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;
#ifdef MIKU
string dbmc = "\033[1;38;2;57;197;187m", dbrs = "\033[0m";
#define debug(x...) cout << dbmc << "[" << #x << "]: ", dout(x)
void dout() { cout << dbrs << endl; }
template <typename T, typename ...U>
void dout(T t, U ...u) { cout << t << (sizeof...(u) ? ", " : ""); dout(u...); }
#else
#define debug(...) 39
#endif
#define fs first
#define sc second
#define mp make_pair
#define FOR(i, j, k) for (int i = j, Z = k; i < Z; i++)
using ll = long long;
typedef pair<int, int> pii;
const int MXN = 200005, INF = 1e9 + 39;
int n, q;
struct IN {
int h, a, b;
} in[MXN];
struct QRY {
int l, r, id;
} qry[MXN];
vector<pii> bck[MXN];
int ans[MXN];
struct LOSTONE {
#define mid ((l + r) >> 1)
#define ls id * 2 + 1
#define rs id * 2 + 2
int val[MXN * 4], c[MXN * 4], tag[MXN * 4];
void add_tag(int id, int l, int r, int _t) {
val[id] = max(val[id], c[id] - _t);
tag[id] = min(tag[id], _t);
}
void push(int id, int l, int r) {
if (tag[id] == INF) return;
add_tag(ls, l, mid, tag[id]);
add_tag(rs, mid, r, tag[id]);
tag[id] = INF;
}
void pull(int id, int l, int r) {
c[id] = max(c[ls], c[rs]);
val[id] = max(val[ls], val[rs]);
}
void init(int n) {
fill(val, val + n * 4, -1);
fill(tag, tag + n * 4, INF);
fill(c, c + n * 4, -INF);
}
void grade(int id, int l, int r, int p, int _c) {
if (l + 1 == r) {
c[id] = _c;
return;
}
push(id, l, r);
if (p < mid) grade(ls, l, mid, p, _c);
else grade(rs, mid, r, p, _c);
pull(id, l, r);
}
void test(int id, int l, int r, int _l, int _r, int _h) {
if (_l == _r) return;
if (_r <= l || r <= _l) return;
if (_l <= l && r <= _r) {
add_tag(id, l, r, _h);
return;
}
push(id, l, r);
test(ls, l, mid, _l, _r, _h);
test(rs, mid, r, _l, _r, _h);
pull(id, l, r);
}
int query(int id, int l, int r, int _l, int _r) {
if (_r <= l || r <= _l) return -1;
if (_l <= l && r <= _r) return val[id];
push(id, l, r);
return max(query(ls, l, mid, _l, _r), query(rs, mid, r, _l, _r));
}
#undef mid
#undef ls
#undef rs
} GOUKOKU;
void solve() {
GOUKOKU.init(n);
#define abb(t, p) if (t <= n) bck[t].push_back(p)
FOR(i, 0, n) {
abb(i + in[i].a, mp(3, i));
abb(i + in[i].b + 1, mp(3, -i - 1));
}
FOR(i, 0, q) {
abb(qry[i].r, mp(2, i));
}
#undef abb
FOR(r, 0, n + 1) {
for (auto [t, id] : bck[r]) {
if (t == 3) {
if (id >= 0) {
GOUKOKU.grade(0, 0, n, id, in[id].h);
} else {
id = -id - 1;
GOUKOKU.grade(0, 0, n, id, -INF);
}
} else {
auto [l, _, aid] = qry[id];
int x = GOUKOKU.query(0, 0, n, l, r);
ans[aid] = max(ans[aid], x);
}
}
#define abb(x) max(0, x)
if (r < n) {
GOUKOKU.test(0, 0, n, abb(r - in[r].b), abb(r - in[r].a + 1), in[r].h);
}
#undef abb
bck[r].clear();
}
}
void REVERSE() {
reverse(in, in + n);
FOR(i, 0, q) {
qry[i].l = n - qry[i].l;
qry[i].r = n - qry[i].r;
swap(qry[i].l, qry[i].r);
}
}
void miku() {
cin >> n;
FOR(i, 0, n) cin >> in[i].h >> in[i].a >> in[i].b;
cin >> q;
FOR(i, 0, q) {
cin >> qry[i].l >> qry[i].r;
qry[i].l--;
qry[i].id = i;
}
fill(ans, ans + q, -1);
solve();
REVERSE();
solve();
FOR(i, 0, q) cout << ans[i] << '\n';
}
int32_t main() {
cin.tie(0) -> sync_with_stdio(false);
cin.exceptions(cin.failbit);
miku();
return 0;
}
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