#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
const int N = 2e5 + 69;
int n, a[N], b[N], c[N], vis[N], u;
multiset<int> x, y, z;
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int tt = 1;
//cin >> tt;
while (tt--) {
cin >> n;
multiset<tuple<int, int, int>> st1, st2, st3;
multiset<tuple<int, int, int, int>> ev;
for (int i = 1;i <= n;i++) {
cin >> a[i] >> b[i] >> c[i];
st1.insert({a[i], b[i], i});
st2.insert({a[i], c[i], i});
st3.insert({b[i], c[i], i});
ev.insert({a[i], b[i], c[i], i});
x.insert(a[i]);
y.insert(b[i]);
z.insert(c[i]);
}
while (!x.empty()) {
auto mx = *x.rbegin();
auto my = *y.rbegin();
auto mz = *z.rbegin();
auto u1 = st1.lower_bound({mx, my, -1});
auto u2 = st2.lower_bound({mx, mz, -1});
auto u3 = st3.lower_bound({my, mz, -1});
auto u4 = ev.lower_bound({mx, my, mx, -1});
if (u1 != st1.end() && get<0>(*u1) == mx && get<1>(*u1) == my) {
int i = get<2>(*u1);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else if (u2 != st2.end() && get<0>(*u2) == mx && get<1>(*u2) == mz) {
int i = get<2>(*u2);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else if (u3 != st3.end() && get<0>(*u3) == my && get<1>(*u3) == mz) {
int i = get<2>(*u3);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else if (u4 != ev.end() && get<0>(*u4) == mx && get<1>(*u4) == my && get<2>(*u4) == mz) {
int i = get<3>(*u4);
x.erase(x.find(a[i]));
y.erase(y.find(b[i]));
z.erase(z.find(c[i]));
st1.erase(st1.find({a[i], b[i], i}));
st2.erase(st2.find({a[i], c[i], i}));
st3.erase(st3.find({b[i], c[i], i}));
ev.erase(ev.find({a[i], b[i], c[i], i}));
vis[i] = 1;
}
else
break;
}
int ans = -1;
int mx = 0, my = 0, mz = 0;
for (int i = 1;i <= n;i++) {
if (!vis[i]) {
u++;
mx = max(mx, a[i]);
my = max(my, b[i]);
mz = max(mz, c[i]);
}
}
if (u > 2)
ans = mx + my + mz;
cout << ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2516 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2652 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
2 ms |
2652 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2516 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2652 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
2 ms |
2652 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
6 ms |
4184 KB |
Output is correct |
27 |
Correct |
6 ms |
4184 KB |
Output is correct |
28 |
Correct |
7 ms |
4188 KB |
Output is correct |
29 |
Correct |
8 ms |
4188 KB |
Output is correct |
30 |
Correct |
7 ms |
3920 KB |
Output is correct |
31 |
Correct |
6 ms |
4088 KB |
Output is correct |
32 |
Correct |
9 ms |
3932 KB |
Output is correct |
33 |
Correct |
8 ms |
3932 KB |
Output is correct |
34 |
Correct |
6 ms |
4188 KB |
Output is correct |
35 |
Correct |
1 ms |
2652 KB |
Output is correct |
36 |
Correct |
2 ms |
2652 KB |
Output is correct |
37 |
Correct |
4 ms |
3932 KB |
Output is correct |
38 |
Correct |
7 ms |
4064 KB |
Output is correct |
39 |
Correct |
3 ms |
3164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2516 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2392 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2592 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
458 ms |
62804 KB |
Output is correct |
12 |
Correct |
307 ms |
42904 KB |
Output is correct |
13 |
Correct |
264 ms |
52304 KB |
Output is correct |
14 |
Correct |
505 ms |
62548 KB |
Output is correct |
15 |
Correct |
397 ms |
62592 KB |
Output is correct |
16 |
Correct |
265 ms |
62508 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2516 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2392 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2592 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
458 ms |
62804 KB |
Output is correct |
12 |
Correct |
307 ms |
42904 KB |
Output is correct |
13 |
Correct |
264 ms |
52304 KB |
Output is correct |
14 |
Correct |
505 ms |
62548 KB |
Output is correct |
15 |
Correct |
397 ms |
62592 KB |
Output is correct |
16 |
Correct |
265 ms |
62508 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
1 ms |
