This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/* -> Written by <-
   -----------
  K_A_Z_A_M_A
  ___________
      _    |
  |   (^_^)   |
  |  /( | )\  |
  |____|_|____|
    H O A N G
*/
#include <bits/stdc++.h>
#define Task            "bulldozer"
#define F               first
#define S               second
#define pb              push_back
#define bit(x, i)       ((x >> (i)) & 1)
#define inf             1e9 + 7
#define INF             1e18 + 7
#define ll              long long
#define pii             pair <int, int>
#define debug(x)        cerr << #x << " is " << x << "\n";
using namespace std;
const int MOD = 1e9 + 7;
const int maxn = 1e5 + 5;
int n;
pair <pii, int> a[maxn];
struct LINE{
    ll A, B, C;
};
pii Vt(pair<pii, int> p, pair<pii, int> q){
    return {q.F.F - p.F.F, q.F.S - p.F.S};
}
LINE Make_Line(pair<pii, int> p, pair<pii, int> q){
    pii u = Vt(p, q);
    LINE c;
    c.A = u.S;
    c.B = - u.F;
    c.C = 1ll * p.F.S * u.F - 1ll * p.F.F * u.S;
    return c;
}
ll dis(pair<pii, int> p, LINE c){
    return abs(c.A * p.F.F + c.B * p.F.S + c.C);
}
pair <ll, int> b[maxn], v[maxn];
ll Cal(pair<ll, int> t[], int cnt){
    sort(t + 1, t + 1 + cnt);
    ll s = 0;
    ll res = 0;
    for (int i = 1; i <= cnt; ++ i){
        s += a[t[i].S].S;
        res = max(res, s);
    }
    return res;
}
void Solve(){
    cin >> n;
    for (int i = 1; i <= n; ++ i){
        cin >> a[i].F.F >> a[i].F.S >> a[i].S;
    }
    ll res = 0;
    for (int i = 1; i <= n; ++ i){
        res = max(res, (ll)a[i].S);
        for (int j = i + 1; j <= n; ++ j){
            int cnt = 0, dem = 0;
            LINE c = Make_Line(a[i], a[j]);
            for (int h = 1; h <= n; ++ h){
                if (h != i && h != j){
                    ll sd = c.A * a[h].F.F + c.B * a[h].F.S + c.C;
                    if (sd > 0) b[++cnt] = {dis(a[h], c), h};
                    else v[++dem] = {dis(a[h], c), h};
                }
            }
            res = max(res, Cal(b, cnt));
            res = max(res, Cal(v, dem));
        }
    }
    cout << res;
}
int main(){
    ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
    if(fopen(Task".inp", "r")){
        freopen(Task".inp","r",stdin);
        freopen(Task".out","w",stdout);
    }
    int test_case = 1;
//     cin >> test_case;
    while (test_case --){
        Solve();
    }
    return 0;
}
Compilation message (stderr)
bulldozer.cpp: In function 'int main()':
bulldozer.cpp:96:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   96 |         freopen(Task".inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
bulldozer.cpp:97:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   97 |         freopen(Task".out","w",stdout);
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