#include using namespace std; using lint = long long; using pi = array; #define sz(v) ((int)(v).size()) #define all(v) (v).begin(), (v).end() const int MAXN = 150005; const int MAXT = 4000000; struct node { int l, r; lint sum; int cnt; lint eval(lint k) { return sum + k * cnt; } } tree[MAXT]; int p; int newnode() { return ++p; } void pull(int p) { tree[p].sum = tree[tree[p].l].sum + tree[tree[p].r].sum; tree[p].cnt = tree[tree[p].l].cnt + tree[tree[p].r].cnt; } void init(int s, int e, int p) { if (s == e) { return; } int m = (s + e) / 2; tree[p].l = newnode(); tree[p].r = newnode(); init(s, m, tree[p].l); init(m + 1, e, tree[p].r); } void update(int pos, int s, int e, int r1, int r2, int v) { if (s == e) { tree[r2] = tree[r1]; tree[r2].sum += v; tree[r2].cnt += 1; return; } int m = (s + e) / 2; if (pos <= m) { tree[r2].l = newnode(); tree[r2].r = tree[r1].r; update(pos, s, m, tree[r1].l, tree[r2].l, v); } else { tree[r2].l = tree[r1].l; tree[r2].r = newnode(); update(pos, m + 1, e, tree[r1].r, tree[r2].r, v); } pull(r2); } vector gph[MAXN]; int din[MAXN], dout[MAXN], par[18][MAXN], dep[MAXN], rev[MAXN], piv; void dfs(int x, int p) { din[x] = piv++; rev[din[x]] = x; for (auto &y : gph[x]) { if (y != p) { par[0][y] = x; dep[y] = dep[x] + 1; dfs(y, x); } } dout[x] = piv; } bool lessHalf(pi sum, lint tot) { if (sum[0] * 2 < tot) return true; if (sum[0] * 2 == tot && sum[1] == 0) return true; return false; } int get_med(int s, int e, int p1, int p2, int k, int t, pi curSum, lint tot) { if (s == e) return s; int m = (s + e) / 2; pi cmpSum = curSum; cmpSum[0] += tree[tree[p2].l].eval(k) - tree[tree[p1].l].eval(k); cmpSum[1] += (s <= t && t <= m ? 1 : 0); if (lessHalf(cmpSum, tot)) { return get_med(m + 1, e, tree[p1].r, tree[p2].r, k, t, cmpSum, tot); } return get_med(s, m, tree[p1].l, tree[p2].l, k, t, curSum, tot); } pi operator+(const pi &a, const pi &b) { return pi{a[0] + b[0], a[1] + b[1]}; } pi get_sum(int s, int e, int ps, int pe, int p1, int p2, int k, int t) { if (e < ps || pe < s) return pi{0, 0}; if (s <= ps && pe <= e) { lint sum = tree[p2].eval(k) - tree[p1].eval(k); return pi{sum, ps <= t && t <= pe}; } int pm = (ps + pe) / 2; return get_sum(s, e, ps, pm, tree[p1].l, tree[p2].l, k, t) + get_sum(s, e, pm + 1, pe, tree[p1].r, tree[p2].r, k, t); } int n; lint asum[MAXN]; vector root; int query(int l, int r, int k, int d) { // cout << l << " " << r + 1 << " " << k << " " << d << "\n"; lint tot = asum[r + 1] - asum[l] + 1ll * (r - l + 1) * k; int v = get_med(0, n - 1, root[l], root[r + 1], k, din[d], pi{0, 0}, tot); v = rev[v]; auto sum = get_sum(din[v], dout[v] - 1, 0, n - 1, root[l], root[r + 1], k, din[d]); if (!lessHalf(sum, tot)) return v; for (int i = 17; i >= 0; i--) { if (dep[v] >= (1 >> i)) { int anc = par[i][v]; auto sum = get_sum(din[anc], dout[anc] - 1, 0, n - 1, root[l], root[r + 1], k, din[d]); if (lessHalf(sum, tot)) v = par[i][v]; } } return par[0][v]; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n - 1; i++) { int u, v; cin >> u >> v; gph[u].push_back(v); gph[v].push_back(u); } dfs(0, -1); for (int i = 1; i < 18; i++) { for (int j = 0; j < n; j++) { par[i][j] = par[i - 1][par[i - 1][j]]; } } vector a(n); for (auto &x : a) cin >> x; root.resize(n + 1); root[0] = newnode(); init(0, n - 1, root[0]); for (int i = 1; i <= n; i++) { root[i] = newnode(); update(din[i - 1], 0, n - 1, root[i - 1], root[i], a[i - 1]); asum[i] = asum[i - 1] + a[i - 1]; } int q; cin >> q; lint S = 0; while (q--) { lint a, b, z, d; cin >> a >> b >> z >> d; a += S; b += S * 2; z += (__int128)S * S % 150001; a %= n; b %= n; z %= 150001; if (a > b) swap(a, b); int ans = query(a, b, z, d); cout << ans << "\n"; S += ans; } }