#include #include using namespace std; using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vl = vector; #define rep3(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep2(i, a, b) rep3(i, a, b, 1) #define rep1(i, n) rep2(i, 0, n) #define rep0(n) rep1(aaaaa, n) #define ov4(a, b, c, d, name, ...) name #define rep(...) ov4(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__) #define per(i, a, b) for (ll i = (a) - 1; i >= (b); i--) #define fore(e, v) for (auto &&e : v) #define all(a) begin(a), end(a) #define sz(a) (int)(size(a)) #define lb(v, x) (lower_bound(all(v), x) - begin(v)) #define eb emplace_back template bool chmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } template bool chmax(T &a, const S &b) { return a < b ? a = b, 1 : 0; } const int INF = 1e9 + 100; const ll INFL = 3e18 + 100; #define i128 __int128_t struct _ { _() { cin.tie(0)->sync_with_stdio(0), cout.tie(0); } } __; using mint = atcoder::modint998244353; int main() { int N; cin >> N; vl A(N); for (ll &i : A) cin >> i; vector G(N); vi B(N), C(N), P(N, -1); rep(i, 1, N) cin >> B[i]; rep(i, 1, N) cin >> C[i]; rep(i, 1, N) cin >> P[i], --P[i]; vector subtree(N); rep(i, N) { subtree[i] = A[i]; } per(i, N, 1) { subtree[P[i]] += subtree[i]; } vector> edge(N); rep(i, 1, N) { edge[P[i]].push_back(pii{C[i], i}); edge[i].push_back(pii{B[i], P[i]}); } mint div6 = mint(1) / 6; mint ans = 0, allsum = subtree[0]; // k in [l,r) auto calc = [&](mint l, mint r) -> mint { mint ml = l, mr = r; return (ml - mr) * (2 * mr * mr + mr * (2 * ml - 3 * (allsum + 1)) + (ml - 1) * (2 * ml - 3 * allsum - 1)) * div6; }; rep(i, N) { sort(all(edge[i])); for (auto [x, v] : edge[i]) { if (v == P[i]) continue; ans += (allsum - subtree[v]) * subtree[v]; } int l = 1; mint s = 0; for (auto [x, v] : edge[i]) { ans += calc(l + s, x + s); l = x; if (v == P[i]) s += allsum - subtree[i]; else s += subtree[v]; } ans += calc(l + s, A[i] + s); } cout << (ans*2).val() << '\n'; }