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 FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
struct Node {
ll l, r, tot, best;
Node operator+(Node B) {
return {max(l, tot + B.l), max(B.r, r + B.tot), tot + B.tot, max(max(best, B.best), r + B.l)};
}
} segtree[8001];
struct Point {
ll x, y, v;
bool operator<(Point B) {
if (x == B.x) return y < B.y;
return x < B.x;
}
} points[2001];
struct Line {
ll dx, dy;
int u, v;
bool operator<(Line B) {
if (dy * B.dx == B.dy * dx) return tie(u, v) < tie(B.u, B.v);
return dy * B.dx < B.dy * dx;
}
} swaps[2000001];
int n, curr[2001];
void build(int node = 1, int l = 1, int r = n) {
if (l == r) {
ll v = max(points[l].v, 0ll);
segtree[node] = {v, v, points[l].v, v};
} else {
int mid = (l + r) / 2;
build(node * 2, l, mid);
build(node * 2 + 1, mid + 1, r);
segtree[node] = segtree[node * 2] + segtree[node * 2 + 1];
}
}
void update(int pos, ll val, int node = 1, int l = 1, int r = n) {
if (l == r) segtree[node] = {max(val, 0ll), max(val, 0ll), val, max(val, 0ll)};
else {
int mid = (l + r) / 2;
if (pos > mid) update(pos, val, node * 2 + 1, mid + 1, r);
else update(pos, val, node * 2, l, mid);
segtree[node] = segtree[node * 2] + segtree[node * 2 + 1];
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
FOR(i, 1, n + 1) {
cin >> points[i].x >> points[i].y >> points[i].v;
curr[i] = i;
}
sort(points + 1, points + n + 1);
int cnt = 0;
FOR(i, 1, n + 1) FOR(j, i + 1, n + 1)
swaps[cnt++] = {points[j].x - points[i].x, points[j].y - points[i].y, i, j};
sort(swaps, swaps + cnt);
build();
ll ans = segtree[1].best;
FOR(i, 0, cnt) {
update(curr[swaps[i].u], points[swaps[i].v].v);
update(curr[swaps[i].v], points[swaps[i].u].v);
swap(curr[swaps[i].u], curr[swaps[i].v]);
if (i == cnt - 1) ans = max(ans, segtree[1].best);
else if (swaps[i].dy * swaps[i + 1].dx != swaps[i + 1].dy * swaps[i].dx) ans = max(ans, segtree[1].best);
}
cout << ans;
return 0;
}
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