#include <bits/stdc++.h>
#define int long long
#define all(x) x.begin(),x.end()
#define ff first
#define ss second
#define pb push_back
using namespace std;
signed main(){
int n;
cin>>n;
vector <vector <int> > a;
int mxx=0,mxy=0,mxz=0;
map <int, vector<pair <int,int> > > mp1,mp2,mp3;
map <int, vector<int> > mn1,mn2,mn3;
for(int i=0;i<n;i++){
int x,y,z;
cin>>x>>y>>z;
a.pb({x,y,z});
mxx=max(mxx,x);
mxy=max(mxy,y);
mxz=max(mxz,z);
mp1[x].pb({y,z});
mp2[y].pb({x,z});
mp3[z].pb({x,y});
}
for(auto x : mp1){
sort(all(mp1[x.ff]));
}
for(auto x : mp1){
int mn=1e9;
for(auto y : x.ss){
mn=min(mn,y.ss);
mn1[x.ff].pb(mn);
}
}
for(auto x : mp2){
sort(all(mp2[x.ff]));
}
for(auto x : mp2){
int mn=1e9;
for(auto y : x.ss){
mn=min(mn,y.ss);
mn2[x.ff].pb(mn);
}
}
for(auto x : mp3){
sort(all(mp3[x.ff]));
}
for(auto x : mp3){
int mn=1e9;
for(auto y : x.ss){
mn=min(mn,y.ss);
mn3[x.ff].pb(mn);
}
}
if(n<=300){
int res=-1;
for(int i=0;i<n;i++){
for(int j=i+1;j<n;j++){
for(int k=j+1;k<n;k++){
bool flag=true;
int ans=0;
set <int> st;
for(int t=0;t<3;t++){
int mx=0,cnt=0,x=-1;
mx=max(a[i][t],mx);
mx=max(a[j][t],mx);
mx=max(a[k][t],mx);
if(mx==a[i][t]){
cnt++;x=i;
}
if(mx==a[j][t]){
cnt++;x=j;
}
if(mx==a[k][t]){
cnt++;x=k;
}
if(cnt==1){
ans+=mx;
st.insert(x);
}
else flag=false;
}
if(flag && st.size()==3)res=max(res,ans);
}
}
}
cout<<res<<"\n";return 0;
}
int mx=-1;
for(int i=1;i<=mxx;i++){
for(int j=1;j<=mxy;j++){
for(int k=1;k<=mxz;k++){
bool ok1=0,ok2=0,ok3=0;
if(mp1[i].size()==0 or mp2[j].size()==0 or mp3[k].size()==0)continue;
pair <int,int> p={j-1,k};
auto it=upper_bound(all(mp1[i]),p);
if(it==mp1[i].end() && mn1[i].back()<k)ok1=1;
else if(it!=mp1[i].begin() && mn1[i][it-mp1[i].begin()-1]<k)ok1=1;
p={i-1,k};
it=upper_bound(all(mp2[j]),p);
if(it==mp2[j].end() && mn2[j].back()<k)ok2=1;
else if(it!=mp2[j].begin() && mn2[j][it-mp2[j].begin()-1]<k)ok2=1;
p={i-1,j};
it=upper_bound(all(mp3[k]),p);
if(it==mp3[k].end() && mn3[k].back()<j)ok3=1;
else if(it!=mp3[k].begin() && mn3[k][it-mp3[k].begin()-1]<j)ok3=1;
if(ok1 && ok2 && ok3){
mx=max(mx,i+j+k);
}
}
}
}
cout<<mx<<"\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 |
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 |
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 |
331 ms |
632 KB |
Output is correct |
15 |
Correct |
129 ms |
512 KB |
Output is correct |
16 |
Correct |
200 ms |
544 KB |
Output is correct |
17 |
Correct |
241 ms |
344 KB |
Output is correct |
18 |
Correct |
260 ms |
600 KB |
Output is correct |
19 |
Correct |
301 ms |
520 KB |
Output is correct |
20 |
Correct |
295 ms |
484 KB |
Output is correct |
21 |
Correct |
103 ms |
348 KB |
Output is correct |
22 |
Correct |
136 ms |
616 KB |
Output is correct |
23 |
Correct |
35 ms |
344 KB |
Output is correct |
24 |
Correct |
176 ms |
348 KB |
Output is correct |
25 |
Correct |
160 ms |
520 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 |
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 |
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 |
331 ms |
632 KB |
Output is correct |
15 |
Correct |
129 ms |
512 KB |
Output is correct |
16 |
Correct |
200 ms |
544 KB |
Output is correct |
17 |
Correct |
241 ms |
344 KB |
Output is correct |
18 |
Correct |
260 ms |
600 KB |
Output is correct |
19 |
Correct |
301 ms |
520 KB |
Output is correct |
20 |
Correct |
295 ms |
484 KB |
Output is correct |
21 |
Correct |
103 ms |
348 KB |
Output is correct |
22 |
Correct |
136 ms |
616 KB |
Output is correct |
23 |
Correct |
35 ms |
344 KB |
Output is correct |
24 |
Correct |
176 ms |
348 KB |
Output is correct |
25 |
Correct |
160 ms |
520 KB |
Output is correct |
26 |
Execution timed out |
2029 ms |
3160 KB |
Time limit exceeded |
27 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
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 |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
87 ms |
22008 KB |
Output is correct |
12 |
Correct |
56 ms |
15444 KB |
Output is correct |
13 |
Correct |
63 ms |
19224 KB |
Output is correct |
14 |
Correct |
84 ms |
23912 KB |
Output is correct |
15 |
Correct |
78 ms |
23884 KB |
Output is correct |
16 |
Correct |
75 ms |
