#include <bits/stdc++.h>
using namespace std;
#define maxim(X, Y) (X = max(X, Y))
#define all(X) begin(X), end(X)
const int INF = 2e9+5;
struct DS : map<int, int> {
void add(int i, int v) {
auto f = upper_bound(i);
if(f != begin() && prev(f)->second >= v) return;
(*this)[i] = v;
while(f != end() && f->second <= v)
f = erase(f);
}
int query(int i) {
auto f = upper_bound(i);
if(f == begin()) return -INF;
return prev(f)->second;
}
};
struct BIT {
int n;
vector<DS> a;
BIT(int N) : n(N), a(N+1) {}
void update(int i, int j, int v) {
for(++i; i <= n; i += i&-i) a[i].add(j, v);
}
int query(int i, int j) {
int v = -INF;
for(++i; i >= 1; i -= i&-i) maxim(v, a[i].query(j));
return v;
}
};
int main() {
ios::sync_with_stdio(0), cin.tie(0);
int N; cin >> N;
array<int, 3> a[N];
vector<int> C[2];
array<int, 2> sz, c[N];
for(auto &[x, y, z] : a) {
cin >> x >> y >> z;
C[0].push_back(x);
C[1].push_back(y);
}
DS f[2];
for(int i = 0; i < 2; ++i) {
sort(all(C[i]));
C[i].erase(unique(all(C[i])), end(C[i]));
sz[i] = size(C[i]);
}
sort(a, a + N, [&](const auto &i, const auto &j) {
return i[2] < j[2];
});
BIT b(sz[0]);
for(int i = 0; i < N; ++i)
for(int k = 0; k < 2; ++k)
c[i][k] = sz[k] - 1 - (lower_bound(all(C[k]), a[i][k]) - begin(C[k]));
int ans = -INF;
for(int l = 0, r; l < N; l = r) {
for(r = l + 1; r < N && a[l][2] == a[r][2]; ++r);
for(int i = l; i < r; ++i)
maxim(ans, a[i][2] + b.query(c[i][0] - 1, c[i][1] - 1));
for(int i = l; i < r; ++i) {
int j = f[0].query(sz[0] - 2 - c[i][0]);
if(j > sz[1] - 1 - c[i][1])
b.update(c[i][0], sz[1] - 1 - j, a[i][0] + C[1][j]);
j = f[1].query(sz[1] - 2 - c[i][1]);
if(j > sz[0] - 1 - c[i][0])
b.update(sz[0] - 1 - j, c[i][1], a[i][1] + C[0][j]);
for(int k = 0; k < 2; ++k)
f[k].add(sz[k] - 1 - c[i][k], sz[!k] - 1 - c[i][!k]);
}
}
cout << max(ans, int(-1));
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
324 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
320 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
324 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
320 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
4 ms |
852 KB |
Output is correct |
27 |
Correct |
4 ms |
724 KB |
Output is correct |
28 |
Correct |
4 ms |
724 KB |
Output is correct |
29 |
Correct |
5 ms |
596 KB |
Output is correct |
30 |
Correct |
3 ms |
468 KB |
Output is correct |
31 |
Correct |
3 ms |
468 KB |
Output is correct |
32 |
Correct |
3 ms |
468 KB |
Output is correct |
33 |
Correct |
2 ms |
588 KB |
Output is correct |
34 |
Correct |
4 ms |
1104 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
2 ms |
584 KB |
Output is correct |
38 |
Correct |
3 ms |
596 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
1 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
48 ms |
5832 KB |
Output is correct |
12 |
Correct |
29 ms |
3792 KB |
Output is correct |
13 |
Correct |
34 ms |
4544 KB |
Output is correct |
14 |
Correct |
48 ms |
5856 KB |
Output is correct |
15 |
Correct |
42 ms |
5708 KB |
Output is correct |
16 |
Correct |
42 ms |
5840 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
1 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
48 ms |
5832 KB |
Output is correct |
12 |
Correct |
29 ms |
3792 KB |
Output is correct |
13 |
Correct |
34 ms |
4544 KB |
