#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
// freopen("inp.inp", "r", stdin);
// freopen("out.out", "w", stdout);
int n;
cin >> n;
map<int, vector<array<int, 2>>> mp;
for (int i = 0; i < n; i++) {
int x, y, z;
cin >> x >> y >> z;
mp[z].push_back({x, y});
}
set<array<int, 2>> xy;
set<array<int, 2>> yx;
set<array<int, 2>> xy_defer;
set<array<int, 2>> yx_defer;
static const int INF = 1e9;
auto add = [&](int x, int y) -> void {
while (!xy_defer.empty()) {
auto it = xy_defer.lower_bound(array<int, 2>{x, -INF});
if (it == xy_defer.begin()) break;
it--;
auto [xx, yy] = *it;
if (yy <= y) break;
xy_defer.erase(it);
yx_defer.erase({yy, xx});
xy.insert({xx, yy});
yx.insert({yy, xx});
}
while (!yx_defer.empty()) {
auto it = yx_defer.lower_bound(array<int, 2>{y, -INF});
if (it == yx_defer.begin()) break;
it--;
auto [yy, xx] = *it;
if (xx <= x) break;
yx_defer.erase(it);
xy_defer.erase({xx, yy});
xy.insert({xx, yy});
yx.insert({yy, xx});
}
bool should_insert;
if (xy.empty()) {
should_insert = false;
} else {
int xx = (*xy.rbegin())[0];
int yy = (*yx.rbegin())[0];
if (xx > x || yy > y) {
should_insert = true;
} else {
should_insert = false;
}
}
if (should_insert) {
xy.insert({x, y});
yx.insert({y, x});
} else {
xy_defer.insert({x, y});
yx_defer.insert({y, x});
}
};
auto query = [&](int x, int y) -> int {
if (xy.empty()) return -INF;
int xx = (*xy.rbegin())[0];
int yy = (*yx.rbegin())[0];
if (xx <= x || yy <= y) return -INF;
return xx + yy;
};
int res = -1;
for (auto [z, xy] : mp) {
for (auto [x, y] : xy) {
res = max(res, z + query(x, y));
}
for (auto [x, y] : xy) {
add(x, y);
}
}
cout << res << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
360 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
600 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
360 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
600 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
4 ms |
1112 KB |
Output is correct |
27 |
Correct |
4 ms |
1112 KB |
Output is correct |
28 |
Correct |
5 ms |
1628 KB |
Output is correct |
29 |
Correct |
4 ms |
1112 KB |
Output is correct |
30 |
Correct |
2 ms |
860 KB |
Output is correct |
31 |
Correct |
3 ms |
860 KB |
Output is correct |
32 |
Correct |
3 ms |
724 KB |
Output is correct |
33 |
Correct |
2 ms |
780 KB |
Output is correct |
34 |
Correct |
4 ms |
1372 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
3 ms |
860 KB |
Output is correct |
38 |
Correct |
2 ms |
796 KB |
Output is correct |
39 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
30 ms |
1892 KB |
Output is correct |
12 |
Correct |
20 ms |
1744 KB |
Output is correct |
13 |
Correct |
25 ms |
2288 KB |
Output is correct |
14 |
Correct |
31 ms |
2512 KB |
Output is correct |
15 |
Correct |
30 ms |
2604 KB |
Output is correct |
16 |
Correct |
25 ms |
2980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
30 ms |
1892 KB |
Output is correct |
12 |
Correct |
20 ms |
1744 KB |
Output is correct |
13 |
Correct |
25 ms |
2288 KB |
Output is correct |
14 |
Correct |
31 ms |
2512 KB |
Output is correct |
15 |
Correct |
30 ms |
2604 KB |
Output is correct |
16 |
Correct |
25 ms |
2980 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
44 ms |
1864 KB |
Output is correct |
23 |
Correct |
34 ms |
1876 KB |
Output is correct |
24 |
Correct |
29 ms |
1800 KB |
Output is correct |
25 |
Correct |
42 ms |
3136 KB |
Output is correct |
26 |
Correct |
27 ms |
3392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
30 ms |
1892 KB |
Output is correct |
12 |
Correct |
20 ms |
1744 KB |
Output is correct |
13 |
Correct |
25 ms |
2288 KB |
Output is correct |
14 |
Correct |
31 ms |
2512 KB |
Output is correct |
15 |
Correct |
30 ms |
2604 KB |
Output is correct |
16 |
Correct |
25 ms |
2980 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
44 ms |
1864 KB |
Output is correct |
23 |
Correct |
34 ms |
1876 KB |
Output is correct |
24 |
Correct |
29 ms |
1800 KB |
Output is correct |
25 |
Correct |
42 ms |
3136 KB |
Output is correct |
26 |
Correct |
27 ms |
3392 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
117 ms |
9552 KB |
Output is correct |
35 |
Correct |
86 ms |
8272 KB |
Output is correct |
36 |
Correct |
106 ms |
7504 KB |
Output is correct |
37 |
Correct |
77 ms |
6992 KB |
Output is correct |
38 |
Correct |
36 ms |
3612 KB |
Output is correct |
39 |
Correct |
32 ms |
2648 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
30 ms |
1892 KB |
Output is correct |
12 |
Correct |
20 ms |
1744 KB |
Output is correct |
13 |
Correct |
