#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;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
19796 KB |
Output is correct |
2 |
Correct |
19 ms |
19924 KB |
Output is correct |
3 |
Correct |
12 ms |
19916 KB |
Output is correct |
4 |
Correct |
17 ms |
19836 KB |
Output is correct |
5 |
Correct |
11 ms |
19904 KB |
Output is correct |
6 |
Correct |
11 ms |
19796 KB |
Output is correct |
7 |
Correct |
16 ms |
19848 KB |
Output is correct |
8 |
Correct |
11 ms |
19888 KB |
Output is correct |
9 |
Correct |
11 ms |
19796 KB |
Output is correct |
10 |
Correct |
14 ms |
19912 KB |
Output is correct |
11 |
Correct |
13 ms |
19888 KB |
Output is correct |
12 |
Correct |
13 ms |
19924 KB |
Output is correct |
13 |
Correct |
12 ms |
19904 KB |
Output is correct |
14 |
Correct |
15 ms |
19836 KB |
Output is correct |
15 |
Correct |
12 ms |
19796 KB |
Output is correct |
16 |
Correct |
12 ms |
19796 KB |
Output is correct |
17 |
Correct |
11 ms |
19848 KB |
Output is correct |
18 |
Correct |
12 ms |
19864 KB |
Output is correct |
19 |
Correct |
11 ms |
19896 KB |
Output is correct |
20 |
Correct |
14 ms |
19908 KB |
Output is correct |
21 |
Correct |
11 ms |
19796 KB |
Output is correct |
22 |
Correct |
12 ms |
19844 KB |
Output is correct |
23 |
Correct |
12 ms |
19796 KB |
Output is correct |
24 |
Correct |
11 ms |
19852 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
19796 KB |
Output is correct |
2 |
Correct |
19 ms |
19924 KB |
Output is correct |
3 |
Correct |
12 ms |
19916 KB |
Output is correct |
4 |
Correct |
17 ms |
19836 KB |
Output is correct |
5 |
Correct |
11 ms |
19904 KB |
Output is correct |
6 |
Correct |
11 ms |
19796 KB |
Output is correct |
7 |
Correct |
16 ms |
19848 KB |
Output is correct |
8 |
Correct |
11 ms |
19888 KB |
Output is correct |
9 |
Correct |
11 ms |
19796 KB |
Output is correct |
10 |
Correct |
14 ms |
19912 KB |
Output is correct |
11 |
Correct |
13 ms |
19888 KB |
Output is correct |
12 |
Correct |
13 ms |
19924 KB |
Output is correct |
13 |
Correct |
12 ms |
19904 KB |
Output is correct |
14 |
Correct |
15 ms |
19836 KB |
Output is correct |
15 |
Correct |
12 ms |
19796 KB |
Output is correct |
16 |
Correct |
12 ms |
19796 KB |
Output is correct |
17 |
Correct |
11 ms |
19848 KB |
Output is correct |
18 |
Correct |
12 ms |
19864 KB |
Output is correct |
19 |
Correct |
11 ms |
19896 KB |
Output is correct |
20 |
Correct |
14 ms |
19908 KB |
Output is correct |
21 |
Correct |
11 ms |
19796 KB |
Output is correct |
22 |
Correct |
12 ms |
19844 KB |
Output is correct |
23 |
Correct |
12 ms |
19796 KB |
Output is correct |
24 |
Correct |
11 ms |
19852 KB |
Output is correct |
25 |
Correct |
166 ms |
23856 KB |
Output is correct |
26 |
Correct |
38 ms |
20500 KB |
Output is correct |
27 |
Correct |
255 ms |
25332 KB |
Output is correct |
28 |
Correct |
289 ms |
25360 KB |
Output is correct |
29 |
Correct |
155 ms |
23780 KB |
Output is correct |
30 |
Correct |
150 ms |
23456 KB |
Output is correct |
31 |
Correct |
189 ms |
24592 KB |
Output is correct |
32 |
Correct |
231 ms |
25348 KB |
Output is correct |
33 |
Correct |
211 ms |
25124 KB |
Output is correct |
34 |
Correct |
121 ms |
22536 KB |
Output is correct |
35 |
Correct |
212 ms |
25304 KB |
Output is correct |
36 |
Correct |
235 ms |
25336 KB |
Output is correct |
37 |
Correct |
129 ms |
22516 KB |
Output is correct |
38 |
Correct |
238 ms |
24420 KB |
Output is correct |
39 |
Correct |
45 ms |
20568 KB |
Output is correct |
40 |
Correct |
222 ms |
24392 KB |
