/*
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
*/
#include<bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
using namespace std;
typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int>vi;
typedef vector<vector<int>>vvi;
typedef vector<ll>vl;
typedef vector<vl> vvl;
typedef pair<int,int>pi;
typedef pair<ll,ll> pl;
typedef vector<pl> vpl;
typedef vector<ld> vld;
typedef pair<ld,ld> pld;
typedef vector<pi> vpi;
//typedef tree<ll, null_type, less_equal<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
template<typename T> ostream& operator<<(ostream& os, vector<T>& a){os<<"[";for(int i=0; i<ll(a.size()); i++){os << a[i] << ((i!=ll(a.size()-1)?" ":""));}os << "]\n"; return os;}
#define all(x) x.begin(),x.end()
#define YES out("YES")
#define NO out("NO")
#define out(x){cout << x << "\n"; return;}
#define outfl(x){cout << x << endl;return;}
#define GLHF ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define print(x){for(auto ait:x) cout << ait << " "; cout << "\n";}
#define pb push_back
#define umap unordered_map
template<typename T>
void read(vector<T>& v){
int n=v.size();
for(int i=0; i<n; i++)
cin >> v[i];
}
template<typename T>
vector<T>UNQ(vector<T>a){
vector<T>ans;
for(T t:a)
if(ans.empty() || t!=ans.back())
ans.push_back(t);
return ans;
}
void solve();
int main(){
GLHF;
int t=1;
//cin >> t;
while(t--)
solve();
}
void solve() {
int n;
cin >> n;
vvi a(n,vi(3));
for(int i=0; i<n; i++)
read(a[i]);
multiset<int>X,Y,Z;
map<pi,int>xy,yz,xz;
map<pi,multiset<int>>xy_to_z,xz_to_y,yz_to_x;
for(int i=0; i<n; i++){
int x=a[i][0],y=a[i][1],z=a[i][2];
xy[{x,y}]++;
xz[{x,z}]++;
yz[{y,z}]++;
X.insert(x);
Y.insert(y);
Z.insert(z);
xy_to_z[{x,y}].insert(z);
xz_to_y[{x,z}].insert(y);
yz_to_x[{y,z}].insert(x);
}
while(X.size()){
int x=*X.rbegin(),y=*Y.rbegin(),z=*Z.rbegin();
if(xy[{x,y}])
z = *xy_to_z[{x,y}].begin();
else if(yz[{y,z}])
x = *yz_to_x[{y,z}].begin();
else if(xz[{x,z}])
y = *xz_to_y[{x,z}].begin();
else
break;
Z.erase(Z.find(z));
X.erase(X.find(x));
Y.erase(Y.find(y));
xy_to_z[{x,y}].erase(xy_to_z[{x,y}].find(z));
xz_to_y[{x,z}].erase(xz_to_y[{x,z}].find(y));
yz_to_x[{y,z}].erase(yz_to_x[{y,z}].find(x));
xy[{x,y}]--;
xz[{x,z}]--;
yz[{y,z}]--;
}
if(X.size())out(*X.rbegin()+*Y.rbegin()+*Z.rbegin())
else out(-1)
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
244 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 |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
244 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 |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
16 ms |
3572 KB |
Output is correct |
27 |
Correct |
13 ms |
3432 KB |
Output is correct |
28 |
Correct |
14 ms |
3448 KB |
Output is correct |
29 |
Correct |
24 ms |
3396 KB |
Output is correct |
30 |
Correct |
10 ms |
2388 KB |
Output is correct |
31 |
Correct |
15 ms |
3540 KB |
Output is correct |
32 |
Correct |
16 ms |
2900 KB |
Output is correct |
33 |
Correct |
12 ms |
2516 KB |
Output is correct |
34 |
Correct |
13 ms |
3412 KB |
Output is correct |
35 |
Correct |
2 ms |
852 KB |
Output is correct |
36 |
Correct |
2 ms |
852 KB |
Output is correct |
37 |
Correct |
7 ms |
2900 KB |
Output is correct |
38 |
Correct |
11 ms |
2900 KB |
Output is correct |
39 |
Correct |
4 ms |
1108 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
0 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 |
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 |
454 ms |
50776 KB |
Output is correct |
12 |
Correct |
272 ms |
33928 KB |
Output is correct |
13 |
Correct |
236 ms |
41868 KB |
Output is correct |
14 |
Correct |
438 ms |
50764 KB |
Output is correct |
15 |
Correct |
344 ms |
50764 KB |
Output is correct |
16 |
Correct |
266 ms |
