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Submission #798582

# Submission time Handle Problem Language Result Execution time Memory
798582 2023-07-30T21:01:40 Z Johann Diversity (CEOI21_diversity) C++14
22 / 100
 65 ms 10108 KB 
#include "bits/stdc++.h"
using namespace std;

typedef long long ll;
typedef vector<ll> vi;
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

const ll INF = 1e18;
int N, Q;
vi A, AA;
ll ans;
vi P;
vi answerPermutation;

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

    cin >> N >> Q;
    AA.resize(N);
    for (int i = 0; i < N; ++i)
        cin >> AA[i];

    while (Q--)
    {
        {
            int l, r;
            cin >> l >> r;
            --l;
            A = vi(AA.begin() + l, AA.begin() + r);
        }
        ll n = sz(A);

        vi heatMap(*max_element(all(A)) + 1, 0);
        for (int i = 0; i < sz(A); ++i)
            ++heatMap[A[i]];
        map<int, int> cnts;
        for (int i = 0; i < sz(heatMap); ++i)
            if (heatMap[i])
                ++cnts[heatMap[i]];

        ll pref = 0;
        ll num = sz(cnts);

        vi dp[2];
        for (int foo = 0; foo < 2; ++foo)
            dp[foo].reserve(N + 1), dp[foo].resize(N + 1);
        fill(all(dp[0]), INF);
        dp[0][0] = n * (n + 1) * (n + 1) / 2 - (2 * n + 1) * (n + 1) * n / 6;

        auto it = cnts.begin();
        for (int j = 0; j < num; ++j)
        {
            int ii = j & 1;
            int ni = ii ^ 1;
            fill(all(dp[ni]), INF);

            ll x = it->first;  // how much
            ll y = it->second; // how often

            ll subsure = 0;
            // either with left or right endpoint in set
            subsure += (n - x) * x * (x - 1) / 2;
            // if both are in set
            subsure += x * x * (x - 1) / 2 - (2 * x - 1) * x * (x - 1) / 6;
            // for every such set
            subsure *= y;

            for (ll left = 0; left < sz(dp[ii]); ++left)
            {
                ll tmp = dp[ii][left];
                if (tmp == INF)
                    continue;
                tmp -= subsure;

                vi L(y + 1, 0), R(y + 1, 0);
                ll l = left, r = pref - left;

                for (int i = 1; i <= y; ++i)
                {
                    L[i] = L[i - 1] + (x - 1) * l * (n - l - x);
                    R[i] = R[i - 1] + (x - 1) * r * (n - r - x);
                    l += x, r -= x;
                }
                for (int i = 0; i <= y; ++i)
                    dp[ni][left + x * i] = min(dp[ni][left + x * i], tmp - L[i] - R[y - i]);
            }
            ++it;
            pref += x * y;
        }
        ans = *min_element(all(dp[num & 1]));
        cout << ans << "\n";
    }

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 316 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 7 ms 3656 KB Output is correct
5 Correct 14 ms 6860 KB Output is correct
6 Correct 24 ms 10060 KB Output is correct
7 Correct 23 ms 10068 KB Output is correct
8 Correct 23 ms 10088 KB Output is correct
9 Correct 23 ms 10060 KB Output is correct
10 Correct 25 ms 10024 KB Output is correct
11 Correct 24 ms 10068 KB Output is correct
12 Correct 25 ms 10108 KB Output is correct
13 Correct 24 ms 10088 KB Output is correct
14 Correct 25 ms 10108 KB Output is correct
15 Correct 26 ms 10096 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 7 ms 3656 KB Output is correct
5 Correct 14 ms 6860 KB Output is correct
6 Correct 24 ms 10060 KB Output is correct
7 Correct 23 ms 10068 KB Output is correct
8 Correct 23 ms 10088 KB Output is correct
9 Correct 23 ms 10060 KB Output is correct
10 Correct 25 ms 10024 KB Output is correct
11 Correct 24 ms 10068 KB Output is correct
12 Correct 25 ms 10108 KB Output is correct
13 Correct 24 ms 10088 KB Output is correct
14 Correct 25 ms 10108 KB Output is correct
15 Correct 26 ms 10096 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 596 KB Output is correct
19 Correct 17 ms 3668 KB Output is correct
20 Correct 35 ms 6964 KB Output is correct
21 Correct 56 ms 10012 KB Output is correct
22 Correct 56 ms 9980 KB Output is correct
23 Correct 55 ms 10088 KB Output is correct
24 Correct 64 ms 10088 KB Output is correct
25 Correct 59 ms 10068 KB Output is correct
26 Correct 65 ms 10024 KB Output is correct
27 Correct 59 ms 10000 KB Output is correct
28 Correct 54 ms 10092 KB Output is correct
29 Correct 57 ms 10012 KB Output is correct
30 Correct 58 ms 9964 KB Output is correct

