#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define pb push_back
#define ff first
#define ss second
#define ins insert
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n; cin>>n;
vector<int> x(n + 1), y(n + 1), z(n + 1);
map<pii, vector<int>> mp1, mp2, mp3;
vector<bool> ban(n + 1);
int m = n;
for (int i = 1; i <= n; i++){
cin>>x[i]>>y[i]>>z[i];
mp1[{x[i], y[i]}].pb(i);
mp2[{x[i], z[i]}].pb(i);
mp3[{y[i], z[i]}].pb(i);
}
multiset<int> sx, sy, sz;
for (int i = 1; i <= n; i++){
sx.ins(x[i]);
sy.ins(y[i]);
sz.ins(z[i]);
}
auto erase = [&](int i){
ban[i] = 1; m--;
sx.erase(sx.find(x[i]));
sy.erase(sy.find(y[i]));
sz.erase(sz.find(z[i]));
};
while (m >= 3){
int f1 = *prev(sx.end()), f2 = *prev(sy.end()), f3 = *prev(sz.end());
bool ind = 1;
for (int j: mp1[{f1, f2}]){
if (ban[j]) continue;
ind = 0;
erase(j);
}
for (int j: mp2[{f1, f3}]){
if (ban[j]) continue;
ind = 0;
erase(j);
}
for (int j: mp3[{f2, f3}]){
if (ban[j]) continue;
ind = 0;
erase(j);
}
if (ind){
cout<<f1 + f2 + f3<<"\n";
return 0;
}
}
cout<<-1<<"\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 |
1 ms |
600 KB |
Output is correct |
4 |
Correct |
0 ms |
600 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
600 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 |
1 ms |
600 KB |
Output is correct |
4 |
Correct |
0 ms |
600 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
600 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
5 ms |
2140 KB |
Output is correct |
27 |
Correct |
6 ms |
2140 KB |
Output is correct |
28 |
Correct |
6 ms |
2396 KB |
Output is correct |
29 |
Correct |
7 ms |
2392 KB |
Output is correct |
30 |
Correct |
4 ms |
1628 KB |
Output is correct |
31 |
Correct |
5 ms |
2396 KB |
Output is correct |
32 |
Correct |
5 ms |
1884 KB |
Output is correct |
33 |
Correct |
4 ms |
1628 KB |
Output is correct |
34 |
Correct |
6 ms |
2140 KB |
Output is correct |
35 |
Correct |
1 ms |
604 KB |
Output is correct |
36 |
Correct |
1 ms |
604 KB |
Output is correct |
37 |
Correct |
4 ms |
1884 KB |
Output is correct |
38 |
Correct |
4 ms |
1884 KB |
Output is correct |
39 |
Correct |
2 ms |
856 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
143 ms |
25396 KB |
Output is correct |
12 |
Correct |
107 ms |
17204 KB |
Output is correct |
13 |
Correct |
84 ms |
20672 KB |
Output is correct |
14 |
Correct |
154 ms |
25428 KB |
Output is correct |
15 |
Correct |
122 ms |
25144 KB |
Output is correct |
16 |
Correct |
118 ms |
25012 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
143 ms |
25396 KB |
Output is correct |
12 |
Correct |
107 ms |
17204 KB |
Output is correct |
13 |
Correct |
84 ms |
20672 KB |
Output is correct |
14 |
Correct |
154 ms |
25428 KB |
Output is correct |
15 |
Correct |
122 ms |
25144 KB |
Output is correct |
16 |
Correct |
118 ms |
25012 KB |
Output is correct |
17 |
Correct |
0 ms |
344 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 |
2 ms |
860 KB |
Output is correct |
22 |
Correct |
165 ms |
25756 KB |
Output is correct |
23 |
Correct |
169 ms |
24912 KB |
Output is correct |
24 |
Correct |
138 ms |
18768 KB |
Output is correct |
25 |
Correct |
198 ms |
25808 KB |
Output is correct |
26 |
Correct |
133 ms |
25264 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
143 ms |
25396 KB |
Output is correct |
12 |
Correct |
