Submission #1036250

# Submission time Handle Problem Language Result Execution time Memory
1036250 2024-07-27T07:06:33 Z ind1v Pilot (NOI19_pilot) C++11
100 / 100
429 ms 53328 KB
#include <bits/stdc++.h>

using namespace std;

const int N = 1e6 + 5;

struct dsu {
  int lab[N];
  int cnt[N];
  bool on[N];
  long long cur;
  
  dsu() {
    memset(lab, -1, sizeof(lab));
    fill(cnt, cnt + N, 1);
    cur = 0;
  }
  
  int find(int u) {
    return lab[u] < 0 ? u : lab[u] = find(lab[u]);
  }
  
  bool merge(int u, int v) {
    if ((u = find(u)) == (v = find(v))) {
      return false;
    }
    if (lab[u] > lab[v]) {
      swap(u, v);
    }
    lab[u] += lab[v];
    lab[v] = u;
    cur -= 1LL * cnt[u] * (cnt[u] + 1) / 2;
    cur -= 1LL * cnt[v] * (cnt[v] + 1) / 2;
    cnt[u] += cnt[v];
    cur += 1LL * cnt[u] * (cnt[u] + 1) / 2;
    return true;
  }
};

int n, q;
int h[N], y[N];
int ord_h[N], ord_y[N];
long long ans[N];
dsu g;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n >> q;
  for (int i = 1; i <= n; i++) {
    cin >> h[i];
  }
  for (int i = 1; i <= q; i++) {
    cin >> y[i];
  }
  iota(ord_h + 1, ord_h + n + 1, 1);
  sort(ord_h + 1, ord_h + n + 1, [](int u, int v) -> bool {
    return h[u] < h[v];
  });
  iota(ord_y + 1, ord_y + q + 1, 1);
  sort(ord_y + 1, ord_y + q + 1, [](int u, int v) -> bool {
    return y[u] < y[v];
  });
  for (int i = 1, j = 1; i <= q; i++) {
    while (j <= n && h[ord_h[j]] <= y[ord_y[i]]) {
      g.on[ord_h[j]] = true;
      g.cur++;
      if (ord_h[j] - 1 >= 1 && g.on[ord_h[j] - 1]) {
        g.merge(ord_h[j], ord_h[j] - 1);
      }
      if (ord_h[j] + 1 <= n && g.on[ord_h[j] + 1]) {
        g.merge(ord_h[j], ord_h[j] + 1);
      }
      j++;
    }
    ans[ord_y[i]] = g.cur;
  }
  for (int i = 1; i <= q; i++) {
    cout << ans[i] << '\n';
  }
  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8280 KB Output is correct
2 Correct 3 ms 8280 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 3 ms 8296 KB Output is correct
5 Correct 3 ms 8284 KB Output is correct
6 Correct 4 ms 8284 KB Output is correct
7 Correct 3 ms 8284 KB Output is correct
8 Correct 3 ms 8192 KB Output is correct
9 Correct 3 ms 8280 KB Output is correct
10 Correct 4 ms 8284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8280 KB Output is correct
2 Correct 3 ms 8280 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 3 ms 8296 KB Output is correct
5 Correct 3 ms 8284 KB Output is correct
6 Correct 4 ms 8284 KB Output is correct
7 Correct 3 ms 8284 KB Output is correct
8 Correct 3 ms 8192 KB Output is correct
9 Correct 3 ms 8280 KB Output is correct
10 Correct 4 ms 8284 KB Output is correct
11 Correct 3 ms 8280 KB Output is correct
12 Correct 3 ms 8284 KB Output is correct
13 Correct 3 ms 8264 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 3 ms 8284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8280 KB Output is correct
2 Correct 3 ms 8280 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 3 ms 8296 KB Output is correct
5 Correct 3 ms 8284 KB Output is correct
6 Correct 4 ms 8284 KB Output is correct
7 Correct 3 ms 8284 KB Output is correct
8 Correct 3 ms 8192 KB Output is correct
9 Correct 3 ms 8280 KB Output is correct
10 Correct 4 ms 8284 KB Output is correct
11 Correct 3 ms 8280 KB Output is correct
12 Correct 3 ms 8284 KB Output is correct
13 Correct 3 ms 8264 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 3 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 3 ms 8284 KB Output is correct
20 Correct 3 ms 8280 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8280 KB Output is correct
