#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for(llint (x) = (s); (x) <= (t); (x)++) #define per(x, s, t) for(llint (x) = (s); (x) >= (t); (x)--) #define reps(x, s) for(llint (x) = 0; (x) < (llint)(s).size(); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define sz(x) ((ll)(x).size()) #define ceil(x, y) (((x)+(y)-1) / (y)) #define all(x) (x).begin(),(x).end() #define outl(...) dump_func(__VA_ARGS__) #define inf 1e18 using namespace std; typedef long long llint; typedef long long ll; typedef pair P; struct edge{ ll to, cost; edge(){} edge(ll a, ll b){ to = a, cost = b;} }; const ll dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1}; const ll mod = 1000000007; //const ll mod = 998244353; struct mint{ ll x = 0; mint(ll y = 0){x = y; if(x < 0 || x >= mod) x = (x%mod+mod)%mod;} mint(const mint &ope) {x = ope.x;} mint operator-(){return mint(-x);} mint operator+(const mint &ope){return mint(x) += ope;} mint operator-(const mint &ope){return mint(x) -= ope;} mint operator*(const mint &ope){return mint(x) *= ope;} mint operator/(const mint &ope){return mint(x) /= ope;} mint& operator+=(const mint &ope){ x += ope.x; if(x >= mod) x -= mod; return *this; } mint& operator-=(const mint &ope){ x += mod - ope.x; if(x >= mod) x -= mod; return *this; } mint& operator*=(const mint &ope){ x *= ope.x, x %= mod; return *this; } mint& operator/=(const mint &ope){ ll n = mod-2; mint mul = ope; while(n){ if(n & 1) *this *= mul; mul *= mul; n >>= 1; } return *this; } mint inverse(){return mint(1) / *this;} bool operator ==(const mint &ope){return x == ope.x;} bool operator !=(const mint &ope){return x != ope.x;} }; mint modpow(mint a, ll n){ if(n == 0) return mint(1); if(n % 2) return a * modpow(a, n-1); else return modpow(a*a, n/2); } istream& operator >>(istream &is, mint &ope){ ll t; is >> t, ope.x = t; return is; } ostream& operator <<(ostream &os, mint &ope){return os << ope.x;} ostream& operator <<(ostream &os, const mint &ope){return os << ope.x;} bool exceed(ll x, ll y, ll m){return x >= m / y + 1;} void mark(){ cout << "*" << endl; } void yes(){ cout << "YES" << endl; } void no(){ cout << "NO" << endl; } ll sgn(ll x){ if(x > 0) return 1; if(x < 0) return -1; return 0;} ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);} ll lcm(ll a, ll b){return a/gcd(a, b)*b;} ll digitnum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret++; return ret;} ll digitsum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret += x % b; return ret;} string lltos(ll x){string ret; for(;x;x/=10) ret += x % 10 + '0'; reverse(ret.begin(), ret.end()); return ret;} ll stoll(string &s){ll ret = 0; for(auto c : s) ret *= 10, ret += c - '0'; return ret;} template void uniq(T &vec){ sort(vec.begin(), vec.end()); vec.erase(unique(vec.begin(), vec.end()), vec.end());} template ostream& operator << (ostream& os, vector& vec) { for(int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template ostream& operator << (ostream& os, deque& deq) { for(int i = 0; i < deq.size(); i++) os << deq[i] << (i + 1 == deq.size() ? "" : " "); return os; } template ostream& operator << (ostream& os, pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator << (ostream& os, const pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator << (ostream& os, map& map_var) { for(typename