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 7 ms 3656 KB Output is correct
5 Correct 14 ms 6860 KB Output is correct
6 Correct 24 ms 10060 KB Output is correct
7 Correct 23 ms 10068 KB Output is correct
8 Correct 23 ms 10088 KB Output is correct
9 Correct 23 ms 10060 KB Output is correct
10 Correct 25 ms 10024 KB Output is correct
11 Correct 24 ms 10068 KB Output is correct
12 Correct 25 ms 10108 KB Output is correct
13 Correct 24 ms 10088 KB Output is correct
14 Correct 25 ms 10108 KB Output is correct
15 Correct 26 ms 10096 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 596 KB Output is correct
19 Correct 17 ms 3668 KB Output is correct
20 Correct 35 ms 6964 KB Output is correct
21 Correct 56 ms 10012 KB Output is correct
22 Correct 56 ms 9980 KB Output is correct
23 Correct 55 ms 10088 KB Output is correct
24 Correct 64 ms 10088 KB Output is correct
25 Correct 59 ms 10068 KB Output is correct
26 Correct 65 ms 10024 KB Output is correct
27 Correct 59 ms 10000 KB Output is correct
28 Correct 54 ms 10092 KB Output is correct
29 Correct 57 ms 10012 KB Output is correct
30 Correct 58 ms 9964 KB Output is correct
31 Incorrect 1 ms 340 KB Output isn't correct
32 Halted 0 ms 0 KB -

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 316 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 588 KB Output is correct
14 Correct 7 ms 3656 KB Output is correct
15 Correct 14 ms 6860 KB Output is correct
16 Correct 24 ms 10060 KB Output is correct
17 Correct 23 ms 10068 KB Output is correct
18 Correct 23 ms 10088 KB Output is correct
19 Correct 23 ms 10060 KB Output is correct
20 Correct 25 ms 10024 KB Output is correct
21 Correct 24 ms 10068 KB Output is correct
22 Correct 25 ms 10108 KB Output is correct
23 Correct 24 ms 10088 KB Output is correct
24 Correct 25 ms 10108 KB Output is correct
25 Correct 26 ms 10096 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 596 KB Output is correct
29 Correct 17 ms 3668 KB Output is correct
30 Correct 35 ms 6964 KB Output is correct
31 Correct 56 ms 10012 KB Output is correct
32 Correct 56 ms 9980 KB Output is correct
33 Correct 55 ms 10088 KB Output is correct
34 Correct 64 ms 10088 KB Output is correct
35 Correct 59 ms 10068 KB Output is correct
36 Correct 65 ms 10024 KB Output is correct
37 Correct 59 ms 10000 KB Output is correct
38 Correct 54 ms 10092 KB Output is correct
39 Correct 57 ms 10012 KB Output is correct
40 Correct 58 ms 9964 KB Output is correct
41 Incorrect 1 ms 340 KB Output isn't correct
42 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 316 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 588 KB Output is correct
14 Correct 7 ms 3656 KB Output is correct
15 Correct 14 ms 6860 KB Output is correct
16 Correct 24 ms 10060 KB Output is correct
17 Correct 23 ms 10068 KB Output is correct
18 Correct 23 ms 10088 KB Output is correct
19 Correct 23 ms 10060 KB Output is correct
20 Correct 25 ms 10024 KB Output is correct
21 Correct 24 ms 10068 KB Output is correct
22 Correct 25 ms 10108 KB Output is correct
23 Correct 24 ms 10088 KB Output is correct
24 Correct 25 ms 10108 KB Output is correct
25 Correct 26 ms 10096 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 596 KB Output is correct
29 Correct 17 ms 3668 KB Output is correct
30 Correct 35 ms 6964 KB Output is correct
31 Correct 56 ms 10012 KB Output is correct
32 Correct 56 ms 9980 KB Output is correct
33 Correct 55 ms 10088 KB Output is correct
34 Correct 64 ms 10088 KB Output is correct
35 Correct 59 ms 10068 KB Output is correct
36 Correct 65 ms 10024 KB Output is correct
37 Correct 59 ms 10000 KB Output is correct
38 Correct 54 ms 10092 KB Output is correct
39 Correct 57 ms 10012 KB Output is correct
40 Correct 58 ms 9964 KB Output is correct
41 Incorrect 1 ms 340 KB Output isn't correct
42 Halted 0 ms 0 KB -