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Submission #797344

# Submission time Handle Problem Language Result Execution time Memory
797344 2023-07-29T09:46:27 Z finn__ Diversity (CEOI21_diversity) C++17
38 / 100
 439 ms 6220 KB 
#include <bits/stdc++.h>
using namespace std;

constexpr size_t N = 300000, M = 1000;

uint64_t f[2][N], s[M], p[M];

template <typename T>
T gauss(T n) { return (n * (n + 1)) / 2; }

template <typename T>
T range_gauss(T a, T b)
{
    return gauss(b) - (a ? gauss(a - 1) : 0);
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    size_t n, q;
    cin >> n >> q;
    for (size_t i = 0; i < n; ++i)
    {
        size_t a;
        cin >> a;
        s[a - 1]++;
    }

    sort(s, s + M);
    partial_sum(s, s + M, p);
    memset(f, 255, sizeof f);
    f[0][0] = 0;

    for (size_t j = 0; j < M; ++j)
    {
        size_t const u = j & 1, v = (j & 1) ^ 1;
        memset(f[v], 255, sizeof f[v]);
        for (size_t i = 0; i <= (j ? p[j - 1] : 0); ++i)
            if (f[u][i] != UINT64_MAX)
            {
                // Extend left
                uint64_t l = i, r = l + s[j] - 1;
                f[v][i + s[j]] = min(f[v][i + s[j]], f[u][i] + (r + 1) * n - l * l - range_gauss(l, r));

                // Extend right
                r = n - ((j ? p[j - 1] : 0) - i) - 1, l = r - s[j] + 1;
                f[v][i] = min(f[v][i], f[u][i] + (r + 1) * n - l * l - range_gauss(l, r));
            }
    }