2 Correct 3 ms 8280 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 3 ms 8296 KB Output is correct
5 Correct 3 ms 8284 KB Output is correct
6 Correct 4 ms 8284 KB Output is correct
7 Correct 3 ms 8284 KB Output is correct
8 Correct 3 ms 8192 KB Output is correct
9 Correct 3 ms 8280 KB Output is correct
10 Correct 4 ms 8284 KB Output is correct
11 Correct 3 ms 8280 KB Output is correct
12 Correct 3 ms 8284 KB Output is correct
13 Correct 3 ms 8264 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 3 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 3 ms 8284 KB Output is correct
20 Correct 3 ms 8280 KB Output is correct
21 Correct 4 ms 8284 KB Output is correct
22 Correct 4 ms 8284 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 4 ms 8344 KB Output is correct
25 Correct 6 ms 8284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 9560 KB Output is correct
2 Correct 18 ms 9816 KB Output is correct
3 Correct 17 ms 9588 KB Output is correct
4 Correct 17 ms 9640 KB Output is correct
5 Correct 21 ms 9780 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 28 ms 12664 KB Output is correct
2 Correct 29 ms 12792 KB Output is correct
3 Correct 29 ms 12844 KB Output is correct
4 Correct 28 ms 12628 KB Output is correct
5 Correct 28 ms 12628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 29 ms 12628 KB Output is correct
2 Correct 29 ms 12816 KB Output is correct
3 Correct 29 ms 12880 KB Output is correct
4 Correct 29 ms 12628 KB Output is correct
5 Correct 30 ms 12924 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8280 KB Output is correct
2 Correct 3 ms 8280 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 3 ms 8296 KB Output is correct
5 Correct 3 ms 8284 KB Output is correct
6 Correct 4 ms 8284 KB Output is correct
7 Correct 3 ms 8284 KB Output is correct
8 Correct 3 ms 8192 KB Output is correct
9 Correct 3 ms 8280 KB Output is correct
10 Correct 4 ms 8284 KB Output is correct
11 Correct 21 ms 9560 KB Output is correct
12 Correct 18 ms 9816 KB Output is correct
13 Correct 17 ms 9588 KB Output is correct
14 Correct 17 ms 9640 KB Output is correct
15 Correct 21 ms 9780 KB Output is correct
16 Correct 20 ms 9564 KB Output is correct
17 Correct 16 ms 9660 KB Output is correct
18 Correct 16 ms 9820 KB Output is correct
19 Correct 14 ms 9524 KB Output is correct
20 Correct 16 ms 9820 KB Output is correct
21 Correct 17 ms 9564 KB Output is correct
22 Correct 16 ms 9564 KB Output is correct
23 Correct 16 ms 9712 KB Output is correct
24 Correct 15 ms 9560 KB Output is correct
25 Correct 16 ms 9560 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8280 KB Output is correct
2 Correct 3 ms 8280 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 3 ms 8296 KB Output is correct
5 Correct 3 ms 8284 KB Output is correct
6 Correct 4 ms 8284 KB Output is correct
7 Correct 3 ms 8284 KB Output is correct
8 Correct 3 ms 8192 KB Output is correct
9 Correct 3 ms 8280 KB Output is correct
10 Correct 4 ms 8284 KB Output is correct
11 Correct 3 ms 8280 KB Output is correct
12 Correct 3 ms 8284 KB Output is correct
13 Correct 3 ms 8264 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 3 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 3 ms 8284 KB Output is correct
20 Correct 3 ms 8280 KB Output is correct
21 Correct 4 ms 8284 KB Output is correct
22 Correct 4 ms 8284 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 4 ms 8344 KB Output is correct
25 Correct 6 ms 8284 KB Output is correct
26 Correct 21 ms 9560 KB Output is correct
27 Correct 18 ms 9816 KB Output is correct
28 Correct 17 ms 9588 KB Output is correct
