#include "bits/stdc++.h"
using namespace std;
#ifdef duc_debug
#include "bits/debug.h"
#else
#define debug(...)
#endif
const int maxn = 2e5 + 5;
const int inf = 1e9 + 100;
int n, a[maxn], b[maxn], h[maxn];
int ql[maxn], qr[maxn], q;
int res[maxn];
vector<int> ev[maxn];
vector<pair<int, int>> qq[maxn];
pair<int, int> operator+(const pair<int, int> &a, const pair<int, int> &b) {
return make_pair(min(a.first, b.first), max(a.second, b.second));
}
struct segment_tree {
pair<int, int> tree[maxn << 2];
int lazy[maxn << 2];
segment_tree() {
for (int i = 1; i <= n * 4; ++i) {
tree[i] = make_pair(inf, -inf);
lazy[i] = 0;
}
}
void down(int ind, int l, int r) {
tree[ind].second = max(tree[ind].second, lazy[ind] - tree[ind].first);
if (l != r) {
lazy[ind << 1] = max(lazy[ind << 1], lazy[ind]);
lazy[ind << 1 | 1] = max(lazy[ind << 1 | 1], lazy[ind]);
}
lazy[ind] = 0;
}
void update(int x, int y, int val, int ind = 1, int l = 1, int r = n) {
if (lazy[ind]) down(ind, l, r);
if (l > y || r < x) return;
if (x <= l and r <= y) {
lazy[ind] = val;
down(ind, l, r);
return;
}
int mid = (l + r) >> 1;
update(x, y, val, ind << 1, l, mid);
update(x, y, val, ind << 1 | 1, mid + 1, r);
tree[ind] = tree[ind << 1] + tree[ind << 1 | 1];
}
void assign(int pos, int val, int ind = 1, int l = 1, int r = n) {
if (lazy[ind]) down(ind, l, r);
if (l > pos || r < pos) return;
if (l == r) {
tree[ind].first = val;
return;
}
int mid = (l + r) >> 1;
assign(pos, val, ind << 1, l, mid);
assign(pos, val, ind << 1 | 1, mid + 1, r);
tree[ind] = max(tree[ind << 1], tree[ind << 1 | 1]);
}
pair<int, int> get(int x, int y, int ind = 1, int l = 1, int r = n) {
if (lazy[ind]) down(ind, l, r);
if (l > y || r < x) return make_pair(inf, -inf);
if (x <= l and r <= y) {
return tree[ind];
}
int mid = (l + r) >> 1;
return get(x, y, ind << 1, l, mid) + get(x, y, ind << 1 | 1, mid + 1, r);
}
} st;
void solve() {
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 >> ql[i] >> qr[i];
res[i] = -1;
}
for (int ite = 0; ite < 2; ++ite) {
for (int i = 1; i <= n + 1; ++i) {
ev[i].clear();
qq[i].clear();
}
for (int i = 1; i <= n; ++i) {
int l = i + a[i], r = min(n, i + b[i]);
if (l <= n) {
ev[l].push_back(i);
ev[r + 1].push_back(-i);
}
}
for (int i = 1; i <= q; ++i) {
qq[qr[i]].emplace_back(ql[i], i);
}
st = segment_tree();
for (int i = 1; i <= n; ++i) {
for (auto j:ev[i]) {
if (j > 0) {
st.assign(j, h[j]);
} else {
st.assign(-j, inf);
}
}
int l = max(1, i - b[i]), r = i - a[i];
if (r >= 1) {
st.update(l, r, h[i]);
}
for (auto j:qq[i]) {
res[j.second] = max(res[j.second], st.get(j.first, i).second);
}
}
reverse(a + 1, a + n + 1);
reverse(b + 1, b + n + 1);
reverse(h + 1, h + n + 1);
for (int i = 1; i <= q; ++i) {
ql[i] = n - ql[i] + 1, qr[i] = n - qr[i] + 1;
swap(ql[i], qr[i]);
}
}
for (int i = 1; i <= n; ++i) {
cout << res[i] << "\n";
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
solve();
return 0;
}
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