#include <bits/stdc++.h>
using namespace std;
typedef long double F;
typedef complex<F> point;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<point> a(n);
vector<int> w(n);
for (int i = 0; i < n; i++) {
int x, y;
cin >> x >> y >> w[i];
a[i] = point(x, y);
}
vector<F> thetas = [&] { // Gives a list of critical points in [-pi/2,pi/2) in order, expressed by (i, j) : before the critical point i<j and after that i>j. When exactly are the critical points are not returned
vector<F> res = {-1.57079632679};
for (int i = 0; i < n; i++) {
for (int j = i + 1; j < n; j++) {
if (y0 != y1) {
F tan = (a[i].real() - a[j].real()) / (a[i].imag() - a[j].imag());
res.push_back(atan(tan));
}
}
}
sort(res.begin(), res.end());
return res;
}();
long long ans = 0;
for (F theta : thetas) {
vector<int> p(n);
iota(p.begin(), p.end(), 0);
sort(p.begin(), p.end(), [&](int i, int j) -> bool {
point x(cos(theta) * a[i].real() - sin(theta) * a[i].imag(), sin(theta) * a[i].real() + cos(theta) * a[i].imag());
point y(cos(theta) * a[j].real() - sin(theta) * a[j].imag(), sin(theta) * a[j].real() + cos(theta) * a[j].imag());
return x.real() < y.real();
});
long long sum = 0;
long long mnsum = 0;
for (int i : p) {
sum += w[i];
ans = max(ans, sum - mnsum);
mnsum = min(mnsum, sum);
}
}
cout << ans << '\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
45 ms |
592 KB |
Output is correct |
| 2 |
Correct |
53 ms |
592 KB |
Output is correct |
| 3 |
Correct |
44 ms |
592 KB |
Output is correct |
| 4 |
Correct |
43 ms |
592 KB |
Output is correct |
| 5 |
Correct |
50 ms |
592 KB |
Output is correct |
| 6 |
Correct |
51 ms |
592 KB |
Output is correct |
| 7 |
Correct |
41 ms |
760 KB |
Output is correct |
| 8 |
Correct |
47 ms |
848 KB |
Output is correct |
| 9 |
Correct |
42 ms |
592 KB |
Output is correct |
| 10 |
Correct |
41 ms |
592 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
336 KB |
Output is correct |
| 13 |
Correct |
1 ms |
336 KB |
Output is correct |
| 14 |
Correct |
1 ms |
336 KB |
Output is correct |
| 15 |
Correct |
1 ms |
336 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
53 ms |
592 KB |
Output is correct |
| 2 |
Correct |
43 ms |
592 KB |
Output is correct |
| 3 |
Correct |
53 ms |
592 KB |
Output is correct |
| 4 |
Correct |
47 ms |
608 KB |
Output is correct |
| 5 |
Correct |
45 ms |
592 KB |
Output is correct |
| 6 |
Correct |
51 ms |
592 KB |
Output is correct |
| 7 |
Correct |
45 ms |
592 KB |
Output is correct |
| 8 |
Correct |
44 ms |
592 KB |
Output is correct |
| 9 |
Correct |
53 ms |
592 KB |
Output is correct |
| 10 |
Correct |
44 ms |
592 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
336 KB |
Output is correct |
| 13 |
Correct |
1 ms |
336 KB |
Output is correct |
| 14 |
Correct |
1 ms |
336 KB |
Output is correct |
| 15 |
Correct |
1 ms |
336 KB |
Output is correct |
| 16 |
Correct |
1 ms |
336 KB |
Output is correct |
| 17 |
Correct |
1 ms |
336 KB |
Output is correct |
| 18 |
Correct |
1 ms |
336 KB |
Output is correct |
| 19 |
Correct |
1 ms |
504 KB |
Output is correct |
| 20 |
Correct |
1 ms |
336 KB |
Output is correct |
| 21 |
Correct |
44 ms |
592 KB |
Output is correct |
| 22 |
Correct |
44 ms |
592 KB |
Output is correct |
| 23 |
Correct |
44 ms |
592 KB |
Output is correct |
| 24 |
Correct |
43 ms |
592 KB |
Output is correct |
