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Submission #485435

# Submission time Handle Problem Language Result Execution time Memory
485435 2021-11-07T18:23:23 Z blue Pilot (NOI19_pilot) C++17
100 / 100
 987 ms 52124 KB 
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

using vi = vector<int>;

const int mx = 1'000'000;

vi H;

long long ans = 0;

vi parent(mx);
vi subtree(mx, 1);

int root(int u)
{
    if(parent[u] == u) return u;
    else
    {
        parent[u] = root(parent[u]);
        return parent[u];
    }
}

long long ch(long long v)
{
    return v*(v+1)/2;
}

int N, Q;

void join(int u, int v)
{
    if(v < 0 || N <= v) return;
    if(!subtree[v]) return;

    u = root(u);
    v = root(v);
    if(u == v) return;

    if(subtree[u] < subtree[v]) swap(u, v);

    ans += ch(subtree[u] + subtree[v]) - ch(subtree[u]) - ch(subtree[v]);

    parent[v] = u;
    subtree[u] += subtree[v];
}

int main()
{
    cin >> N >> Q;

    H = vi(N+Q);
    vi I(N+Q);
    for(int i = 0; i < N+Q; i++)
    {
        cin >> H[i];
        I[i] = i;
    }

    for(int i = 0; i < N+Q; i++) I[i] = i;

    sort(I.begin(), I.end(), [] (int p, int q)
    {
        if(H[p] != H[q]) return H[p] < H[q];
        else return p < q;
    });


    for(int i = 0; i < N; i++)
    {
        parent[i] = i;
        subtree[i] = 0;
    }

    vector<long long> res(Q);


    for(int i:I)
    {
        if(i < N)
        {
            ans++;
            subtree[i] = 1;
            join(i, i-1);
            join(i, i+1);
        }
        else
        {
            res[i-N] = ans;
        }
    }

