#line 1 "H.cpp"
// #pragma GCC target("avx2,avx512f,avx512vl,avx512bw,avx512dq,avx512cd,avx512vbmi,avx512vbmi2,avx512vpopcntdq,avx512bitalg,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("Ofast")

#line 2 "/mnt/c/Users/tsigm/Documents/Cprogram/library/template.hpp"

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
#define rep(i,n) for(int i=0;i<int(n);i++)
#define rep1(i,n) for(int i=1;i<=int(n);i++)
#define per(i,n) for(int i=int(n)-1;i>=0;i--)
#define per1(i,n) for(int i=int(n);i>0;i--)
#define all(c) c.begin(),c.end()
#define si(x) int(x.size())
#define pb push_back
#define eb emplace_back
#define fs first
#define sc second
template<class T> using V = vector<T>;
template<class T> using VV = vector<vector<T>>;
template<class T,class U> bool chmax(T& x, U y){
	if(x<y){ x=y; return true; }
	return false;
}
template<class T,class U> bool chmin(T& x, U y){
	if(y<x){ x=y; return true; }
	return false;
}
template<class T> void mkuni(V<T>& v){sort(all(v));v.erase(unique(all(v)),v.end());}
template<class T> int lwb(const V<T>& v, const T& a){return lower_bound(all(v),a) - v.begin();}
template<class T>
V<T> Vec(size_t a) {
    return V<T>(a);
}
template<class T, class... Ts>
auto Vec(size_t a, Ts... ts) {
  return V<decltype(Vec<T>(ts...))>(a, Vec<T>(ts...));
}
template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){
	return o<<"("<<p.fs<<","<<p.sc<<")";
}
template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){
	o<<"{";
	for(const T& v:vc) o<<v<<",";
	o<<"}";
	return o;
}
constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n-1); }

#ifdef LOCAL
#define show(x) cerr << "LINE" << __LINE__ << " : " << #x << " = " << (x) << endl
void dmpr(ostream& os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ~ ";
	dmpr(os,args...);
}
#define shows(...) cerr << "LINE" << __LINE__ << " : ";dmpr(cerr,##__VA_ARGS__)
#define dump(x) cerr << "LINE" << __LINE__ << " : " << #x << " = {";  \
	for(auto v: x) cerr << v << ","; cerr << "}" << endl;
#else
#define show(x) void(0)
#define dump(x) void(0)
#define shows(...) void(0)
#endif

template<class D> D divFloor(D a, D b){
	return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0);
}
template<class D> D divCeil(D a, D b) {
	return a / b + (((a ^ b) > 0 && a % b != 0) ? 1 : 0);
}

/*
x       0  1  2  3  4  5  6  7  8  9
bsr(x) -1  0  1  1  2  2  2  2  3  3
最上位bit
*/
int bsr(int x){
	return x == 0 ? -1 : 31 ^ __builtin_clz(x);
}
int bsr(uint x){
	return x == 0 ? -1 : 31 ^ __builtin_clz(x);
}
int bsr(ll x){
	return x == 0 ? -1 : 63 ^ __builtin_clzll(x);
}
int bsr(ull x){
	return x == 0 ? -1 : 63 ^ __builtin_clzll(x);
}

/*
x       0  1  2  3  4  5  6  7  8  9
bsl(x) -1  0  1  0  2  0  1  0  3  0
最下位bit
*/
int bsl(int x){
	if(x==0) return -1;
	return __builtin_ctz(x);
}
int bsl(uint x){
	if(x==0) return -1;
	return __builtin_ctz(x);
}
int bsl(ll x){
	if(x==0) return -1;
	return __builtin_ctzll(x);
}
int bsl(ull x){
	if(x==0) return -1;
	return __builtin_ctzll(x);
}


template<class T>
T rnd(T l,T r){	//[l,r)
	using D = uniform_int_distribution<T>;
	static random_device rd;
	static mt19937 gen(rd());
	return D(l,r-1)(gen);
}
template<class T>
T rnd(T n){	//[0,n)
	return rnd(T(0),n);
}
#line 5 "H.cpp"

template<unsigned int mod_>
struct ModInt{
	using uint = unsigned int;
	using ll = long long;
	using ull = unsigned long long;

	constexpr static uint mod = mod_;

	uint v;
	ModInt():v(0){}
	ModInt(ll _v):v(normS(_v%mod+mod)){}
	explicit operator bool() const {return v!=0;}
	static uint normS(const uint &x){return (x<mod)?x:x-mod;}		// [0 , 2*mod-1] -> [0 , mod-1]
	static ModInt make(const uint &x){ModInt m; m.v=x; return m;}
	ModInt operator+(const ModInt& b) const { return make(normS(v+b.v));}
	ModInt operator-(const ModInt& b) const { return make(normS(v+mod-b.v));}
	ModInt operator-() const { return make(normS(mod-v)); }
	ModInt operator*(const ModInt& b) const { return make((ull)v*b.v%mod);}
	ModInt operator/(const ModInt& b) const { return *this*b.inv();}
	ModInt& operator+=(const ModInt& b){ return *this=*this+b;}
	ModInt& operator-=(const ModInt& b){ return *this=*this-b;}
	ModInt& operator*=(const ModInt& b){ return *this=*this*b;}
	ModInt& operator/=(const ModInt& b){ return *this=*this/b;}
	ModInt& operator++(int){ return *this=*this+1;}
	ModInt& operator--(int){ return *this=*this-1;}
	template<class T> friend ModInt operator+(T a, const ModInt& b){ return (ModInt(a) += b);}
	template<class T> friend ModInt operator-(T a, const ModInt& b){ return (ModInt(a) -= b);}
	template<class T> friend ModInt operator*(T a, const ModInt& b){ return (ModInt(a) *= b);}
	template<class T> friend ModInt operator/(T a, const ModInt& b){ return (ModInt(a) /= b);}
	ModInt pow(ll p) const {
		if(p<0) return inv().pow(-p);
		ModInt a = 1;
		ModInt x = *this;
		while(p){
			if(p&1) a *= x;
			x *= x;
			p >>= 1;
		}
		return a;
	}
	ModInt inv() const {		// should be prime
		return pow(mod-2);
	}
	// ll extgcd(ll a,ll b,ll &x,ll &y) const{
	// 	ll p[]={a,1,0},q[]={b,0,1};
	// 	while(*q){
	// 		ll t=*p/ *q;
	// 		rep(i,3) swap(p[i]-=t*q[i],q[i]);
	// 	}
	// 	if(p[0]<0) rep(i,3) p[i]=-p[i];
	// 	x=p[1],y=p[2];
	// 	return p[0];
	// }
	// ModInt inv() const {
	// 	ll x,y;
	// 	extgcd(v,mod,x,y);
	// 	return make(normS(x+mod));
	// }