29 Correct 17 ms 9640 KB Output is correct
30 Correct 21 ms 9780 KB Output is correct
31 Correct 28 ms 12664 KB Output is correct
32 Correct 29 ms 12792 KB Output is correct
33 Correct 29 ms 12844 KB Output is correct
34 Correct 28 ms 12628 KB Output is correct
35 Correct 28 ms 12628 KB Output is correct
36 Correct 29 ms 12628 KB Output is correct
37 Correct 29 ms 12816 KB Output is correct
38 Correct 29 ms 12880 KB Output is correct
39 Correct 29 ms 12628 KB Output is correct
40 Correct 30 ms 12924 KB Output is correct
41 Correct 20 ms 9564 KB Output is correct
42 Correct 16 ms 9660 KB Output is correct
43 Correct 16 ms 9820 KB Output is correct
44 Correct 14 ms 9524 KB Output is correct
45 Correct 16 ms 9820 KB Output is correct
46 Correct 17 ms 9564 KB Output is correct
47 Correct 16 ms 9564 KB Output is correct
48 Correct 16 ms 9712 KB Output is correct
49 Correct 15 ms 9560 KB Output is correct
50 Correct 16 ms 9560 KB Output is correct
51 Correct 37 ms 12628 KB Output is correct
52 Correct 37 ms 12368 KB Output is correct
53 Correct 36 ms 12508 KB Output is correct
54 Correct 37 ms 12512 KB Output is correct
55 Correct 36 ms 12368 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8280 KB Output is correct
2 Correct 3 ms 8280 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 3 ms 8296 KB Output is correct
5 Correct 3 ms 8284 KB Output is correct
6 Correct 4 ms 8284 KB Output is correct
7 Correct 3 ms 8284 KB Output is correct
8 Correct 3 ms 8192 KB Output is correct
9 Correct 3 ms 8280 KB Output is correct
10 Correct 4 ms 8284 KB Output is correct
11 Correct 3 ms 8280 KB Output is correct
12 Correct 3 ms 8284 KB Output is correct
13 Correct 3 ms 8264 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 3 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 3 ms 8284 KB Output is correct
20 Correct 3 ms 8280 KB Output is correct
21 Correct 4 ms 8284 KB Output is correct
22 Correct 4 ms 8284 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 4 ms 8344 KB Output is correct
25 Correct 6 ms 8284 KB Output is correct
26 Correct 21 ms 9560 KB Output is correct
27 Correct 18 ms 9816 KB Output is correct
28 Correct 17 ms 9588 KB Output is correct
29 Correct 17 ms 9640 KB Output is correct
30 Correct 21 ms 9780 KB Output is correct
31 Correct 28 ms 12664 KB Output is correct
32 Correct 29 ms 12792 KB Output is correct
33 Correct 29 ms 12844 KB Output is correct
34 Correct 28 ms 12628 KB Output is correct
35 Correct 28 ms 12628 KB Output is correct
36 Correct 29 ms 12628 KB Output is correct
37 Correct 29 ms 12816 KB Output is correct
38 Correct 29 ms 12880 KB Output is correct
39 Correct 29 ms 12628 KB Output is correct
40 Correct 30 ms 12924 KB Output is correct
41 Correct 20 ms 9564 KB Output is correct
42 Correct 16 ms 9660 KB Output is correct
43 Correct 16 ms 9820 KB Output is correct
44 Correct 14 ms 9524 KB Output is correct
45 Correct 16 ms 9820 KB Output is correct
46 Correct 17 ms 9564 KB Output is correct
47 Correct 16 ms 9564 KB Output is correct
48 Correct 16 ms 9712 KB Output is correct
49 Correct 15 ms 9560 KB Output is correct
50 Correct 16 ms 9560 KB Output is correct
51 Correct 37 ms 12628 KB Output is correct
52 Correct 37 ms 12368 KB Output is correct
53 Correct 36 ms 12508 KB Output is correct
54 Correct 37 ms 12512 KB Output is correct
55 Correct 36 ms 12368 KB Output is correct
56 Correct 429 ms 52636 KB Output is correct
57 Correct 408 ms 51536 KB Output is correct
58 Correct 371 ms 49536 KB Output is correct
59 Correct 392 ms 50516 KB Output is correct
60 Correct 389 ms 53328 KB Output is correct