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Submission #520438

# Submission time Handle Problem Language Result Execution time Memory
520438 2022-01-30T01:26:41 Z KoD Diversity (CEOI21_diversity) C++17
38 / 100
 7000 ms 13048 KB 
#include <bits/stdc++.h>

using std::vector;
using std::array;
using std::pair;
using std::tuple;

using i64 = std::int64_t;

constexpr i64 INF = std::numeric_limits<i64>::max() / 2;

template <class T> void setmin(T& lhs, const T& rhs) {
    if (lhs > rhs) {
        lhs = rhs;
    }    
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int N, Q;
    std::cin >> N >> Q;
    vector<int> A(N);
    std::map<int, int> count;
    for (auto& x : A) {
        std::cin >> x;
        count[x] += 1;
    }
    vector<int> block;
    for (const auto& [_, c] : count) {
        block.push_back(c);
    }
    std::sort(block.begin(), block.end());
    const int n = block.size();
    vector<i64> dp(N + 1, INF), next(N + 1);
    dp[0] = (i64)N * (N + 1) / 2;
    int sum = 0;
    for (int i = 0; i < n - 1; ++i) {
        std::fill(next.begin(), next.end(), INF);
        for (int l = 0; l <= sum; ++l) {
            if (dp[l] == INF) {
                continue;
            }
            const int nl = l + block[i];
            const int nr = N - (sum - l) - block[i]; 
            setmin(next[nl], dp[l] + (i64)nl * (N - nl));
            setmin(next[l], dp[l] + (i64)nr * (N - nr));
        }
        std::swap(dp, next);
        sum += block[i];
    }
    std::cout << *std::min_element(dp.begin(), dp.end()) << '\n';
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 7 ms 2380 KB Output is correct
5 Correct 14 ms 4572 KB Output is correct
6 Correct 23 ms 6856 KB Output is correct
7 Correct 21 ms 6732 KB Output is correct
8 Correct 22 ms 6732 KB Output is correct
9 Correct 25 ms 6724 KB Output is correct
10 Correct 21 ms 6724 KB Output is correct
11 Correct 22 ms 6724 KB Output is correct
12 Correct 23 ms 6840 KB Output is correct
13 Correct 26 ms 6708 KB Output is correct
14 Correct 23 ms 6708 KB Output is correct
15 Correct 22 ms 6720 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 7 ms 2380 KB Output is correct
5 Correct 14 ms 4572 KB Output is correct
6 Correct 23 ms 6856 KB Output is correct
7 Correct 21 ms 6732 KB Output is correct
8 Correct 22 ms 6732 KB Output is correct
9 Correct 25 ms 6724 KB Output is correct
10 Correct 21 ms 6724 KB Output is correct
11 Correct 22 ms 6724 KB Output is correct
12 Correct 23 ms 6840 KB Output is correct
13 Correct 26 ms 6708 KB Output is correct
14 Correct 23 ms 6708 KB Output is correct
15 Correct 22 ms 6720 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 308 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 12 ms 2468 KB Output is correct
20 Correct 20 ms 4684 KB Output is correct
21 Correct 29 ms 6980 KB Output is correct
22 Correct 29 ms 6864 KB Output is correct
23 Correct 29 ms 6984 KB Output is correct
24 Correct 31 ms 6852 KB Output is correct
25 Correct 29 ms 6844 KB Output is correct
26 Correct 30 ms 6856 KB Output is correct
27 Correct 29 ms 6852 KB Output is correct
28 Correct 29 ms 6820 KB Output is correct
29 Correct 30 ms 6844 KB Output is correct
30 Correct 30 ms 6888 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 7 ms 2380 KB Output is correct
5 Correct 14 ms 4572 KB Output is correct
6 Correct 23 ms 6856 KB Output is correct
7 Correct 21 ms 6732 KB Output is correct
8 Correct 22 ms 6732 KB Output is correct
9 Correct 25 ms 6724 KB Output is correct
10 Correct 21 ms 6724 KB Output is correct
11 Correct 22 ms 6724 KB Output is correct
12 Correct 23 ms 6840 KB Output is correct
13 Correct 26 ms 6708 KB Output is correct
14 Correct 23 ms 6708 KB Output is correct
15 Correct 22 ms 6720 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 308 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 12 ms 2468 KB Output is correct
20 Correct 20 ms 4684 KB Output is correct
21 Correct 29 ms 6980 KB Output is correct
22 Correct 29 ms 6864 KB Output is correct
23 Correct 29 ms 6984 KB Output is correct
24 Correct 31 ms 6852 KB Output is correct
