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Submission #798592

# Submission time Handle Problem Language Result Execution time Memory
798592 2023-07-30T21:16:31 Z Johann Diversity (CEOI21_diversity) C++14
38 / 100
 7000 ms 12108 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<ll, ll> 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 (ll 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 (ll 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 316 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 300 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 316 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 8 ms 3624 KB Output is correct
5 Correct 15 ms 6856 KB Output is correct
6 Correct 24 ms 10136 KB Output is correct
7 Correct 22 ms 10196 KB Output is correct
8 Correct 24 ms 10224 KB Output is correct
9 Correct 27 ms 10164 KB Output is correct
10 Correct 23 ms 10224 KB Output is correct
11 Correct 23 ms 10232 KB Output is correct
12 Correct 24 ms 10196 KB Output is correct
13 Correct 24 ms 10164 KB Output is correct
14 Correct 23 ms 10120 KB Output is correct
15 Correct 30 ms 10124 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 8 ms 3624 KB Output is correct
5 Correct 15 ms 6856 KB Output is correct
6 Correct 24 ms 10136 KB Output is correct
7 Correct 22 ms 10196 KB Output is correct
8 Correct 24 ms 10224 KB Output is correct
9 Correct 27 ms 10164 KB Output is correct
10 Correct 23 ms 10224 KB Output is correct
11 Correct 23 ms 10232 KB Output is correct
12 Correct 24 ms 10196 KB Output is correct
13 Correct 24 ms 10164 KB Output is correct
14 Correct 23 ms 10120 KB Output is correct
15 Correct 30 ms 10124 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 6940 KB Output is correct
21 Correct 57 ms 10432 KB Output is correct
22 Correct 60 ms 10228 KB Output is correct
23 Correct 61 ms 10120 KB Output is correct
24 Correct 60 ms 10204 KB Output is correct
25 Correct 58 ms 10196 KB Output is correct
26 Correct 59 ms 10224 KB Output is correct
27 Correct 64 ms 10348 KB Output is correct
28 Correct 67 ms 10220 KB Output is correct
29 Correct 60 ms 10192 KB Output is correct
30 Correct 58 ms 10220 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 8 ms 3624 KB Output is correct
5 Correct 15 ms 6856 KB Output is correct
6 Correct 24 ms 10136 KB Output is correct
7 Correct 22 ms 10196 KB Output is correct
8 Correct 24 ms 10224 KB Output is correct
9 Correct 27 ms 10164 KB Output is correct
10 Correct 23 ms 10224 KB Output is correct
11 Correct 23 ms 10232 KB Output is correct
12 Correct 24 ms 10196 KB Output is correct
13 Correct 24 ms 10164 KB Output is correct
14 Correct 23 ms 10120 KB Output is correct
15 Correct 30 ms 10124 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 6940 KB Output is correct
21 Correct 57 ms 10432 KB Output is correct
22 Correct 60 ms 10228 KB Output is correct
23 Correct 61 ms 10120 KB Output is correct
24 Correct 60 ms 10204 KB Output is correct
25 Correct 58 ms 10196 KB Output is correct
26 Correct 59 ms 10224 KB Output is correct
27 Correct 64 ms 10348 KB Output is correct
28 Correct 67 ms 10220 KB Output is correct
29 Correct 60 ms 10192 KB Output is correct
30 Correct 58 ms 10220 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 9 ms 672 KB Output is correct
35 Correct 15 ms 596 KB Output is correct
36 Correct 18 ms 596 KB Output is correct
37 Correct 154 ms 2132 KB Output is correct
38 Correct 193 ms 2092 KB Output is correct
39 Correct 469 ms 3864 KB Output is correct
40 Correct 1285 ms 7380 KB Output is correct
41 Correct 2110 ms 10896 KB Output is correct
42 Correct 2051 ms 10904 KB Output is correct
43 Correct 2082 ms 10896 KB Output is correct
44 Correct 2077 ms 10904 KB Output is correct
45 Correct 2102 ms 10892 KB Output is correct