Output is correct |
41 |
Correct |
176 ms |
23160 KB |
Output is correct |
42 |
Correct |
222 ms |
24384 KB |
Output is correct |
43 |
Correct |
85 ms |
21444 KB |
Output is correct |
44 |
Correct |
241 ms |
24460 KB |
Output is correct |
45 |
Correct |
58 ms |
20680 KB |
Output is correct |
46 |
Correct |
224 ms |
24360 KB |
Output is correct |
47 |
Correct |
73 ms |
21084 KB |
Output is correct |
48 |
Correct |
240 ms |
24452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1012 ms |
30976 KB |
Output is correct |
2 |
Correct |
982 ms |
33836 KB |
Output is correct |
3 |
Correct |
676 ms |
30344 KB |
Output is correct |
4 |
Correct |
951 ms |
33880 KB |
Output is correct |
5 |
Correct |
395 ms |
27404 KB |
Output is correct |
6 |
Correct |
919 ms |
33836 KB |
Output is correct |
7 |
Correct |
805 ms |
32316 KB |
Output is correct |
8 |
Correct |
912 ms |
34156 KB |
Output is correct |
9 |
Correct |
142 ms |
22528 KB |
Output is correct |
10 |
Correct |
1039 ms |
34092 KB |
Output is correct |
11 |
Correct |
557 ms |
29704 KB |
Output is correct |
12 |
Correct |
873 ms |
34140 KB |
Output is correct |
13 |
Correct |
902 ms |
34148 KB |
Output is correct |
14 |
Correct |
793 ms |
34168 KB |
Output is correct |
15 |
Correct |
785 ms |
34260 KB |
Output is correct |
16 |
Correct |
706 ms |
34244 KB |
Output is correct |
17 |
Correct |
838 ms |
34268 KB |
Output is correct |
18 |
Correct |
754 ms |
34284 KB |
Output is correct |
19 |
Correct |
819 ms |
34300 KB |
Output is correct |
20 |
Correct |
726 ms |
34232 KB |
Output is correct |
21 |
Correct |
759 ms |
34280 KB |
Output is correct |
22 |
Correct |
776 ms |
34220 KB |
Output is correct |
23 |
Correct |
775 ms |
34248 KB |
Output is correct |
24 |
Correct |
706 ms |
34352 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
19796 KB |
Output is correct |
2 |
Correct |
19 ms |
19924 KB |
Output is correct |
3 |
Correct |
12 ms |
19916 KB |
Output is correct |
4 |
Correct |
17 ms |
19836 KB |
Output is correct |
5 |
Correct |
11 ms |
19904 KB |
Output is correct |
6 |
Correct |
11 ms |
19796 KB |
Output is correct |
7 |
Correct |
16 ms |
19848 KB |
Output is correct |
8 |
Correct |
11 ms |
19888 KB |
Output is correct |
9 |
Correct |
11 ms |
19796 KB |
Output is correct |
10 |
Correct |
14 ms |
19912 KB |
Output is correct |
11 |
Correct |
13 ms |
19888 KB |
Output is correct |
12 |
Correct |
13 ms |
19924 KB |
Output is correct |
13 |
Correct |
12 ms |
19904 KB |
Output is correct |
14 |
Correct |
15 ms |
19836 KB |
Output is correct |
15 |
Correct |
12 ms |
19796 KB |
Output is correct |
16 |
Correct |
12 ms |
19796 KB |
Output is correct |
17 |
Correct |
11 ms |
19848 KB |
Output is correct |
18 |
Correct |
12 ms |
19864 KB |
Output is correct |
19 |
Correct |
11 ms |
19896 KB |
Output is correct |
20 |
Correct |
14 ms |
19908 KB |
Output is correct |
21 |
Correct |
11 ms |
19796 KB |
Output is correct |
22 |
Correct |
12 ms |
19844 KB |
Output is correct |
23 |
Correct |
12 ms |
19796 KB |
Output is correct |
24 |
Correct |
11 ms |
19852 KB |
Output is correct |
25 |
Correct |
166 ms |
23856 KB |
Output is correct |
26 |
Correct |
38 ms |
20500 KB |
Output is correct |
27 |
Correct |
255 ms |
25332 KB |
Output is correct |
28 |
Correct |
289 ms |
25360 KB |
Output is correct |
29 |
Correct |
155 ms |
23780 KB |
Output is correct |
30 |
Correct |
150 ms |
23456 KB |
Output is correct |
31 |
Correct |
189 ms |
24592 KB |
Output is correct |
32 |
Correct |
231 ms |
25348 KB |
Output is correct |
33 |
