#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
namespace x = __gnu_pbds;
template <typename T, typename Comp = less<T>>
using ordered_set = x::tree<T, x::null_type, Comp, x::rb_tree_tag, x::tree_order_statistics_node_update>;
template <typename T>
using normal_queue = priority_queue<T, vector<T>, greater<>>;
#define all(x) begin(x), end(x)
#define sz(x) ((int) (x).size())
#define x first
#define y second
using ll = long long;
using ld = long double;
const int N = 1.6e5;
using P = array<int, 3>;
P a[N];
signed main() {
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < 3; ++j) {
cin >> a[i][j];
}
}
sort(a, a + n);
ordered_set<pair<int, int>, greater<>> f, b;
f.insert({a[0][1], a[0][2]}), b.insert({a[0][2], a[0][1]});
ll ans = -1;
int y = -1, z = -1;
vector<tuple<int, int, int>> cands;
for (int i = 1; i < n - 1; ++i) {
// add a[i]
auto [fit, sc1] = f.insert({a[i][1], a[i][2]});
auto [bit, sc2] = b.insert({a[i][2], a[i][1]});
if (sc1) {
assert(sc2);
{
int j = int(f.order_of_key({a[i][1], a[i][2]}));
auto other = *b.find_by_order(j);
if (pair{a[i][2], a[i][1]} != other) {
y = max({y, a[i][1], other.y});
z = max({z, a[i][2], other.x});
}
}
{
int j = int(b.order_of_key({a[i][2], a[i][1]}));
auto other = *f.find_by_order(j);
if (pair{a[i][1], a[i][2]} != other) {
y = max({y, a[i][1], other.x});
z = max({z, a[i][2], other.y});
}
}
}
if (a[i][0] == a[i + 1][0]) {
continue;
}
// [0; i] and [i + 1; n - 1]
int x = -1;
for (int j = i + 1; a[j][0] == a[i + 1][0]; ++j) {
if (a[j][1] < y && a[j][2] < z) {
x = a[j][0];
break;
}
}
if (x != -1) {
ans = max(ans, 0ll + x + y + z);
}
}
cout << ans;
}
# |
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 |
0 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 |
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 |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 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 |
0 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 |
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 |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
5 ms |
852 KB |
Output is correct |
27 |
Correct |
5 ms |
852 KB |
Output is correct |
28 |
Correct |
7 ms |
852 KB |
Output is correct |
29 |
Correct |
5 ms |
724 KB |
Output is correct |
30 |
Correct |
5 ms |
592 KB |
Output is correct |
31 |
Correct |
5 ms |
852 KB |
Output is correct |
32 |
Correct |
4 ms |
724 KB |
Output is correct |
33 |
Correct |
5 ms |
596 KB |
Output is correct |
34 |
Correct |
5 ms |
856 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
4 ms |
596 KB |
Output is correct |
38 |
Correct |
4 ms |
596 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 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 |
45 ms |
2004 KB |
Output is correct |
12 |
Correct |
26 ms |
1492 KB |
Output is correct |
13 |
Correct |
29 ms |
1772 KB |
Output is correct |
14 |
Correct |
45 ms |
2176 KB |
Output is correct |
15 |
Correct |
36 ms |
2060 KB |
Output is correct |
16 |
Correct |
34 ms |
2012 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 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 |
45 ms |
2004 KB |
Output is correct |
12 |
Correct |
26 ms |
1492 KB |
Output is correct |
13 |
Correct |
29 ms |
1772 KB |
Output is correct |
14 |
Correct |
45 ms |
2176 KB |
Output is correct |
15 |
Correct |
36 ms |
2060 KB |
Output is correct |
16 |
Correct |
34 ms |
2012 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
63 ms |
2064 KB |
Output is correct |
23 |
Correct |
49 ms |
2024 KB |
Output is correct |
24 |
Correct |
38 ms |
1576 KB |
Output is correct |
25 |
Correct |
52 ms |
2188 KB |
Output is correct |
26 |
Correct |
37 ms |
2036 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 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 |
45 ms |
2004 KB |
Output is correct |
12 |
Correct |
26 ms |
1492 KB |
Output is correct |
13 |
Correct |
29 ms |
1772 KB |
Output is correct |
14 |
Correct |
45 ms |
2176 KB |
Output is correct |
15 |
Correct |
36 ms |
2060 KB |
Output is correct |
16 |
Correct |
34 ms |
2012 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
63 ms |
2064 KB |
Output is correct |
23 |
Correct |
49 ms |
2024 KB |
Output is correct |
24 |
Correct |
38 ms |
1576 KB |
Output is correct |
25 |
Correct |
52 ms |
2188 KB |
Output is correct |
26 |
Correct |
37 ms |
2036 KB |
Output is correct |
27 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
31 |
Correct |
6 ms |
724 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
201 ms |
10900 KB |
Output is correct |
35 |
Correct |
133 ms |
8448 KB |
Output is correct |
36 |
Correct |
174 ms |
7720 KB |
Output is correct |
37 |
Correct |
110 ms |
7204 KB |
Output is correct |
38 |
Correct |
44 ms |
2020 KB |
Output is correct |
