#include <iostream>
#include <vector>
#include <algorithm>
#include <queue>
#include <cassert>
using namespace std;
int main() {
int n; cin >> n;
vector<int> x(n), y(n), z(n);
for (int i = 0; i < n; ++i) cin >> x[i] >> y[i] >> z[i];
vector<int> byX(n);
for (int i = 0; i < n; ++i) byX[i] = i;
sort(byX.begin(), byX.end(), [&x](int i, int j){return x[i]>x[j];});
priority_queue<pair<int, int>> byY, byZ;
for (int i = 0; i < n; ++i) {
byY.emplace(y[i], i);
byZ.emplace(z[i], i);
}
int bestTeam = -1;
for (int i : byX) {
while (!byY.empty() && !byZ.empty()) {
if (x[byY.top().second] >= x[i]) byY.pop();
else if (x[byZ.top().second] >= x[i]) byZ.pop();
else if (z[byY.top().second] >= byZ.top().first) byY.pop();
else if (y[byZ.top().second] >= byY.top().first) byZ.pop();
/* For the two lines above, >= is necessary rather than simply ==
This is because a beaver may have been deleted from byZ since it was both y-maximal and z-maximal
but not from byY, since we do not find and delete these double maximal beavers from the other pq.
This means the z value of a beaver in byY may be greater than the largest z value in byZ.
The same applies to the y values of beavers in byZ.
*/
else break;
}
if (!byY.empty() && !byZ.empty()) {
int j = byY.top().second, k = byZ.top().second;
assert(y[j] > y[k]); assert(z[k] > z[j]);
int Y = byY.top().first, Z = byZ.top().first;
if (Y > y[i] && Z > z[i]) bestTeam = max(bestTeam, x[i] + Y + Z);
}
}
cout << bestTeam << endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
1 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 |
212 KB |
Output is correct |
8 |
Correct |
1 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 |
1 ms |
300 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 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 |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
304 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
1 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 |
212 KB |
Output is correct |
8 |
Correct |
1 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 |
1 ms |
300 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 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 |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
304 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
6 ms |
440 KB |
Output is correct |
27 |
Correct |
7 ms |
468 KB |
Output is correct |
28 |
Correct |
6 ms |
452 KB |
Output is correct |
29 |
Correct |
6 ms |
440 KB |
Output is correct |
30 |
Correct |
3 ms |
440 KB |
Output is correct |
31 |
Correct |
4 ms |
468 KB |
Output is correct |
32 |
Correct |
4 ms |
396 KB |
Output is correct |
33 |
Correct |
5 ms |
468 KB |
Output is correct |
34 |
Correct |
6 ms |
452 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
308 KB |
Output is correct |
37 |
Correct |
4 ms |
468 KB |
Output is correct |
38 |
Correct |
4 ms |
468 KB |
Output is correct |
39 |
Correct |
2 ms |
340 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 |
1 ms |
300 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
0 ms |
304 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
87 ms |
6756 KB |
Output is correct |
12 |
Correct |
64 ms |
4160 KB |
Output is correct |
13 |
Correct |
68 ms |
5108 KB |
Output is correct |
14 |
Correct |
92 ms |
6756 KB |
Output is correct |
15 |
Correct |
84 ms |
6836 KB |
Output is correct |
16 |
Correct |
80 ms |
6748 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 |
1 ms |
300 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
0 ms |
304 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
87 ms |
6756 KB |
Output is correct |
12 |
Correct |
64 ms |
4160 KB |
Output is correct |
13 |
Correct |
68 ms |
5108 KB |
Output is correct |
14 |
Correct |
92 ms |
6756 KB |
Output is correct |
15 |
Correct |
84 ms |
6836 KB |
