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>
#define int long long
using namespace std;
namespace std {
template <typename T> ostream &operator<<(ostream &out, const vector<T> &vec) {
out << "[";
for (int i = 0; i < (int)vec.size(); ++i) {
out << vec[i];
if (i + 1 < (int)vec.size())
out << ", ";
}
return out << "]";
}
} // namespace std
void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
cout << ' ' << H;
dbg_out(T...);
}
#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
const int MAXN = 1e6;
const int INF = 1e18;
int iDeb[MAXN], iFin[MAXN];
int rangeMin[MAXN], rangeMax[MAXN];
int lazyMax[MAXN], lazyMin[MAXN];
int rangeSol[MAXN];
void pull(int node) {
rangeMin[node] = min(rangeMin[2 * node], rangeMin[2 * node + 1]);
rangeMax[node] = max(rangeMax[2 * node], rangeMax[2 * node + 1]);
rangeSol[node] = max(rangeSol[2 * node], rangeSol[2 * node + 1]);
}
void push(int node) {
if (lazyMax[node] > -INF) {
int h = lazyMax[node];
lazyMax[node] = -INF;
if (iDeb[node] != iFin[node]) {
lazyMax[2 * node] = max(lazyMax[2 * node], h);
lazyMax[2 * node + 1] = max(lazyMax[2 * node + 1], h);
}
rangeSol[node] = max(rangeSol[node], h - rangeMin[node]);
}
if (lazyMin[node] < INF) {
int h = lazyMin[node];
lazyMin[node] = INF;
if (iDeb[node] < iFin[node]) {
lazyMin[2 * node] = min(lazyMin[2 * node], h);
lazyMin[2 * node + 1] = min(lazyMin[2 * node + 1], h);
}
rangeSol[node] = max(rangeSol[node], rangeMax[node] - h);
}
}
void build(int node, int l, int r) {
iDeb[node] = l, iFin[node] = r;
rangeMin[node] = lazyMin[node] = INF, rangeMax[node] = lazyMax[node] = -INF;
rangeSol[node] = -INF;
if (l == r)
return;
build(2 * node, l, (l + r) / 2);
build(2 * node + 1, (l + r) / 2 + 1, r);
}
void update(int node, int pos, int x) {
push(node);
if (iDeb[node] > pos or iFin[node] < pos)
return;
if (iDeb[node] == iFin[node]) {
if (x == INF)
rangeMin[node] = x, rangeMax[node] = -x;
else
rangeMin[node] = rangeMax[node] = x;
return;
}
update(2 * node, pos, x);
update(2 * node + 1, pos, x);
pull(node);
}
void insert(int node, int l, int r, int x) {
push(node);
if (iDeb[node] > r or iFin[node] < l)
return;
if (iDeb[node] >= l and iFin[node] <= r) {
lazyMax[node] = lazyMin[node] = x;
push(node);
return;
}
insert(2 * node, l, r, x);
insert(2 * node + 1, l, r, x);
pull(node);
}
int query(int node, int l, int r) {
push(node);
if (iDeb[node] > r or iFin[node] < l)
return -INF;
if (iDeb[node] >= l and iFin[node] <= r)
return rangeSol[node];
return max(query(2 * node, l, r), query(2 * node + 1, l, r));
}
signed main(void) {
ios_base::sync_with_stdio(false);
cin.tie(0);
int N;
cin >> N;
vector<int> H(N), A(N), B(N);
for (int i = 0; i < N; ++i)
cin >> H[i] >> A[i] >> B[i];
vector<vector<int>> toInsert(N), toDel(N);
for (int i = 0; i < N; ++i) {
if (i - A[i] >= 0)
toInsert[i - A[i]].push_back(i);
if (i - B[i] > 0)
toDel[i - B[i] - 1].push_back(i);
}
build(1, 0, N - 1);
int Q;
cin >> Q;
vector<int> sol(Q);
vector<vector<pair<int, int>>> queries(N);
for (int i = 0; i < Q; ++i) {
int l, r;
cin >> l >> r;
--l, --r;
queries[l].emplace_back(r, i);
}
for (int i = N - 1; i >= 0; --i) {
dbg(i);
for (int j : toInsert[i]) {
dbg("insert", j);
update(1, j, H[j]);
}
for (int j : toDel[i]) {
dbg("del", j);
update(1, j, INF);
}
int lo = i + A[i], up = i + B[i];
if (lo < N) {
up = min(up, N - 1);
insert(1, lo, up, H[i]);
}
for (auto [r, j] : queries[i])
sol[j] = query(1, i, r);
dbg(rangeSol[1], rangeMax[1], rangeMin[1]);
}
for (int x : sol) {
x = max(-1LL, x);
cout << x << '\n';
}
}
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