50780 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
0 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 |
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 |
454 ms |
50776 KB |
Output is correct |
12 |
Correct |
272 ms |
33928 KB |
Output is correct |
13 |
Correct |
236 ms |
41868 KB |
Output is correct |
14 |
Correct |
438 ms |
50764 KB |
Output is correct |
15 |
Correct |
344 ms |
50764 KB |
Output is correct |
16 |
Correct |
266 ms |
50780 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
4 ms |
1108 KB |
Output is correct |
22 |
Correct |
636 ms |
51028 KB |
Output is correct |
23 |
Correct |
570 ms |
49748 KB |
Output is correct |
24 |
Correct |
412 ms |
36952 KB |
Output is correct |
25 |
Correct |
639 ms |
50780 KB |
Output is correct |
26 |
Correct |
361 ms |
50804 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
0 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 |
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 |
454 ms |
50776 KB |
Output is correct |
12 |
Correct |
272 ms |
33928 KB |
Output is correct |
13 |
Correct |
236 ms |
41868 KB |
Output is correct |
14 |
Correct |
438 ms |
50764 KB |
Output is correct |
15 |
Correct |
344 ms |
50764 KB |
Output is correct |
16 |
Correct |
266 ms |
50780 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
4 ms |
1108 KB |
Output is correct |
22 |
Correct |
636 ms |
51028 KB |
Output is correct |
23 |
Correct |
570 ms |
49748 KB |
Output is correct |
24 |
Correct |
412 ms |
36952 KB |
Output is correct |
25 |
Correct |
639 ms |
50780 KB |
Output is correct |
26 |
Correct |
361 ms |
50804 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
16 ms |
2900 KB |
Output is correct |
32 |
Correct |
2 ms |
852 KB |
Output is correct |
33 |
Correct |
2 ms |
852 KB |
Output is correct |
34 |
Correct |
1169 ms |
82016 KB |
Output is correct |
35 |
Correct |
1083 ms |
70872 KB |
Output is correct |
36 |
Correct |
1214 ms |
74188 KB |
Output is correct |
37 |
Correct |
1384 ms |
72232 KB |
Output is correct |
38 |
Correct |
459 ms |
51348 KB |
Output is correct |
39 |
Correct |
294 ms |
45676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
0 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 |
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 |
454 ms |
50776 KB |
Output is correct |
12 |
Correct |
272 ms |
33928 KB |
Output is correct |
13 |
Correct |
236 ms |
41868 KB |
Output is correct |
14 |
Correct |
438 ms |
50764 KB |
Output is correct |
15 |
Correct |
344 ms |
50764 KB |
Output is correct |
16 |
Correct |
266 ms |
50780 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
4 ms |
1108 KB |
Output is correct |
22 |
Correct |
636 ms |
51028 KB |
Output is correct |
23 |
Correct |
570 ms |
49748 KB |
Output is correct |
24 |
Correct |
412 ms |
36952 KB |
Output is correct |
25 |
Correct |
639 ms |
50780 KB |
Output is correct |
26 |
Correct |
361 ms |
50804 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
16 ms |
2900 KB |
Output is correct |
32 |
Correct |
2 ms |
852 KB |
Output is correct |
33 |
Correct |
2 ms |
852 KB |
Output is correct |
34 |
Correct |
1169 ms |
82016 KB |
Output is correct |
35 |
Correct |
1083 ms |
70872 KB |
Output is correct |
36 |
Correct |
1214 ms |
74188 KB |
Output is correct |
37 |
Correct |
1384 ms |
72232 KB |
Output is correct |
38 |
Correct |
459 ms |
51348 KB |
Output is correct |
39 |
Correct |
294 ms |
45676 KB |
Output is correct |
40 |
Correct |
10 ms |
2528 KB |
Output is correct |
41 |
Correct |
12 ms |
3540 KB |
Output is correct |
42 |
Correct |
9 ms |
2872 KB |
Output is correct |
43 |
Correct |
11 ms |
2900 KB |
Output is correct |
44 |
Correct |
1404 ms |
122872 KB |
Output is correct |
45 |
Correct |
1713 ms |
