#define local
#ifndef local
#include ""
#endif
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define int long long
#define fi first
#define se second
#define pb push_back
#define mp make_pair
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
const int N = 4e5 + 5;
const int oo = 1e18 + 7, mod = 1e9 + 7;
mt19937 rng(1);
int rnd(int l, int r){
int temp = rng() % (r - l + 1);
return abs(temp) + l;
}
int n, a[N], b[N], h[N];
int cal[N];
int mini[N << 2], maxi[N << 2];
ii updates[N << 2];
int total[N << 2];
void build(int id, int l, int r){
mini[id] = oo, maxi[id] = -oo;
updates[id] = {oo, -oo};
total[id] = -oo;
if(l == r) return;
int mid = (l + r) >> 1;
build(id << 1, l, mid);
build(id << 1 | 1, mid + 1, r);
}
// ins1, er1, get1 -> for calculating cal[]
void ins1(int id, int l, int r, int pos){
if(l == r){
mini[id] = maxi[id] = h[pos];
return;
}
int mid = (l + r) >> 1;
if(pos <= mid) ins1(id << 1, l, mid, pos);
else ins1(id << 1 | 1, mid + 1, r, pos);
mini[id] = min(mini[id << 1], mini[id << 1 | 1]);
maxi[id] = max(maxi[id << 1], maxi[id << 1 | 1]);
}
void er1(int id, int l, int r, int pos){
if(l == r){
mini[id] = oo;
maxi[id] = -oo;
return;
}
int mid = (l + r) >> 1;
if(pos <= mid) er1(id << 1, l, mid, pos);
else er1(id << 1 | 1, mid + 1, r, pos);
mini[id] = min(mini[id << 1], mini[id << 1 | 1]);
maxi[id] = max(maxi[id << 1], maxi[id << 1 | 1]);
}
ii get1(int id, int l, int r, int L, int R){
if(l > R || r < L || l > r) return {oo, -oo};
if(l >= L && r <= R) return {mini[id], maxi[id]};
int mid = (l + r) >> 1;
ii a = get1(id << 1, l, mid, L, R);
ii b = get1(id << 1 | 1, mid + 1, r, L, R);
return {min(a.fi, b.fi), max(a.se, b.se)};
}
void lazy(int id){
int mn = updates[id].fi, mx = updates[id].se;
updates[id << 1].fi = min(updates[id << 1].fi, mn);
updates[id << 1 | 1].fi = min(updates[id << 1 | 1].fi, mn);
updates[id << 1].se = max(updates[id << 1].se, mx);
updates[id << 1 | 1].se = max(updates[id << 1 | 1].se, mx);
total[id << 1] = max(total[id << 1], max(updates[id << 1].se - mini[id << 1], maxi[id << 1] - updates[id << 1].fi));
total[id << 1 | 1] = max(total[id << 1 | 1], max(updates[id << 1 | 1].se - mini[id << 1 | 1], maxi[id << 1 | 1] - updates[id << 1 | 1].fi));
updates[id] = {oo, -oo};
}
void merge(int id){
total[id] = max(total[id], max(total[id << 1], total[id << 1 | 1]));
mini[id] = min(mini[id << 1], mini[id << 1 | 1]);
maxi[id] = max(maxi[id << 1], maxi[id << 1 | 1]);
// cout << "PRINT " << id << " " << total[id] << "\n";
}
void ins2(int id, int l, int r, int pos){
if(l == r){
updates[id] = {oo, -oo}; total[id] = -oo;
//minni[id] = {a[pos], a[pos]};
mini[id] = maxi[id] = h[pos];
return;
}
lazy(id);
int mid = (l + r) >> 1;
if(pos <= mid) ins2(id << 1, l, mid, pos);
else ins2(id << 1 | 1, mid + 1, r, pos);
merge(id);
}
void er2(int id, int l, int r, int pos){
if(l == r){
updates[id] = {oo, -oo}; total[id] = -oo;
//minni[id] = {a[pos], a[pos]};
mini[id] = oo, maxi[id] = -oo;
return;
}
lazy(id);
int mid = (l + r) >> 1;
if(pos <= mid) er2(id << 1, l, mid, pos);
else er2(id << 1 | 1, mid + 1, r, pos);
merge(id);
}
void upd2(int id, int l, int r, int L, int R, int val){
if(l > R || r < L || l > r) return;
if(l >= L && r <= R){
