#include <bits/stdc++.h>
using namespace std; 
const int P = 1e9 + 7; 
const int N = 5e5 + 5; 

inline int poww(int a, int b) {
    int r = 1; 
    for (; b; b >>= 1, a = 1ll * a * a % P)
        if (b & 1) r = 1ll * r * a % P; 
    return r; 
}

int n, a[N], b[N], w[N], f[N], d[N], vis[N]; 
int fac[N], ifac[N]; 

void dfs(int x) {
    if (f[x] || d[x]) return; 
    if (vis[x]) return f[x] = -1, void(); 
    vis[x] = 1; dfs(b[x]); vis[x] = 0; 
    if (f[b[x]] == -1) f[x] = -1; 
    else d[x] = d[b[x]] + 1; 
}

void solve(void) {
    cin >> n; 
    for (int i = fac[0] = 1; i <= n; ++i) fac[i] = 1ll * fac[i - 1] * i % P; 
    ifac[n] = poww(fac[n], P - 2); 
    for (int i = n - 1; i >= 0; --i) ifac[i] = 1ll * ifac[i + 1] * (i + 1) % P; 
    for (int i = 1; i <= n; ++i) cin >> a[i], d[i] = vis[i] = 0; 
    for (int i = 1; i <= n; ++i) cin >> b[i]; 
    for (int i = 1; i <= n; ++i) cin >> w[i]; 
    for (int i = 1; i <= n; ++i) {
        f[i] = 0; 
        if (a[i] >= a[b[i]] + w[b[i]]) f[i] = -1; // 不发生
        if (a[i] < a[b[i]]) f[i] = 1; 
    }
    for (int i = 1; i <= n; ++i) {
        if (f[i] == -1) cout << a[i] << " \n"[i == n]; 
        if (f[i] == 1) cout << a[i] + w[i] << " \n"[i == n]; 
        if (f[i] == 0) dfs(i), cout << (a[i] + 1ll * w[i] * ifac[d[i] + 1]) % P << " \n"[i == n]; 
    }
}

int main(void) {
    ios::sync_with_stdio(0); 
    int T; cin >> T; 
    while (T--) solve(); 
    return 0; 
}