Output is correct |
16 |
Correct |
80 ms |
6748 KB |
Output is correct |
17 |
Correct |
0 ms |
300 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
300 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
101 ms |
7072 KB |
Output is correct |
23 |
Correct |
97 ms |
6868 KB |
Output is correct |
24 |
Correct |
80 ms |
4616 KB |
Output is correct |
25 |
Correct |
114 ms |
7024 KB |
Output is correct |
26 |
Correct |
106 ms |
6884 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 |
1 ms |
300 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
0 ms |
304 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
87 ms |
6756 KB |
Output is correct |
12 |
Correct |
64 ms |
4160 KB |
Output is correct |
13 |
Correct |
68 ms |
5108 KB |
Output is correct |
14 |
Correct |
92 ms |
6756 KB |
Output is correct |
15 |
Correct |
84 ms |
6836 KB |
Output is correct |
16 |
Correct |
80 ms |
6748 KB |
Output is correct |
17 |
Correct |
0 ms |
300 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
300 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
101 ms |
7072 KB |
Output is correct |
23 |
Correct |
97 ms |
6868 KB |
Output is correct |
24 |
Correct |
80 ms |
4616 KB |
Output is correct |
25 |
Correct |
114 ms |
7024 KB |
Output is correct |
26 |
Correct |
106 ms |
6884 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
300 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
4 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
308 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
116 ms |
7356 KB |
Output is correct |
35 |
Correct |
111 ms |
7092 KB |
Output is correct |
36 |
Correct |
122 ms |
7396 KB |
Output is correct |
37 |
Correct |
145 ms |
7600 KB |
Output is correct |
38 |
Correct |
106 ms |
7360 KB |
Output is correct |
39 |
Correct |
64 ms |
4368 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 |
1 ms |
300 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
1 ms |
296 KB |
Output is correct |
6 |
Correct |
0 ms |
304 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
87 ms |
6756 KB |
Output is correct |
12 |
Correct |
64 ms |
4160 KB |
Output is correct |
13 |
Correct |
68 ms |
5108 KB |
Output is correct |
14 |
Correct |
92 ms |
6756 KB |
Output is correct |
15 |
Correct |
84 ms |
6836 KB |
Output is correct |
16 |
Correct |
80 ms |
6748 KB |
Output is correct |
17 |
Correct |
0 ms |
300 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
300 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
101 ms |
7072 KB |
Output is correct |
23 |
Correct |
97 ms |
6868 KB |
Output is correct |
24 |
Correct |
80 ms |
4616 KB |
Output is correct |
25 |
Correct |
114 ms |
7024 KB |
Output is correct |
26 |
Correct |
106 ms |
6884 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
300 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
4 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
308 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
116 ms |
7356 KB |
Output is correct |
35 |
Correct |
111 ms |
7092 KB |
Output is correct |
36 |
Correct |
122 ms |
7396 KB |
Output is correct |
37 |
Correct |
145 ms |
7600 KB |
Output is correct |
38 |
Correct |
106 ms |
7360 KB |
Output is correct |
39 |
Correct |
64 ms |
4368 KB |
Output is correct |
40 |
Correct |
4 ms |
340 KB |
Output is correct |
41 |
Correct |
4 ms |
388 KB |
Output is correct |
42 |
Correct |
4 ms |
468 KB |
Output is correct |
43 |
Correct |
4 ms |
468 KB |
Output is correct |
44 |
Correct |
151 ms |
7916 KB |
Output is correct |
45 |
Correct |
157 ms |
8120 KB |
Output is correct |
46 |
Correct |
152 ms |
8000 KB |
Output is correct |
47 |
Correct |
158 ms |
8048 KB |
Output is correct |
48 |
Correct |
135 ms |
8008 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
1 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 |