39 |
Correct |
173 ms |
12644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 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 |
45 ms |
2004 KB |
Output is correct |
12 |
Correct |
26 ms |
1492 KB |
Output is correct |
13 |
Correct |
29 ms |
1772 KB |
Output is correct |
14 |
Correct |
45 ms |
2176 KB |
Output is correct |
15 |
Correct |
36 ms |
2060 KB |
Output is correct |
16 |
Correct |
34 ms |
2012 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
63 ms |
2064 KB |
Output is correct |
23 |
Correct |
49 ms |
2024 KB |
Output is correct |
24 |
Correct |
38 ms |
1576 KB |
Output is correct |
25 |
Correct |
52 ms |
2188 KB |
Output is correct |
26 |
Correct |
37 ms |
2036 KB |
Output is correct |
27 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
31 |
Correct |
6 ms |
724 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
201 ms |
10900 KB |
Output is correct |
35 |
Correct |
133 ms |
8448 KB |
Output is correct |
36 |
Correct |
174 ms |
7720 KB |
Output is correct |
37 |
Correct |
110 ms |
7204 KB |
Output is correct |
38 |
Correct |
44 ms |
2020 KB |
Output is correct |
39 |
Correct |
173 ms |
12644 KB |
Output is correct |
40 |
Correct |
4 ms |
596 KB |
Output is correct |
41 |
Correct |
6 ms |
852 KB |
Output is correct |
42 |
Correct |
4 ms |
596 KB |
Output is correct |
43 |
Correct |
5 ms |
596 KB |
Output is correct |
44 |
Correct |
417 ms |
20764 KB |
Output is correct |
45 |
Correct |
326 ms |
15384 KB |
Output is correct |
46 |
Correct |
277 ms |
17168 KB |
Output is correct |
47 |
Correct |
254 ms |
14968 KB |
Output is correct |
48 |
Correct |
78 ms |
2756 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 |
0 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 |
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 |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
5 ms |
852 KB |
Output is correct |
27 |
Correct |
5 ms |
852 KB |
Output is correct |
28 |
Correct |
7 ms |
852 KB |
Output is correct |
29 |
Correct |
5 ms |
724 KB |
Output is correct |
30 |
Correct |
5 ms |
592 KB |
Output is correct |
31 |
Correct |
5 ms |
852 KB |
Output is correct |
32 |
Correct |
4 ms |
724 KB |
Output is correct |
33 |
Correct |
5 ms |
596 KB |
Output is correct |
34 |
Correct |
5 ms |
856 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
4 ms |
596 KB |
Output is correct |
38 |
Correct |
4 ms |
596 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
45 ms |
2004 KB |
Output is correct |
51 |
Correct |
26 ms |
1492 KB |
Output is correct |
52 |
Correct |
29 ms |
1772 KB |
Output is correct |
53 |
Correct |
45 ms |
2176 KB |
Output is correct |
54 |
Correct |
36 ms |
2060 KB |
Output is correct |
55 |
Correct |
34 ms |
2012 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
2 ms |
340 KB |
Output is correct |
61 |
Correct |
63 ms |
2064 KB |
Output is correct |
62 |
Correct |
49 ms |
2024 KB |
Output is correct |
63 |
Correct |
38 ms |
1576 KB |
Output is correct |
64 |
Correct |
52 ms |
2188 KB |
Output is correct |
65 |
Correct |
37 ms |
2036 KB |
Output is correct |
66 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
70 |
Correct |
6 ms |
724 KB |
Output is correct |
71 |
Correct |
1 ms |
332 KB |
Output is correct |
72 |
Correct |
1 ms |
340 KB |
Output is correct |
73 |
Correct |
201 ms |
10900 KB |
Output is correct |
74 |
Correct |
133 ms |
8448 KB |
Output is correct |
75 |
Correct |
174 ms |
7720 KB |
Output is correct |
76 |
Correct |
110 ms |
7204 KB |
Output is correct |
77 |
Correct |
44 ms |
2020 KB |
Output is correct |
78 |
Correct |
173 ms |
12644 KB |
Output is correct |
79 |
Correct |
4 ms |
596 KB |
Output is correct |
80 |
Correct |
6 ms |
852 KB |
Output is correct |
81 |
Correct |
4 ms |
596 KB |
Output is correct |
82 |
Correct |
5 ms |
596 KB |
Output is correct |
83 |
Correct |
417 ms |
20764 KB |
Output is correct |
84 |
Correct |
326 ms |
15384 KB |
Output is correct |
85 |
Correct |
277 ms |
17168 KB |
Output is correct |
86 |
Correct |
254 ms |
14968 KB |
Output is correct |
87 |
Correct |
78 ms |
2756 KB |
Output is correct |
88 |
Correct |
445 ms |
20940 KB |
Output is correct |
89 |
Correct |
400 ms |
20048 KB |
Output is correct |
90 |
Correct |
403 ms |
24548 KB |
Output is correct |
91 |
Correct |
345 ms |
21100 KB |
Output is correct |
92 |
Correct |
408 ms |
21804 KB |
Output is correct |
93 |
Correct |
316 ms |
22872 KB |
Output is correct |
94 |
Correct |
313 ms |
21400 KB |
Output is correct |
95 |
Correct |
190 ms |
15168 KB |
Output is correct |
96 |
Correct |
338 ms |
24380 KB |
Output is correct |
97 |
Correct |
51 ms |
4580 KB |
Output is correct |
98 |
Correct |
232 ms |
17044 KB |
Output is correct |
99 |
Correct |
233 ms |
17076 KB |
Output is correct |