#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
typedef long long ll;
struct Point
{
ll x, y;
Point(ll _x = 0, ll _y = 0)
{
x = _x;
y = _y;
}
void input()
{
cin >> x >> y;
}
};
const int MAXN = 2010;
int n;
pair < Point, ll > spot[MAXN];
void input()
{
cin >> n;
for (int i = 1; i <= n; i ++)
{
spot[i].first.input();
cin >> spot[i].second;
}
}
ll signed_area(Point A, Point B, Point C) /// returns signed area * 2
{
ll area = (B.x - A.x) * (A.y + B.y) +
(C.x - B.x) * (B.y + C.y) +
(A.x - C.x) * (C.y + A.y);
return area;
}
int orient(Point A, Point B, Point C)
{
ll area = signed_area(A, B, C);
if (area > 0)
return 1;
if (area < 0)
return -1;
assert(area != 0);
return 0;
}
bool cmp(pair < Point, ll > p1, pair < Point, ll > p2)
{
return p1.first.x < p2.first.x;
}
void simulate()
{
bool all_x = true;
for (int i = 1; i <= n; i ++)
if (spot[i].first.y != 0)
all_x = false;
ll result = 0;
if (all_x)
{
sort(spot + 1, spot + n + 1, cmp);
for (int i = 1; i <= n; i ++)
{
ll sum = 0;
for (int j = i; j <= n; j ++)
{
sum += spot[j].second;
result = max(result, sum);
}
}
cout << result << endl;
return;
}
if (n == 1)
{
result = max(result, spot[1].second);
}
if (n == 2)
{
result = max(result, spot[1].second);
result = max(result, spot[2].second);
result = max(result, spot[1].second + spot[2].second);
}
for (int i = 1; i <= n; i ++)
for (int j = i + 1; j <= n; j ++)
{
vector < pair < ll, ll > > pos, neg;
for (int k = 1; k <= n; k ++)
{
if (k == i || k == j)
continue;
ll area = signed_area(spot[i].first,
spot[j].first,
spot[k].first);
/**if (i == 3 && j == 4)
{
cout << "pair with " << k << " area " << area << " value " << spot[k].second << endl;
}*/
assert(area != 0);
if (area > 0)
pos.push_back({area, spot[k].second});
else
neg.push_back({-area, spot[k].second});
}
sort(pos.begin(), pos.end());
sort(neg.begin(), neg.end());
ll best = 0, sum = 0;
ll ls = -1;
for (pair < ll, ll > cur : pos)
{
sum += cur.second;
assert(cur.first != ls);
ls = cur.first;
best = max(best, sum);
}
ls = -1;
sum = 0;
for (pair < ll, ll > cur : neg)
{
sum += cur.second;
assert(cur.first != ls);
ls = cur.first;
best = max(best, sum);
}
//cout << "HERE " << best << endl;
best = best + spot[i].second;
best = best + spot[j].second;
//cout << "new best " << best << endl;
//ll mx = min(spot[i].second, spot[j].second);
//cout << "mx " << mx << endl;
if (spot[i].second < 0)
best -= spot[i].second;
if (spot[j].second < 0)
best -= spot[j].second;
//cout << "pair " << i << " " << j << " " << best << endl;
result = max(result, best);
}
cout << result << endl;
}
void solve()
{
input();
simulate();
}
int main()
{
solve();
return 0;
}
/*
3
0 0 1
1 0 1
2 0 1
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
480 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
348 KB |
Output is correct |
2 |
Correct |
17 ms |
496 KB |
Output is correct |
3 |
Correct |
18 ms |
348 KB |
Output is correct |
4 |
Correct |
18 ms |
496 KB |
Output is correct |
5 |
Correct |
18 ms |
344 KB |
Output is correct |
6 |
Correct |
18 ms |
348 KB |
Output is correct |
7 |
Correct |
18 ms |
348 KB |
Output is correct |
8 |
Correct |
19 ms |
348 KB |
Output is correct |
9 |
Correct |
18 ms |
344 KB |
Output is correct |
10 |
Correct |
18 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
17 ms |
348 KB |
Output is correct |
22 |
Correct |
17 ms |
344 KB |
Output is correct |
23 |
Correct |
17 ms |
348 KB |
Output is correct |
24 |
Correct |
16 ms |
496 KB |
Output is correct |
25 |
Correct |
17 ms |
348 KB |
Output is correct |
26 |
Correct |
17 ms |
348 KB |
Output is correct |
27 |
Correct |
20 ms |
604 KB |
Output is correct |
28 |
Correct |
17 ms |
348 KB |
Output is correct |
29 |
Correct |
18 ms |
488 KB |
Output is correct |
30 |
Correct |
17 ms |
348 KB |
Output is correct |
31 |
Correct |
17 ms |
348 KB |
Output is correct |
32 |
Correct |
