#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define vt vector
#define size(x) (int((x).size()))
#define all(x) begin(x), end(x)
#define REP(a,b,c,d) for(int a=(b);(d)>0?a<=(c):a>=(c);a+=(d))
#define FOR(a,b,c) REP(a,b,c,1)
#define ROF(a,b,c) REP(a,b,c,-1)
constexpr int mxN = 2005;
int N, X[mxN], Y[mxN], W[mxN];
struct Event {
int y, x, i, j;
Event(int _y, int _x, int _i, int _j) : y(_y), x(_x), i(_i), j(_j) {
if (x < 0)
y = -y, x = -x;
}
};
struct Node {
ll ans, lft, rht, sum;
Node operator+(const Node &other) {
return {
max({ans, other.ans, rht + other.lft}),
max(lft, sum + other.lft),
max(other.rht, other.sum + rht),
sum + other.sum
};
}
};
struct ST {
Node st[mxN<<1];
void update(int i, int v) {
st[i+=N] = {max(v, 0), max(v, 0), max(v, 0), v};
for (i >>= 1; i > 0; i >>= 1)
st[i] = st[i<<1] + st[i<<1|1];
}
Node query(int l, int r) {
Node lft = {0, 0, 0, 0};
Node rht = {0, 0, 0, 0};
for (l += N, r += N+1; l < r; l >>= 1, r >>= 1) {
if (l & 1)
lft = lft + st[l++];
if (r & 1)
rht = st[--r] + rht;
}
return lft + rht;
}
} st;
signed main() {
#ifndef DEBUG
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
#endif
cin >> N;
vt<Event> sweep;
FOR(i, 0, N-1) {
cin >> X[i] >> Y[i] >> W[i];
FOR(j, 0, i-1)
sweep.push_back(Event(Y[i] - Y[j], X[i] - X[j], j, i));
}
sort(all(sweep), [&](const Event &a, const Event &b) {
return 1ll * a.y * b.x < 1ll * b.y * a.x;
});
vt<int> ord(N);
iota(all(ord), 0);
sort(all(ord), [&](const int &a, const int &b) {
return Y[a] - ll(1e9) * X[a] < Y[b] - ll(1e9) * X[b];
});
vt<int> pos(N);
FOR(ii, 0, N-1) {
const int i = ord[ii];
#ifdef DEBUG
cout << i+1 << "\n "[ii+1<N];
#endif
pos[i] = ii;
st.update(ii, W[i]);
}
ll ans = st.query(0, N-1).ans;
#ifdef DEBUG
cout << ans << ':';
sort(all(ord), [&](const int &a, const int &b) {
return pos[a] < pos[b];
});
for (int l : ord)
cout << ' ' << l+1;
cout << '\n';
#endif
FOR(k, 0, size(sweep)-1) {
auto [y, x, i, j] = sweep[k];
st.update(pos[i], W[j]);
st.update(pos[j], W[i]);
swap(pos[i], pos[j]);
if (k == size(sweep)-1 || 1ll * y * sweep[k+1].x != 1ll * sweep[k+1].y * x)
ans = max(ans, st.query(0, N-1).ans);
#ifdef DEBUG
cout << ans << ": (" << y << ' ' << x << ')';
sort(all(ord), [&](const int &a, const int &b) {
return pos[a] < pos[b];
});
for (int l : ord)
cout << ' ' << l+1;
cout << '\n';
#endif
}
cout << ans << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
452 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Incorrect |
1 ms |
684 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
600 KB |
Output is correct |
2 |
Correct |
2 ms |
600 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 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 |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 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 |
1 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
2 ms |
644 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
600 KB |
Output is correct |
28 |
Correct |
2 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
2 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
600 KB |
Output is correct |
2 |
Correct |
2 ms |
600 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 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 |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 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 |
1 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
2 ms |
644 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
600 KB |
Output is correct |
28 |
Correct |
2 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
2 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
604 KB |
Output is correct |
33 |
Correct |
624 ms |
33480 KB |
Output is correct |
34 |
Correct |
580 ms |
33480 KB |
Output is correct |
35 |
Correct |
574 ms |
33476 KB |
