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<bits/stdc++.h>
#ifndef SKY
#include "friend.h"
#endif // SKY
using namespace std;
#define N 100010
#define ll long long
#define ii pair<int,int>
#define fs first
#define sc second
#define pb push_back
#define iii pair<int,ii>
int n,a[N],dp[N][2];
vector<ii>g[N];
void selfmax(int&u,int v)
{
u=max(u,v);
}
void DFS(int u,int p)
{
dp[u][0]=dp[u][1]=0;
for(auto v:g[u])
if(v.sc!=p)
DFS(v.sc,u);
int f[2][2]={};
f[0][1]=f[1][0]=f[1][1]=-1e9;
for(auto v:g[u])
if(v.sc!=p)
{
int tmp[2][2]={};
for(int i=0;i<=1;i++)
for(int j=0;j<=1;j++)
selfmax(tmp[i][j],f[i][j]+dp[v.sc][0]);
if(v.fs==1)
{
for(int i=0;i<=1;i++)
for(int j=0;j<=1;j++)
selfmax(tmp[1][j],f[i][j]+dp[v.sc][1]);
}
if(v.fs==2)
{
for(int j=0;j<=1;j++)
selfmax(tmp[0][1],f[0][j]+dp[v.sc][1]);
}
if(v.fs==3)
{
for(int j=0;j<=1;j++)
selfmax(tmp[1][1],f[0][j]+dp[v.sc][1]);
// cout<<u<<" "<<v.sc<<" "<<dp[v.sc][1]<<" "<<tmp[1][1]<<endl;
}
for(int i=0;i<=1;i++)
for(int j=0;j<=1;j++)
f[i][j]=tmp[i][j];
//cout<<"cc "<<u<<" "<<v.sc<<" "<<f[1][1]<<endl;
}
for(int j=1;j>=0;j--)
selfmax(f[0][1],f[0][j]+a[u]);
dp[u][0]=max(f[0][0],f[1][0]);
dp[u][1]=max(f[0][1],f[1][1]);
// cout<<u<<" "<<dp[u][0]<<" "<<dp[u][1]<<endl;
}
int findSample(int cc,int cost[],int host[],int protocol[])
{
n=cc;
for(int i=0;i<n;i++)
a[i]=cost[i],g[i].clear();
for(int i=1;i<n;i++)
{
// cout<<host[i]<<" "<<i<<" "<<protocol[i]<<endl;
g[host[i]].pb({protocol[i]+1,i});
}
DFS(0,-1);
return max(dp[0][0],dp[0][1]);
}
#ifdef SKY
int main()
{
freopen("A.inp","r",stdin);
freopen("A.out","w",stdout);
ios::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
int n;
cin>>n;
int a[n],host[n],protocol[n];
for(int i=0;i<n;i++)
cin>>a[i];
for(int i=0;i<n;i++)
cin>>host[i];
for(int i=0;i<n;i++)
cin>>protocol[i];
cout<<findSample(n,a,host,protocol);
return 0;
}
#endif // SKY
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