    for(int j = 0; j < Q; j++) cout << res[j] << '\n';
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8012 KB Output is correct
2 Correct 4 ms 8116 KB Output is correct
3 Correct 4 ms 8012 KB Output is correct
4 Correct 4 ms 8128 KB Output is correct
5 Correct 4 ms 8140 KB Output is correct
6 Correct 3 ms 8140 KB Output is correct
7 Correct 4 ms 8136 KB Output is correct
8 Correct 3 ms 8140 KB Output is correct
9 Correct 3 ms 8012 KB Output is correct
10 Correct 4 ms 8140 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8012 KB Output is correct
2 Correct 4 ms 8116 KB Output is correct
3 Correct 4 ms 8012 KB Output is correct
4 Correct 4 ms 8128 KB Output is correct
5 Correct 4 ms 8140 KB Output is correct
6 Correct 3 ms 8140 KB Output is correct
7 Correct 4 ms 8136 KB Output is correct
8 Correct 3 ms 8140 KB Output is correct
9 Correct 3 ms 8012 KB Output is correct
10 Correct 4 ms 8140 KB Output is correct
11 Correct 3 ms 8132 KB Output is correct
12 Correct 3 ms 8140 KB Output is correct
13 Correct 4 ms 8132 KB Output is correct
14 Correct 3 ms 8136 KB Output is correct
15 Correct 4 ms 8012 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8012 KB Output is correct
2 Correct 4 ms 8116 KB Output is correct
3 Correct 4 ms 8012 KB Output is correct
4 Correct 4 ms 8128 KB Output is correct
5 Correct 4 ms 8140 KB Output is correct
6 Correct 3 ms 8140 KB Output is correct
7 Correct 4 ms 8136 KB Output is correct
8 Correct 3 ms 8140 KB Output is correct
9 Correct 3 ms 8012 KB Output is correct
10 Correct 4 ms 8140 KB Output is correct
11 Correct 3 ms 8132 KB Output is correct
12 Correct 3 ms 8140 KB Output is correct
13 Correct 4 ms 8132 KB Output is correct
14 Correct 3 ms 8136 KB Output is correct
15 Correct 4 ms 8012 KB Output is correct
16 Correct 4 ms 8140 KB Output is correct
17 Correct 4 ms 8136 KB Output is correct
18 Correct 4 ms 8140 KB Output is correct
19 Correct 5 ms 8012 KB Output is correct
20 Correct 4 ms 8140 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8012 KB Output is correct
2 Correct 4 ms 8116 KB Output is correct
3 Correct 4 ms 8012 KB Output is correct
4 Correct 4 ms 8128 KB Output is correct
5 Correct 4 ms 8140 KB Output is correct
6 Correct 3 ms 8140 KB Output is correct
7 Correct 4 ms 8136 KB Output is correct
8 Correct 3 ms 8140 KB Output is correct
9 Correct 3 ms 8012 KB Output is correct
10 Correct 4 ms 8140 KB Output is correct
11 Correct 3 ms 8132 KB Output is correct
12 Correct 3 ms 8140 KB Output is correct
13 Correct 4 ms 8132 KB Output is correct
14 Correct 3 ms 8136 KB Output is correct
15 Correct 4 ms 8012 KB Output is correct
16 Correct 4 ms 8140 KB Output is correct
17 Correct 4 ms 8136 KB Output is correct
18 Correct 4 ms 8140 KB Output is correct
19 Correct 5 ms 8012 KB Output is correct
20 Correct 4 ms 8140 KB Output is correct
21 Correct 4 ms 8140 KB Output is correct
22 Correct 5 ms 8140 KB Output is correct
23 Correct 4 ms 8140 KB Output is correct
24 Correct 4 ms 8140 KB Output is correct
25 Correct 4 ms 8140 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 9388 KB Output is correct
2 Correct 43 ms 9520 KB Output is correct
3 Correct 38 ms 9292 KB Output is correct
4 Correct 39 ms 9320 KB Output is correct
5 Correct 42 ms 9348 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 12332 KB Output is correct
2 Correct 76 ms 12392 KB Output is correct
3 Correct 77 ms 12484 KB Output is correct
4 Correct 78 ms 12484 KB Output is correct
5 Correct 81 ms 12372 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 12388 KB Output is correct
2 Correct 80 ms 12516 KB Output is correct
3 Correct 81 ms 12516 KB Output is correct
4 Correct 80 ms 12484 KB Output is correct
5 Correct 83 ms 12700 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8012 KB Output is correct
2 Correct 4 ms 8116 KB Output is correct
3 Correct 4 ms 8012 KB Output is correct
4 Correct 4 ms 8128 KB Output is correct
5 Correct 4 ms 8140 KB Output is correct
6 Correct 3 ms 8140 KB Output is correct
7 Correct 4 ms 8136 KB Output is correct
8 Correct 3 ms 8140 KB Output is correct
9 Correct 3 ms 8012 KB Output is correct
10 Correct 4 ms 8140 KB Output is correct
11 Correct 41 ms 9388 KB Output is correct
12 Correct 43 ms 9520 KB Output is correct
13 Correct 38 ms 9292 KB Output is correct
14 Correct 39 ms 9320 KB Output is correct
15 Correct 42 ms 9348 KB Output is correct
16 Correct 37 ms 9380 KB Output is correct
17 Correct 43 ms 9540 KB Output is correct
18 Correct 42 ms 9556 KB Output is correct
19 Correct 38 ms 9360 KB Output is correct
20 Correct 44 ms 9420 KB Output is correct
21 Correct 40 ms 9372 KB Output is correct
22 Correct 40 ms 9420 KB Output is correct
23 Correct 41 ms 9404 KB Output is correct
24 Correct 40 ms 9348 KB Output is correct
25 Correct 39 ms 9376 KB Output is correct

Subtask #9
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8012 KB Output is correct
2 Correct 4 ms 8116 KB Output is correct
3 Correct 4 ms 8012 KB Output is correct
4 Correct 4 ms 8128 KB Output is correct
5 Correct 4 ms 8140 KB Output is correct
6 Correct 3 ms 8140 KB Output is correct
7 Correct 4 ms 8136 KB Output is correct
8 Correct 3 ms 8140 KB Output is correct
9 Correct 3 ms 8012 KB Output is correct
10 Correct 4 ms 8140 KB Output is correct
11 Correct 3 ms 8132 KB Output is correct
12 Correct 3 ms 8140 KB Output is correct
13 Correct 4 ms 8132 KB Output is correct
14 Correct 3 ms 8136 KB Output is correct
15 Correct 4 ms 8012 KB Output is correct
16 Correct 4 ms 8140 KB Output is correct
17 Correct 4 ms 8136 KB Output is correct
18 Correct 4 ms 8140 KB Output is correct
19 Correct 5 ms 8012 KB Output is correct
20 Correct 4 ms 8140 KB Output is correct
21 Correct 4 ms 8140 KB Output is correct
22 Correct 5 ms 8140 KB Output is correct
23 Correct 4 ms 8140 KB Output is correct
24 Correct 4 ms 8140 KB Output is correct
25 Correct 4 ms 8140 KB Output is correct
26 Correct 41 ms 9388 KB Output is correct
27 Correct 43 ms 9520 KB Output is correct
28 Correct 38 ms 9292 KB Output is correct
29 Correct 39 ms 9320 KB Output is correct
30 Correct 42 ms 9348 KB Output is correct
31 Correct 77 ms 12332 KB Output is correct
32 Correct 76 ms 12392 KB Output is correct
33 Correct 77 ms 12484 KB Output is correct
34 Correct 78 ms 12484 KB Output is correct
35 Correct 81 ms 12372 KB Output is correct
36 Correct 78 ms 12388 KB Output is correct
37 Correct 80 ms 12516 KB Output is correct
38 Correct 81 ms 12516 KB Output is correct
39 Correct 80 ms 12484 KB Output is correct
40 Correct 83 ms 12700 KB Output is correct
41 Correct 37 ms 9380 KB Output is correct
42 Correct 43 ms 9540 KB Output is correct
43 Correct 42 ms 9556 KB Output is correct
44 Correct 38 ms 9360 KB Output is correct
45 Correct 44 ms 9420 KB Output is correct
46 Correct 40 ms 9372 KB Output is correct
47 Correct 40 ms 9420 KB Output is correct
48 Correct 41 ms 9404 KB Output is correct
49 Correct 40 ms 9348 KB Output is correct
50 Correct 39 ms 9376 KB Output is correct
51 Correct 83 ms 12300 KB Output is correct
52 Correct 87 ms 12188 KB Output is correct
53 Correct 84 ms 12228 KB Output is correct
54 Correct 90 ms 12164 KB Output is correct
55 Correct 85 ms 12308 KB Output is correct