25 ms |
2288 KB |
Output is correct |
14 |
Correct |
31 ms |
2512 KB |
Output is correct |
15 |
Correct |
30 ms |
2604 KB |
Output is correct |
16 |
Correct |
25 ms |
2980 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
44 ms |
1864 KB |
Output is correct |
23 |
Correct |
34 ms |
1876 KB |
Output is correct |
24 |
Correct |
29 ms |
1800 KB |
Output is correct |
25 |
Correct |
42 ms |
3136 KB |
Output is correct |
26 |
Correct |
27 ms |
3392 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
3 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
117 ms |
9552 KB |
Output is correct |
35 |
Correct |
86 ms |
8272 KB |
Output is correct |
36 |
Correct |
106 ms |
7504 KB |
Output is correct |
37 |
Correct |
77 ms |
6992 KB |
Output is correct |
38 |
Correct |
36 ms |
3612 KB |
Output is correct |
39 |
Correct |
32 ms |
2648 KB |
Output is correct |
40 |
Correct |
2 ms |
860 KB |
Output is correct |
41 |
Correct |
4 ms |
860 KB |
Output is correct |
42 |
Correct |
2 ms |
824 KB |
Output is correct |
43 |
Correct |
3 ms |
860 KB |
Output is correct |
44 |
Correct |
174 ms |
18004 KB |
Output is correct |
45 |
Correct |
129 ms |
13680 KB |
Output is correct |
46 |
Correct |
139 ms |
15188 KB |
Output is correct |
47 |
Correct |
124 ms |
13392 KB |
Output is correct |
48 |
Correct |
49 ms |
4404 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
360 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
600 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
4 ms |
1112 KB |
Output is correct |
27 |
Correct |
4 ms |
1112 KB |
Output is correct |
28 |
Correct |
5 ms |
1628 KB |
Output is correct |
29 |
Correct |
4 ms |
1112 KB |
Output is correct |
30 |
Correct |
2 ms |
860 KB |
Output is correct |
31 |
Correct |
3 ms |
860 KB |
Output is correct |
32 |
Correct |
3 ms |
724 KB |
Output is correct |
33 |
Correct |
2 ms |
780 KB |
Output is correct |
34 |
Correct |
4 ms |
1372 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
3 ms |
860 KB |
Output is correct |
38 |
Correct |
2 ms |
796 KB |
Output is correct |
39 |
Correct |
2 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
30 ms |
1892 KB |
Output is correct |
51 |
Correct |
20 ms |
1744 KB |
Output is correct |
52 |
Correct |
25 ms |
2288 KB |
Output is correct |
53 |
Correct |
31 ms |
2512 KB |
Output is correct |
54 |
Correct |
30 ms |
2604 KB |
Output is correct |
55 |
Correct |
25 ms |
2980 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
44 ms |
1864 KB |
Output is correct |
62 |
Correct |
34 ms |
1876 KB |
Output is correct |
63 |
Correct |
29 ms |
1800 KB |
Output is correct |
64 |
Correct |
42 ms |
3136 KB |
Output is correct |
65 |
Correct |
27 ms |
3392 KB |
Output is correct |
66 |
Correct |
1 ms |
344 KB |
Output is correct |
67 |
Correct |
0 ms |
348 KB |
Output is correct |
68 |
Correct |
1 ms |
348 KB |
Output is correct |
69 |
Correct |
1 ms |
348 KB |
Output is correct |
70 |
Correct |
3 ms |
604 KB |
Output is correct |
71 |
Correct |
1 ms |
348 KB |
Output is correct |
72 |
Correct |
1 ms |
348 KB |
Output is correct |
73 |
Correct |
117 ms |
9552 KB |
Output is correct |
74 |
Correct |
86 ms |
8272 KB |
Output is correct |
75 |
Correct |
106 ms |
7504 KB |
Output is correct |
76 |
Correct |
77 ms |
6992 KB |
Output is correct |
77 |
Correct |
36 ms |
3612 KB |
Output is correct |
78 |
Correct |
32 ms |
2648 KB |
Output is correct |
79 |
Correct |
2 ms |
860 KB |
Output is correct |
80 |
Correct |
4 ms |
860 KB |
Output is correct |
81 |
Correct |
2 ms |
824 KB |
Output is correct |
82 |
Correct |
3 ms |
860 KB |
Output is correct |
83 |
Correct |
174 ms |
18004 KB |
Output is correct |
84 |
Correct |
129 ms |
13680 KB |
Output is correct |
85 |
Correct |
139 ms |
15188 KB |
Output is correct |
86 |
Correct |
124 ms |
13392 KB |
Output is correct |
87 |
Correct |
49 ms |
4404 KB |
Output is correct |
88 |
Correct |
276 ms |
33100 KB |
Output is correct |
89 |
Correct |
194 ms |
25504 KB |
Output is correct |
90 |
Correct |
221 ms |
26960 KB |
Output is correct |
91 |
Correct |
211 ms |
23780 KB |
Output is correct |
92 |
Correct |
183 ms |
20052 KB |
Output is correct |
93 |
Correct |
213 ms |
25428 KB |
Output is correct |
94 |
Correct |
181 ms |
21200 KB |
Output is correct |
95 |
Correct |
85 ms |
15296 KB |
Output is correct |
96 |
Correct |
213 ms |
33104 KB |
Output is correct |
97 |
Correct |
36 ms |
5068 KB |
Output is correct |
98 |
Correct |
105 ms |
17488 KB |
Output is correct |
99 |
Correct |
114 ms |
17596 KB |
Output is correct |