#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
long double ptLineDist(long double x1, long double y1, long double x2, long double y2, long double px, long double py){
long double pd2 = (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2);
long double x, y;
if(pd2 == 0){
x = x1;
y = y2;
}
else{
long 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];
}
long double tol = 0.0000000001L;
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<long double, ll> > li;
for(int k = 0; k<n; k++){
bool cross = (y[k]+dx)*(dy-0LL) > (-dx-0LL)*(x[k]-dy);
long 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;
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<long double, ll> > li;
for(int k = 0; k<n; k++){
bool cross = (y[k]+dx)*(dy-0LL) > (-dx-0LL)*(x[k]-dy);
long 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;
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 |
76 ms |
256 KB |
Output is correct |
| 2 |
Correct |
78 ms |
360 KB |
Output is correct |
| 3 |
Correct |
78 ms |
376 KB |
Output is correct |
| 4 |
Correct |
78 ms |
384 KB |
Output is correct |
| 5 |
Correct |
78 ms |
376 KB |
Output is correct |
| 6 |
Correct |
78 ms |
384 KB |
Output is correct |
| 7 |
Correct |
79 ms |
364 KB |
Output is correct |
| 8 |
Correct |
76 ms |
360 KB |
Output is correct |
| 9 |
Correct |
81 ms |
376 KB |
Output is correct |
| 10 |
Correct |
79 ms |
256 KB |
Output is correct |
| 11 |
Correct |
2 ms |
384 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 |
384 KB |
Output is correct |
| 15 |
Incorrect |
2 ms |
256 KB |
Output isn't correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
100 ms |
364 KB |
Output is correct |
| 2 |
Correct |
93 ms |
256 KB |
Output is correct |
| 3 |
Correct |
92 ms |
384 KB |
Output is correct |
| 4 |
Correct |
92 ms |
256 KB |
Output is correct |
| 5 |
Correct |
93 ms |
256 KB |
Output is correct |
| 6 |
Correct |
94 ms |
256 KB |
Output is correct |
| 7 |
Correct |
96 ms |
384 KB |
Output is correct |
| 8 |
Correct |
92 ms |
256 KB |
Output is correct |
| 9 |
Correct |
94 ms |
256 KB |
Output is correct |
| 10 |
Correct |
97 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 |
384 KB |
Output is correct |
| 15 |
Correct |
2 ms |
384 KB |
Output is correct |
| 16 |
Correct |
2 ms |
256 KB |
Output is correct |
| 17 |
Correct |
2 ms |
256 KB |
Output is correct |
| 18 |
Correct |
2 ms |
256 KB |
Output is correct |
| 19 |
Correct |
2 ms |
256 KB |
Output is correct |
| 20 |
Correct |
2 ms |
256 KB |
Output is correct |
| 21 |
Correct |
80 ms |
256 KB |
Output is correct |
| 22 |
Correct |
83 ms |
480 KB |
Output is correct |
| 23 |
Correct |
83 ms |
256 KB |
Output is correct |
| 24 |
Correct |
80 ms |
256 KB |
Output is correct |
| 25 |
Incorrect |
82 ms |
384 KB |
Output isn't correct |
| 26 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
100 ms |
364 KB |
Output is correct |
| 2 |
Correct |
93 ms |
256 KB |
Output is correct |
| 3 |
Correct |
92 ms |
384 KB |
Output is correct |
| 4 |
Correct |
92 ms |
256 KB |
Output is correct |
| 5 |
Correct |
93 ms |
256 KB |
Output is correct |
| 6 |
Correct |
94 ms |
256 KB |
Output is correct |
| 7 |
Correct |
96 ms |
384 KB |
Output is correct |
| 8 |
Correct |
92 ms |
256 KB |
Output is correct |
| 9 |
Correct |
94 ms |
256 KB |
Output is correct |
| 10 |
Correct |
97 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 |
384 KB |
Output is correct |
| 15 |
Correct |
2 ms |
384 KB |
Output is correct |
| 16 |
Correct |
2 ms |
256 KB |
Output is correct |
| 17 |
Correct |
2 ms |
256 KB |
Output is correct |
| 18 |
Correct |
2 ms |
256 KB |
Output is correct |
| 19 |
Correct |
2 ms |
256 KB |
Output is correct |
| 20 |
Correct |
2 ms |
256 KB |
Output is correct |
| 21 |
Correct |
80 ms |
256 KB |
Output is correct |
| 22 |
Correct |
83 ms |
480 KB |
Output is correct |
| 23 |
Correct |
83 ms |
256 KB |
Output is correct |
| 24 |
Correct |
80 ms |
256 KB |
Output is correct |
| 25 |
Incorrect |
82 ms |
384 KB |
Output isn't correct |
| 26 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
100 ms |
364 KB |
Output is correct |
| 2 |
Correct |
93 ms |
256 KB |
Output is correct |
| 3 |
Correct |
92 ms |
384 KB |
Output is correct |
| 4 |
Correct |
92 ms |
256 KB |
Output is correct |
| 5 |
Correct |
93 ms |
256 KB |
Output is correct |
| 6 |
Correct |
94 ms |
256 KB |
Output is correct |
| 7 |
Correct |
96 ms |
384 KB |
Output is correct |
| 8 |
Correct |
92 ms |
256 KB |
Output is correct |
| 9 |
Correct |
94 ms |
256 KB |
Output is correct |
| 10 |
Correct |
97 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 |
384 KB |
Output is correct |
| 15 |
Correct |
2 ms |
384 KB |
Output is correct |
| 16 |
Correct |
2 ms |
256 KB |
Output is correct |
| 17 |
Correct |
2 ms |
256 KB |
Output is correct |
| 18 |
Correct |
2 ms |
256 KB |
Output is correct |
| 19 |
Correct |
2 ms |
256 KB |
Output is correct |
| 20 |
Correct |
2 ms |
256 KB |
Output is correct |
| 21 |
Correct |
80 ms |
256 KB |
Output is correct |
| 22 |
Correct |
83 ms |
480 KB |
Output is correct |
| 23 |
Correct |
83 ms |
256 KB |
Output is correct |
| 24 |
Correct |
80 ms |
256 KB |
Output is correct |
| 25 |
Incorrect |
82 ms |
384 KB |
Output isn't correct |
| 26 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
76 ms |
256 KB |
Output is correct |
| 2 |
Correct |
78 ms |
360 KB |
Output is correct |
| 3 |
Correct |
78 ms |
376 KB |
Output is correct |
| 4 |
Correct |
78 ms |
384 KB |
Output is correct |
| 5 |
Correct |
78 ms |
376 KB |
Output is correct |
| 6 |
Correct |
78 ms |
384 KB |
Output is correct |
| 7 |
Correct |
79 ms |
364 KB |
Output is correct |
| 8 |
Correct |
76 ms |
360 KB |
Output is correct |
| 9 |
Correct |
81 ms |
376 KB |
Output is correct |
| 10 |
Correct |
79 ms |
256 KB |
Output is correct |
| 11 |
Correct |
2 ms |
384 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 |
384 KB |
Output is correct |
| 15 |
Incorrect |
2 ms |
256 KB |
Output isn't correct |
