#define _CRT_SECURE_NO_WARNINGS
//#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
#define all(c) (c).begin(), (c).end()
#define loop(i,a,b) for(ll i=a; i<ll(b); i++)
#define rep(i,b) loop(i,0,b)
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
template<class T> ostream & operator<<(ostream & os, vector<T> const &);
template<int n, class...T> typename enable_if<(n>=sizeof...(T))>::type _ot(ostream &, tuple<T...> const &){}
template<int n, class...T> typename enable_if<(n< sizeof...(T))>::type _ot(ostream & os, tuple<T...> const & t){ os << (n==0?"":" ") << get<n>(t); _ot<n+1>(os, t); }
template<class...T> ostream & operator<<(ostream & os, tuple<T...> const & t){ _ot<0>(os, t); return os; }
template<class T, class U> ostream & operator<<(ostream & os, pair<T,U> const & p){ return os << "(" << p.first << ", " << p.second << ") "; }
template<class T> ostream & operator<<(ostream & os, vector<T> const & v){ rep(i,v.size()) os << v[i] << (i+1==(int)v.size()?"":" "); return os; }
#ifdef DEBUG
#define dump(...) (cerr<<#__VA_ARGS__<<" = "<<mt(__VA_ARGS__)<<" ["<<__LINE__<<"]"<<endl)
#else
#define dump(...)
#endif

typedef int Weight;
struct Edge {
    int src, dst;
    Weight weight;
    Edge(int src_, int dst_, Weight weight_) :
        src(src_), dst(dst_), weight(weight_) { }
};
bool operator < (const Edge &e, const Edge &f) {
    return e.weight != f.weight ? e.weight > f.weight : // !!INVERSE!!
        e.src != f.src ? e.src < f.src : e.dst < f.dst;
}
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;
typedef vector<Weight> Array;
typedef vector<Array> Matrix;

int const inf = 1<<29;

typedef pair<Weight, int> Result;
Result visit(int p, int v, const Matrix & g) {
    Result r(0,v);
    int n = g.size();
    rep(i,n){
        if(i!=p){
            if(g[v][i]==inf) continue;
            Result t = visit(v, i, g);
            t.first += g[v][i];
            if (r.first < t.first) r = t;
        }
    }
    return r;
}
tuple<int,int,Weight> diameter(const Matrix & g, int start) {
    Result r = visit(-1, start, g);
    Result t = visit(-1, r.second, g);
    return mt(r.second, t.second, t.first); // (r.second, t.second) is farthest pair
}

Matrix mat;
int deg[1000];
int n;

int main(){
    while(cin >> n && n){
        mat.assign(n,Array(n,inf));
        int ans = 0;
        rep(i,n) deg[i] = 0;
        {
            int p[1000], d[1000];
            rep(i,n-1) cin >> p[i];
            rep(i,n-1) cin >> d[i];
            rep(i,n-1){
                p[i]--;
                mat[i+1][p[i]] = mat[p[i]][i+1] = d[i];
                deg[i+1]++;
                deg[p[i]]++;
            }
        }

        int t = 0;
        rep(i,n){
            if(deg[i]!=1) continue;
            rep(j,n){
                if(mat[i][j]!=inf){
                    t += mat[i][j];
                    mat[i][j] = mat[j][i] = inf;
                }
            }
        }

        ans += t;
        int u = 0;
        rep(i,n){
            deg[i] = 0;
            rep(j,n){
                if(mat[i][j]!=inf){
                    deg[i]++;
                    u += mat[i][j];
                }
            }
        }
        ans += u/2*3;

        int start = -1;
        rep(i,n){
            if(deg[i]==0) continue;
            start = i;
            break;
        }
        if(start==-1){
            cout << ans << endl;
        } else {
            int a,b,d;
            vi dist,prev,path;
            tie(a,b,d) = diameter(mat,start);
            ans -= d;
            cout << ans << endl;
        }
    }
}

Measured memory_bytes: 6228