    uint64_t ans = UINT64_MAX;
    for (size_t i = 0; i < n; ++i)
        ans = min(ans, f[M & 1][i]);
    cout << ans << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4948 KB Output is correct
2 Correct 41 ms 5016 KB Output is correct
3 Correct 40 ms 4936 KB Output is correct
4 Correct 40 ms 4948 KB Output is correct
5 Correct 40 ms 5012 KB Output is correct
6 Correct 39 ms 5016 KB Output is correct
7 Correct 40 ms 5016 KB Output is correct
8 Correct 40 ms 4948 KB Output is correct
9 Correct 41 ms 5016 KB Output is correct
10 Correct 40 ms 4948 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4948 KB Output is correct
2 Correct 40 ms 4948 KB Output is correct
3 Correct 41 ms 5036 KB Output is correct
4 Correct 43 ms 5204 KB Output is correct
5 Correct 47 ms 5332 KB Output is correct
6 Correct 53 ms 5612 KB Output is correct
7 Correct 51 ms 5624 KB Output is correct
8 Correct 56 ms 5640 KB Output is correct
9 Correct 57 ms 5644 KB Output is correct
10 Correct 51 ms 5680 KB Output is correct
11 Correct 54 ms 5568 KB Output is correct
12 Correct 51 ms 5688 KB Output is correct
13 Correct 52 ms 5564 KB Output is correct
14 Correct 51 ms 5580 KB Output is correct
15 Correct 51 ms 5652 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4948 KB Output is correct
2 Correct 40 ms 4948 KB Output is correct
3 Correct 41 ms 5036 KB Output is correct
4 Correct 43 ms 5204 KB Output is correct
5 Correct 47 ms 5332 KB Output is correct
6 Correct 53 ms 5612 KB Output is correct
7 Correct 51 ms 5624 KB Output is correct
8 Correct 56 ms 5640 KB Output is correct
9 Correct 57 ms 5644 KB Output is correct
10 Correct 51 ms 5680 KB Output is correct
11 Correct 54 ms 5568 KB Output is correct
12 Correct 51 ms 5688 KB Output is correct
13 Correct 52 ms 5564 KB Output is correct
14 Correct 51 ms 5580 KB Output is correct
15 Correct 51 ms 5652 KB Output is correct
16 Correct 40 ms 4948 KB Output is correct
17 Correct 40 ms 5016 KB Output is correct
18 Correct 40 ms 5044 KB Output is correct
19 Correct 46 ms 5288 KB Output is correct
20 Correct 52 ms 5548 KB Output is correct
21 Correct 57 ms 5844 KB Output is correct
22 Correct 57 ms 5812 KB Output is correct
23 Correct 59 ms 5820 KB Output is correct
24 Correct 59 ms 5804 KB Output is correct
25 Correct 58 ms 5716 KB Output is correct
26 Correct 58 ms 5720 KB Output is correct
27 Correct 59 ms 5716 KB Output is correct
28 Correct 57 ms 5716 KB Output is correct
29 Correct 58 ms 5696 KB Output is correct
30 Correct 59 ms 5820 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4948 KB Output is correct
2 Correct 40 ms 4948 KB Output is correct
3 Correct 41 ms 5036 KB Output is correct
4 Correct 43 ms 5204 KB Output is correct
5 Correct 47 ms 5332 KB Output is correct
6 Correct 53 ms 5612 KB Output is correct
7 Correct 51 ms 5624 KB Output is correct
8 Correct 56 ms 5640 KB Output is correct
9 Correct 57 ms 5644 KB Output is correct
10 Correct 51 ms 5680 KB Output is correct
11 Correct 54 ms 5568 KB Output is correct
12 Correct 51 ms 5688 KB Output is correct
13 Correct 52 ms 5564 KB Output is correct
14 Correct 51 ms 5580 KB Output is correct
15 Correct 51 ms 5652 KB Output is correct
16 Correct 40 ms 4948 KB Output is correct
17 Correct 40 ms 5016 KB Output is correct
18 Correct 40 ms 5044 KB Output is correct
19 Correct 46 ms 5288 KB Output is correct
20 Correct 52 ms 5548 KB Output is correct
21 Correct 57 ms 5844 KB Output is correct
22 Correct 57 ms 5812 KB Output is correct
23 Correct 59 ms 5820 KB Output is correct
24 Correct 59 ms 5804 KB Output is correct
25 Correct 58 ms 5716 KB Output is correct
26 Correct 58 ms 5720 KB Output is correct
27 Correct 59 ms 5716 KB Output is correct
28 Correct 57 ms 5716 KB Output is correct
29 Correct 58 ms 5696 KB Output is correct