Output is correct |
36 |
Correct |
566 ms |
33476 KB |
Output is correct |
37 |
Correct |
581 ms |
33476 KB |
Output is correct |
38 |
Correct |
571 ms |
33468 KB |
Output is correct |
39 |
Correct |
569 ms |
33480 KB |
Output is correct |
40 |
Correct |
558 ms |
33468 KB |
Output is correct |
41 |
Correct |
584 ms |
33476 KB |
Output is correct |
42 |
Correct |
573 ms |
33480 KB |
Output is correct |
43 |
Correct |
618 ms |
33480 KB |
Output is correct |
44 |
Correct |
552 ms |
33464 KB |
Output is correct |
45 |
Correct |
558 ms |
33468 KB |
Output is correct |
46 |
Correct |
588 ms |
33468 KB |
Output is correct |
47 |
Correct |
589 ms |
33468 KB |
Output is correct |
48 |
Correct |
568 ms |
33528 KB |
Output is correct |
49 |
Correct |
558 ms |
33476 KB |
Output is correct |
50 |
Correct |
572 ms |
33468 KB |
Output is correct |
51 |
Correct |
567 ms |
33480 KB |
Output is correct |
52 |
Correct |
582 ms |
33468 KB |
Output is correct |
53 |
Correct |
572 ms |
33428 KB |
Output is correct |
54 |
Correct |
547 ms |
33468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
600 KB |
Output is correct |
2 |
Correct |
2 ms |
600 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 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 |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 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 |
1 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
2 ms |
644 KB |
Output is correct |
26 |
Correct |
1 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
600 KB |
Output is correct |
28 |
Correct |
2 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
604 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
31 |
Correct |
2 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
604 KB |
Output is correct |
33 |
Correct |
624 ms |
33480 KB |
Output is correct |
34 |
Correct |
580 ms |
33480 KB |
Output is correct |
35 |
Correct |
574 ms |
33476 KB |
Output is correct |
36 |
Correct |
566 ms |
33476 KB |
Output is correct |
37 |
Correct |
581 ms |
33476 KB |
Output is correct |
38 |
Correct |
571 ms |
33468 KB |
Output is correct |
39 |
Correct |
569 ms |
33480 KB |
Output is correct |
40 |
Correct |
558 ms |
33468 KB |
Output is correct |
41 |
Correct |
584 ms |
33476 KB |
Output is correct |
42 |
Correct |
573 ms |
33480 KB |
Output is correct |
43 |
Correct |
618 ms |
33480 KB |
Output is correct |
44 |
Correct |
552 ms |
33464 KB |
Output is correct |
45 |
Correct |
558 ms |
33468 KB |
Output is correct |
46 |
Correct |
588 ms |
33468 KB |
Output is correct |
47 |
Correct |
589 ms |
33468 KB |
Output is correct |
48 |
Correct |
568 ms |
33528 KB |
Output is correct |
49 |
Correct |
558 ms |
33476 KB |
Output is correct |
50 |
Correct |
572 ms |
33468 KB |
Output is correct |
51 |
Correct |
567 ms |
33480 KB |
Output is correct |
52 |
Correct |
582 ms |
33468 KB |
Output is correct |
53 |
Correct |
572 ms |
33428 KB |
Output is correct |
54 |
Correct |
547 ms |
33468 KB |
Output is correct |
55 |
Correct |
563 ms |
33476 KB |
Output is correct |
56 |
Correct |
571 ms |
33460 KB |
Output is correct |
57 |
Correct |
604 ms |
33476 KB |
Output is correct |
58 |
Correct |
575 ms |
33476 KB |
Output is correct |
59 |
Correct |
578 ms |
33480 KB |
Output is correct |
60 |
Correct |
608 ms |
33468 KB |
Output is correct |
61 |
Correct |
577 ms |
33456 KB |
Output is correct |
62 |
Correct |
604 ms |
33348 KB |
Output is correct |
63 |
Correct |
565 ms |
33476 KB |
Output is correct |
64 |
Correct |
587 ms |
33480 KB |
Output is correct |
65 |
Incorrect |
566 ms |
33476 KB |
Output isn't correct |
66 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
452 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Incorrect |
1 ms |
684 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |