#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
double ptLineDist(double x1, double y1, double x2, double y2, double px, double py){
double pd2 = (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2);
double x, y;
if(pd2 == 0){
x = x1;
y = y2;
}
else{
double u = ((px-x1) * (x2 - x1) + (py - y1) * (y2-y1)) / pd2;
x = x1 + u * (x2 - x1);
y = y1 + u * (y2 - y1);
}
return (x-px) * (x - px) + (y - py) * (y - py);
}
int main(){
int n;
cin >> n;
ll ans = 0LL;
ll x[n];
ll y[n];
ll v[n];
for(int i = 0; i<n; i++){
cin >> x[i] >> y[i] >> v[i];
}
for(int i = 0; i<n; i++){
ans = max(ans,v[i]);
for(int j = i+1; j<n; j++){
ll dx = x[j]-x[i];
ll dy = y[j]-y[i];
//(dy,-dx);
vector<pair<double, ll> > li;
for(int k = 0; k<n; k++){
bool cross = (y[k]+dx)*(dy-0LL) > (-dx-0LL)*(x[k]-dy);
double dist = ptLineDist(0LL, 0LL, dy, -dx, x[k], y[k]);
if(cross){
li.push_back(make_pair(dist,v[k]));
}
else{
li.push_back(make_pair(-dist,v[k]));
}
}
sort(li.begin(),li.end());
ll bestPre = 0LL;
ll cur = 0LL;
double tol = -1;
for(int k = 0; k<n; k++){
if(k>0 && li[k].first-li[k-1].first>tol){
bestPre = min(bestPre,cur);
}
cur += li[k].second;
if(k==n-1 || li[k+1].first-li[k].first>tol){
ans = max(ans,cur-bestPre);
}
}
}
}
// for(int i = 0; i<n; i++){
// ans = max(ans,v[i]);
// for(int j = i+1; j<n; j++){
// ans = max(ans,v[i]+v[j]);
// ll dx = x[j]-x[i];
// ll dy = y[j]-y[i];
// swap(dx,dy);
// dx = -dx;
// //(dy,-dx);
// vector<pair<double, ll> > li;
// for(int k = 0; k<n; k++){
// bool cross = (y[k]+dx)*(dy-0LL) > (-dx-0LL)*(x[k]-dy);
// double dist = ptLineDist(0LL, 0LL, dy, -dx, x[k], y[k]);
// if(cross){
// li.push_back(make_pair(dist,v[k]));
// }
// else{
// li.push_back(make_pair(-dist,v[k]));
// }
// }
// sort(li.begin(),li.end());
// ll bestPre = 0LL;
// ll cur = 0LL;
// double tol = -1;
// for(int k = 0; k<n; k++){
// if(k>0 && li[k].first-li[k-1].first>tol){
// bestPre = min(bestPre,cur);
// }
// cur += li[k].second;
// if(k==n-1 || li[k+1].first-li[k].first>tol){
// ans = max(ans,cur-bestPre);
// }
// }
// }
// }
cout << ans << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
256 KB |
Output is correct |
2 |
Correct |
17 ms |
376 KB |
Output is correct |
3 |
Correct |
18 ms |
256 KB |
Output is correct |
4 |
Correct |
18 ms |
384 KB |
Output is correct |
5 |
Correct |
18 ms |
256 KB |
Output is correct |
6 |
Correct |
17 ms |
256 KB |
Output is correct |
7 |
Correct |
18 ms |
384 KB |
Output is correct |
8 |
Correct |
18 ms |
256 KB |
Output is correct |
9 |
Correct |
17 ms |
256 KB |
Output is correct |
10 |
Correct |
17 ms |
256 KB |
Output is correct |
11 |
Correct |
2 ms |
256 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
2 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
256 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
31 ms |
256 KB |
Output is correct |
2 |
Correct |
31 ms |
256 KB |
Output is correct |
3 |
Correct |
30 ms |
396 KB |
Output is correct |
4 |
Correct |
30 ms |
256 KB |
Output is correct |
5 |
Correct |
30 ms |
384 KB |
Output is correct |
6 |
Correct |
29 ms |
360 KB |
Output is correct |
7 |
Correct |
29 ms |
256 KB |
Output is correct |
8 |
Incorrect |
29 ms |
384 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
31 ms |
256 KB |
Output is correct |
2 |
Correct |
31 ms |
256 KB |
Output is correct |
3 |
Correct |
30 ms |
396 KB |
Output is correct |
4 |
Correct |
30 ms |
256 KB |
Output is correct |
5 |
Correct |
30 ms |
384 KB |
Output is correct |
6 |
Correct |
29 ms |
360 KB |
Output is correct |
7 |
Correct |
29 ms |
256 KB |
Output is correct |
8 |
Incorrect |
29 ms |
384 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
31 ms |
256 KB |
Output is correct |
2 |
Correct |
31 ms |
256 KB |
Output is correct |
3 |
Correct |
30 ms |
396 KB |
Output is correct |
4 |
Correct |
30 ms |
256 KB |
Output is correct |
5 |
Correct |
30 ms |
384 KB |
Output is correct |
6 |
Correct |
29 ms |
360 KB |
Output is correct |
7 |
Correct |
29 ms |
256 KB |
Output is correct |
8 |
Incorrect |
29 ms |
384 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
256 KB |
Output is correct |
2 |
Correct |
17 ms |
376 KB |
Output is correct |
3 |
Correct |
18 ms |
256 KB |
Output is correct |
4 |
Correct |
18 ms |
384 KB |
Output is correct |
5 |
Correct |
18 ms |
256 KB |
Output is correct |
6 |
Correct |
17 ms |
256 KB |
Output is correct |
7 |
Correct |
18 ms |
384 KB |
Output is correct |
8 |
Correct |
18 ms |
256 KB |
Output is correct |
9 |
Correct |
17 ms |
256 KB |
Output is correct |
10 |
Correct |
17 ms |
256 KB |
Output is correct |
11 |
Correct |
2 ms |
256 KB |
Output is correct |
12 |
Correct |
2 ms |
256 KB |
Output is correct |
13 |
Correct |
2 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
256 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
31 ms |
256 KB |
Output is correct |
17 |
Correct |
31 ms |
256 KB |
Output is correct |
18 |
Correct |
30 ms |
396 KB |
Output is correct |
19 |
Correct |
30 ms |
256 KB |
Output is correct |
20 |
Correct |
30 ms |
384 KB |
Output is correct |
21 |
Correct |
29 ms |
360 KB |
Output is correct |
22 |
Correct |
29 ms |
256 KB |
Output is correct |
23 |
Incorrect |
29 ms |
384 KB |
Output isn't correct |
24 |
Halted |
0 ms |
0 KB |
- |