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Submission #992379

# Submission time Handle Problem Language Result Execution time Memory
992379 2024-06-04T11:06:24 Z tch1cherin Chessboard (IZhO18_chessboard) C++17
47 / 100
 2000 ms 13204 KB 
#include <bits/stdc++.h>
using namespace std;

const int INF = 1e9;

struct segment_tree {
  int size;
  vector<array<int, 2>> tree;
  vector<int> push;

  array<int, 2> merge(array<int, 2> a, array<int, 2> b) {
    return a[0] < b[0] ? a : (a[0] > b[0] ? b : array<int, 2> {a[0], a[1] + b[1]});
  }

  void apply(int x, int value) {
    tree[x][0] += value;
    push[x] += value;
  }

  void propagate(int x) {
    if (push[x] != 0) {
      apply(x * 2, push[x]);
      apply(x * 2 + 1, push[x]);
      push[x] = 0;
    }
  }

  segment_tree(int n) : size(2 << __lg(n)), tree(2 * size, {INF, 0}), push(2 * size) {
    fill(tree.begin() + size, tree.begin() + size + n, array<int, 2> {0, 1});
    for (int i = size - 1; i > 0; i--) {
      tree[i] = merge(tree[i * 2], tree[i * 2 + 1]);
    }
  }
  
  void update(int l, int r, int value) {
    if (l < r) {
      update(l, r, value, 1, 0, size);
    }
  }

  void update(int l, int r, int value, int x, int lx, int rx) {
    if (lx >= r || rx <= l) {
      return;
    } else if (lx >= l && rx <= r) {
      apply(x, value);
    } else {
      propagate(x);
      int mid = (lx + rx) / 2;
      update(l, r, value, x * 2, lx, mid);
      update(l, r, value, x * 2 + 1, mid, rx);
      tree[x] = merge(tree[x * 2], tree[x * 2 + 1]);
    }
  }

  int query() {
    return (tree[1][0] > 0 ? 0 : tree[1][1]);
  }
};

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int N, K;
  cin >> N >> K;
  vector<vector<array<int, 3>>> rect(N + 1);
  for (int i = 0; i < K; i++) {
    int x1, y1, x2, y2;
    cin >> x1 >> y1 >> x2 >> y2;
    x1--, y1--, y2--;
    rect[x1].push_back({y1, y2, 1});
    rect[x2].push_back({y1, y2, -1});
  }
  auto Even = [&](int L, int R, int d) {
    int l = L % (2 * d) >= d ? L + d - L % d : L;
    int r = R % (2 * d) >= d ? R - R % d - 1 : R;
    return l > r ? pair {0, -1} : pair {l / (2 * d) * d + l % (2 * d), r / (2 * d) * d + r % (2 * d)};
  };
  auto Odd = [&](int L, int R, int d) {
    int l = L % (2 * d) < d ? L + d - L % d : L;
    int r = R % (2 * d) < d ? R - R % d - 1 : R;
    return l > r ? pair {0, -1} : pair {l / (2 * d) * d + (l - d) % (2 * d), r / (2 * d) * d + (r - d) % (2 * d)};
  };
  long long answer = numeric_limits<long long>::max();
  for (int d = 1; d < N; d++) {
    if (N % d == 0) {
      int N_even = N / (2 * d) * d + min(d, N % (2 * d)), N_odd = N / (2 * d) * d + max(0, N % (2 * d) - d);
      segment_tree st_even(N_even), st_odd(N_odd);
      long long answer_e = 0, answer_o = 0;
      for (int i = 0; i < N; i++) {
        for (auto [j1, j2, t] : rect[i]) {
          auto [j1_e, j2_e] = Even(j1, j2, d);
          auto [j1_o, j2_o] = Odd(j1, j2, d);
          st_even.update(j1_e, j2_e + 1, t);
          st_odd.update(j1_o, j2_o + 1, t);
        }
        int cnt_e = st_even.query(), cnt_o = st_odd.query();
        int r = (i / d) % 2;
        answer_o += (r ? cnt_e : N_even - cnt_e) + (!r ? cnt_o : N_odd - cnt_o);
        answer_e += (!r ? cnt_e : N_even - cnt_e) + (r ? cnt_o : N_odd - cnt_o);
      }
      answer = min({answer, answer_e, answer_o});
    }
  }
  cout << answer << "\n";
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 416 KB Output is correct
8 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 5976 KB Output is correct
2 Correct 11 ms 2140 KB Output is correct
3 Correct 34 ms 8180 KB Output is correct
4 Correct 24 ms 3416 KB Output is correct
5 Correct 41 ms 6744 KB Output is correct
6 Correct 31 ms 5212 KB Output is correct
7 Correct 7 ms 2140 KB Output is correct
8 Correct 28 ms 5468 KB Output is correct
9 Correct 63 ms 7684 KB Output is correct
10 Correct 40 ms 5976 KB Output is correct

