<N> adj[N];
bitset<N> was[N];
vector<int> g[N];
int a[N];
int dp[N][2];
int vis[N];
void dfs(int u, int p) {
vis[u]=1;
dp[u][1]=a[u];
for(auto&v:g[u]) {
if (v==p) continue;
dfs(v,u);
dp[u][0]+=max(dp[v][0],dp[v][1]);
dp[u][1]+=dp[v][0];
}
}
const int q = 998244353;
const int mod=1e9+7;
int findSample(int _n, int c[], int h[], int p[]) {
n=_n;
if (n>1000) return 0;
forn(i,n) a[i]=c[i];
if (n<=10) {
for (int i=1; i<n; ++i) {
if (p[i]) {
forn(j,n) if (adj[h[i]][j]) adj[i][j]=adj[j][i]=1;
}
if (p[i]%2==0) {
adj[h[i]][i]=adj[i][h[i]]=1;
}
}
int ans=0;
forn(mask,1<<n) {
vector<int> v;
forn(i,n) if ((mask>>i)&1) v.pb(i);
int f=0, s=0;
for(auto&x:v) for(auto&y:v) f|=adj[x][y];
for(auto&x:v) s+=a[x];
if (!f) ans=max(ans,s);
}
return ans;
}
int z;
z=1;
for (int i=1; i<n; ++i) z&=p[i]==1;
if (z) {
int s=0; forn(i,n) s+=a[i]; return s;
}
z=1;
for (int i=1; i<n; ++i) z&=p[i]==2;
if (z) {
int s=0; forn(i,n) s=max(s,a[i]); return s;
}
z=1;
for (int i=1; i<n; ++i) z&=p[i]==0;
if (z) {
for(int i=1; i<n; ++i) {
g[h[i]].pb(i);
}
dfs(0,0);
return max(dp[0][0],dp[0][1]);
}
for (int i=1; i<n; ++i) {
if (p[i]) {
forn(j,n) if (adj[h[i]][j]) adj[i][j]=adj[j][i]=1;
}
if (p[i]%2==0) {
adj[h[i]][i]=adj[i][h[i]]=1;
}
}
map<int,int> mp;
DSU dsu(n);
vector<int> hs(n);
forn(i,n) {
int p=1;
forn(j,n) {
if (adj[i][j]) {
hs[i]=hs[i]+p;
if (hs[i]>=mod) hs[i]-=mod;
}
p=(p*q)%mod;
}
}
forn(i,n) {
int s=hs[i];
if (mp.count(s)) {
dsu.uni(i,mp[s]);
} else mp[s]=i;
}
forn(i,n) forn(j,n) if (adj[i][j]) if (!was[dsu.get(i)][dsu.get(j)]) {
g[dsu.get(i)].pb(dsu.get(j));
was[dsu.get(i)][dsu.get(j)]=1;
}
forn(i,n) if (dsu.get(i)!=i) a[dsu.get(i)]+=a[i];
int ans=0;
forn(i,n) {
if (vis[i]) continue;
if (i!=dsu.get(i)) continue;
dfs(i,-1);
ans+=max(dp[i][0],dp[i][1]);
return ans;
}
return ans;
}
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