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>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
// 217
// 44
using namespace std;
const ll INF = 1e18;
struct SegTree {
struct Node {
ll pref, suff;
ll best, sum;
};
vector <Node> aint;
int n;
inline void init(int _n) {
n = _n;
aint.resize(4 * n + 1, {-INF, -INF, -INF, -INF});
}
inline void refresh(int nod) {
aint[nod].sum = aint[2 * nod].sum + aint[2 * nod + 1].sum;
aint[nod].pref = max(aint[2 * nod].pref, aint[2 * nod].sum + aint[2 * nod + 1].pref);
aint[nod].suff = max(aint[2 * nod + 1].suff, aint[2 * nod + 1].sum + aint[2 * nod].suff);
aint[nod].best = max(max(aint[2 * nod].best, aint[2 * nod + 1].best), aint[2 * nod].suff + aint[2 * nod + 1].pref);
}
void update(int nod, int left, int right, int pos, int val) {
if(left == right) {
aint[nod] = {val, val, val, val};
}
else {
int mid = (left + right) / 2;
if(pos <= mid) update(2 * nod, left, mid, pos, val);
else update(2 * nod + 1, mid + 1, right, pos, val);
refresh(nod);
}
}
};
struct Point {
int x, y;
int val;
bool operator <(const Point &other) const {
if(x == other.x)
return y < other.y;
return x < other.x;
}
};
struct Slope {
double s;
int a, b;
bool operator <(const Slope &other) const {
return other.s - s > 0.0;
}
};
inline double get(Point &a, Point &b) {
if(a.x == b.x)
return 1.0 * INF;
return 1.0 * (b.y - a.y) / (b.x - a.x);
}
int main() {
//ifstream cin("A.in");
//ofstream cout("A.out");
int i, j, n;
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin >> n;
vector <Point> pts(n + 1);
for(i = 1; i <= n; i++) {
cin >> pts[i].x >> pts[i].y >> pts[i].val;
}
sort(next(pts.begin()), pts.end());
vector <Slope> slp;
for(i = 1; i <= n; i++) {
for(j = i + 1; j <= n; j++) {
slp.push_back({get(pts[i], pts[j]), i, j});
}
}
sort(slp.begin(), slp.end());
SegTree st; st.init(n);
vector <int> pos(n + 1);
for(i = 1; i <= n; i++) {
st.update(1, 1, n, i, pts[i].val);
pos[i] = i;
}
ll ans = max(0LL, st.aint[1].best);
for(auto it : slp) {
int a = it.a, b = it.b;
if(abs(pos[a] - pos[b]) > 1) {
while(1) {
}
}
st.update(1, 1, n, pos[a], pts[b].val);
st.update(1, 1, n, pos[b], pts[a].val);
swap(pos[a], pos[b]);
ans = max(ans, st.aint[1].best);
}
cout << ans;
//cin.close();
//cout.close();
return 0;
}
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