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Submission #798561

# Submission time Handle Problem Language Result Execution time Memory
798561 2023-07-30T20:36:10 Z Johann Diversity (CEOI21_diversity) C++14
38 / 100
 7000 ms 13896 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;
        ll n = r - l;

        A = vi(AA.begin() + l, AA.begin() + r);

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

        vi pref(sz(cnts));
        partial_sum(all(cnts), pref.begin());

        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;

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

            ll x = cnts[j];
            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 (ll left = 0; left < sz(dp[ii]); ++left)
            {
                ll tmp = dp[ii][left];
                if (tmp == INF)
                    continue;
                tmp -= subsure;
                // left
                dp[ni][left + x] = min(dp[ni][left + x], tmp - (x - 1) * left * (n - left - x));
                // right
                ll right = pref[j] - x - left;
                dp[ni][left] = min(dp[ni][left], tmp - (x - 1) * right * (n - right - x));
            }
        }
        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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 0 ms 212 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 1 ms 212 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 6 ms 3540 KB Output is correct
5 Correct 12 ms 6904 KB Output is correct
6 Correct 19 ms 10324 KB Output is correct
7 Correct 19 ms 10184 KB Output is correct
8 Correct 19 ms 10324 KB Output is correct
9 Correct 19 ms 10324 KB Output is correct
10 Correct 19 ms 10348 KB Output is correct
11 Correct 20 ms 10344 KB Output is correct
12 Correct 20 ms 10368 KB Output is correct
13 Correct 19 ms 10284 KB Output is correct
14 Correct 19 ms 10324 KB Output is correct
15 Correct 19 ms 10340 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 320 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 6 ms 3540 KB Output is correct
5 Correct 12 ms 6904 KB Output is correct
6 Correct 19 ms 10324 KB Output is correct
7 Correct 19 ms 10184 KB Output is correct
8 Correct 19 ms 10324 KB Output is correct
9 Correct 19 ms 10324 KB Output is correct
10 Correct 19 ms 10348 KB Output is correct
11 Correct 20 ms 10344 KB Output is correct
12 Correct 20 ms 10368 KB Output is correct
13 Correct 19 ms 10284 KB Output is correct
14 Correct 19 ms 10324 KB Output is correct
15 Correct 19 ms 10340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 596 KB Output is correct
19 Correct 9 ms 3796 KB Output is correct
20 Correct 17 ms 7004 KB Output is correct
21 Correct 28 ms 10468 KB Output is correct
22 Correct 26 ms 10488 KB Output is correct
23 Correct 27 ms 10380 KB Output is correct
24 Correct 26 ms 10364 KB Output is correct
25 Correct 26 ms 10472 KB Output is correct
26 Correct 27 ms 10472 KB Output is correct
27 Correct 26 ms 10468 KB Output is correct
28 Correct 26 ms 10416 KB Output is correct
29 Correct 26 ms 10444 KB Output is correct
30 Correct 26 ms 10512 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 6 ms 3540 KB Output is correct
5 Correct 12 ms 6904 KB Output is correct
6 Correct 19 ms 10324 KB Output is correct
7 Correct 19 ms 10184 KB Output is correct
8 Correct 19 ms 10324 KB Output is correct
9 Correct 19 ms 10324 KB Output is correct
10 Correct 19 ms 10348 KB Output is correct
11 Correct 20 ms 10344 KB Output is correct
12 Correct 20 ms 10368 KB Output is correct
13 Correct 19 ms 10284 KB Output is correct
14 Correct 19 ms 10324 KB Output is correct
15 Correct 19 ms 10340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 596 KB Output is correct
19 Correct 9 ms 3796 KB Output is correct
20 Correct 17 ms 7004 KB Output is correct
21 Correct 28 ms 10468 KB Output is correct
22 Correct 26 ms 10488 KB Output is correct
23 Correct 27 ms 10380 KB Output is correct
24 Correct 26 ms 10364 KB Output is correct
25 Correct 26 ms 10472 KB Output is correct
26 Correct 27 ms 10472 KB Output is correct
