This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define float double
#define int long long
const float PI = 3.14159265358979323846;
const float EPSILON = 0.0000001;
#define vec vector
struct Point {
int x;
int y;
int w;
int i;
};
float angle(Point p1, Point p2) {
Point dif = {p2.x-p1.x, p2.y-p1.y};
return atan2(dif.y, dif.x);
}
float norm_angle(float angle) {
while(angle >= 2*PI) angle -= 2*PI;
return angle;
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vec<Point> ps(n);
for(int i = 0; i<n; i++) {
cin >> ps[i].x >> ps[i].y >> ps[i].w;
}
sort(ps.begin(), ps.end(), [&](auto p1, auto p2) { return p1.x == p2.x ? p1.y < p2.y : p1.x < p2.x; });
for(int i = 0; i<n; i++) ps[i].i = i;
vec<pair<float, pair<int, int>>> evs(0);
for(int i = 0; i<n; i++) {
for(int j = i+1; j<n; j++) {
float cur_angle = angle(ps[i], ps[j]);
//cerr << "ANGLE: " << cur_angle << '\n';
float t1 = ((float)3)/2 * PI;
float t2 = ((float)1)/2 * PI;
float dif1 = (t1 + 2*PI) - cur_angle;
float dif2 = (t2 + 2*PI) - cur_angle;
dif1 = norm_angle(dif1);
dif2 = norm_angle(dif2);
// cerr << dif1 << ' ' << dif2 << '\n';
evs.push_back({dif1, {i, j}});
evs.push_back({dif2, {i, j}});
}
}
sort(evs.begin(), evs.end());
vec<int> ap(n);
iota(ap.begin(), ap.end(), 0);
int ans = 0;
auto eval = [&]() {
int sum = 0;
int mx = 0;
for(int i = 0; i<n; i++) {
sum += ps[ap[i]].w;
if(sum < 0) sum = 0;
mx = max(sum, mx);
}
//cerr << mx << '\n';
ans = max(mx, ans);
};
eval();
for(auto ev: evs) {
int i = ev.second.first;
int j = ev.second.second;
int temp = ps[i].i;
ps[i].i = ps[j].i;
ps[j].i = temp;
//cerr << "swapping: " << i << ' ' << j << " at angle: " << ev.first << '\n';
swap(ap[ps[i].i], ap[ps[j].i]);
eval();
}
//eval();
cout << ans << '\n';
}
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