103128 KB |
Output is correct |
46 |
Correct |
1710 ms |
109820 KB |
Output is correct |
47 |
Correct |
1881 ms |
101448 KB |
Output is correct |
48 |
Correct |
617 ms |
54848 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
244 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 |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
16 ms |
3572 KB |
Output is correct |
27 |
Correct |
13 ms |
3432 KB |
Output is correct |
28 |
Correct |
14 ms |
3448 KB |
Output is correct |
29 |
Correct |
24 ms |
3396 KB |
Output is correct |
30 |
Correct |
10 ms |
2388 KB |
Output is correct |
31 |
Correct |
15 ms |
3540 KB |
Output is correct |
32 |
Correct |
16 ms |
2900 KB |
Output is correct |
33 |
Correct |
12 ms |
2516 KB |
Output is correct |
34 |
Correct |
13 ms |
3412 KB |
Output is correct |
35 |
Correct |
2 ms |
852 KB |
Output is correct |
36 |
Correct |
2 ms |
852 KB |
Output is correct |
37 |
Correct |
7 ms |
2900 KB |
Output is correct |
38 |
Correct |
11 ms |
2900 KB |
Output is correct |
39 |
Correct |
4 ms |
1108 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 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 |
454 ms |
50776 KB |
Output is correct |
51 |
Correct |
272 ms |
33928 KB |
Output is correct |
52 |
Correct |
236 ms |
41868 KB |
Output is correct |
53 |
Correct |
438 ms |
50764 KB |
Output is correct |
54 |
Correct |
344 ms |
50764 KB |
Output is correct |
55 |
Correct |
266 ms |
50780 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
468 KB |
Output is correct |
60 |
Correct |
4 ms |
1108 KB |
Output is correct |
61 |
Correct |
636 ms |
51028 KB |
Output is correct |
62 |
Correct |
570 ms |
49748 KB |
Output is correct |
63 |
Correct |
412 ms |
36952 KB |
Output is correct |
64 |
Correct |
639 ms |
50780 KB |
Output is correct |
65 |
Correct |
361 ms |
50804 KB |
Output is correct |
66 |
Correct |
1 ms |
468 KB |
Output is correct |
67 |
Correct |
1 ms |
468 KB |
Output is correct |
68 |
Correct |
1 ms |
468 KB |
Output is correct |
69 |
Correct |
1 ms |
468 KB |
Output is correct |
70 |
Correct |
16 ms |
2900 KB |
Output is correct |
71 |
Correct |
2 ms |
852 KB |
Output is correct |
72 |
Correct |
2 ms |
852 KB |
Output is correct |
73 |
Correct |
1169 ms |
82016 KB |
Output is correct |
74 |
Correct |
1083 ms |
70872 KB |
Output is correct |
75 |
Correct |
1214 ms |
74188 KB |
Output is correct |
76 |
Correct |
1384 ms |
72232 KB |
Output is correct |
77 |
Correct |
459 ms |
51348 KB |
Output is correct |
78 |
Correct |
294 ms |
45676 KB |
Output is correct |
79 |
Correct |
10 ms |
2528 KB |
Output is correct |
80 |
Correct |
12 ms |
3540 KB |
Output is correct |
81 |
Correct |
9 ms |
2872 KB |
Output is correct |
82 |
Correct |
11 ms |
2900 KB |
Output is correct |
83 |
Correct |
1404 ms |
122872 KB |
Output is correct |
84 |
Correct |
1713 ms |
103128 KB |
Output is correct |
85 |
Correct |
1710 ms |
109820 KB |
Output is correct |
86 |
Correct |
1881 ms |
101448 KB |
Output is correct |
87 |
Correct |
617 ms |
54848 KB |
Output is correct |
88 |
Correct |
1024 ms |
125208 KB |
Output is correct |
89 |
Correct |
1320 ms |
122248 KB |
Output is correct |
90 |
Correct |
1143 ms |
124720 KB |
Output is correct |
91 |
Correct |
1534 ms |
120180 KB |
Output is correct |
92 |
Correct |
1295 ms |
121604 KB |
Output is correct |
93 |
Correct |
1551 ms |
121376 KB |
Output is correct |
94 |
Correct |
1600 ms |
116240 KB |
Output is correct |
95 |
Correct |
785 ms |
89560 KB |
Output is correct |
96 |
Correct |
718 ms |
125132 KB |
Output is correct |
97 |
Correct |
296 ms |
54856 KB |
Output is correct |
98 |
Correct |
420 ms |
100272 KB |
Output is correct |
99 |
Correct |
576 ms |
100412 KB |
Output is correct |