Subtask #10
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8012 KB Output is correct
2 Correct 4 ms 8116 KB Output is correct
3 Correct 4 ms 8012 KB Output is correct
4 Correct 4 ms 8128 KB Output is correct
5 Correct 4 ms 8140 KB Output is correct
6 Correct 3 ms 8140 KB Output is correct
7 Correct 4 ms 8136 KB Output is correct
8 Correct 3 ms 8140 KB Output is correct
9 Correct 3 ms 8012 KB Output is correct
10 Correct 4 ms 8140 KB Output is correct
11 Correct 3 ms 8132 KB Output is correct
12 Correct 3 ms 8140 KB Output is correct
13 Correct 4 ms 8132 KB Output is correct
14 Correct 3 ms 8136 KB Output is correct
15 Correct 4 ms 8012 KB Output is correct
16 Correct 4 ms 8140 KB Output is correct
17 Correct 4 ms 8136 KB Output is correct
18 Correct 4 ms 8140 KB Output is correct
19 Correct 5 ms 8012 KB Output is correct
20 Correct 4 ms 8140 KB Output is correct
21 Correct 4 ms 8140 KB Output is correct
22 Correct 5 ms 8140 KB Output is correct
23 Correct 4 ms 8140 KB Output is correct
24 Correct 4 ms 8140 KB Output is correct
25 Correct 4 ms 8140 KB Output is correct
26 Correct 41 ms 9388 KB Output is correct
27 Correct 43 ms 9520 KB Output is correct
28 Correct 38 ms 9292 KB Output is correct
29 Correct 39 ms 9320 KB Output is correct
30 Correct 42 ms 9348 KB Output is correct
31 Correct 77 ms 12332 KB Output is correct
32 Correct 76 ms 12392 KB Output is correct
33 Correct 77 ms 12484 KB Output is correct
34 Correct 78 ms 12484 KB Output is correct
35 Correct 81 ms 12372 KB Output is correct
36 Correct 78 ms 12388 KB Output is correct
37 Correct 80 ms 12516 KB Output is correct
38 Correct 81 ms 12516 KB Output is correct
39 Correct 80 ms 12484 KB Output is correct
40 Correct 83 ms 12700 KB Output is correct
41 Correct 37 ms 9380 KB Output is correct
42 Correct 43 ms 9540 KB Output is correct
43 Correct 42 ms 9556 KB Output is correct
44 Correct 38 ms 9360 KB Output is correct
45 Correct 44 ms 9420 KB Output is correct
46 Correct 40 ms 9372 KB Output is correct
47 Correct 40 ms 9420 KB Output is correct
48 Correct 41 ms 9404 KB Output is correct
49 Correct 40 ms 9348 KB Output is correct
50 Correct 39 ms 9376 KB Output is correct
51 Correct 83 ms 12300 KB Output is correct
52 Correct 87 ms 12188 KB Output is correct
53 Correct 84 ms 12228 KB Output is correct
54 Correct 90 ms 12164 KB Output is correct
55 Correct 85 ms 12308 KB Output is correct
56 Correct 987 ms 51504 KB Output is correct
57 Correct 962 ms 50428 KB Output is correct
58 Correct 897 ms 48652 KB Output is correct
59 Correct 928 ms 49476 KB Output is correct
60 Correct 971 ms 52124 KB Output is correct