Subtask #3
15.0 / 15.0

# 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 1 ms 348 KB Output is correct
4 Correct 2 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 488 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 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 408 KB Output is correct
15 Correct 1 ms 348 KB Output is correct

Subtask #4
16.0 / 16.0

# 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 1 ms 348 KB Output is correct
4 Correct 2 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 488 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 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 408 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 26 ms 1484 KB Output is correct
17 Correct 39 ms 3624 KB Output is correct
18 Correct 95 ms 3708 KB Output is correct
19 Correct 624 ms 3728 KB Output is correct
20 Correct 643 ms 3732 KB Output is correct
21 Correct 36 ms 3928 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 79 ms 2156 KB Output is correct
24 Correct 82 ms 3676 KB Output is correct
25 Correct 19 ms 864 KB Output is correct
26 Correct 74 ms 2396 KB Output is correct
27 Correct 102 ms 3416 KB Output is correct
28 Correct 86 ms 3700 KB Output is correct
29 Correct 26 ms 1884 KB Output is correct
30 Correct 3 ms 604 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 5976 KB Output is correct
2 Correct 11 ms 2140 KB Output is correct
3 Correct 34 ms 8180 KB Output is correct
4 Correct 24 ms 3416 KB Output is correct
5 Correct 41 ms 6744 KB Output is correct
6 Correct 31 ms 5212 KB Output is correct
7 Correct 7 ms 2140 KB Output is correct
8 Correct 28 ms 5468 KB Output is correct
9 Correct 63 ms 7684 KB Output is correct
10 Correct 40 ms 5976 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 488 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 408 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 26 ms 1484 KB Output is correct
27 Correct 39 ms 3624 KB Output is correct
28 Correct 95 ms 3708 KB Output is correct
29 Correct 624 ms 3728 KB Output is correct
30 Correct 643 ms 3732 KB Output is correct
31 Correct 36 ms 3928 KB Output is correct
32 Correct 2 ms 348 KB Output is correct
33 Correct 79 ms 2156 KB Output is correct
34 Correct 82 ms 3676 KB Output is correct
35 Correct 19 ms 864 KB Output is correct
36 Correct 74 ms 2396 KB Output is correct
37 Correct 102 ms 3416 KB Output is correct
38 Correct 86 ms 3700 KB Output is correct
39 Correct 26 ms 1884 KB Output is correct
40 Correct 3 ms 604 KB Output is correct
41 Correct 976 ms 12784 KB Output is correct
42 Correct 176 ms 11968 KB Output is correct
43 Correct 491 ms 12708 KB Output is correct
44 Correct 190 ms 13204 KB Output is correct
45 Correct 99 ms 12244 KB Output is correct
46 Correct 1097 ms 11924 KB Output is correct
47 Correct 76 ms 11424 KB Output is correct
48 Correct 334 ms 11552 KB Output is correct
49 Correct 149 ms 11260 KB Output is correct
50 Execution timed out 2041 ms 11372 KB Time limit exceeded
51 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 416 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 46 ms 5976 KB Output is correct
10 Correct 11 ms 2140 KB Output is correct
11 Correct 34 ms 8180 KB Output is correct
12 Correct 24 ms 3416 KB Output is correct
13 Correct 41 ms 6744 KB Output is correct
14 Correct 31 ms 5212 KB Output is correct
15 Correct 7 ms 2140 KB Output is correct
16 Correct 28 ms 5468 KB Output is correct
17 Correct 63 ms 7684 KB Output is correct
18 Correct 40 ms 5976 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 488 KB Output is correct
27 Correct 1 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 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 408 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 26 ms 1484 KB Output is correct
35 Correct 39 ms 3624 KB Output is correct
36 Correct 95 ms 3708 KB Output is correct
37 Correct 624 ms 3728 KB Output is correct
38 Correct 643 ms 3732 KB Output is correct
39 Correct 36 ms 3928 KB Output is correct
40 Correct 2 ms 348 KB Output is correct
41 Correct 79 ms 2156 KB Output is correct
42 Correct 82 ms 3676 KB Output is correct
43 Correct 19 ms 864 KB Output is correct
44 Correct 74 ms 2396 KB Output is correct
45 Correct 102 ms 3416 KB Output is correct
46 Correct 86 ms 3700 KB Output is correct
47 Correct 26 ms 1884 KB Output is correct
48 Correct 3 ms 604 KB Output is correct
49 Correct 976 ms 12784 KB Output is correct
50 Correct 176 ms 11968 KB Output is correct
51 Correct 491 ms 12708 KB Output is correct
52 Correct 190 ms 13204 KB Output is correct
53 Correct 99 ms 12244 KB Output is correct
54 Correct 1097 ms 11924 KB Output is correct
55 Correct 76 ms 11424 KB Output is correct
56 Correct 334 ms 11552 KB Output is correct
57 Correct 149 ms 11260 KB Output is correct
58 Execution timed out 2041 ms 11372 KB Time limit exceeded
59 Halted 0 ms 0 KB -