2648 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
3 ms |
3164 KB |
Output is correct |
22 |
Correct |
650 ms |
62812 KB |
Output is correct |
23 |
Correct |
579 ms |
61012 KB |
Output is correct |
24 |
Correct |
448 ms |
46028 KB |
Output is correct |
25 |
Correct |
709 ms |
62712 KB |
Output is correct |
26 |
Correct |
424 ms |
62736 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2516 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2392 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2592 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
458 ms |
62804 KB |
Output is correct |
12 |
Correct |
307 ms |
42904 KB |
Output is correct |
13 |
Correct |
264 ms |
52304 KB |
Output is correct |
14 |
Correct |
505 ms |
62548 KB |
Output is correct |
15 |
Correct |
397 ms |
62592 KB |
Output is correct |
16 |
Correct |
265 ms |
62508 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
1 ms |
2648 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
3 ms |
3164 KB |
Output is correct |
22 |
Correct |
650 ms |
62812 KB |
Output is correct |
23 |
Correct |
579 ms |
61012 KB |
Output is correct |
24 |
Correct |
448 ms |
46028 KB |
Output is correct |
25 |
Correct |
709 ms |
62712 KB |
Output is correct |
26 |
Correct |
424 ms |
62736 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2648 KB |
Output is correct |
31 |
Correct |
10 ms |
4060 KB |
Output is correct |
32 |
Correct |
1 ms |
2648 KB |
Output is correct |
33 |
Correct |
2 ms |
2652 KB |
Output is correct |
34 |
Correct |
737 ms |
60164 KB |
Output is correct |
35 |
Correct |
768 ms |
57628 KB |
Output is correct |
36 |
Correct |
891 ms |
63248 KB |
Output is correct |
37 |
Correct |
943 ms |
62456 KB |
Output is correct |
38 |
Correct |
511 ms |
61888 KB |
Output is correct |
39 |
Correct |
215 ms |
38740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2516 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2392 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
0 ms |
2392 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2592 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
458 ms |
62804 KB |
Output is correct |
12 |
Correct |
307 ms |
42904 KB |
Output is correct |
13 |
Correct |
264 ms |
52304 KB |
Output is correct |
14 |
Correct |
505 ms |
62548 KB |
Output is correct |
15 |
Correct |
397 ms |
62592 KB |
Output is correct |
16 |
Correct |
265 ms |
62508 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
1 ms |
2648 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
3 ms |
3164 KB |
Output is correct |
22 |
Correct |
650 ms |
62812 KB |
Output is correct |
23 |
Correct |
579 ms |
61012 KB |
Output is correct |
24 |
Correct |
448 ms |
46028 KB |
Output is correct |
25 |
Correct |
709 ms |
62712 KB |
Output is correct |
26 |
Correct |
424 ms |
62736 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2648 KB |
Output is correct |
31 |
Correct |
10 ms |
4060 KB |
Output is correct |
32 |
Correct |
1 ms |
2648 KB |
Output is correct |
33 |
Correct |
2 ms |
2652 KB |
Output is correct |
34 |
Correct |
737 ms |
60164 KB |
Output is correct |
35 |
Correct |
768 ms |
57628 KB |
Output is correct |
36 |
Correct |
891 ms |
63248 KB |
Output is correct |
37 |
Correct |
943 ms |
62456 KB |
Output is correct |
38 |
Correct |
511 ms |
61888 KB |
Output is correct |
39 |
Correct |
215 ms |
38740 KB |
Output is correct |
40 |
Correct |
5 ms |
3416 KB |
Output is correct |
41 |
Correct |
6 ms |
3932 KB |
Output is correct |
42 |
Correct |
4 ms |
3932 KB |
Output is correct |
43 |
Correct |
6 ms |
4060 KB |
Output is correct |
44 |
Correct |
914 ms |
63244 KB |
Output is correct |
45 |
Correct |
1115 ms |
63332 KB |
Output is correct |
46 |
Correct |
1099 ms |
64164 KB |
Output is correct |
47 |
Correct |
1119 ms |
63876 KB |
Output is correct |
48 |
Correct |
588 ms |
64140 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2516 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2652 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