29252 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 |
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 |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
87 ms |
22008 KB |
Output is correct |
12 |
Correct |
56 ms |
15444 KB |
Output is correct |
13 |
Correct |
63 ms |
19224 KB |
Output is correct |
14 |
Correct |
84 ms |
23912 KB |
Output is correct |
15 |
Correct |
78 ms |
23884 KB |
Output is correct |
16 |
Correct |
75 ms |
29252 KB |
Output is correct |
17 |
Correct |
1 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 |
281 ms |
484 KB |
Output is correct |
21 |
Correct |
4 ms |
604 KB |
Output is correct |
22 |
Correct |
111 ms |
20664 KB |
Output is correct |
23 |
Correct |
97 ms |
20088 KB |
Output is correct |
24 |
Correct |
74 ms |
15868 KB |
Output is correct |
25 |
Correct |
105 ms |
22448 KB |
Output is correct |
26 |
Correct |
86 ms |
22832 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 |
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 |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
87 ms |
22008 KB |
Output is correct |
12 |
Correct |
56 ms |
15444 KB |
Output is correct |
13 |
Correct |
63 ms |
19224 KB |
Output is correct |
14 |
Correct |
84 ms |
23912 KB |
Output is correct |
15 |
Correct |
78 ms |
23884 KB |
Output is correct |
16 |
Correct |
75 ms |
29252 KB |
Output is correct |
17 |
Correct |
1 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 |
281 ms |
484 KB |
Output is correct |
21 |
Correct |
4 ms |
604 KB |
Output is correct |
22 |
Correct |
111 ms |
20664 KB |
Output is correct |
23 |
Correct |
97 ms |
20088 KB |
Output is correct |
24 |
Correct |
74 ms |
15868 KB |
Output is correct |
25 |
Correct |
105 ms |
22448 KB |
Output is correct |
26 |
Correct |
86 ms |
22832 KB |
Output is correct |
27 |
Correct |
277 ms |
532 KB |
Output is correct |
28 |
Correct |
302 ms |
520 KB |
Output is correct |
29 |
Correct |
158 ms |
344 KB |
Output is correct |
30 |
Correct |
159 ms |
344 KB |
Output is correct |
31 |
Execution timed out |
2064 ms |
1116 KB |
Time limit exceeded |
32 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
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 |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
87 ms |
22008 KB |
Output is correct |
12 |
Correct |
56 ms |
15444 KB |
Output is correct |
13 |
Correct |
63 ms |
19224 KB |
Output is correct |
14 |
Correct |
84 ms |
23912 KB |
Output is correct |
15 |
Correct |
78 ms |
23884 KB |
Output is correct |
16 |
Correct |
75 ms |
29252 KB |
Output is correct |
17 |
Correct |
1 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 |
281 ms |
484 KB |
Output is correct |
21 |
Correct |
4 ms |
604 KB |
Output is correct |
22 |
Correct |
111 ms |
20664 KB |
Output is correct |
23 |
Correct |
97 ms |
20088 KB |
Output is correct |
24 |
Correct |
74 ms |
15868 KB |
Output is correct |
25 |
Correct |
105 ms |
22448 KB |
Output is correct |
26 |
Correct |
86 ms |
22832 KB |
Output is correct |
27 |
Correct |
277 ms |
532 KB |
Output is correct |
28 |
Correct |
302 ms |
520 KB |
Output is correct |
29 |
Correct |
158 ms |
344 KB |
Output is correct |
30 |
Correct |
159 ms |
344 KB |
Output is correct |
31 |
Execution timed out |
2064 ms |
1116 KB |
Time limit exceeded |
32 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
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 |
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 |
331 ms |
632 KB |
Output is correct |
15 |
Correct |
129 ms |
512 KB |
Output is correct |
16 |
Correct |
200 ms |
544 KB |
Output is correct |
17 |
Correct |
241 ms |
344 KB |
Output is correct |
18 |
Correct |
260 ms |
600 KB |
Output is correct |
19 |
Correct |
301 ms |
520 KB |
Output is correct |
20 |
Correct |
295 ms |
484 KB |
Output is correct |
21 |
Correct |
103 ms |
348 KB |
Output is correct |
22 |
Correct |
136 ms |
616 KB |
Output is correct |
23 |
Correct |
35 ms |
344 KB |
Output is correct |
24 |
Correct |
176 ms |
348 KB |
Output is correct |
25 |
Correct |
160 ms |
520 KB |
Output is correct |
26 |
Execution timed out |
2029 ms |
3160 KB |
Time limit exceeded |
27 |
Halted |
0 ms |
0 KB |
- |