25 Correct 29 ms 6844 KB Output is correct
26 Correct 30 ms 6856 KB Output is correct
27 Correct 29 ms 6852 KB Output is correct
28 Correct 29 ms 6820 KB Output is correct
29 Correct 30 ms 6844 KB Output is correct
30 Correct 30 ms 6888 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 260 KB Output is correct
34 Correct 3 ms 448 KB Output is correct
35 Correct 4 ms 536 KB Output is correct
36 Correct 11 ms 580 KB Output is correct
37 Correct 27 ms 1500 KB Output is correct
38 Correct 57 ms 1540 KB Output is correct
39 Correct 102 ms 2720 KB Output is correct
40 Correct 263 ms 4976 KB Output is correct
41 Correct 305 ms 7372 KB Output is correct
42 Correct 304 ms 7384 KB Output is correct
43 Correct 285 ms 7364 KB Output is correct
44 Correct 322 ms 7400 KB Output is correct
45 Correct 298 ms 7376 KB Output is correct
46 Correct 308 ms 7376 KB Output is correct
47 Correct 300 ms 7384 KB Output is correct
48 Correct 301 ms 7400 KB Output is correct
49 Correct 329 ms 7268 KB Output is correct
50 Correct 322 ms 7364 KB Output is correct
51 Correct 291 ms 7256 KB Output is correct
52 Correct 309 ms 7372 KB Output is correct
53 Correct 292 ms 7268 KB Output is correct
54 Correct 287 ms 7268 KB Output is correct
55 Correct 293 ms 7272 KB Output is correct
56 Correct 293 ms 7272 KB Output is correct
57 Correct 308 ms 7380 KB Output is correct
58 Correct 288 ms 7264 KB Output is correct
59 Correct 287 ms 7264 KB Output is correct
60 Correct 291 ms 7284 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 7 ms 2380 KB Output is correct
15 Correct 14 ms 4572 KB Output is correct
16 Correct 23 ms 6856 KB Output is correct
17 Correct 21 ms 6732 KB Output is correct
18 Correct 22 ms 6732 KB Output is correct
19 Correct 25 ms 6724 KB Output is correct
20 Correct 21 ms 6724 KB Output is correct
21 Correct 22 ms 6724 KB Output is correct
22 Correct 23 ms 6840 KB Output is correct
23 Correct 26 ms 6708 KB Output is correct
24 Correct 23 ms 6708 KB Output is correct
25 Correct 22 ms 6720 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 308 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 12 ms 2468 KB Output is correct
30 Correct 20 ms 4684 KB Output is correct
31 Correct 29 ms 6980 KB Output is correct
32 Correct 29 ms 6864 KB Output is correct
33 Correct 29 ms 6984 KB Output is correct
34 Correct 31 ms 6852 KB Output is correct
35 Correct 29 ms 6844 KB Output is correct
36 Correct 30 ms 6856 KB Output is correct
37 Correct 29 ms 6852 KB Output is correct
38 Correct 29 ms 6820 KB Output is correct
39 Correct 30 ms 6844 KB Output is correct
40 Correct 30 ms 6888 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 260 KB Output is correct
44 Correct 3 ms 448 KB Output is correct
45 Correct 4 ms 536 KB Output is correct
46 Correct 11 ms 580 KB Output is correct
47 Correct 27 ms 1500 KB Output is correct
48 Correct 57 ms 1540 KB Output is correct
49 Correct 102 ms 2720 KB Output is correct
50 Correct 263 ms 4976 KB Output is correct
51 Correct 305 ms 7372 KB Output is correct
52 Correct 304 ms 7384 KB Output is correct
53 Correct 285 ms 7364 KB Output is correct
54 Correct 322 ms 7400 KB Output is correct
55 Correct 298 ms 7376 KB Output is correct
56 Correct 308 ms 7376 KB Output is correct
57 Correct 300 ms 7384 KB Output is correct
58 Correct 301 ms 7400 KB Output is correct
59 Correct 329 ms 7268 KB Output is correct
60 Correct 322 ms 7364 KB Output is correct
61 Correct 291 ms 7256 KB Output is correct
62 Correct 309 ms 7372 KB Output is correct
63 Correct 292 ms 7268 KB Output is correct
64 Correct 287 ms 7268 KB Output is correct
65 Correct 293 ms 7272 KB Output is correct
66 Correct 293 ms 7272 KB Output is correct
67 Correct 308 ms 7380 KB Output is correct
68 Correct 288 ms 7264 KB Output is correct
69 Correct 287 ms 7264 KB Output is correct
70 Correct 291 ms 7284 KB Output is correct
71 Correct 94 ms 1576 KB Output is correct
72 Correct 106 ms 1620 KB Output is correct
73 Correct 106 ms 1620 KB Output is correct
74 Correct 95 ms 1596 KB Output is correct
75 Correct 93 ms 1612 KB Output is correct