2 ms |
2652 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
6 ms |
4184 KB |
Output is correct |
27 |
Correct |
6 ms |
4184 KB |
Output is correct |
28 |
Correct |
7 ms |
4188 KB |
Output is correct |
29 |
Correct |
8 ms |
4188 KB |
Output is correct |
30 |
Correct |
7 ms |
3920 KB |
Output is correct |
31 |
Correct |
6 ms |
4088 KB |
Output is correct |
32 |
Correct |
9 ms |
3932 KB |
Output is correct |
33 |
Correct |
8 ms |
3932 KB |
Output is correct |
34 |
Correct |
6 ms |
4188 KB |
Output is correct |
35 |
Correct |
1 ms |
2652 KB |
Output is correct |
36 |
Correct |
2 ms |
2652 KB |
Output is correct |
37 |
Correct |
4 ms |
3932 KB |
Output is correct |
38 |
Correct |
7 ms |
4064 KB |
Output is correct |
39 |
Correct |
3 ms |
3164 KB |
Output is correct |
40 |
Correct |
1 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2516 KB |
Output is correct |
42 |
Correct |
1 ms |
2392 KB |
Output is correct |
43 |
Correct |
1 ms |
2392 KB |
Output is correct |
44 |
Correct |
1 ms |
2396 KB |
Output is correct |
45 |
Correct |
0 ms |
2392 KB |
Output is correct |
46 |
Correct |
0 ms |
2396 KB |
Output is correct |
47 |
Correct |
1 ms |
2592 KB |
Output is correct |
48 |
Correct |
1 ms |
2396 KB |
Output is correct |
49 |
Correct |
1 ms |
2396 KB |
Output is correct |
50 |
Correct |
458 ms |
62804 KB |
Output is correct |
51 |
Correct |
307 ms |
42904 KB |
Output is correct |
52 |
Correct |
264 ms |
52304 KB |
Output is correct |
53 |
Correct |
505 ms |
62548 KB |
Output is correct |
54 |
Correct |
397 ms |
62592 KB |
Output is correct |
55 |
Correct |
265 ms |
62508 KB |
Output is correct |
56 |
Correct |
1 ms |
2392 KB |
Output is correct |
57 |
Correct |
1 ms |
2648 KB |
Output is correct |
58 |
Correct |
1 ms |
2396 KB |
Output is correct |
59 |
Correct |
1 ms |
2396 KB |
Output is correct |
60 |
Correct |
3 ms |
3164 KB |
Output is correct |
61 |
Correct |
650 ms |
62812 KB |
Output is correct |
62 |
Correct |
579 ms |
61012 KB |
Output is correct |
63 |
Correct |
448 ms |
46028 KB |
Output is correct |
64 |
Correct |
709 ms |
62712 KB |
Output is correct |
65 |
Correct |
424 ms |
62736 KB |
Output is correct |
66 |
Correct |
1 ms |
2396 KB |
Output is correct |
67 |
Correct |
1 ms |
2396 KB |
Output is correct |
68 |
Correct |
1 ms |
2396 KB |
Output is correct |
69 |
Correct |
1 ms |
2648 KB |
Output is correct |
70 |
Correct |
10 ms |
4060 KB |
Output is correct |
71 |
Correct |
1 ms |
2648 KB |
Output is correct |
72 |
Correct |
2 ms |
2652 KB |
Output is correct |
73 |
Correct |
737 ms |
60164 KB |
Output is correct |
74 |
Correct |
768 ms |
57628 KB |
Output is correct |
75 |
Correct |
891 ms |
63248 KB |
Output is correct |
76 |
Correct |
943 ms |
62456 KB |
Output is correct |
77 |
Correct |
511 ms |
61888 KB |
Output is correct |
78 |
Correct |
215 ms |
38740 KB |
Output is correct |
79 |
Correct |
5 ms |
3416 KB |
Output is correct |
80 |
Correct |
6 ms |
3932 KB |
Output is correct |
81 |
Correct |
4 ms |
3932 KB |
Output is correct |
82 |
Correct |
6 ms |
4060 KB |
Output is correct |
83 |
Correct |
914 ms |
63244 KB |
Output is correct |
84 |
Correct |
1115 ms |
63332 KB |
Output is correct |
85 |
Correct |
1099 ms |
64164 KB |
Output is correct |
86 |
Correct |
1119 ms |
63876 KB |
Output is correct |
87 |
Correct |
588 ms |
64140 KB |
Output is correct |
88 |
Correct |
643 ms |
65528 KB |
Output is correct |
89 |
Correct |
731 ms |
65872 KB |
Output is correct |
90 |
Correct |
747 ms |
65860 KB |
Output is correct |
91 |
Correct |
837 ms |
66060 KB |
Output is correct |
92 |
Correct |
819 ms |
64528 KB |
Output is correct |
93 |
Correct |
840 ms |
64748 KB |
Output is correct |
94 |
Correct |
911 ms |
64672 KB |
Output is correct |
95 |
Correct |
555 ms |
65616 KB |
Output is correct |
96 |
Correct |
349 ms |
65872 KB |
Output is correct |
97 |
Correct |
279 ms |
65912 KB |
Output is correct |
98 |
Correct |
253 ms |
64332 KB |
Output is correct |
99 |
Correct |
290 ms |
64340 KB |
Output is correct |