updates[id] = {min(updates[id].fi, val), max(updates[id].se, val)};
total[id] = max(total[id], max(updates[id].se - mini[id], maxi[id] - updates[id].fi));
return;
}
lazy(id);
int mid = (l + r) >> 1;
upd2(id << 1, l, mid, L, R, val);
upd2(id << 1 | 1, mid + 1, r, L, R, val);
merge(id);
}
int get2(int id, int l, int r, int L, int R){
// cout << "TRAV " << id << " " << l << " " << r << " " << mini[id] << " " << maxi[id] << " " << total[id] << "\n";
if(l > R || r < L || l > r) return -oo;
if(l >= L && r <= R) return total[id];
lazy(id);
int mid = (l + r) >> 1;
return max(get2(id << 1, l, mid, L, R), get2(id << 1 | 1, mid + 1, r, L, R));
}
// this is just for storing the ones that are done
int IT2[N << 2];
void upd3(int id, int l, int r, int pos, int val){
if(l == r){
IT2[id] = val;
return;
}
int mid = (l + r) >> 1;
if(pos <= mid) upd3(id << 1, l, mid, pos, val);
else upd3(id << 1 | 1, mid + 1, r, pos, val);
IT2[id] = max(IT2[id << 1], IT2[id << 1 | 1]);
}
int get3(int id, int l, int r, int L, int R){
if(l > R || r < L || l > r) return -oo;
if(l >= L && r <= R) return IT2[id];
int mid = (l + r) >> 1;
return max(get3(id << 1, l, mid, L, R), get3(id << 1 | 1, mid + 1, r, L, R));
}
vector<ii> upds[N];
int q, answer[N];
vector<ii> queries[N];
#ifdef local
void process(){
cin >> n;
for(int i = 1; i <= n; i++) cin >> h[i] >> a[i] >> b[i];
build(1, 1, n);
cin >> q;
for(int i = 1; i <= q; i++){
int l, r;
cin >> l >> r;
queries[l].pb({r, i});
}
// step 1: calculate the value for i (assuming that i is at the right) for each i
for(int i = 0; i <= n; i++) upds[i].clear();
for(int i = 1; i <= n; i++){
upds[i + a[i]].pb({i, 1});
upds[i + b[i] + 1].pb({i, -1});
//cout << i + a[i] << " " << i + b[i] + 1 << "\n";
}
for(int i = 1; i <= n; i++){
for(auto it : upds[i]){
// cout << i << " " << it.fi << " " << it.se << "\n";
if(it.se == 1) ins1(1, 1, n, it.fi);
else er1(1, 1, n, it.fi);
}
ii temp = get1(1, 1, n, max(1LL, i - b[i]), max(0LL, i - a[i]));
//cout << max(1LL, i - b[i]) << " " << max(0LL, i - a[i]) << " " << temp.fi << " " << temp.se << "\n";
//cout << i << " " << i - b[i] << " " << i - a[i] << "\n";
cal[i] = max(h[i] - temp.fi, temp.se - h[i]);
// cout << cal[i] << "\n";
}
for(int i = 1; i <= (n << 2); i++) IT2[i] = -oo;
build(1, 1, n);
for(int i = 0; i <= n; i++) upds[i].clear();
for(int i = 1; i <= n; i++){
upds[max(0LL, i - a[i])].pb({i, 1});
upds[max(0LL, i - b[i] - 1)].pb({i, -1});
}
for(int i = n; i >= 1; i--){
for(auto it : upds[i]){
if(it.se == 1) ins2(1, 1, n, it.fi);
else{
er2(1, 1, n, it.fi);
// cout << it.fi << " " << it.fi - b[it.fi] - 1 << " " << cal[it.fi] << "\n";
upd3(1, 1, n, it.fi, cal[it.fi]);
}
// cout << "UPDS " << it.fi << " " << it.se << "\n";
}
upd2(1, 1, n, min(i + a[i], n + 1), min(i + b[i], n), h[i]);
for(auto it : queries[i]){
/// if(it.se == 13) cout << i << " " << it.fi << " " << get2(1, 1, n, i, it.fi) << " " << get3(1, 1, n, i, it.fi) << "\n";
answer[it.se] = max(get2(1, 1, n, i, it.fi), get3(1, 1, n, i, it.fi));
}
}
for(int i = 1; i <= q; i++) cout << max(answer[i], -1LL) << "\n";
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
// freopen("grader.inp", "r", stdin);
// freopen("grader.out", "w", stdout);
process();
}
#endif
