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 pii pair<int,int>
#define tiii tuple<int,int,int>
#define vi vector<int>
#define vb vector<bool>
#define vpii vector<pii>
#define vtiii vector<tiii>
#define sz(x) (int) (x).size()
#define all(x) (x).begin(), (x).end()
struct SegTree {
vi arr;
int size;
void init(vi & H) {
size = 1;
while (size < sz(H)) size *= 2;
arr.assign(2 * size, -1);
}
void update(int i, int v, int x, int lx, int rx ) {
if (rx - lx == 1) { arr[x] = max(arr[x], v); return; }
int m = (lx + rx) / 2;
if (i < m) update(i, v, 2 * x, lx, m);
else update(i, v, 2 * x + 1, m, rx);
arr[x] = max(arr[2 * x], arr[2 * x + 1]);
}
void update(int i, int v) {
update(i, v, 1, 0, size);
}
int query(int l, int r, int x, int lx, int rx ) {
if (rx <= l || r <= lx) return -1;
if (l <= lx && rx <= r) return arr[x];
int m = (lx + rx) / 2;
int a = query(l, r, 2 * x, lx, m);
int b = query(l, r, 2 * x + 1, m, rx);
return max(a,b);
}
int query(int l, int r) {
return query(l, r, 1, 0, size);
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n;
cin >> n;
vi H(n), A(n), B(n);
for (int i = 0; i < n; ++i) { cin >> H[i] >> A[i] >> B[i]; }
int q;
cin >> q;
vtiii Q(q);
for (int i = 0,l,r; i < q; ++i) {
cin >> l >> r; --l; --r;
Q[i] = { l, r, i };
}
vi ans(q, -1);
priority_queue<pii, vpii, greater<pii>> activate;
priority_queue<pii, vpii, greater<pii>> deactivate;
SegTree seg;
seg.init(H);
sort(all(Q), [&](tiii & a, tiii & b){
return get<1>(a) > get<1>(b);
}); // Niedrige Endpunkte nach hinten, dann kann man den Vektor als queue verwenden
vb active(n, false);
for (int i = 0; i < n; ++i) {
activate.push({i + A[i], i});
deactivate.push({i + B[i], i});
while (!activate.empty() && activate.top().first == i) {
active[activate.top().second] = true;
activate.pop();
}
for (int l = max(0, i - B[i]); l <= i - A[i] && l < n; ++l) {
if (active[l]) {
if (abs(H[l] - H[i]) == 913359940) {
cout << "Stop! " << l << " & " << i << endl;
}
seg.update(l, abs(H[l] - H[i]));
}
}
while (!Q.empty() && get<1>(Q.back()) == i) {
int l, r, idx;
tie(l,r,idx) = Q.back(); Q.pop_back();
ans[idx] = seg.query(l,r);
}
while(!deactivate.empty() && deactivate.top().first == i) {
active[deactivate.top().second] = false;
deactivate.pop();
}
}
for (int x : ans) cout << x << "\n";
}
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