107 ms |
17204 KB |
Output is correct |
13 |
Correct |
84 ms |
20672 KB |
Output is correct |
14 |
Correct |
154 ms |
25428 KB |
Output is correct |
15 |
Correct |
122 ms |
25144 KB |
Output is correct |
16 |
Correct |
118 ms |
25012 KB |
Output is correct |
17 |
Correct |
0 ms |
344 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 |
2 ms |
860 KB |
Output is correct |
22 |
Correct |
165 ms |
25756 KB |
Output is correct |
23 |
Correct |
169 ms |
24912 KB |
Output is correct |
24 |
Correct |
138 ms |
18768 KB |
Output is correct |
25 |
Correct |
198 ms |
25808 KB |
Output is correct |
26 |
Correct |
133 ms |
25264 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
6 ms |
1884 KB |
Output is correct |
32 |
Correct |
1 ms |
604 KB |
Output is correct |
33 |
Correct |
2 ms |
604 KB |
Output is correct |
34 |
Correct |
388 ms |
45696 KB |
Output is correct |
35 |
Correct |
346 ms |
40448 KB |
Output is correct |
36 |
Correct |
389 ms |
40936 KB |
Output is correct |
37 |
Correct |
384 ms |
40016 KB |
Output is correct |
38 |
Correct |
162 ms |
26556 KB |
Output is correct |
39 |
Correct |
101 ms |
26092 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
143 ms |
25396 KB |
Output is correct |
12 |
Correct |
107 ms |
17204 KB |
Output is correct |
13 |
Correct |
84 ms |
20672 KB |
Output is correct |
14 |
Correct |
154 ms |
25428 KB |
Output is correct |
15 |
Correct |
122 ms |
25144 KB |
Output is correct |
16 |
Correct |
118 ms |
25012 KB |
Output is correct |
17 |
Correct |
0 ms |
344 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 |
2 ms |
860 KB |
Output is correct |
22 |
Correct |
165 ms |
25756 KB |
Output is correct |
23 |
Correct |
169 ms |
24912 KB |
Output is correct |
24 |
Correct |
138 ms |
18768 KB |
Output is correct |
25 |
Correct |
198 ms |
25808 KB |
Output is correct |
26 |
Correct |
133 ms |
25264 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
6 ms |
1884 KB |
Output is correct |
32 |
Correct |
1 ms |
604 KB |
Output is correct |
33 |
Correct |
2 ms |
604 KB |
Output is correct |
34 |
Correct |
388 ms |
45696 KB |
Output is correct |
35 |
Correct |
346 ms |
40448 KB |
Output is correct |
36 |
Correct |
389 ms |
40936 KB |
Output is correct |
37 |
Correct |
384 ms |
40016 KB |
Output is correct |
38 |
Correct |
162 ms |
26556 KB |
Output is correct |
39 |
Correct |
101 ms |
26092 KB |
Output is correct |
40 |
Correct |
4 ms |
1628 KB |
Output is correct |
41 |
Correct |
5 ms |
2396 KB |
Output is correct |
42 |
Correct |
3 ms |
1928 KB |
Output is correct |
43 |
Correct |
4 ms |
1884 KB |
Output is correct |
44 |
Correct |
443 ms |
74460 KB |
Output is correct |
45 |
Correct |
537 ms |
61264 KB |
Output is correct |
46 |
Correct |
473 ms |
65332 KB |
Output is correct |
47 |
Correct |
534 ms |
59948 KB |
Output is correct |
48 |
Correct |
197 ms |
28948 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 |
1 ms |
600 KB |
Output is correct |
4 |
Correct |
0 ms |
600 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
600 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
5 ms |
2140 KB |
Output is correct |
27 |
Correct |
6 ms |
2140 KB |
Output is correct |
28 |
Correct |
6 ms |
2396 KB |
Output is correct |
29 |
Correct |
7 ms |
2392 KB |
Output is correct |
30 |
Correct |
4 ms |
1628 KB |
