이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using i64 = long long;
using namespace std;
constexpr int N = 2E5;
constexpr i64 inf = 1E18;
struct Info {
i64 max;
i64 allmax;
Info() : max(-2 * inf), allmax(-2 * inf) {}
};
Info operator+(const Info &a, const Info &b) {
Info c;
c.max = max(a.max, b.max);
c.allmax = max(a.allmax, b.allmax);
return c;
}
struct Tag {
i64 x;
i64 mx;
Tag(i64 x = 0) : x(x), mx(max(0LL, x)) {}
};
void apply(Tag &a, const Tag &b) {
a.mx = max(a.mx, a.x + b.mx);
a.x += b.x;
}
void apply(Info &a, const Tag &b) {
a.allmax = max({a.allmax, a.max + b.mx});
a.max += b.x;
}
template<class Info, class Tag,
class Merge = std::plus<Info>>
struct LazySegmentTree {
const int n;
const Merge merge;
std::vector<Info> info;
std::vector<Tag> tag;
LazySegmentTree(int n) : n(n), merge(Merge()), info(4 << std::__lg(n)), tag(4 << std::__lg(n)) {}
LazySegmentTree(std::vector<Info> init) : LazySegmentTree(init.size()) {
std::function<void(int, int, int)> build = [&](int p, int l, int r) {
if (r - l == 1) {
info[p] = init[l];
return;
}
int m = (l + r) / 2;
build(2 * p, l, m);
build(2 * p + 1, m, r);
pull(p);
};
build(1, 0, n);
}
void reconstruct() {
info.assign(4 << std::__lg(n), Info());
tag.assign(4 << std::__lg(n), Tag());
}
void pull(int p) {
info[p] = merge(info[2 * p], info[2 * p + 1]);
}
void apply(int p, const Tag &v) {
::apply(info[p], v);
::apply(tag[p], v);
}
void push(int p) {
apply(2 * p, tag[p]);
apply(2 * p + 1, tag[p]);
tag[p] = Tag();
}
void modify(int p, int l, int r, int x, Info v) {
if (r - l == 1) {
info[p] = v;
return;
}
int m = (l + r) / 2;
push(p);
if (x < m) {
modify(2 * p, l, m, x, v);
} else {
modify(2 * p + 1, m, r, x, v);
}
pull(p);
}
void modify(int x, Info v) {
modify(1, 0, n, x, v);
}
Info rangeQuery(int p, int l, int r, int x, int y) {
if (l >= y || r <= x) {
return Info();
}
if (l >= x && r <= y) {
return info[p];
}
int m = (l + r) / 2;
push(p);
return merge(rangeQuery(2 * p, l, m, x, y), rangeQuery(2 * p + 1, m, r, x, y));
}
Info rangeQuery(int l, int r) {
return rangeQuery(1, 0, n, l, r);
}
void rangeApply(int p, int l, int r, int x, int y, const Tag &v) {
if (l >= y || r <= x) {
return;
}
if (l >= x && r <= y) {
apply(p, v);
return;
}
int m = (l + r) / 2;
push(p);
rangeApply(2 * p, l, m, x, y, v);
rangeApply(2 * p + 1, m, r, x, y, v);
pull(p);
}
void rangeApply(int l, int r, const Tag &v) {
return rangeApply(1, 0, n, l, r, v);
}
};
LazySegmentTree<Info, Tag> s(N);
i64 A[N], historyMax[N];
void update(int p, i64 x) {
auto old = s.rangeQuery(p, p + 1);
s.rangeApply(p, p + 1, x - old.max);
}
void add(int l, int r, i64 x) {
s.rangeApply(l, r, x);
}
int query(int l, int r) {
return max(-1LL, s.rangeQuery(l, r).allmax);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
for (int i = 0; i < N; i++) {
A[i] = -2 * inf;
historyMax[i] = -1;
}
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<array<int, 3>> g;
for (int i = 0; i < n; i++) {
g.push_back({i + a[i], 1, i});
g.push_back({i + b[i] + 1, -1, i});
}
sort(g.begin(), g.end());
int q;
cin >> q;
vector<vector<array<int, 2>>> Q(n);
vector<int> ans(q);
for (int i = 0; i < q; i++) {
int l, r;
cin >> l >> r;
l--;
r--;
Q[r].push_back({l, i});
}
int k = 0;
for (int i = 0; i < n; i++) {
while (k < int(g.size()) && g[k][0] == i) {
int p = g[k][2];
if (g[k][1] == 1) {
update(p, -inf + h[p]);
} else {
update(p, -2 * inf);
}
k++;
}
int L = max(0, i - b[i]);
int R = max(0, i - a[i] + 1);
add(L, R, -h[i]);
add(L, R, inf);
for (auto [l, id] : Q[i]) {
ans[id] = query(l, i + 1);
}
add(L, R, -inf);
add(L, R, h[i]);
}
for (int i = 0; i < N; i++) {
A[i] = -2 * inf;
historyMax[i] = -1;
}
k = 0;
s.reconstruct();
for (int i = 0; i < n; i++) {
while (k < int(g.size()) && g[k][0] == i) {
int p = g[k][2];
if (g[k][1] == 1) {
update(p, -inf + -h[p]);
} else {
update(p, -2 * inf);
}
k++;
}
int L = max(0, i - b[i]);
int R = max(0, i - a[i] + 1);
add(L, R, h[i]);
add(L, R, inf);
for (auto [l, id] : Q[i]) {
ans[id] = max(ans[id], query(l, i + 1));
}
add(L, R, -inf);
add(L, R, -h[i]);
}
for (int i = 0; i < q; i++) {
cout << ans[i] << "\n";
}
return 0;
}
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