#include <bits/stdc++.h>
#define pb push_back
#define ll long long
#define s second
#define f first
#define left (node<<1),l,((l+r)>>1)
#define right ((node<<1)|1),((l+r)>>1) + 1,r
// #define int ll
using namespace std;
const int N = 150000 + 5;
bool f[N],fix[N];
int x[N],y[N],z[N],cnt[N],mx[6];
int d[3*N],rev[3*N];
map <int,int> mp;
multiset <int> st[5];
vector <int> v[5][N];
signed main() {
ios_base::sync_with_stdio(0),cin.tie(NULL),cout.tie(NULL);
int n;
cin>>n;
int id=0;
for (int i = 1; i <= n; i++){
cin>>x[i]>>y[i]>>z[i];
d[++id] = x[i];
d[++id] = y[i];
d[++id] = z[i];
}
sort(d+1,d+id+1);
int val=0;
for (int i = 1; i <= id; i++){
if (i == 1 || d[i] != d[i - 1]) ++val;
mp[d[i]] = val;
rev[val] = d[i];
}
for (int i = 1; i <= n; i++){
x[i] = mp[x[i]];
y[i] = mp[y[i]];
z[i] = mp[z[i]];
mx[1] = max(mx[1],x[i]);
mx[2] = max(mx[2],y[i]);
mx[3] = max(mx[3],z[i]);
}
queue <int> q;
for (int i = 1; i <= n; i++){
if (x[i] == mx[1]) ++cnt[i];
if (y[i] == mx[2]) ++cnt[i];
if (z[i] == mx[3]) ++cnt[i];
if (cnt[i] > 1) {
q.push(i),fix[i]=1;
}
v[1][x[i]].pb(i);
v[2][y[i]].pb(i);
v[3][z[i]].pb(i);
st[1].insert(x[i]);
st[2].insert(y[i]);
st[3].insert(z[i]);
}
while (q.size()){
int idx = q.front();
q.pop();
if (f[idx]) continue;
f[idx] = 1;
st[1].erase(st[1].find(x[idx]));
st[2].erase(st[2].find(y[idx]));
st[3].erase(st[3].find(z[idx]));
if(st[1].size() == 0){
cout<<-1;
exit(0);
}
mx[1] = *st[1].rbegin();
mx[2] = *st[2].rbegin();
mx[3] = *st[3].rbegin();
for (int j = 1; j <= 3; j++){
for (int p: v[j][mx[j]]){
if (!fix[p]){
cnt[p] = 0;
if (x[p] == mx[1]) ++cnt[p];
if (y[p] == mx[2]) ++cnt[p];
if (z[p] == mx[3]) ++cnt[p];
if (cnt[p] >= 2) {
fix[p] = 1;
q.push(p);
}
}
}
}
}
cout<<rev[mx[1]] + rev[mx[2]] + rev[mx[3]];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
17876 KB |
Output is correct |
2 |
Correct |
8 ms |
17876 KB |
Output is correct |
3 |
Correct |
8 ms |
17884 KB |
Output is correct |
4 |
Correct |
9 ms |
17876 KB |
Output is correct |
5 |
Correct |
7 ms |
17876 KB |
Output is correct |
6 |
Correct |
8 ms |
17980 KB |
Output is correct |
7 |
Correct |
7 ms |
17916 KB |
Output is correct |
8 |
Correct |
8 ms |
17876 KB |
Output is correct |
9 |
Correct |
8 ms |
17876 KB |
Output is correct |
10 |
Correct |
8 ms |
17876 KB |
Output is correct |
11 |
Correct |
8 ms |
17876 KB |
Output is correct |
12 |
Correct |
7 ms |
17876 KB |
Output is correct |
13 |
Correct |
8 ms |
17856 KB |
Output is correct |
14 |
Correct |
9 ms |
18004 KB |
Output is correct |
15 |
Correct |
8 ms |
18004 KB |
Output is correct |
16 |
Correct |
8 ms |
18004 KB |
Output is correct |
17 |
Correct |
8 ms |
18004 KB |
Output is correct |
18 |
Correct |
9 ms |
18004 KB |
Output is correct |
19 |
Correct |
9 ms |
18004 KB |
Output is correct |
20 |
Correct |
9 ms |
17948 KB |
Output is correct |
21 |
Correct |
10 ms |
18004 KB |
Output is correct |
22 |
Correct |
8 ms |
18096 KB |
Output is correct |
23 |
Correct |
8 ms |
18020 KB |
Output is correct |
24 |
Correct |
8 ms |
18004 KB |
Output is correct |
25 |
Correct |
8 ms |
18004 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
17876 KB |
Output is correct |
2 |
Correct |
8 ms |
17876 KB |
Output is correct |
3 |
Correct |
8 ms |
17884 KB |
Output is correct |
4 |
Correct |
9 ms |
17876 KB |
Output is correct |
5 |
Correct |
7 ms |
17876 KB |
Output is correct |
6 |
Correct |
8 ms |
17980 KB |
Output is correct |
7 |
Correct |
7 ms |