Output is correct |
31 |
Correct |
5 ms |
2396 KB |
Output is correct |
32 |
Correct |
5 ms |
1884 KB |
Output is correct |
33 |
Correct |
4 ms |
1628 KB |
Output is correct |
34 |
Correct |
6 ms |
2140 KB |
Output is correct |
35 |
Correct |
1 ms |
604 KB |
Output is correct |
36 |
Correct |
1 ms |
604 KB |
Output is correct |
37 |
Correct |
4 ms |
1884 KB |
Output is correct |
38 |
Correct |
4 ms |
1884 KB |
Output is correct |
39 |
Correct |
2 ms |
856 KB |
Output is correct |
40 |
Correct |
0 ms |
344 KB |
Output is correct |
41 |
Correct |
0 ms |
344 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 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 |
1 ms |
344 KB |
Output is correct |
47 |
Correct |
0 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
143 ms |
25396 KB |
Output is correct |
51 |
Correct |
107 ms |
17204 KB |
Output is correct |
52 |
Correct |
84 ms |
20672 KB |
Output is correct |
53 |
Correct |
154 ms |
25428 KB |
Output is correct |
54 |
Correct |
122 ms |
25144 KB |
Output is correct |
55 |
Correct |
118 ms |
25012 KB |
Output is correct |
56 |
Correct |
0 ms |
344 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 |
2 ms |
860 KB |
Output is correct |
61 |
Correct |
165 ms |
25756 KB |
Output is correct |
62 |
Correct |
169 ms |
24912 KB |
Output is correct |
63 |
Correct |
138 ms |
18768 KB |
Output is correct |
64 |
Correct |
198 ms |
25808 KB |
Output is correct |
65 |
Correct |
133 ms |
25264 KB |
Output is correct |
66 |
Correct |
1 ms |
348 KB |
Output is correct |
67 |
Correct |
1 ms |
348 KB |
Output is correct |
68 |
Correct |
0 ms |
348 KB |
Output is correct |
69 |
Correct |
1 ms |
348 KB |
Output is correct |
70 |
Correct |
6 ms |
1884 KB |
Output is correct |
71 |
Correct |
1 ms |
604 KB |
Output is correct |
72 |
Correct |
2 ms |
604 KB |
Output is correct |
73 |
Correct |
388 ms |
45696 KB |
Output is correct |
74 |
Correct |
346 ms |
40448 KB |
Output is correct |
75 |
Correct |
389 ms |
40936 KB |
Output is correct |
76 |
Correct |
384 ms |
40016 KB |
Output is correct |
77 |
Correct |
162 ms |
26556 KB |
Output is correct |
78 |
Correct |
101 ms |
26092 KB |
Output is correct |
79 |
Correct |
4 ms |
1628 KB |
Output is correct |
80 |
Correct |
5 ms |
2396 KB |
Output is correct |
81 |
Correct |
3 ms |
1928 KB |
Output is correct |
82 |
Correct |
4 ms |
1884 KB |
Output is correct |
83 |
Correct |
443 ms |
74460 KB |
Output is correct |
84 |
Correct |
537 ms |
61264 KB |
Output is correct |
85 |
Correct |
473 ms |
65332 KB |
Output is correct |
86 |
Correct |
534 ms |
59948 KB |
Output is correct |
87 |
Correct |
197 ms |
28948 KB |
Output is correct |
88 |
Correct |
438 ms |
76628 KB |
Output is correct |
89 |
Correct |
501 ms |
74576 KB |
Output is correct |
90 |
Correct |
466 ms |
76220 KB |
Output is correct |
91 |
Correct |
591 ms |
73104 KB |
Output is correct |
92 |
Correct |
497 ms |
73556 KB |
Output is correct |
93 |
Correct |
561 ms |
73572 KB |
Output is correct |
94 |
Correct |
569 ms |
69972 KB |
Output is correct |
95 |
Correct |
315 ms |
52416 KB |
Output is correct |
96 |
Correct |
364 ms |
76400 KB |
Output is correct |
97 |
Correct |
126 ms |
28852 KB |
Output is correct |
98 |
Correct |
171 ms |
58820 KB |
Output is correct |
99 |
Correct |
244 ms |
58708 KB |
Output is correct |