#include <bits/stdc++.h>
#define _rep(i, x, y) for(int i = x; i <= y; ++i)
#define _req(i, x, y) for(int i = x; i >= y; --i)
#define _rev(i, u) for(int i = head[u]; i; i = e[i].nxt)
#define pb push_back
#define fi first
#define se second
#define mst(f, i) memset(f, i, sizeof f)
using namespace std;
#ifdef ONLINE_JUDGE
#define debug(...) 0
#else
#define debug(...) fprintf(stderr, __VA_ARGS__), fflush(stderr)
#endif
typedef long long ll;
typedef pair<int, int> PII;
namespace fastio{
    #ifdef ONLINE_JUDGE
    char ibuf[1 << 20],*p1 = ibuf, *p2 = ibuf;
    #define get() p1 == p2 && (p2 = (p1 = ibuf) + fread(ibuf, 1, 1 << 20, stdin), p1 == p2) ? EOF : *p1++
    #else
    #define get() getchar()
    #endif
    template<typename T> inline void read(T &t){
        T x = 0, f = 1;
        char c = getchar();
        while(!isdigit(c)){
            if(c == '-') f = -f;
            c = getchar();
        }
        while(isdigit(c)) x = x * 10 + c - '0', c = getchar();
        t = x * f;
    }
    template<typename T, typename ... Args> inline void read(T &t, Args&... args){
        read(t);
        read(args...);
    }
    template<typename T> void write(T t){
        if(t < 0) putchar('-'), t = -t;
        if(t >= 10) write(t / 10);
        putchar(t % 10 + '0');
    }
    template<typename T, typename ... Args> void write(T t, Args... args){
        write(t), putchar(' '), write(args...);
    }
    template<typename T> void writeln(T t){
        write(t);
        puts("");
    }
    template<typename T> void writes(T t){
        write(t), putchar(' ');
    }
    #undef get
};
using namespace fastio;
#define multitest() int T; read(T); _rep(tCase, 1, T)
namespace Calculation{
    const ll mod = 1e9 + 7;
    ll ksm(ll p, ll h){ll base = p % mod, res = 1; while(h){if(h & 1ll) res = res * base % mod; base = base * base % mod, h >>= 1ll;} return res;}
    void dec(ll &x, ll y){x = ((x - y) % mod + mod) % mod;}
    void add(ll &x, ll y){x = (x + y) % mod;}
    void mul(ll &x, ll y){x = x * y % mod;}
    ll sub(ll x, ll y){return ((x - y) % mod + mod) % mod;}
    ll pls(ll x, ll y){return ((x + y) % mod + mod) % mod;}
    ll mult(ll x, ll y){return x * y % mod;}
}
using namespace Calculation;
const int N = 5e5 + 5, _ = 5e5;
ll n, a[N], b[N], w[N], ans[N], fac[N], ifac[N];
bool nxt[N], nxt2[N];
bool vis[N];
ll f[N];
void dfs(int u){
    if(vis[u]) return;
    vis[u] = 1;
    if(nxt2[u]) f[u] = 1;
    dfs(b[u]);
    if(!nxt2[u]){
        f[u] = !f[b[u]] ? 0 : f[b[u]] + 1;
        if(!nxt[u]) f[u] = 0;
    }
}
int main(){
    fac[0] = ifac[0] = fac[1] = ifac[1] = 1;
    _rep(i, 2, _) fac[i] = fac[i - 1] * i % mod, ifac[i] = (mod - mod / i) * ifac[mod % i] % mod;
    _rep(i, 2, _) ifac[i] = ifac[i - 1] * ifac[i] % mod;
    ifac[0] = 0;
    multitest(){
        read(n);
        _rep(i, 1, n) read(a[i]);
        _rep(i, 1, n) read(b[i]);
        _rep(i, 1, n) read(w[i]);
        _rep(i, 1, n) nxt[i] = a[i] < a[b[i]] + w[b[i]], nxt2[i] = a[i] < a[b[i]];
        _rep(i, 1, n) if(!vis[i]) dfs(i);
        _rep(i, 1, n){
            ll cur = ifac[f[i]] * (a[i] + w[i]) % mod + (1 + mod - ifac[f[i]]) * a[i] % mod;
            writes(cur % mod);
        }   
        puts("");
        _rep(i, 1, n) f[i] = vis[i] = 0;
    }
    return 0;
}