17916 KB |
Output is correct |
8 |
Correct |
8 ms |
17876 KB |
Output is correct |
9 |
Correct |
8 ms |
17876 KB |
Output is correct |
10 |
Correct |
8 ms |
17876 KB |
Output is correct |
11 |
Correct |
8 ms |
17876 KB |
Output is correct |
12 |
Correct |
7 ms |
17876 KB |
Output is correct |
13 |
Correct |
8 ms |
17856 KB |
Output is correct |
14 |
Correct |
9 ms |
18004 KB |
Output is correct |
15 |
Correct |
8 ms |
18004 KB |
Output is correct |
16 |
Correct |
8 ms |
18004 KB |
Output is correct |
17 |
Correct |
8 ms |
18004 KB |
Output is correct |
18 |
Correct |
9 ms |
18004 KB |
Output is correct |
19 |
Correct |
9 ms |
18004 KB |
Output is correct |
20 |
Correct |
9 ms |
17948 KB |
Output is correct |
21 |
Correct |
10 ms |
18004 KB |
Output is correct |
22 |
Correct |
8 ms |
18096 KB |
Output is correct |
23 |
Correct |
8 ms |
18020 KB |
Output is correct |
24 |
Correct |
8 ms |
18004 KB |
Output is correct |
25 |
Correct |
8 ms |
18004 KB |
Output is correct |
26 |
Correct |
15 ms |
19540 KB |
Output is correct |
27 |
Correct |
14 ms |
19172 KB |
Output is correct |
28 |
Correct |
16 ms |
19204 KB |
Output is correct |
29 |
Correct |
14 ms |
18988 KB |
Output is correct |
30 |
Correct |
11 ms |
18704 KB |
Output is correct |
31 |
Correct |
13 ms |
18772 KB |
Output is correct |
32 |
Correct |
14 ms |
18764 KB |
Output is correct |
33 |
Correct |
34 ms |
18924 KB |
Output is correct |
34 |
Correct |
16 ms |
19632 KB |
Output is correct |
35 |
Correct |
9 ms |
18132 KB |
Output is correct |
36 |
Correct |
12 ms |
18100 KB |
Output is correct |
37 |
Correct |
12 ms |
18772 KB |
Output is correct |
38 |
Correct |
13 ms |
18780 KB |
Output is correct |
39 |
Correct |
9 ms |
18260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
17892 KB |
Output is correct |
2 |
Correct |
9 ms |
17876 KB |
Output is correct |
3 |
Correct |
9 ms |
17852 KB |
Output is correct |
4 |
Correct |
8 ms |
17908 KB |
Output is correct |
5 |
Correct |
8 ms |
17876 KB |
Output is correct |
6 |
Correct |
8 ms |
17976 KB |
Output is correct |
7 |
Correct |
9 ms |
17876 KB |
Output is correct |
8 |
Correct |
8 ms |
17876 KB |
Output is correct |
9 |
Correct |
8 ms |
17876 KB |
Output is correct |
10 |
Correct |
9 ms |
17876 KB |
Output is correct |
11 |
Execution timed out |
2066 ms |
45276 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
17892 KB |
Output is correct |
2 |
Correct |
9 ms |
17876 KB |
Output is correct |
3 |
Correct |
9 ms |
17852 KB |
Output is correct |
4 |
Correct |
8 ms |
17908 KB |
Output is correct |
5 |
Correct |
8 ms |
17876 KB |
Output is correct |
6 |
Correct |
8 ms |
17976 KB |
Output is correct |
7 |
Correct |
9 ms |
17876 KB |
Output is correct |
8 |
Correct |
8 ms |
17876 KB |
Output is correct |
9 |
Correct |
8 ms |
17876 KB |
Output is correct |
10 |
Correct |
9 ms |
17876 KB |
Output is correct |
11 |
Execution timed out |
2066 ms |
45276 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
17892 KB |
Output is correct |
2 |
Correct |
9 ms |
17876 KB |
Output is correct |
3 |
Correct |
9 ms |
17852 KB |
Output is correct |
4 |
Correct |
8 ms |
17908 KB |
Output is correct |
5 |
Correct |
8 ms |
17876 KB |
Output is correct |
6 |
Correct |
8 ms |
17976 KB |
Output is correct |
7 |
Correct |
9 ms |
17876 KB |
Output is correct |
8 |
Correct |
8 ms |
17876 KB |
Output is correct |
9 |
Correct |
8 ms |
17876 KB |
Output is correct |
10 |
Correct |