Output is correct |
14 |
Correct |
48 ms |
5856 KB |
Output is correct |
15 |
Correct |
42 ms |
5708 KB |
Output is correct |
16 |
Correct |
42 ms |
5840 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
67 ms |
5952 KB |
Output is correct |
23 |
Correct |
56 ms |
5736 KB |
Output is correct |
24 |
Correct |
45 ms |
4180 KB |
Output is correct |
25 |
Correct |
59 ms |
6084 KB |
Output is correct |
26 |
Correct |
44 ms |
5952 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
1 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
48 ms |
5832 KB |
Output is correct |
12 |
Correct |
29 ms |
3792 KB |
Output is correct |
13 |
Correct |
34 ms |
4544 KB |
Output is correct |
14 |
Correct |
48 ms |
5856 KB |
Output is correct |
15 |
Correct |
42 ms |
5708 KB |
Output is correct |
16 |
Correct |
42 ms |
5840 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
67 ms |
5952 KB |
Output is correct |
23 |
Correct |
56 ms |
5736 KB |
Output is correct |
24 |
Correct |
45 ms |
4180 KB |
Output is correct |
25 |
Correct |
59 ms |
6084 KB |
Output is correct |
26 |
Correct |
44 ms |
5952 KB |
Output is correct |
27 |
Correct |
1 ms |
312 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
316 KB |
Output is correct |
31 |
Correct |
3 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
85 ms |
6276 KB |
Output is correct |
35 |
Correct |
77 ms |
6056 KB |
Output is correct |
36 |
Correct |
88 ms |
6424 KB |
Output is correct |
37 |
Correct |
82 ms |
6548 KB |
Output is correct |
38 |
Correct |
64 ms |
6324 KB |
Output is correct |
39 |
Correct |
30 ms |
3912 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
1 ms |
320 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
48 ms |
5832 KB |
Output is correct |
12 |
Correct |
29 ms |
3792 KB |
Output is correct |
13 |
Correct |
34 ms |
4544 KB |
Output is correct |
14 |
Correct |
48 ms |
5856 KB |
Output is correct |
15 |
Correct |
42 ms |
5708 KB |
Output is correct |
16 |
Correct |
42 ms |
5840 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
67 ms |
5952 KB |
Output is correct |
23 |
Correct |
56 ms |
5736 KB |
Output is correct |
24 |
Correct |
45 ms |
4180 KB |
Output is correct |
25 |
Correct |
59 ms |
6084 KB |
Output is correct |
26 |
Correct |
44 ms |
5952 KB |
Output is correct |
27 |
Correct |
1 ms |
312 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
316 KB |
Output is correct |
31 |
Correct |
3 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
85 ms |
6276 KB |
Output is correct |
35 |
Correct |
77 ms |
6056 KB |
Output is correct |
36 |
Correct |
88 ms |
6424 KB |
Output is correct |
37 |
Correct |
82 ms |
6548 KB |
Output is correct |
38 |
Correct |
64 ms |
6324 KB |
Output is correct |
39 |
Correct |
30 ms |
3912 KB |
Output is correct |
40 |
Correct |
3 ms |
468 KB |
Output is correct |
41 |
Correct |
4 ms |
456 KB |
Output is correct |
42 |
Correct |
3 ms |
596 KB |
Output is correct |
43 |
Correct |
3 ms |
584 KB |
Output is correct |
44 |
Correct |
112 ms |
6976 KB |
Output is correct |
45 |
Correct |
128 ms |
6960 KB |
Output is correct |
46 |
Correct |
117 ms |
6868 KB |
Output is correct |
47 |
Correct |
113 ms |
6956 KB |
Output is correct |
48 |
Correct |
65 ms |
6972 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