	bool operator==(const ModInt& b) const { return v==b.v;}
	bool operator!=(const ModInt& b) const { return v!=b.v;}
	bool operator<(const ModInt& b) const { return v<b.v;}
	friend istream& operator>>(istream &o,ModInt& x){
		ll tmp;
		o>>tmp;
		x=ModInt(tmp);
		return o;
	}
	friend ostream& operator<<(ostream &o,const ModInt& x){ return o<<x.v;}
};
using mint = ModInt<1000000007>;
V<mint> fact,ifact,invs;
// a,b >= 0 のみ
mint Choose(int a,int b){
	if(b<0 || a<b) return 0;
	return fact[a] * ifact[b] * ifact[a-b];
}

/*
// b >= 0 の範囲で、 Choose(a,b) = a(a-1)..(a-b+1) / b!
mint Choose(int a,int b){
	if(b<0 || a<b) return 0;
	return fact[a] * ifact[b] * ifact[a-b];
}
*/

void InitFact(int N){	//[0,N]
	N++;
	fact.resize(N);
	ifact.resize(N);
	invs.resize(N);
	fact[0] = 1;
	rep1(i,N-1) fact[i] = fact[i-1] * i;
	ifact[N-1] = fact[N-1].inv();
	for(int i=N-2;i>=0;i--) ifact[i] = ifact[i+1] * (i+1);
	rep1(i,N-1) invs[i] = fact[i-1] * ifact[i];
}

struct FunctionalGraph{
	//output
	vector<vector<int>> cycles;
	vector<vector<int>> G;	//a^-1 cycleの辺は除く


	vector<bool> vis;
	void setvis(int v){
		vis[v] = 1;
		for(int u:G[v]) setvis(u);
	}
	
	FunctionalGraph(vector<int> a){
		int N = a.size();
		vis.resize(N);
		G.resize(N);
		rep(i,N) G[a[i]].pb(i);
		rep(i,N) if(!vis[i]){
			int v = i;
			while(!vis[v]){
				vis[v] = 1;
				v = a[v];
			}
			vector<int> cycle;
			int s = v;
			do{
				cycle.pb(v);
				v = a[v];
			}while(v!=s);
			cycles.pb(cycle);

			int L = cycle.size();
			rep(j,L){
				int v = cycle[j];
				rep(k,G[a[v]].size()) if(G[a[v]][k] == v){
					G[a[v]].erase(G[a[v]].begin()+k);
					break;
				}
			}
			rep(j,L){
				int v = cycle[j];
				setvis(v);
			}
		}

	}
};


void solve(){
	int N; cin >> N;
	V<ll> A(N); rep(i,N) cin >> A[i];
	V<int> f(N); rep(i,N){ cin >> f[i], f[i]--;}
	VV<int> G(N);
	rep(i,N) G[f[i]].pb(i);
	V<ll> B(N);
	rep(i,N){
		ll x; cin >> x; B[i] = A[i] + x;
	}
	V<int> inc(N);	// 0: ? / 1: increase / -1: not increase
	rep(i,N){
		if(A[i] < A[f[i]]){
			inc[i] = 1;
		}else if(A[i] >= B[f[i]]){
			inc[i] = -1;
		}
	}
	V<int> dep(N);
	FunctionalGraph F(f);
	V<mint> ans(N);
	V<bool> done(N);
	auto Doit = [&](auto&& self, int v) -> void {
		if(done[v]) return;
		if(inc[v] == 1){
			ans[v] = B[v];
		}else if(inc[v] == -1){
			ans[v] = A[v];
		}else{
			dep[v] = dep[f[v]] + 1;
			mint p = invs[dep[v]+1];
			ans[v] = A[v] * (1-p) + B[v] * p;
		}
		done[v] = true;
		for(int u: G[v]) self(self,u);
	};
	for(auto c: F.cycles){
		bool all0 = true;
		for(int v: c) if(inc[v] != 0) all0 = false;
		if(all0) for(int v: c) inc[v] = -1;
		int root = -1;
		for(int v: c) if(inc[v] != 0) root = v;
		f[root] = -1;
		Doit(Doit,root);
	}
	rep(v,N) cout << ans[v] << " ";
	cout << endl;
}

int main(){
	cin.tie(0);
	ios::sync_with_stdio(false);		//DON'T USE scanf/printf/puts !!
	cout << fixed << setprecision(20);
	InitFact(TEN(6));

	int T; cin >> T;
	while(T--) solve();	
}