9 ms |
17876 KB |
Output is correct |
11 |
Execution timed out |
2066 ms |
45276 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
17892 KB |
Output is correct |
2 |
Correct |
9 ms |
17876 KB |
Output is correct |
3 |
Correct |
9 ms |
17852 KB |
Output is correct |
4 |
Correct |
8 ms |
17908 KB |
Output is correct |
5 |
Correct |
8 ms |
17876 KB |
Output is correct |
6 |
Correct |
8 ms |
17976 KB |
Output is correct |
7 |
Correct |
9 ms |
17876 KB |
Output is correct |
8 |
Correct |
8 ms |
17876 KB |
Output is correct |
9 |
Correct |
8 ms |
17876 KB |
Output is correct |
10 |
Correct |
9 ms |
17876 KB |
Output is correct |
11 |
Execution timed out |
2066 ms |
45276 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
17876 KB |
Output is correct |
2 |
Correct |
8 ms |
17876 KB |
Output is correct |
3 |
Correct |
8 ms |
17884 KB |
Output is correct |
4 |
Correct |
9 ms |
17876 KB |
Output is correct |
5 |
Correct |
7 ms |
17876 KB |
Output is correct |
6 |
Correct |
8 ms |
17980 KB |
Output is correct |
7 |
Correct |
7 ms |
17916 KB |
Output is correct |
8 |
Correct |
8 ms |
17876 KB |
Output is correct |
9 |
Correct |
8 ms |
17876 KB |
Output is correct |
10 |
Correct |
8 ms |
17876 KB |
Output is correct |
11 |
Correct |
8 ms |
17876 KB |
Output is correct |
12 |
Correct |
7 ms |
17876 KB |
Output is correct |
13 |
Correct |
8 ms |
17856 KB |
Output is correct |
14 |
Correct |
9 ms |
18004 KB |
Output is correct |
15 |
Correct |
8 ms |
18004 KB |
Output is correct |
16 |
Correct |
8 ms |
18004 KB |
Output is correct |
17 |
Correct |
8 ms |
18004 KB |
Output is correct |
18 |
Correct |
9 ms |
18004 KB |
Output is correct |
19 |
Correct |
9 ms |
18004 KB |
Output is correct |
20 |
Correct |
9 ms |
17948 KB |
Output is correct |
21 |
Correct |
10 ms |
18004 KB |
Output is correct |
22 |
Correct |
8 ms |
18096 KB |
Output is correct |
23 |
Correct |
8 ms |
18020 KB |
Output is correct |
24 |
Correct |
8 ms |
18004 KB |
Output is correct |
25 |
Correct |
8 ms |
18004 KB |
Output is correct |
26 |
Correct |
15 ms |
19540 KB |
Output is correct |
27 |
Correct |
14 ms |
19172 KB |
Output is correct |
28 |
Correct |
16 ms |
19204 KB |
Output is correct |
29 |
Correct |
14 ms |
18988 KB |
Output is correct |
30 |
Correct |
11 ms |
18704 KB |
Output is correct |
31 |
Correct |
13 ms |
18772 KB |
Output is correct |
32 |
Correct |
14 ms |
18764 KB |
Output is correct |
33 |
Correct |
34 ms |
18924 KB |
Output is correct |
34 |
Correct |
16 ms |
19632 KB |
Output is correct |
35 |
Correct |
9 ms |
18132 KB |
Output is correct |
36 |
Correct |
12 ms |
18100 KB |
Output is correct |
37 |
Correct |
12 ms |
18772 KB |
Output is correct |
38 |
Correct |
13 ms |
18780 KB |
Output is correct |
39 |
Correct |
9 ms |
18260 KB |
Output is correct |
40 |
Correct |
9 ms |
17892 KB |
Output is correct |
41 |
Correct |
9 ms |
17876 KB |
Output is correct |
42 |
Correct |
9 ms |
17852 KB |
Output is correct |
43 |
Correct |
8 ms |
17908 KB |
Output is correct |
44 |
Correct |
8 ms |
17876 KB |
Output is correct |
45 |
Correct |
8 ms |
17976 KB |
Output is correct |
46 |
Correct |
9 ms |
17876 KB |
Output is correct |
47 |
Correct |
8 ms |
17876 KB |
Output is correct |
48 |
Correct |
8 ms |
17876 KB |
Output is correct |
49 |
Correct |
9 ms |
17876 KB |
Output is correct |
50 |
Execution timed out |
2066 ms |
45276 KB |
Time limit exceeded |
51 |
Halted |
0 ms |
0 KB |
- |