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 ar array
#define int long long
long double const eps = 1e-18;
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int n; cin>>n;
vector<ar<int, 3>> a(n);
for(int i=0;i<n;i++){
cin>>a[i][0]>>a[i][1]>>a[i][2];
} sort(a.begin(), a.end());
vector<pair<long double, pair<int, int>>> tt;
for(int i=0;i<n;i++){
for(int j=i+1;j<n;j++){
if(a[i][0] == a[j][0]) continue;
double slop = (a[j][1] - a[i][1]) * 1. / (a[i][0] - a[j][0]);
tt.push_back({slop, {i, j}});
}
}
vector<long double> b(n);
vector<int> p(n); iota(p.begin(), p.end(), 0);
for(int i=0;i<n;i++){
b[i] = a[i][1] * 1. - (a[i][0] * -2e9);
}
sort(p.begin(), p.end(), [&](int i, int j){
return (eps < b[j] - b[i]);
});
vector<int> pos(n);
for(int i=0;i<n;i++) pos[p[i]] = i;
int res = 0;
sort(tt.begin(), tt.end());
auto check = [&](){
int pref = 0, mn = 0;
for(int i=0;i<n;i++){
pref += a[p[i]][2];
res = max(res, pref - mn);
mn = min(mn, pref);
}
};
check();
for(auto s : tt){
auto [i, j] = s.second;
assert(abs(pos[i] - pos[j]) == 1);
swap(p[pos[i]], p[pos[j]]);
swap(pos[i], pos[j]);
check();
}
cout<<res<<"\n";
}
Compilation message (stderr)
bulldozer.cpp: In function 'int main()':
bulldozer.cpp:52:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
52 | auto [i, j] = s.second;
| ^
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