| 25 |
Correct |
44 ms |
592 KB |
Output is correct |
| 26 |
Correct |
45 ms |
592 KB |
Output is correct |
| 27 |
Correct |
48 ms |
760 KB |
Output is correct |
| 28 |
Correct |
46 ms |
592 KB |
Output is correct |
| 29 |
Correct |
46 ms |
592 KB |
Output is correct |
| 30 |
Correct |
51 ms |
592 KB |
Output is correct |
| 31 |
Correct |
54 ms |
592 KB |
Output is correct |
| 32 |
Correct |
48 ms |
760 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
53 ms |
592 KB |
Output is correct |
| 2 |
Correct |
43 ms |
592 KB |
Output is correct |
| 3 |
Correct |
53 ms |
592 KB |
Output is correct |
| 4 |
Correct |
47 ms |
608 KB |
Output is correct |
| 5 |
Correct |
45 ms |
592 KB |
Output is correct |
| 6 |
Correct |
51 ms |
592 KB |
Output is correct |
| 7 |
Correct |
45 ms |
592 KB |
Output is correct |
| 8 |
Correct |
44 ms |
592 KB |
Output is correct |
| 9 |
Correct |
53 ms |
592 KB |
Output is correct |
| 10 |
Correct |
44 ms |
592 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
336 KB |
Output is correct |
| 13 |
Correct |
1 ms |
336 KB |
Output is correct |
| 14 |
Correct |
1 ms |
336 KB |
Output is correct |
| 15 |
Correct |
1 ms |
336 KB |
Output is correct |
| 16 |
Correct |
1 ms |
336 KB |
Output is correct |
| 17 |
Correct |
1 ms |
336 KB |
Output is correct |
| 18 |
Correct |
1 ms |
336 KB |
Output is correct |
| 19 |
Correct |
1 ms |
504 KB |
Output is correct |
| 20 |
Correct |
1 ms |
336 KB |
Output is correct |
| 21 |
Correct |
44 ms |
592 KB |
Output is correct |
| 22 |
Correct |
44 ms |
592 KB |
Output is correct |
| 23 |
Correct |
44 ms |
592 KB |
Output is correct |
| 24 |
Correct |
43 ms |
592 KB |
Output is correct |
| 25 |
Correct |
44 ms |
592 KB |
Output is correct |
| 26 |
Correct |
45 ms |
592 KB |
Output is correct |
| 27 |
Correct |
48 ms |
760 KB |
Output is correct |
| 28 |
Correct |
46 ms |
592 KB |
Output is correct |
| 29 |
Correct |
46 ms |
592 KB |
Output is correct |
| 30 |
Correct |
51 ms |
592 KB |
Output is correct |
| 31 |
Correct |
54 ms |
592 KB |
Output is correct |
| 32 |
Correct |
48 ms |
760 KB |
Output is correct |
| 33 |
Execution timed out |
2051 ms |
35488 KB |
Time limit exceeded |
| 34 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
53 ms |
592 KB |
Output is correct |
| 2 |
Correct |
43 ms |
592 KB |
Output is correct |
| 3 |
Correct |
53 ms |
592 KB |
Output is correct |
| 4 |
Correct |
47 ms |
608 KB |
Output is correct |
| 5 |
Correct |
45 ms |
592 KB |
Output is correct |
| 6 |
Correct |
51 ms |
592 KB |
Output is correct |
| 7 |
Correct |
45 ms |
592 KB |
Output is correct |
| 8 |
Correct |
44 ms |
592 KB |
Output is correct |
| 9 |
Correct |
53 ms |
592 KB |
Output is correct |
| 10 |
Correct |
44 ms |
592 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
336 KB |
Output is correct |
| 13 |
Correct |
1 ms |
336 KB |
Output is correct |
| 14 |
Correct |
1 ms |
336 KB |
Output is correct |
| 15 |
Correct |
1 ms |
336 KB |
Output is correct |
| 16 |
Correct |
1 ms |
336 KB |
Output is correct |
| 17 |
Correct |
1 ms |
336 KB |
Output is correct |
| 18 |
Correct |
1 ms |
336 KB |
Output is correct |
| 19 |
Correct |
1 ms |
504 KB |
Output is correct |
| 20 |
Correct |
1 ms |
336 KB |
Output is correct |
| 21 |
Correct |
44 ms |
592 KB |
Output is correct |
| 22 |
Correct |