212 KB |
Output is correct |
8 |
Correct |
1 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 |
1 ms |
300 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 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 |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
304 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
6 ms |
440 KB |
Output is correct |
27 |
Correct |
7 ms |
468 KB |
Output is correct |
28 |
Correct |
6 ms |
452 KB |
Output is correct |
29 |
Correct |
6 ms |
440 KB |
Output is correct |
30 |
Correct |
3 ms |
440 KB |
Output is correct |
31 |
Correct |
4 ms |
468 KB |
Output is correct |
32 |
Correct |
4 ms |
396 KB |
Output is correct |
33 |
Correct |
5 ms |
468 KB |
Output is correct |
34 |
Correct |
6 ms |
452 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
308 KB |
Output is correct |
37 |
Correct |
4 ms |
468 KB |
Output is correct |
38 |
Correct |
4 ms |
468 KB |
Output is correct |
39 |
Correct |
2 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
300 KB |
Output is correct |
43 |
Correct |
0 ms |
300 KB |
Output is correct |
44 |
Correct |
1 ms |
296 KB |
Output is correct |
45 |
Correct |
0 ms |
304 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
340 KB |
Output is correct |
50 |
Correct |
87 ms |
6756 KB |
Output is correct |
51 |
Correct |
64 ms |
4160 KB |
Output is correct |
52 |
Correct |
68 ms |
5108 KB |
Output is correct |
53 |
Correct |
92 ms |
6756 KB |
Output is correct |
54 |
Correct |
84 ms |
6836 KB |
Output is correct |
55 |
Correct |
80 ms |
6748 KB |
Output is correct |
56 |
Correct |
0 ms |
300 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
300 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
2 ms |
340 KB |
Output is correct |
61 |
Correct |
101 ms |
7072 KB |
Output is correct |
62 |
Correct |
97 ms |
6868 KB |
Output is correct |
63 |
Correct |
80 ms |
4616 KB |
Output is correct |
64 |
Correct |
114 ms |
7024 KB |
Output is correct |
65 |
Correct |
106 ms |
6884 KB |
Output is correct |
66 |
Correct |
1 ms |
212 KB |
Output is correct |
67 |
Correct |
1 ms |
300 KB |
Output is correct |
68 |
Correct |
1 ms |
212 KB |
Output is correct |
69 |
Correct |
1 ms |
212 KB |
Output is correct |
70 |
Correct |
4 ms |
468 KB |
Output is correct |
71 |
Correct |
1 ms |
308 KB |
Output is correct |
72 |
Correct |
1 ms |
340 KB |
Output is correct |
73 |
Correct |
116 ms |
7356 KB |
Output is correct |
74 |
Correct |
111 ms |
7092 KB |
Output is correct |
75 |
Correct |
122 ms |
7396 KB |
Output is correct |
76 |
Correct |
145 ms |
7600 KB |
Output is correct |
77 |
Correct |
106 ms |
7360 KB |
Output is correct |
78 |
Correct |
64 ms |
4368 KB |
Output is correct |
79 |
Correct |
4 ms |
340 KB |
Output is correct |
80 |
Correct |
4 ms |
388 KB |
Output is correct |
81 |
Correct |
4 ms |
468 KB |
Output is correct |
82 |
Correct |
4 ms |
468 KB |
Output is correct |
83 |
Correct |
151 ms |
7916 KB |
Output is correct |
84 |
Correct |
157 ms |
8120 KB |
Output is correct |
85 |
Correct |
152 ms |
8000 KB |
Output is correct |
86 |
Correct |
158 ms |
8048 KB |
Output is correct |
87 |
Correct |
135 ms |
8008 KB |
Output is correct |
88 |
Correct |
196 ms |
9832 KB |
Output is correct |
89 |
Correct |
223 ms |
9788 KB |
Output is correct |
90 |
Correct |
221 ms |
9840 KB |
Output is correct |
91 |
Correct |
220 ms |
9712 KB |
Output is correct |
92 |
Correct |
152 ms |
8284 KB |
Output is correct |
93 |
Correct |
178 ms |
8632 KB |
Output is correct |
94 |
Correct |
181 ms |
8612 KB |
Output is correct |
95 |
Correct |
181 ms |
9704 KB |
Output is correct |
96 |
Correct |
213 ms |
9856 KB |
Output is correct |
97 |
Correct |
215 ms |
9848 KB |
Output is correct |
98 |
Correct |
148 ms |
8416 KB |
Output is correct |
99 |
Correct |
154 ms |
8376 KB |
Output is correct |