map::iterator itr = map_var.begin(); itr != map_var.end(); itr++) { os << "(" << itr->first << ", " << itr->second << ")"; itr++; if(itr != map_var.end()) os << ","; itr--; } return os; } template ostream& operator << (ostream& os, set& set_var) { for(typename set::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--; } return os; } template ostream& operator << (ostream& os, multiset& set_var) { for(typename multiset::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--; } return os; } template void outa(T a[], ll s, ll t){ for(ll i = s; i <= t; i++){ cout << a[i]; if(i < t) cout << " ";} cout << endl; } void dump_func() {cout << endl;} template void dump_func(Head &&head, Tail &&... tail) { cout << head; if(sizeof...(Tail) > 0) cout << " "; dump_func(std::move(tail)...); } struct LazySegTree{ typedef ll SEG; typedef ll DELAY; int size; vector seg; vector delay; LazySegTree(){} LazySegTree(int size){ this->size = size; seg.resize(1<<(size+1)); delay.resize(1<<(size+1)); } SEG Ident(){ //identity element return 0; } SEG ope(SEG a, SEG b){ //operator return a+b; } void init() { for(int i = 0; i < (1<<(size+1)); i++){ seg[i] = Ident(); delay[i] = 0; // } } void eval(int l, int r, int k) // { if(delay[k]){ seg[k] += delay[k] * (r-l+1); //総和クエリのときは区間幅を乗じる必要がある if(l < r){ delay[k*2] += delay[k]; delay[k*2+1] += delay[k]; } delay[k] = 0; } } void update(int i, SEG val) { int l = 0, r = (1<= 0; j--){ k <<= 1; if(i & (1< b) return; add(a, b, 1, 0, (1< b) return Ident(); return query(a, b, 1, 0, (1< G[100005]; ll a[100005], b[100005]; ll l[100005], r[100005]; P p[100005]; ll dp[1000005]; LazySegTree seg(17), pseg(17); const int VNUM = 200005, LOG_VNUM = 18; int Prev[VNUM][LOG_VNUM]; int depth[VNUM]; ll id = 0; void predfs(int v, int p, int d) { l[v] = ++id, depth[v] = d, Prev[v][0] = p; for(int i = 0; i < G[v].size(); i++){ if(G[v][i] == p) continue; predfs(G[v][i], v, d+1); } r[v] = id; } int getLCA(int u, int v){ int x = u, y = v; if(depth[y] > depth[x]) swap(x, y); for(int i = LOG_VNUM-1; i >= 0; i--){ if(depth[x] - (1<= depth[y]) x = Prev[x][i]; } if(x == y) return x; for(int i = LOG_VNUM-1; i >= 0; i--){ if(Prev[x][i] != Prev[y][i]){ x = Prev[x][i]; y = Prev[y][i]; } } x = Prev[x][0]; return x; } ll get(ll v) { ll x = pseg.query(l[v], l[v]); if(x <= 1) return 0; for(int i = LOG_VNUM-1; i >= 0; i--){ ll nv = Prev[v][i]; if(pseg.query(l[nv], l[nv]) >= x-1) v = nv; } return v; } int main(void) { ios::sync_with_stdio(0); cin.tie(0); cin >> n; rep(i, 2, n){ ll p; cin >> p; G[p].push_back(i); } rep(i, 1, n) cin >> a[i]; rep(i, 1, n) cin >> b[i]; rep(i, 1, n) p[i] = P(a[i], i); sort(p+1, p+n+1), reverse(p+1, p+n+1); predfs(1, 0, 0); for(int i = 1; i < LOG_VNUM; i++){ for(int j = 1; j <= n; j++){ Prev[j][i] = Prev[Prev[j][i-1]][i-1]; } } seg.init(), pseg.init(); rep(i, 1, n){ ll v = p[i].second; dp[v] = seg.query(l[v], r[v]) + b[v]; seg.update(l[v], b[v]), pseg.add(l[v], r[v], 1); //outl(v); //rep(j, 1, n) cout << pseg.query(l[j], l[j]) << " "; cout << endl; ll add = b[v]; while(1){ v = get(v); if(v == 0) break; ll x = seg.query(l[v], l[v]); if(x >= add){ seg.update(l[v], x-add); break; } add -= x; pseg.add(l[v], r[v], -1); seg.update(l[v], 0); } //rep(j, 1, n) cout << seg.query(l[j], l[j]) << " "; cout << endl; } outl(seg.query(1, n)); return 0; }