324 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
320 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
320 KB |
Output is correct |
26 |
Correct |
4 ms |
852 KB |
Output is correct |
27 |
Correct |
4 ms |
724 KB |
Output is correct |
28 |
Correct |
4 ms |
724 KB |
Output is correct |
29 |
Correct |
5 ms |
596 KB |
Output is correct |
30 |
Correct |
3 ms |
468 KB |
Output is correct |
31 |
Correct |
3 ms |
468 KB |
Output is correct |
32 |
Correct |
3 ms |
468 KB |
Output is correct |
33 |
Correct |
2 ms |
588 KB |
Output is correct |
34 |
Correct |
4 ms |
1104 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
2 ms |
584 KB |
Output is correct |
38 |
Correct |
3 ms |
596 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
320 KB |
Output is correct |
47 |
Correct |
1 ms |
320 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
48 ms |
5832 KB |
Output is correct |
51 |
Correct |
29 ms |
3792 KB |
Output is correct |
52 |
Correct |
34 ms |
4544 KB |
Output is correct |
53 |
Correct |
48 ms |
5856 KB |
Output is correct |
54 |
Correct |
42 ms |
5708 KB |
Output is correct |
55 |
Correct |
42 ms |
5840 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
67 ms |
5952 KB |
Output is correct |
62 |
Correct |
56 ms |
5736 KB |
Output is correct |
63 |
Correct |
45 ms |
4180 KB |
Output is correct |
64 |
Correct |
59 ms |
6084 KB |
Output is correct |
65 |
Correct |
44 ms |
5952 KB |
Output is correct |
66 |
Correct |
1 ms |
312 KB |
Output is correct |
67 |
Correct |
1 ms |
340 KB |
Output is correct |
68 |
Correct |
1 ms |
340 KB |
Output is correct |
69 |
Correct |
1 ms |
316 KB |
Output is correct |
70 |
Correct |
3 ms |
468 KB |
Output is correct |
71 |
Correct |
1 ms |
340 KB |
Output is correct |
72 |
Correct |
1 ms |
340 KB |
Output is correct |
73 |
Correct |
85 ms |
6276 KB |
Output is correct |
74 |
Correct |
77 ms |
6056 KB |
Output is correct |
75 |
Correct |
88 ms |
6424 KB |
Output is correct |
76 |
Correct |
82 ms |
6548 KB |
Output is correct |
77 |
Correct |
64 ms |
6324 KB |
Output is correct |
78 |
Correct |
30 ms |
3912 KB |
Output is correct |
79 |
Correct |
3 ms |
468 KB |
Output is correct |
80 |
Correct |
4 ms |
456 KB |
Output is correct |
81 |
Correct |
3 ms |
596 KB |
Output is correct |
82 |
Correct |
3 ms |
584 KB |
Output is correct |
83 |
Correct |
112 ms |
6976 KB |
Output is correct |
84 |
Correct |
128 ms |
6960 KB |
Output is correct |
85 |
Correct |
117 ms |
6868 KB |
Output is correct |
86 |
Correct |
113 ms |
6956 KB |
Output is correct |
87 |
Correct |
65 ms |
6972 KB |
Output is correct |
88 |
Correct |
233 ms |
20908 KB |
Output is correct |
89 |
Correct |
213 ms |
15352 KB |
Output is correct |
90 |
Correct |
208 ms |
17212 KB |
Output is correct |
91 |
Correct |
194 ms |
13888 KB |
Output is correct |
92 |
Correct |
152 ms |
9336 KB |
Output is correct |
93 |
Correct |
219 ms |
14756 KB |
Output is correct |
94 |
Correct |
181 ms |
11316 KB |
Output is correct |
95 |
Correct |
85 ms |
10204 KB |
Output is correct |
96 |
Correct |
217 ms |
29432 KB |
Output is correct |
97 |
Correct |
63 ms |
8372 KB |
Output is correct |
98 |
Correct |
94 ms |
11668 KB |
Output is correct |
99 |
Correct |
137 ms |
11548 KB |
Output is correct |