44 ms |
592 KB |
Output is correct |
| 23 |
Correct |
44 ms |
592 KB |
Output is correct |
| 24 |
Correct |
43 ms |
592 KB |
Output is correct |
| 25 |
Correct |
44 ms |
592 KB |
Output is correct |
| 26 |
Correct |
45 ms |
592 KB |
Output is correct |
| 27 |
Correct |
48 ms |
760 KB |
Output is correct |
| 28 |
Correct |
46 ms |
592 KB |
Output is correct |
| 29 |
Correct |
46 ms |
592 KB |
Output is correct |
| 30 |
Correct |
51 ms |
592 KB |
Output is correct |
| 31 |
Correct |
54 ms |
592 KB |
Output is correct |
| 32 |
Correct |
48 ms |
760 KB |
Output is correct |
| 33 |
Execution timed out |
2051 ms |
35488 KB |
Time limit exceeded |
| 34 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
45 ms |
592 KB |
Output is correct |
| 2 |
Correct |
53 ms |
592 KB |
Output is correct |
| 3 |
Correct |
44 ms |
592 KB |
Output is correct |
| 4 |
Correct |
43 ms |
592 KB |
Output is correct |
| 5 |
Correct |
50 ms |
592 KB |
Output is correct |
| 6 |
Correct |
51 ms |
592 KB |
Output is correct |
| 7 |
Correct |
41 ms |
760 KB |
Output is correct |
| 8 |
Correct |
47 ms |
848 KB |
Output is correct |
| 9 |
Correct |
42 ms |
592 KB |
Output is correct |
| 10 |
Correct |
41 ms |
592 KB |
Output is correct |
| 11 |
Correct |
1 ms |
336 KB |
Output is correct |
| 12 |
Correct |
1 ms |
336 KB |
Output is correct |
| 13 |
Correct |
1 ms |
336 KB |
Output is correct |
| 14 |
Correct |
1 ms |
336 KB |
Output is correct |
| 15 |
Correct |
1 ms |
336 KB |
Output is correct |
| 16 |
Correct |
53 ms |
592 KB |
Output is correct |
| 17 |
Correct |
43 ms |
592 KB |
Output is correct |
| 18 |
Correct |
53 ms |
592 KB |
Output is correct |
| 19 |
Correct |
47 ms |
608 KB |
Output is correct |
| 20 |
Correct |
45 ms |
592 KB |
Output is correct |
| 21 |
Correct |
51 ms |
592 KB |
Output is correct |
| 22 |
Correct |
45 ms |
592 KB |
Output is correct |
| 23 |
Correct |
44 ms |
592 KB |
Output is correct |
| 24 |
Correct |
53 ms |
592 KB |
Output is correct |
| 25 |
Correct |
44 ms |
592 KB |
Output is correct |
| 26 |
Correct |
1 ms |
336 KB |
Output is correct |
| 27 |
Correct |
1 ms |
336 KB |
Output is correct |
| 28 |
Correct |
1 ms |
336 KB |
Output is correct |
| 29 |
Correct |
1 ms |
336 KB |
Output is correct |
| 30 |
Correct |
1 ms |
336 KB |
Output is correct |
| 31 |
Correct |
1 ms |
336 KB |
Output is correct |
| 32 |
Correct |
1 ms |
336 KB |
Output is correct |
| 33 |
Correct |
1 ms |
336 KB |
Output is correct |
| 34 |
Correct |
1 ms |
504 KB |
Output is correct |
| 35 |
Correct |
1 ms |
336 KB |
Output is correct |
| 36 |
Correct |
44 ms |
592 KB |
Output is correct |
| 37 |
Correct |
44 ms |
592 KB |
Output is correct |
| 38 |
Correct |
44 ms |
592 KB |
Output is correct |
| 39 |
Correct |
43 ms |
592 KB |
Output is correct |
| 40 |
Correct |
44 ms |
592 KB |
Output is correct |
| 41 |
Correct |
45 ms |
592 KB |
Output is correct |
| 42 |
Correct |
48 ms |
760 KB |
Output is correct |
| 43 |
Correct |
46 ms |
592 KB |
Output is correct |
| 44 |
Correct |
46 ms |
592 KB |
Output is correct |
| 45 |
Correct |
51 ms |
592 KB |
Output is correct |
| 46 |
Correct |
54 ms |
592 KB |
Output is correct |
| 47 |
Correct |
48 ms |
760 KB |
Output is correct |
| 48 |
Execution timed out |
2051 ms |
35488 KB |
Time limit exceeded |
| 49 |
Halted |
0 ms |
0 KB |
- |