46 Correct 2057 ms 10904 KB Output is correct
47 Correct 2106 ms 10892 KB Output is correct
48 Correct 2078 ms 10888 KB Output is correct
49 Correct 2123 ms 10956 KB Output is correct
50 Correct 2020 ms 10896 KB Output is correct
51 Correct 2009 ms 10900 KB Output is correct
52 Correct 2047 ms 10888 KB Output is correct
53 Correct 2097 ms 10896 KB Output is correct
54 Correct 1957 ms 10892 KB Output is correct
55 Correct 2088 ms 10892 KB Output is correct
56 Correct 2105 ms 10892 KB Output is correct
57 Correct 2192 ms 10836 KB Output is correct
58 Correct 2102 ms 10892 KB Output is correct
59 Correct 1989 ms 10892 KB Output is correct
60 Correct 2098 ms 10892 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 300 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 316 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 324 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 8 ms 3624 KB Output is correct
15 Correct 15 ms 6856 KB Output is correct
16 Correct 24 ms 10136 KB Output is correct
17 Correct 22 ms 10196 KB Output is correct
18 Correct 24 ms 10224 KB Output is correct
19 Correct 27 ms 10164 KB Output is correct
20 Correct 23 ms 10224 KB Output is correct
21 Correct 23 ms 10232 KB Output is correct
22 Correct 24 ms 10196 KB Output is correct
23 Correct 24 ms 10164 KB Output is correct
24 Correct 23 ms 10120 KB Output is correct
25 Correct 30 ms 10124 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 6940 KB Output is correct
31 Correct 57 ms 10432 KB Output is correct
32 Correct 60 ms 10228 KB Output is correct
33 Correct 61 ms 10120 KB Output is correct
34 Correct 60 ms 10204 KB Output is correct
35 Correct 58 ms 10196 KB Output is correct
36 Correct 59 ms 10224 KB Output is correct
37 Correct 64 ms 10348 KB Output is correct
38 Correct 67 ms 10220 KB Output is correct
39 Correct 60 ms 10192 KB Output is correct
40 Correct 58 ms 10220 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 9 ms 672 KB Output is correct
45 Correct 15 ms 596 KB Output is correct
46 Correct 18 ms 596 KB Output is correct
47 Correct 154 ms 2132 KB Output is correct
48 Correct 193 ms 2092 KB Output is correct
49 Correct 469 ms 3864 KB Output is correct
50 Correct 1285 ms 7380 KB Output is correct
51 Correct 2110 ms 10896 KB Output is correct
52 Correct 2051 ms 10904 KB Output is correct
53 Correct 2082 ms 10896 KB Output is correct
54 Correct 2077 ms 10904 KB Output is correct
55 Correct 2102 ms 10892 KB Output is correct
56 Correct 2057 ms 10904 KB Output is correct
57 Correct 2106 ms 10892 KB Output is correct
58 Correct 2078 ms 10888 KB Output is correct
59 Correct 2123 ms 10956 KB Output is correct
60 Correct 2020 ms 10896 KB Output is correct
61 Correct 2009 ms 10900 KB Output is correct
62 Correct 2047 ms 10888 KB Output is correct
63 Correct 2097 ms 10896 KB Output is correct
64 Correct 1957 ms 10892 KB Output is correct
65 Correct 2088 ms 10892 KB Output is correct
66 Correct 2105 ms 10892 KB Output is correct
67 Correct 2192 ms 10836 KB Output is correct
68 Correct 2102 ms 10892 KB Output is correct
69 Correct 1989 ms 10892 KB Output is correct
70 Correct 2098 ms 10892 KB Output is correct
71 Correct 207 ms 2144 KB Output is correct
72 Correct 196 ms 2152 KB Output is correct
73 Correct 195 ms 2120 KB Output is correct
74 Correct 202 ms 2148 KB Output is correct
75 Correct 198 ms 2272 KB Output is correct
76 Correct 665 ms 4000 KB Output is correct
77 Correct 678 ms 3980 KB Output is correct
78 Correct 677 ms 4000 KB Output is correct
79 Correct 682 ms 4004 KB Output is correct
80 Correct 668 ms 3992 KB Output is correct
81 Correct 2317 ms 7648 KB Output is correct
82 Correct 2360 ms 7648 KB Output is correct
83 Correct 2312 ms 7652 KB Output is correct
84 Correct 2339 ms 7884 KB Output is correct
85 Correct 2364 ms 7776 KB Output is correct
