#include<bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define For(i,j,k) for (int i=(j);i<=(k);i++)
#define rof(i,j,k) for (int i=(j);i>=(k);i--)
#define ull unsigned long long
#define lowbit(x) ((x)&(-(x)))
#define PII pair<int,int>
#define int long long
#define endl "\n"
#define ls rt<<1
#define rs rt<<1|1
typedef long long ll;
const int mod = 998244353;
const int N=2e5+7;
int n,m;
int a[N],dis[N];
bool cmp(int a,int b){
    return a>b;
}
void solve(){
    cin>>n;
    //开始
    dis[1]=1;
    for(int i=1;i<=n-1;i++){
        int u;
        cin>>u;
        dis[i+1]=dis[u]+1;
    }
    sort(dis+1,dis+1+n,cmp);
    For(i,1,n)
        cin>>a[i],a[i]=a[i]+i-1;
    sort(a+1,a+1+n);
    int maxn=0;
    For(i,1,n)
        maxn=max(a[i]+dis[i],maxn);
    cout<<maxn<<endl;
}
signed main(){
    fast;
    int t=1;
    cin>>t;
    while(t--){
        solve();
    }
}