76 Correct 451 ms 3064 KB Output is correct
77 Correct 459 ms 3032 KB Output is correct
78 Correct 464 ms 3032 KB Output is correct
79 Correct 490 ms 3032 KB Output is correct
80 Correct 471 ms 3112 KB Output is correct
81 Correct 1813 ms 5752 KB Output is correct
82 Correct 1777 ms 5760 KB Output is correct
83 Correct 1782 ms 5752 KB Output is correct
84 Correct 1787 ms 5760 KB Output is correct
85 Correct 1747 ms 5760 KB Output is correct
86 Correct 3656 ms 6516 KB Output is correct
87 Correct 3599 ms 6468 KB Output is correct
88 Correct 3566 ms 6468 KB Output is correct
89 Correct 3546 ms 6468 KB Output is correct
90 Correct 3617 ms 6428 KB Output is correct
91 Execution timed out 7058 ms 13048 KB Time limit exceeded
92 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 7 ms 2380 KB Output is correct
15 Correct 14 ms 4572 KB Output is correct
16 Correct 23 ms 6856 KB Output is correct
17 Correct 21 ms 6732 KB Output is correct
18 Correct 22 ms 6732 KB Output is correct
19 Correct 25 ms 6724 KB Output is correct
20 Correct 21 ms 6724 KB Output is correct
21 Correct 22 ms 6724 KB Output is correct
22 Correct 23 ms 6840 KB Output is correct
23 Correct 26 ms 6708 KB Output is correct
24 Correct 23 ms 6708 KB Output is correct
25 Correct 22 ms 6720 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 308 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 12 ms 2468 KB Output is correct
30 Correct 20 ms 4684 KB Output is correct
31 Correct 29 ms 6980 KB Output is correct
32 Correct 29 ms 6864 KB Output is correct
33 Correct 29 ms 6984 KB Output is correct
34 Correct 31 ms 6852 KB Output is correct
35 Correct 29 ms 6844 KB Output is correct
36 Correct 30 ms 6856 KB Output is correct
37 Correct 29 ms 6852 KB Output is correct
38 Correct 29 ms 6820 KB Output is correct
39 Correct 30 ms 6844 KB Output is correct
40 Correct 30 ms 6888 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 260 KB Output is correct
44 Correct 3 ms 448 KB Output is correct
45 Correct 4 ms 536 KB Output is correct
46 Correct 11 ms 580 KB Output is correct
47 Correct 27 ms 1500 KB Output is correct
48 Correct 57 ms 1540 KB Output is correct
49 Correct 102 ms 2720 KB Output is correct
50 Correct 263 ms 4976 KB Output is correct
51 Correct 305 ms 7372 KB Output is correct
52 Correct 304 ms 7384 KB Output is correct
53 Correct 285 ms 7364 KB Output is correct
54 Correct 322 ms 7400 KB Output is correct
55 Correct 298 ms 7376 KB Output is correct
56 Correct 308 ms 7376 KB Output is correct
57 Correct 300 ms 7384 KB Output is correct
58 Correct 301 ms 7400 KB Output is correct
59 Correct 329 ms 7268 KB Output is correct
60 Correct 322 ms 7364 KB Output is correct
61 Correct 291 ms 7256 KB Output is correct
62 Correct 309 ms 7372 KB Output is correct
63 Correct 292 ms 7268 KB Output is correct
64 Correct 287 ms 7268 KB Output is correct
65 Correct 293 ms 7272 KB Output is correct
66 Correct 293 ms 7272 KB Output is correct
67 Correct 308 ms 7380 KB Output is correct
68 Correct 288 ms 7264 KB Output is correct
69 Correct 287 ms 7264 KB Output is correct
70 Correct 291 ms 7284 KB Output is correct
71 Correct 94 ms 1576 KB Output is correct
72 Correct 106 ms 1620 KB Output is correct
73 Correct 106 ms 1620 KB Output is correct
74 Correct 95 ms 1596 KB Output is correct
75 Correct 93 ms 1612 KB Output is correct
76 Correct 451 ms 3064 KB Output is correct
77 Correct 459 ms 3032 KB Output is correct
78 Correct 464 ms 3032 KB Output is correct
79 Correct 490 ms 3032 KB Output is correct
80 Correct 471 ms 3112 KB Output is correct
81 Correct 1813 ms 5752 KB Output is correct
82 Correct 1777 ms 5760 KB Output is correct
83 Correct 1782 ms 5752 KB Output is correct
84 Correct 1787 ms 5760 KB Output is correct
85 Correct 1747 ms 5760 KB Output is correct
86 Correct 3656 ms 6516 KB Output is correct
87 Correct 3599 ms 6468 KB Output is correct
88 Correct 3566 ms 6468 KB Output is correct
89 Correct 3546 ms 6468 KB Output is correct
90 Correct 3617 ms 6428 KB Output is correct
91 Execution timed out 7058 ms 13048 KB Time limit exceeded
92 Halted 0 ms 0 KB -