86 Correct 4118 ms 7844 KB Output is correct
87 Correct 4139 ms 7836 KB Output is correct
88 Correct 4115 ms 7840 KB Output is correct
89 Correct 4083 ms 7840 KB Output is correct
90 Correct 4113 ms 7840 KB Output is correct
91 Execution timed out 7039 ms 12108 KB Time limit exceeded
92 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 316 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 300 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 316 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 324 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 8 ms 3624 KB Output is correct
15 Correct 15 ms 6856 KB Output is correct
16 Correct 24 ms 10136 KB Output is correct
17 Correct 22 ms 10196 KB Output is correct
18 Correct 24 ms 10224 KB Output is correct
19 Correct 27 ms 10164 KB Output is correct
20 Correct 23 ms 10224 KB Output is correct
21 Correct 23 ms 10232 KB Output is correct
22 Correct 24 ms 10196 KB Output is correct
23 Correct 24 ms 10164 KB Output is correct
24 Correct 23 ms 10120 KB Output is correct
25 Correct 30 ms 10124 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 6940 KB Output is correct
31 Correct 57 ms 10432 KB Output is correct
32 Correct 60 ms 10228 KB Output is correct
33 Correct 61 ms 10120 KB Output is correct
34 Correct 60 ms 10204 KB Output is correct
35 Correct 58 ms 10196 KB Output is correct
36 Correct 59 ms 10224 KB Output is correct
37 Correct 64 ms 10348 KB Output is correct
38 Correct 67 ms 10220 KB Output is correct
39 Correct 60 ms 10192 KB Output is correct
40 Correct 58 ms 10220 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 9 ms 672 KB Output is correct
45 Correct 15 ms 596 KB Output is correct
46 Correct 18 ms 596 KB Output is correct
47 Correct 154 ms 2132 KB Output is correct
48 Correct 193 ms 2092 KB Output is correct
49 Correct 469 ms 3864 KB Output is correct
50 Correct 1285 ms 7380 KB Output is correct
51 Correct 2110 ms 10896 KB Output is correct
52 Correct 2051 ms 10904 KB Output is correct
53 Correct 2082 ms 10896 KB Output is correct
54 Correct 2077 ms 10904 KB Output is correct
55 Correct 2102 ms 10892 KB Output is correct
56 Correct 2057 ms 10904 KB Output is correct
57 Correct 2106 ms 10892 KB Output is correct
58 Correct 2078 ms 10888 KB Output is correct
59 Correct 2123 ms 10956 KB Output is correct
60 Correct 2020 ms 10896 KB Output is correct
61 Correct 2009 ms 10900 KB Output is correct
62 Correct 2047 ms 10888 KB Output is correct
63 Correct 2097 ms 10896 KB Output is correct
64 Correct 1957 ms 10892 KB Output is correct
65 Correct 2088 ms 10892 KB Output is correct
66 Correct 2105 ms 10892 KB Output is correct
67 Correct 2192 ms 10836 KB Output is correct
68 Correct 2102 ms 10892 KB Output is correct
69 Correct 1989 ms 10892 KB Output is correct
70 Correct 2098 ms 10892 KB Output is correct
71 Correct 207 ms 2144 KB Output is correct
72 Correct 196 ms 2152 KB Output is correct
73 Correct 195 ms 2120 KB Output is correct
74 Correct 202 ms 2148 KB Output is correct
75 Correct 198 ms 2272 KB Output is correct
76 Correct 665 ms 4000 KB Output is correct
77 Correct 678 ms 3980 KB Output is correct
78 Correct 677 ms 4000 KB Output is correct
79 Correct 682 ms 4004 KB Output is correct
80 Correct 668 ms 3992 KB Output is correct
81 Correct 2317 ms 7648 KB Output is correct
82 Correct 2360 ms 7648 KB Output is correct
83 Correct 2312 ms 7652 KB Output is correct
84 Correct 2339 ms 7884 KB Output is correct
85 Correct 2364 ms 7776 KB Output is correct
86 Correct 4118 ms 7844 KB Output is correct
87 Correct 4139 ms 7836 KB Output is correct
88 Correct 4115 ms 7840 KB Output is correct
89 Correct 4083 ms 7840 KB Output is correct
90 Correct 4113 ms 7840 KB Output is correct
91 Execution timed out 7039 ms 12108 KB Time limit exceeded
92 Halted 0 ms 0 KB -