27 Correct 26 ms 10468 KB Output is correct
28 Correct 26 ms 10416 KB Output is correct
29 Correct 26 ms 10444 KB Output is correct
30 Correct 26 ms 10512 KB Output is correct
31 Correct 1 ms 320 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 3 ms 560 KB Output is correct
35 Correct 4 ms 596 KB Output is correct
36 Correct 15 ms 660 KB Output is correct
37 Correct 37 ms 2004 KB Output is correct
38 Correct 72 ms 1996 KB Output is correct
39 Correct 146 ms 3864 KB Output is correct
40 Correct 290 ms 7264 KB Output is correct
41 Correct 435 ms 10880 KB Output is correct
42 Correct 432 ms 10888 KB Output is correct
43 Correct 420 ms 10836 KB Output is correct
44 Correct 437 ms 10884 KB Output is correct
45 Correct 424 ms 10876 KB Output is correct
46 Correct 425 ms 10852 KB Output is correct
47 Correct 436 ms 10896 KB Output is correct
48 Correct 423 ms 10856 KB Output is correct
49 Correct 468 ms 10880 KB Output is correct
50 Correct 428 ms 10756 KB Output is correct
51 Correct 440 ms 10888 KB Output is correct
52 Correct 430 ms 10876 KB Output is correct
53 Correct 431 ms 10880 KB Output is correct
54 Correct 426 ms 10884 KB Output is correct
55 Correct 427 ms 10836 KB Output is correct
56 Correct 441 ms 10884 KB Output is correct
57 Correct 428 ms 10836 KB Output is correct
58 Correct 438 ms 10892 KB Output is correct
59 Correct 426 ms 10888 KB Output is correct
60 Correct 434 ms 10872 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 6 ms 3540 KB Output is correct
15 Correct 12 ms 6904 KB Output is correct
16 Correct 19 ms 10324 KB Output is correct
17 Correct 19 ms 10184 KB Output is correct
18 Correct 19 ms 10324 KB Output is correct
19 Correct 19 ms 10324 KB Output is correct
20 Correct 19 ms 10348 KB Output is correct
21 Correct 20 ms 10344 KB Output is correct
22 Correct 20 ms 10368 KB Output is correct
23 Correct 19 ms 10284 KB Output is correct
24 Correct 19 ms 10324 KB Output is correct
25 Correct 19 ms 10340 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 9 ms 3796 KB Output is correct
30 Correct 17 ms 7004 KB Output is correct
31 Correct 28 ms 10468 KB Output is correct
32 Correct 26 ms 10488 KB Output is correct
33 Correct 27 ms 10380 KB Output is correct
34 Correct 26 ms 10364 KB Output is correct
35 Correct 26 ms 10472 KB Output is correct
36 Correct 27 ms 10472 KB Output is correct
37 Correct 26 ms 10468 KB Output is correct
38 Correct 26 ms 10416 KB Output is correct
39 Correct 26 ms 10444 KB Output is correct
40 Correct 26 ms 10512 KB Output is correct
41 Correct 1 ms 320 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 3 ms 560 KB Output is correct
45 Correct 4 ms 596 KB Output is correct
46 Correct 15 ms 660 KB Output is correct
47 Correct 37 ms 2004 KB Output is correct
48 Correct 72 ms 1996 KB Output is correct
49 Correct 146 ms 3864 KB Output is correct
50 Correct 290 ms 7264 KB Output is correct
51 Correct 435 ms 10880 KB Output is correct
52 Correct 432 ms 10888 KB Output is correct
53 Correct 420 ms 10836 KB Output is correct
54 Correct 437 ms 10884 KB Output is correct
55 Correct 424 ms 10876 KB Output is correct
56 Correct 425 ms 10852 KB Output is correct
57 Correct 436 ms 10896 KB Output is correct
58 Correct 423 ms 10856 KB Output is correct
59 Correct 468 ms 10880 KB Output is correct
60 Correct 428 ms 10756 KB Output is correct
61 Correct 440 ms 10888 KB Output is correct
62 Correct 430 ms 10876 KB Output is correct
63 Correct 431 ms 10880 KB Output is correct
64 Correct 426 ms 10884 KB Output is correct
65 Correct 427 ms 10836 KB Output is correct
66 Correct 441 ms 10884 KB Output is correct
67 Correct 428 ms 10836 KB Output is correct
68 Correct 438 ms 10892 KB Output is correct
69 Correct 426 ms 10888 KB Output is correct
70 Correct 434 ms 10872 KB Output is correct
71 Correct 140 ms 2132 KB Output is correct
72 Correct 144 ms 2168 KB Output is correct
73 Correct 144 ms 2164 KB Output is correct
74 Correct 143 ms 2168 KB Output is correct
75 Correct 142 ms 2132 KB Output is correct
76 Correct 691 ms 4068 KB Output is correct
