#include<bits/stdc++.h>
#define int long long
#define pii pair<int,int>
#define fi first
#define se second
using namespace std;
const int N = 2e5 + 10, oo = 1e17;
int n, h[N], q, a[N], b[N], ans[N], mi[4 * N], lz[4 * N], t[4 * N];
pii que[N];
vector<int> st[N], ed[N];
struct querry{
int l, id;
};
vector<querry> R[N];
void push(int s){
if(!lz[s]) return;
lz[s * 2] = max(lz[s * 2], lz[s]);
lz[s * 2 + 1] = max(lz[s * 2 + 1], lz[s]);
t[s * 2] = max(t[s * 2], lz[s] - mi[s * 2]);
t[s * 2 + 1] = max(t[s * 2 + 1], lz[s] - mi[s * 2 + 1]);
lz[s] = 0;
}
void build(int s, int l, int r){
if(l == r){
mi[s] = oo;
t[s] = -1;
lz[s] = 0;
return;
}
int mid = (l + r) / 2;
build(s * 2, l, mid);
build(s * 2 + 1, mid + 1, r);
lz[s] = 0;
t[s] = -1;
mi[s] = min(mi[s * 2], mi[s * 2 + 1]);
}
void up_min(int s, int l, int r, int i, int val){
if(i < l || r < i) return;
if(l == r){
mi[s] = val;
return;
}
int mid = (l + r) / 2;
push(s);
up_min(s * 2, l, mid, i, val);
up_min(s * 2 + 1, mid + 1, r, i, val);
mi[s] = min(mi[s * 2], mi[s * 2 + 1]);
}
void up(int s, int l, int r, int u, int v, int val){
if(r < u || v < l) return;
if(u <= l && r <= v){
t[s] = max(t[s], val - mi[s]);
lz[s] = val;
return;
}
int mid = (l + r) / 2;
push(s);
up(s * 2, l, mid, u, v, val);
up(s * 2 + 1, mid + 1, r, u, v, val);
t[s] = max(t[s * 2], t[s * 2 + 1]);
}
int get(int s, int l, int r, int u, int v){
if(r < u || v < l) return -1;
if(u <= l && r <= v) return t[s];
int mid = (l + r) / 2;
if(l != r) push(s);
return max(get(s * 2, l, mid, u, v), get(s * 2 + 1, mid + 1, r, u, v));
}
int get_min(int s, int l, int r, int u, int v){
if(r < u || v < l) return oo;
if(u <= l && r <= v) return mi[s];
int mid = (l + r) / 2;
if(l != r) push(s);
return min(get_min(s * 2, l, mid, u, v), get_min(s * 2 + 1, mid + 1, r, u, v));
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
if(fopen("task.inp","r")){
freopen("task.inp","r",stdin);
freopen("task.out","w",stdout);
}
#define task ""
if(fopen(task".inp","r")){
freopen(task".inp","r",stdin);
freopen(task".out","w",stdout);
}
cin >> n;
for(int i = 1; i <= n; i++){
cin >> h[i] >> a[i] >> b[i];
st[min(i + a[i], n + 1)].push_back(i);
ed[min(i + b[i], n) + 1].push_back(i);
}
cin >> q;
for(int i = 1; i <= q; i++){
int l, r;
cin >> l >> r;
que[i] = {l, r};
ans[i] = -1;
R[r].push_back({l, i});
}
build(1, 1, n + 1);
for(int i = 2; i <= n; i++){
for(int v : st[i]) up_min(1, 1, n + 1, v, h[v]);
for(int v : ed[i]) up_min(1, 1, n + 1, v, oo);
if(i - a[i] > 0) up(1, 1, n + 1, max(i - b[i], 1ll), max(i - a[i], 1ll), h[i]);
for(auto [l, id] : R[i]){
ans[id] = get(1, 1, n + 1, l, i);
}
}
for(int i = 1; i <= n; i++){
st[i].clear();
ed[i + 1].clear();
R[i].clear();
}
st[n + 1].clear();
int it = n;
for(int i = 1; i <= (n + 1) / 2; i++){
swap(a[i], a[it]);
swap(b[i], b[it]);
swap(h[i], h[it]);
it--;
}
for(int i = 1; i <= n; i++){
st[min(i + a[i], n + 1)].push_back(i);
ed[min(i + b[i], n) + 1].push_back(i);
}
//for(int i = 1; i <= n; i++) cout<<h[i]<<" "<<a[i]<<" "<<b[i]<<"\n";
for(int i = 1; i <= q; i++){
auto[x , y] = que[i];
int l = n - y + 1;
int r = n - x + 1;
// cerr<<l<<" "<<r<<"\n";
R[r].push_back({l, i});
}
//for(int i = 1; i <= n; i++) cout<<h[i]<<" "<<a[i]<<" "<<b[i]<<"\n";
build(1, 1, n + 1);
for(int i = 2; i <= n; i++){
for(int v : st[i]) up_min(1, 1, n + 1, v, h[v]);
for(int v : ed[i]) up_min(1, 1, n + 1, v, oo);
if(i - a[i] > 0) up(1, 1, n + 1, max(i - b[i], 1ll), max(i - a[i], 1ll), h[i]);
// cerr<<get(1, 1, n + 1, 1, 1)<<" "<<i<<"\n";
for(auto [l, id] : R[i]){
// for(int j = 1; j <= n; j++) cerr<<get(1, 1, n + 1, j, j)<<" ";
ans[id] = max(ans[id], get(1, 1, n + 1, l, i));
}
}
for(int i = 1; i <= q; i++) cout<<ans[i]<<"\n";
}
Compilation message (stderr)
antennas.cpp: In function 'int32_t main()':
antennas.cpp:89:14: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
89 | freopen("task.inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
antennas.cpp:90:14: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
90 | freopen("task.out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
antennas.cpp:94:14: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
94 | freopen(task".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
antennas.cpp:95:14: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
95 | freopen(task".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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