30 Correct 59 ms 5820 KB Output is correct
31 Correct 40 ms 4948 KB Output is correct
32 Correct 40 ms 4948 KB Output is correct
33 Correct 39 ms 5016 KB Output is correct
34 Correct 41 ms 4948 KB Output is correct
35 Correct 43 ms 4948 KB Output is correct
36 Correct 52 ms 5060 KB Output is correct
37 Correct 72 ms 5204 KB Output is correct
38 Correct 106 ms 5196 KB Output is correct
39 Correct 163 ms 5396 KB Output is correct
40 Correct 284 ms 5716 KB Output is correct
41 Correct 421 ms 6204 KB Output is correct
42 Correct 418 ms 6164 KB Output is correct
43 Correct 420 ms 6196 KB Output is correct
44 Correct 407 ms 6088 KB Output is correct
45 Correct 418 ms 6204 KB Output is correct
46 Correct 410 ms 6100 KB Output is correct
47 Correct 420 ms 6168 KB Output is correct
48 Correct 404 ms 6088 KB Output is correct
49 Correct 412 ms 6164 KB Output is correct
50 Correct 399 ms 6100 KB Output is correct
51 Correct 409 ms 6168 KB Output is correct
52 Correct 408 ms 6156 KB Output is correct
53 Correct 415 ms 6168 KB Output is correct
54 Correct 406 ms 6220 KB Output is correct
55 Correct 407 ms 6092 KB Output is correct
56 Correct 439 ms 6164 KB Output is correct
57 Correct 411 ms 6160 KB Output is correct
58 Correct 404 ms 6168 KB Output is correct
59 Correct 402 ms 6168 KB Output is correct
60 Correct 408 ms 6160 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4948 KB Output is correct
2 Correct 41 ms 5016 KB Output is correct
3 Correct 40 ms 4936 KB Output is correct
4 Correct 40 ms 4948 KB Output is correct
5 Correct 40 ms 5012 KB Output is correct
6 Correct 39 ms 5016 KB Output is correct
7 Correct 40 ms 5016 KB Output is correct
8 Correct 40 ms 4948 KB Output is correct
9 Correct 41 ms 5016 KB Output is correct
10 Correct 40 ms 4948 KB Output is correct
11 Correct 39 ms 4948 KB Output is correct
12 Correct 40 ms 4948 KB Output is correct
13 Correct 41 ms 5036 KB Output is correct
14 Correct 43 ms 5204 KB Output is correct
15 Correct 47 ms 5332 KB Output is correct
16 Correct 53 ms 5612 KB Output is correct
17 Correct 51 ms 5624 KB Output is correct
18 Correct 56 ms 5640 KB Output is correct
19 Correct 57 ms 5644 KB Output is correct
20 Correct 51 ms 5680 KB Output is correct
21 Correct 54 ms 5568 KB Output is correct
22 Correct 51 ms 5688 KB Output is correct
23 Correct 52 ms 5564 KB Output is correct
24 Correct 51 ms 5580 KB Output is correct
25 Correct 51 ms 5652 KB Output is correct
26 Correct 40 ms 4948 KB Output is correct
27 Correct 40 ms 5016 KB Output is correct
28 Correct 40 ms 5044 KB Output is correct
29 Correct 46 ms 5288 KB Output is correct
30 Correct 52 ms 5548 KB Output is correct
31 Correct 57 ms 5844 KB Output is correct
32 Correct 57 ms 5812 KB Output is correct
33 Correct 59 ms 5820 KB Output is correct
34 Correct 59 ms 5804 KB Output is correct
35 Correct 58 ms 5716 KB Output is correct
36 Correct 58 ms 5720 KB Output is correct
37 Correct 59 ms 5716 KB Output is correct
38 Correct 57 ms 5716 KB Output is correct
39 Correct 58 ms 5696 KB Output is correct
40 Correct 59 ms 5820 KB Output is correct
41 Correct 40 ms 4948 KB Output is correct
42 Correct 40 ms 4948 KB Output is correct
43 Correct 39 ms 5016 KB Output is correct
44 Correct 41 ms 4948 KB Output is correct
45 Correct 43 ms 4948 KB Output is correct
46 Correct 52 ms 5060 KB Output is correct
47 Correct 72 ms 5204 KB Output is correct
48 Correct 106 ms 5196 KB Output is correct
49 Correct 163 ms 5396 KB Output is correct
50 Correct 284 ms 5716 KB Output is correct
51 Correct 421 ms 6204 KB Output is correct
52 Correct 418 ms 6164 KB Output is correct
53 Correct 420 ms 6196 KB Output is correct
54 Correct 407 ms 6088 KB Output is correct
55 Correct 418 ms 6204 KB Output is correct
56 Correct 410 ms 6100 KB Output is correct
