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 For(i , l , r) for(int i = (l); i <= (r); i++)
# define Rep(i , n) For(i , 0 , (n) - 1)
# define size(x) (long long)x.size()
# define MAXN 2000005
# define MAXK 1000005
# define all(x) x.begin(),x.end()
typedef long long ll;
typedef long double ld;
const ll inf = 1e9 + 7;
const ll mod = 1e9 + 9;
const ld eps = 0.000000001;
ll n , m , k , ans = 0 , q;
struct pt {
ll x , y , val;
bool operator == (const pt& p) {
return (p.x == x && p.y == y);
}
};
struct vc {
ll x , y;
ll nom1 , nom2;
};
ll cross_pr(const vc &a , const vc& b) {
// cout << a.x << ' ' << a.y << ' ' << b.x << ' ' << b.y << "\n";
return a.x * b.y - b.x * a.y;
}
struct node {
ll sum , wyn , mxp , mxs;
};
vector<node>t;
ll sz = 1;
void init(ll n) {
while (sz < n) sz *= 2;
t.resize(sz * 3 + 5);
}
node calc(node &left , node &right) {
node cur = {0 , 0 , 0 , 0};
cur.sum = left.sum + right.sum;
cur.mxp = max(left.mxp , left.sum + right.mxp);
cur.mxs = max(right.mxs , right.sum + left.mxs);
cur.wyn = max({left.wyn , right.wyn , left.mxs + right.mxp});
return cur;
}
void upd(ll nom , ll val , ll x , ll lx , ll rx) {
if (rx - lx == 1) {
t[x].sum = val;
t[x].mxp = t[x].mxs = t[x].wyn = max(0LL , val);
return;
}
ll mid = (lx + rx) / 2;
if (nom < mid) upd(nom , val , (x << 1) , lx , mid);
else upd(nom , val , (x << 1) + 1 , mid , rx);
t[x] = calc(t[x << 1] , t[(x << 1) + 1]);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
vector<pt>p(n);
for (auto &[x , y , val] : p) cin >> x >> y >> val;
sort(p.begin() , p.end() ,
[](const auto& l , const auto& r) {
if (l.x == r.x) return l.y > r.y;
return l.x < r.x;
});
vector<vc>line;
Rep (i , n) {
For (j , i + 1 , n - 1) {
line.push_back({p[i].x - p[j].x , p[i].y - p[j].y , i , j});
if (size(line) > 0 && line.back().x == 0) line.pop_back();
if (size(line) > 0 && line.back().x < 0) line.back().x *= -1 , line.back().y *= -1;
}
}
sort(all(line) ,
[&](const vc& l , const vc& r) {
// cout << 0 << endl;
ll f = cross_pr(l , r);
if (f == 0) {
// cout << 1 << endl;
if (p[l.nom1] == p[r.nom1]) return p[l.nom2].x < p[r.nom2].x;
else return p[l.nom1].x < p[r.nom1].x;
}
return f < 0;
});
init(n);
Rep (i , n) {
upd(i , p[i].val , 1 , 0 , sz);
}
vector<ll>pos(n);
Rep (i , n) pos[i] = i;
ans = t[1].wyn;
if (size(line) == 0) {
cout << ans;
return 0;
}
ld prev_tg = (ld)line[0].y / (ld)line[0].x;
Rep (i , size(line)) {
ll x = line[i].x , y = line[i].y , nom1 = line[i].nom1 , nom2 = line[i].nom2;
if ((ld)y / (ld)x != prev_tg) {
ll cur_res = t[1].wyn;
ans = max(ans , cur_res);
prev_tg = (ld)y / (ld)x;
}
swap(pos[nom1] , pos[nom2]);
ll pos1 = pos[nom1] , pos2 = pos[nom2];
upd(pos1 , p[nom1].val , 1 , 0 , sz);
upd(pos2 , p[nom2].val , 1 , 0 , sz);
}
ans = max(ans , t[1].wyn);
cout << ans;
}
/*
*/
Compilation message (stderr)
bulldozer.cpp: In function 'int main()':
bulldozer.cpp:62:16: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
62 | for (auto &[x , y , val] : p) cin >> x >> y >> val;
| ^
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