Submission #1084578

# Submission time Handle Problem Language Result Execution time Memory
1084578 2024-09-06T12:14:58 Z rxlfd314 Bulldozer (JOI17_bulldozer) C++17
55 / 100
624 ms 33528 KB
#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';
}
# Verdict Execution time Memory 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 -
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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 -
# Verdict Execution time Memory 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 -