57 Correct 420 ms 6168 KB Output is correct
58 Correct 404 ms 6088 KB Output is correct
59 Correct 412 ms 6164 KB Output is correct
60 Correct 399 ms 6100 KB Output is correct
61 Correct 409 ms 6168 KB Output is correct
62 Correct 408 ms 6156 KB Output is correct
63 Correct 415 ms 6168 KB Output is correct
64 Correct 406 ms 6220 KB Output is correct
65 Correct 407 ms 6092 KB Output is correct
66 Correct 439 ms 6164 KB Output is correct
67 Correct 411 ms 6160 KB Output is correct
68 Correct 404 ms 6168 KB Output is correct
69 Correct 402 ms 6168 KB Output is correct
70 Correct 408 ms 6160 KB Output is correct
71 Incorrect 72 ms 5204 KB Output isn't correct
72 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4948 KB Output is correct
2 Correct 41 ms 5016 KB Output is correct
3 Correct 40 ms 4936 KB Output is correct
4 Correct 40 ms 4948 KB Output is correct
5 Correct 40 ms 5012 KB Output is correct
6 Correct 39 ms 5016 KB Output is correct
7 Correct 40 ms 5016 KB Output is correct
8 Correct 40 ms 4948 KB Output is correct
9 Correct 41 ms 5016 KB Output is correct
10 Correct 40 ms 4948 KB Output is correct
11 Correct 39 ms 4948 KB Output is correct
12 Correct 40 ms 4948 KB Output is correct
13 Correct 41 ms 5036 KB Output is correct
14 Correct 43 ms 5204 KB Output is correct
15 Correct 47 ms 5332 KB Output is correct
16 Correct 53 ms 5612 KB Output is correct
17 Correct 51 ms 5624 KB Output is correct
18 Correct 56 ms 5640 KB Output is correct
19 Correct 57 ms 5644 KB Output is correct
20 Correct 51 ms 5680 KB Output is correct
21 Correct 54 ms 5568 KB Output is correct
22 Correct 51 ms 5688 KB Output is correct
23 Correct 52 ms 5564 KB Output is correct
24 Correct 51 ms 5580 KB Output is correct
25 Correct 51 ms 5652 KB Output is correct
26 Correct 40 ms 4948 KB Output is correct
27 Correct 40 ms 5016 KB Output is correct
28 Correct 40 ms 5044 KB Output is correct
29 Correct 46 ms 5288 KB Output is correct
30 Correct 52 ms 5548 KB Output is correct
31 Correct 57 ms 5844 KB Output is correct
32 Correct 57 ms 5812 KB Output is correct
33 Correct 59 ms 5820 KB Output is correct
34 Correct 59 ms 5804 KB Output is correct
35 Correct 58 ms 5716 KB Output is correct
36 Correct 58 ms 5720 KB Output is correct
37 Correct 59 ms 5716 KB Output is correct
38 Correct 57 ms 5716 KB Output is correct
39 Correct 58 ms 5696 KB Output is correct
40 Correct 59 ms 5820 KB Output is correct
41 Correct 40 ms 4948 KB Output is correct
42 Correct 40 ms 4948 KB Output is correct
43 Correct 39 ms 5016 KB Output is correct
44 Correct 41 ms 4948 KB Output is correct
45 Correct 43 ms 4948 KB Output is correct
46 Correct 52 ms 5060 KB Output is correct
47 Correct 72 ms 5204 KB Output is correct
48 Correct 106 ms 5196 KB Output is correct
49 Correct 163 ms 5396 KB Output is correct
50 Correct 284 ms 5716 KB Output is correct
51 Correct 421 ms 6204 KB Output is correct
52 Correct 418 ms 6164 KB Output is correct
53 Correct 420 ms 6196 KB Output is correct
54 Correct 407 ms 6088 KB Output is correct
55 Correct 418 ms 6204 KB Output is correct
56 Correct 410 ms 6100 KB Output is correct
57 Correct 420 ms 6168 KB Output is correct
58 Correct 404 ms 6088 KB Output is correct
59 Correct 412 ms 6164 KB Output is correct
60 Correct 399 ms 6100 KB Output is correct
61 Correct 409 ms 6168 KB Output is correct
62 Correct 408 ms 6156 KB Output is correct
63 Correct 415 ms 6168 KB Output is correct
64 Correct 406 ms 6220 KB Output is correct
65 Correct 407 ms 6092 KB Output is correct
66 Correct 439 ms 6164 KB Output is correct
67 Correct 411 ms 6160 KB Output is correct
68 Correct 404 ms 6168 KB Output is correct
69 Correct 402 ms 6168 KB Output is correct
70 Correct 408 ms 6160 KB Output is correct
71 Incorrect 72 ms 5204 KB Output isn't correct
72 Halted 0 ms 0 KB -