17 ms |
496 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
348 KB |
Output is correct |
2 |
Correct |
17 ms |
496 KB |
Output is correct |
3 |
Correct |
18 ms |
348 KB |
Output is correct |
4 |
Correct |
18 ms |
496 KB |
Output is correct |
5 |
Correct |
18 ms |
344 KB |
Output is correct |
6 |
Correct |
18 ms |
348 KB |
Output is correct |
7 |
Correct |
18 ms |
348 KB |
Output is correct |
8 |
Correct |
19 ms |
348 KB |
Output is correct |
9 |
Correct |
18 ms |
344 KB |
Output is correct |
10 |
Correct |
18 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
17 ms |
348 KB |
Output is correct |
22 |
Correct |
17 ms |
344 KB |
Output is correct |
23 |
Correct |
17 ms |
348 KB |
Output is correct |
24 |
Correct |
16 ms |
496 KB |
Output is correct |
25 |
Correct |
17 ms |
348 KB |
Output is correct |
26 |
Correct |
17 ms |
348 KB |
Output is correct |
27 |
Correct |
20 ms |
604 KB |
Output is correct |
28 |
Correct |
17 ms |
348 KB |
Output is correct |
29 |
Correct |
18 ms |
488 KB |
Output is correct |
30 |
Correct |
17 ms |
348 KB |
Output is correct |
31 |
Correct |
17 ms |
348 KB |
Output is correct |
32 |
Correct |
17 ms |
496 KB |
Output is correct |
33 |
Execution timed out |
2053 ms |
604 KB |
Time limit exceeded |
34 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
348 KB |
Output is correct |
2 |
Correct |
17 ms |
496 KB |
Output is correct |
3 |
Correct |
18 ms |
348 KB |
Output is correct |
4 |
Correct |
18 ms |
496 KB |
Output is correct |
5 |
Correct |
18 ms |
344 KB |
Output is correct |
6 |
Correct |
18 ms |
348 KB |
Output is correct |
7 |
Correct |
18 ms |
348 KB |
Output is correct |
8 |
Correct |
19 ms |
348 KB |
Output is correct |
9 |
Correct |
18 ms |
344 KB |
Output is correct |
10 |
Correct |
18 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
17 ms |
348 KB |
Output is correct |
22 |
Correct |
17 ms |
344 KB |
Output is correct |
23 |
Correct |
17 ms |
348 KB |
Output is correct |
24 |
Correct |
16 ms |
496 KB |
Output is correct |
25 |
Correct |
17 ms |
348 KB |
Output is correct |
26 |
Correct |
17 ms |
348 KB |
Output is correct |
27 |
Correct |
20 ms |
604 KB |
Output is correct |
28 |
Correct |
17 ms |
348 KB |
Output is correct |
29 |
Correct |
18 ms |
488 KB |
Output is correct |
30 |
Correct |
17 ms |
348 KB |
Output is correct |
31 |
Correct |
17 ms |
348 KB |
Output is correct |
32 |
Correct |
17 ms |
496 KB |
Output is correct |
33 |
Execution timed out |
2053 ms |
604 KB |
Time limit exceeded |
34 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
480 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
18 ms |
348 KB |
Output is correct |
17 |
Correct |
17 ms |
496 KB |
Output is correct |
18 |
Correct |
18 ms |
348 KB |
Output is correct |
19 |
Correct |
18 ms |
496 KB |
Output is correct |
20 |
Correct |
18 ms |
344 KB |
Output is correct |
21 |
Correct |
18 ms |
348 KB |
Output is correct |
22 |
Correct |
18 ms |
348 KB |
Output is correct |
23 |
Correct |
19 ms |
348 KB |
Output is correct |
24 |
Correct |
18 ms |
344 KB |
Output is correct |
25 |
Correct |
18 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
17 ms |
348 KB |
Output is correct |
37 |
Correct |
17 ms |
344 KB |
Output is correct |
38 |
Correct |
17 ms |
348 KB |
Output is correct |
39 |
Correct |
16 ms |
496 KB |
Output is correct |
40 |
Correct |
17 ms |
348 KB |
Output is correct |
41 |
Correct |
17 ms |
348 KB |
Output is correct |
42 |
Correct |
20 ms |
604 KB |
Output is correct |
43 |
Correct |
17 ms |
348 KB |
Output is correct |
44 |
Correct |
18 ms |
488 KB |
Output is correct |
45 |
Correct |
17 ms |
348 KB |
Output is correct |
46 |
Correct |
17 ms |
348 KB |
Output is correct |
47 |
Correct |
17 ms |
496 KB |
Output is correct |
48 |
Execution timed out |
2053 ms |
604 KB |
Time limit exceeded |
49 |
Halted |
0 ms |
0 KB |
- |