Correct |
211 ms |
25124 KB |
Output is correct |
34 |
Correct |
121 ms |
22536 KB |
Output is correct |
35 |
Correct |
212 ms |
25304 KB |
Output is correct |
36 |
Correct |
235 ms |
25336 KB |
Output is correct |
37 |
Correct |
129 ms |
22516 KB |
Output is correct |
38 |
Correct |
238 ms |
24420 KB |
Output is correct |
39 |
Correct |
45 ms |
20568 KB |
Output is correct |
40 |
Correct |
222 ms |
24392 KB |
Output is correct |
41 |
Correct |
176 ms |
23160 KB |
Output is correct |
42 |
Correct |
222 ms |
24384 KB |
Output is correct |
43 |
Correct |
85 ms |
21444 KB |
Output is correct |
44 |
Correct |
241 ms |
24460 KB |
Output is correct |
45 |
Correct |
58 ms |
20680 KB |
Output is correct |
46 |
Correct |
224 ms |
24360 KB |
Output is correct |
47 |
Correct |
73 ms |
21084 KB |
Output is correct |
48 |
Correct |
240 ms |
24452 KB |
Output is correct |
49 |
Correct |
1012 ms |
30976 KB |
Output is correct |
50 |
Correct |
982 ms |
33836 KB |
Output is correct |
51 |
Correct |
676 ms |
30344 KB |
Output is correct |
52 |
Correct |
951 ms |
33880 KB |
Output is correct |
53 |
Correct |
395 ms |
27404 KB |
Output is correct |
54 |
Correct |
919 ms |
33836 KB |
Output is correct |
55 |
Correct |
805 ms |
32316 KB |
Output is correct |
56 |
Correct |
912 ms |
34156 KB |
Output is correct |
57 |
Correct |
142 ms |
22528 KB |
Output is correct |
58 |
Correct |
1039 ms |
34092 KB |
Output is correct |
59 |
Correct |
557 ms |
29704 KB |
Output is correct |
60 |
Correct |
873 ms |
34140 KB |
Output is correct |
61 |
Correct |
902 ms |
34148 KB |
Output is correct |
62 |
Correct |
793 ms |
34168 KB |
Output is correct |
63 |
Correct |
785 ms |
34260 KB |
Output is correct |
64 |
Correct |
706 ms |
34244 KB |
Output is correct |
65 |
Correct |
838 ms |
34268 KB |
Output is correct |
66 |
Correct |
754 ms |
34284 KB |
Output is correct |
67 |
Correct |
819 ms |
34300 KB |
Output is correct |
68 |
Correct |
726 ms |
34232 KB |
Output is correct |
69 |
Correct |
759 ms |
34280 KB |
Output is correct |
70 |
Correct |
776 ms |
34220 KB |
Output is correct |
71 |
Correct |
775 ms |
34248 KB |
Output is correct |
72 |
Correct |
706 ms |
34352 KB |
Output is correct |
73 |
Correct |
1042 ms |
41336 KB |
Output is correct |
74 |
Correct |
880 ms |
37040 KB |
Output is correct |
75 |
Correct |
943 ms |
39928 KB |
Output is correct |
76 |
Correct |
1297 ms |
45216 KB |
Output is correct |
77 |
Correct |
579 ms |
33444 KB |
Output is correct |
78 |
Correct |
1104 ms |
42452 KB |
Output is correct |
79 |
Correct |
1088 ms |
42860 KB |
Output is correct |
80 |
Correct |
1217 ms |
45216 KB |
Output is correct |
81 |
Correct |
371 ms |
29856 KB |
Output is correct |
82 |
Correct |
1033 ms |
40876 KB |
Output is correct |
83 |
Correct |
822 ms |
38512 KB |
Output is correct |
84 |
Correct |
1213 ms |
45216 KB |
Output is correct |
85 |
Correct |
1084 ms |
40844 KB |
Output is correct |
86 |
Correct |
1120 ms |
43964 KB |
Output is correct |
87 |
Correct |
815 ms |
37284 KB |
Output is correct |
88 |
Correct |
1064 ms |
43952 KB |
Output is correct |
89 |
Correct |
1111 ms |
41976 KB |
Output is correct |
90 |
Correct |
1252 ms |
43960 KB |
Output is correct |
91 |
Correct |
1002 ms |
39020 KB |
Output is correct |
92 |
Correct |
1203 ms |
43948 KB |
Output is correct |
93 |
Correct |
828 ms |
37552 KB |
Output is correct |
94 |
Correct |
1201 ms |
43952 KB |
Output is correct |
95 |
Correct |
916 ms |
38336 KB |
Output is correct |
96 |
Correct |
1138 ms |
43960 KB |
Output is correct |