77 Correct 713 ms 4072 KB Output is correct
78 Correct 708 ms 4088 KB Output is correct
79 Correct 689 ms 4052 KB Output is correct
80 Correct 698 ms 4068 KB Output is correct
81 Correct 2827 ms 7824 KB Output is correct
82 Correct 2838 ms 7828 KB Output is correct
83 Correct 2757 ms 7824 KB Output is correct
84 Correct 2807 ms 7820 KB Output is correct
85 Correct 2761 ms 7828 KB Output is correct
86 Correct 5543 ms 8256 KB Output is correct
87 Correct 5540 ms 8264 KB Output is correct
88 Correct 5559 ms 8256 KB Output is correct
89 Correct 5564 ms 8256 KB Output is correct
90 Correct 5632 ms 8260 KB Output is correct
91 Execution timed out 7072 ms 13896 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 300 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 6 ms 3540 KB Output is correct
15 Correct 12 ms 6904 KB Output is correct
16 Correct 19 ms 10324 KB Output is correct
17 Correct 19 ms 10184 KB Output is correct
18 Correct 19 ms 10324 KB Output is correct
19 Correct 19 ms 10324 KB Output is correct
20 Correct 19 ms 10348 KB Output is correct
21 Correct 20 ms 10344 KB Output is correct
22 Correct 20 ms 10368 KB Output is correct
23 Correct 19 ms 10284 KB Output is correct
24 Correct 19 ms 10324 KB Output is correct
25 Correct 19 ms 10340 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 9 ms 3796 KB Output is correct
30 Correct 17 ms 7004 KB Output is correct
31 Correct 28 ms 10468 KB Output is correct
32 Correct 26 ms 10488 KB Output is correct
33 Correct 27 ms 10380 KB Output is correct
34 Correct 26 ms 10364 KB Output is correct
35 Correct 26 ms 10472 KB Output is correct
36 Correct 27 ms 10472 KB Output is correct
37 Correct 26 ms 10468 KB Output is correct
38 Correct 26 ms 10416 KB Output is correct
39 Correct 26 ms 10444 KB Output is correct
40 Correct 26 ms 10512 KB Output is correct
41 Correct 1 ms 320 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 3 ms 560 KB Output is correct
45 Correct 4 ms 596 KB Output is correct
46 Correct 15 ms 660 KB Output is correct
47 Correct 37 ms 2004 KB Output is correct
48 Correct 72 ms 1996 KB Output is correct
49 Correct 146 ms 3864 KB Output is correct
50 Correct 290 ms 7264 KB Output is correct
51 Correct 435 ms 10880 KB Output is correct
52 Correct 432 ms 10888 KB Output is correct
53 Correct 420 ms 10836 KB Output is correct
54 Correct 437 ms 10884 KB Output is correct
55 Correct 424 ms 10876 KB Output is correct
56 Correct 425 ms 10852 KB Output is correct
57 Correct 436 ms 10896 KB Output is correct
58 Correct 423 ms 10856 KB Output is correct
59 Correct 468 ms 10880 KB Output is correct
60 Correct 428 ms 10756 KB Output is correct
61 Correct 440 ms 10888 KB Output is correct
62 Correct 430 ms 10876 KB Output is correct
63 Correct 431 ms 10880 KB Output is correct
64 Correct 426 ms 10884 KB Output is correct
65 Correct 427 ms 10836 KB Output is correct
66 Correct 441 ms 10884 KB Output is correct
67 Correct 428 ms 10836 KB Output is correct
68 Correct 438 ms 10892 KB Output is correct
69 Correct 426 ms 10888 KB Output is correct
70 Correct 434 ms 10872 KB Output is correct
71 Correct 140 ms 2132 KB Output is correct
72 Correct 144 ms 2168 KB Output is correct
73 Correct 144 ms 2164 KB Output is correct
74 Correct 143 ms 2168 KB Output is correct
75 Correct 142 ms 2132 KB Output is correct
76 Correct 691 ms 4068 KB Output is correct
77 Correct 713 ms 4072 KB Output is correct
78 Correct 708 ms 4088 KB Output is correct
79 Correct 689 ms 4052 KB Output is correct
80 Correct 698 ms 4068 KB Output is correct
81 Correct 2827 ms 7824 KB Output is correct
82 Correct 2838 ms 7828 KB Output is correct
83 Correct 2757 ms 7824 KB Output is correct
84 Correct 2807 ms 7820 KB Output is correct
85 Correct 2761 ms 7828 KB Output is correct
86 Correct 5543 ms 8256 KB Output is correct
87 Correct 5540 ms 8264 KB Output is correct
88 Correct 5559 ms 8256 KB Output is correct
89 Correct 5564 ms 8256 KB Output is correct
90 Correct 5632 ms 8260 KB Output is correct
91 Execution timed out 7072 ms 13896 KB Time limit exceeded
92 Halted 0 ms 0 KB -