This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(0);cin.tie(0);
#define s second
#define f first
typedef long long ll;
const ll MOD = 1e9+9;
const ll LOGN = 20;
const ll MAXN = 2e5 + 100;
struct Ant {
ll H, A, B;
Ant() { }
void read() {
cin >> H >> A >> B;
}
};
vector<Ant> antenna;
vector<pair<int,int>> query;
ll sg[4*MAXN], negative[4*MAXN], positive[4*MAXN], lazy[4*MAXN], ans[MAXN];
vector<int> add[2*MAXN], rem[2*MAXN];
vector<pair<int,int>> qs[2*MAXN];
int n, q;
void push(int k, int a, int b) {
sg[k] = max(sg[k], negative[k] + lazy[k]);
if (a != b) {
lazy[2*k] = max(lazy[2*k], lazy[k]);
lazy[2*k+1] = max(lazy[2*k+1], lazy[k]);
}
lazy[k] = 0;
}
void update_pos(int k, int a, int b, int q_l, int q_r, ll val) {
push(k, a, b);
if (b < q_l || a > q_r)
return ;
if (q_l <= a && b <= q_r) {
lazy[k] = val;
push(k, a, b);
return ;
}
update_pos(2*k, a, (a+b)/2, q_l, q_r, val);
update_pos(2*k+1, (a+b)/2+1, b, q_l, q_r, val);
sg[k] = max(sg[k], max(sg[2*k], sg[2*k+1]));
}
void update(int k, int a, int b, int plc, ll val) {
push(k, a, b);
if (b < plc || a > plc)
return ;
if (a == b) {
negative[k] = val;
return ;
}
update(2*k, a, (a+b)/2, plc, val);
update(2*k+1, (a+b)/2+1, b, plc, val);
negative[k] = max(negative[2*k], negative[2*k+1]);
}
ll qry(int k, int a, int b, int q_l, int q_r) {
push(k, a, b);
if (b < q_l || a > q_r)
return -1e12;
if (q_l <= a && b <= q_r)
return sg[k];
return max(qry(2*k, a, (a+b)/2, q_l, q_r),
qry(2*k+1, (a+b)/2+1, b, q_l, q_r));
}
void solve() {
for (int i = 0; i < 4*MAXN; i++)
sg[i] = -1e12, negative[i] = -1e12, lazy[i] = 0;
for (int i = 0; i < 2*MAXN; i++)
add[i].clear(), rem[i].clear(), qs[i].clear();
for (int i = 0; i < q; i++)
qs[query[i].s].push_back({query[i].f, i});
for (int i = 1; i <= n; i++)
add[i+antenna[i].A].push_back(i), rem[i+antenna[i].B+1].push_back(i);
for (int i = 1; i <= n; i++) {
for (auto u : rem[i])
update(1, 1, n, u, -1e12);
for (auto u : add[i])
update(1, 1, n, u, -antenna[u].H);
if (i - antenna[i].A >= 1)
update_pos(1, 1, n, max(1LL, i - antenna[i].B), max(1LL, i - antenna[i].A), antenna[i].H);
for (auto u : qs[i])
ans[u.s] = max(ans[u.s], qry(1, 1, n, u.f, i));
}
}
int main() {
fast
cin >> n;
antenna = vector<Ant>(n+1);
for (int i = 1; i <= n; i++)
antenna[i].read();
int l, r;
cin >> q;
for (int i = 0; i < q; i++) {
cin >> l >> r;
query.push_back({l, r});
}
for (int i = 0; i < q; i++)
ans[i] = -1;
solve();
for (int i = 1; i < n+1-i; i++)
swap(antenna[i], antenna[n+1-i]);
for (int i = 0; i < q; i++) {
int new_s = n + 1 - query[i].f;
int new_f = n + 1 - query[i].s;
query[i].f = new_f;
query[i].s = new_s;
}
solve();
for (int i = 0; i < q; i++)
cout << ans[i] << "\n";
}
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