#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 2e5 + 5;
const int inf = 1e18;
int n, q, h[N], a[N], b[N], L[N], R[N], ans[N];
vector<pair<int, int>> ev[2 * N], qry[N];
struct segtree {
int size = 1;
vector<pair<int, int>> seg; // max(-x), max(y-x)
vector<int> lazy;
void init(int sz) {
while (size < sz) size *= 2;
seg.assign(2 * size + 10, {-inf, -inf});
lazy.assign(2 * size + 10, 0);
}
void push(int id) {
// cout << "push: " << id << " " << lazy[id] << " " << seg[id].first << '\n';
seg[id].second = max(seg[id].second, lazy[id] + seg[id].first); // seg[id].second is permanent!
if (id < size) {
for (int i = 0; i < 2; i++) lazy[id * 2 + i] = max(lazy[id * 2 + i], lazy[id]);
}
lazy[id] = 0;
}
void pull(int id) {
seg[id].first = max(seg[id * 2].first, seg[id * 2 + 1].first);
seg[id].second = max({seg[id].second, seg[id * 2].second, seg[id * 2 + 1].second});
}
void update(int ql, int qr, int v, int l, int r, int id) {
if (ql > qr) return;
push(id);
if (qr < l || r < ql) return;
if (ql <= l && r <= qr) {
lazy[id] = max(lazy[id], v);
push(id);
return;
}
int mid = (l + r) / 2;
update(ql, qr, v, l, mid, id * 2);
update(ql, qr, v, mid + 1, r, id * 2 + 1);
pull(id);
}
void activate(int pos, int v, int l, int r, int id) {
push(id);
if (l == r) {
seg[id].first = max(seg[id].first, v);
seg[id].second = -inf;
return;
}
int mid = (l + r) / 2;
if (pos <= mid) activate(pos, v, l, mid, id * 2);
else activate(pos, v, mid + 1, r, id * 2 + 1);
pull(id);
}
void deactivate(int pos, int l, int r, int id) {
push(id);
if (l == r) {
seg[id].first = -inf;
return;
}
int mid = (l + r) / 2;
if (pos <= mid) deactivate(pos, l, mid, id * 2);
else deactivate(pos, mid + 1, r, id * 2 + 1);
pull(id);
}
int query(int ql, int qr, int l, int r, int id) {
if (ql > qr) return -1;
push(id);
if (qr < l || r < ql) return -1;
if (ql <= l && r <= qr) {
// cout << l << " " << r << " return " << seg[id].second << '\n';
return seg[id].second;
}
int mid = (l + r) / 2;
return max(query(ql, qr, l, mid, id * 2), query(ql, qr, mid + 1, r, id * 2 + 1));
}
void activate(int i) {
// cout << "activate " << i << '\n';
activate(i, -h[i], 1, n, 1);
}
void deactivate(int i) {
// cout << "deactivate " << i << '\n';
deactivate(i, 1, n, 1);
}
void print_tree(int l, int r, int id) {
int mid = (l + r) / 2;
// cout << l << " " << r << " " << seg[id].second << '\n';
if (l == r) return;
print_tree(l, mid, id * 2);
print_tree(mid + 1, r, id * 2 + 1);
}
};
void solve() {
for (int i = 1; i <= n; i++) {
ev[i + a[i]].push_back({i, 1});
ev[i + b[i] + 1].push_back({i, -1});
}
segtree ST;
ST.init(n + 1);
for (int i = 1; i <= q; i++) qry[R[i]].push_back({L[i], i});
for (int i = 1; i <= n; i++) {
for (auto& [x, y] : ev[i]) {
if (y == 1) ST.activate(x);
else ST.deactivate(x);
// cout << "printtree\n";
// ST.print_tree(1, n, 1);
}
// cout << "update: " << max(1LL, i - b[i]) << " " << i - a[i] << ' ' << h[i] << '\n';
ST.update(max(1LL, i - b[i]), i - a[i], h[i], 1, n, 1);
for (auto& [l, id] : qry[i]) {
// cout << ST.query(1, 1, 1, n, 1) << '\n';
// cout << ST.query(2, 2, 1, n, 1) << '\n';
// cout << ST.query(1, 2, 1, n, 1) << '\n';
// cout << ST.query(3, 3, 1, n, 1) << '\n';
// cout << ST.query(4, 4, 1, n, 1) << '\n';
// cout << ST.query(3, 4, 1, n, 1) << '\n';
// cout << l << " " << i << " " << ST.query(l, i, 1, n, 1) << '\n';
ans[id] = max(ans[id], ST.query(l, i, 1, n, 1));
}
// cout << "printtree\n";
// ST.print_tree(1, n, 1);
}
for (int i = 1; i <= n; i++) {
ev[i].clear();
qry[i].clear();
}
}
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0);
cin >> n;
for (int i = 1; i <= n; i++) cin >> h[i] >> a[i] >> b[i];
cin >> q;
for (int i = 1; i <= q; i++) {
cin >> L[i] >> R[i];
ans[i] = -1;
}
solve();
reverse(h + 1, h + n + 1);
reverse(a + 1, a + n + 1);
reverse(b + 1, b + n + 1);
for (int i = 1; i <= q; i++) {
L[i] = n - L[i] + 1, R[i] = n - R[i] + 1;
swap(L[i], R[i]);
}
// for (int i = 1; i <= n; i++) cout << h[i] << " " << a[i] << " " << b[i] << '\n';
// for (int i = 1; i <= q; i++) cout << L[i] << " " << R[i] << '\n';
solve();
for (int i = 1; i <= q; i++) cout << ans[i] << '\n';
}
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