#include<bits/stdc++.h>
#define taskname "A"
using namespace std;
template<class T>void minimize(T& a, T b){
if(a > b){
a = b;
}
}
template<class T>void maximize(T& a, T b){
if(a < b){
a = b;
}
}
const int lim = 25e4 + 5;
int n, q, h[lim], a[lim], b[lim];
namespace sub1{
void solve(){
for(int _ = 0; _ < q; _++){
int l, r, ans = -1;
cin >> l >> r;
for(int i = l; i < r; i++){
for(int j = r; j > i; j--){
int d = j - i;
if(max(a[i], a[j]) <= d && min(b[i], b[j]) >= d){
maximize(ans, abs(h[i] - h[j]));
}
}
}
cout << ans << "\n";
}
}
}
namespace sub2{
void solve(){
vector<vector<int>>f(n + 1, vector<int>(n + 1, -1));
for(int i = 1; i < n; i++){
for(int l = 1; true; l++){
int r = l + i;
f[l][r] = max({f[l][r - 1], f[l + 1][r], max(a[l], a[r]) <= i && min(b[l], b[r]) >= i ? abs(h[l] - h[r]) : -1});
if(r == n){
break;
}
}
}
for(int _ = 0; _ < q; _++){
int l, r;
cin >> l >> r;
cout << f[l][r] << "\n";
}
}
}
namespace sub34{
const int INF = 1e9 + 5;
struct Data{
int max_h, min_h, max_delta, laz_ma, laz_mi;
Data(){
max_h = laz_ma = max_delta = -(min_h = laz_mi = INF);
}
};
Data merge(Data a, Data b){
Data c;
c.max_h = max(a.max_h, b.max_h);
c.min_h = min(a.min_h, b.min_h);
c.max_delta = max(a.max_delta, b.max_delta);
return c;
}
Data st[lim << 2];
void refine_delta(int id, int H, bool min_la, bool max_la){
if(abs(H) == INF){
return;
}
maximize(st[id].max_delta, max(H - st[id].min_h, st[id].max_h - H));
if(min_la){
minimize(st[id].laz_mi, H);
}
if(max_la){
maximize(st[id].laz_ma, H);
}
}
void push_down(int id){
refine_delta(id << 1, st[id].laz_mi, true, false);
refine_delta(id << 1, st[id].laz_ma, false, true);
refine_delta(id << 1 | 1, st[id].laz_mi, true, false);
refine_delta(id << 1 | 1, st[id].laz_ma, false, true);
st[id].laz_ma = -(st[id].laz_mi = INF);
}
void update_h(int id, int l, int r, int p, int x){
if(l == r){
if(x == 0){
st[id].max_h = -(st[id].min_h = INF);
}
else{
st[id].min_h = st[id].max_h = x;
}
return;
}
int m = (l + r) >> 1;
push_down(id);
if(m < p){
update_h(id << 1 | 1, m + 1, r, p, x);
}
else{
update_h(id << 1, l, m, p, x);
}
st[id] = merge(st[id << 1], st[id << 1 | 1]);
}
void update(int id, int l, int r, int u, int v, int H){
if(l > v || r < u){
return;
}
if(u <= l && v >= r){
refine_delta(id, H, true, true);
return;
}
int m = (l + r) >> 1;
push_down(id);
update(id << 1, l, m, u, v, H);
update(id << 1 | 1, m + 1, r, u, v, H);
st[id] = merge(st[id << 1], st[id << 1 | 1]);
}
Data get(int id, int l, int r, int u, int v){
if(l > v || r < u){
return Data();
}
if(u <= l && v >= r){
return st[id];
}
int m = (l + r) >> 1;
push_down(id);
return merge(get(id << 1, l, m, u, v), get(id << 1 | 1, m + 1, r, u, v));
}
vector<pair<int, int>>query[lim];
vector<int>event[lim];
int ans[lim];
void solve(){
for(int i = 0; i < q; i++){
int l, r;
cin >> l >> r;
query[r].emplace_back(l, i);
}
for(int r = 1; r <= n; r++){
for(int& x : event[r]){
if(x < 0){
update_h(1, 1, n, -x, 0);
}
else{
update_h(1, 1, n, x, h[x]);
}
}
int L = max(1, r - b[r]), R = r - a[r];
if(L <= R){
update(1, 1, n, L, R, h[r]);
}
for(int i = 0; i < query[r].size(); i++){
ans[query[r][i].second] = get(1, 1, n, query[r][i].first, r).max_delta;
}
if(r + a[r] <= n){
event[r + a[r]].emplace_back(r);
event[min(r + b[r], n) + 1].emplace_back(-r);
}
}
for(int i = 0; i < q; i++){
cout << max(ans[i], -1) << "\n";
}
}
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if(fopen(taskname".inp", "r")){
freopen(taskname".inp", "r", stdin);
}
cin >> n;
for(int i = 1; i <= n; i++){
cin >> h[i] >> a[i] >> b[i];
}
cin >> q;
if(max(n, q) <= 300){
sub1::solve();
}
else if(n <= 2000){
sub2::solve();
}
else{
sub34::solve();
}
}
Compilation message (stderr)
antennas.cpp: In function 'int main()':
antennas.cpp:170:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
170 | freopen(taskname".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
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