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Submission #520484

# Submission time Handle Problem Language Result Execution time Memory
520484 2022-01-30T07:07:39 Z KoD Diversity (CEOI21_diversity) C++17
64 / 100
 631 ms 5976 KB 
#include <bits/stdc++.h>

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

using i64 = std::int64_t;

constexpr int B = 600;
constexpr int MAX = 300000;

constexpr i64 sum_k(const int n) {
    return (i64)n * (n + 1) / 2;
}
 
constexpr i64 sum_k2(const int n) {
    return (i64)n * (n + 1) * (2 * n + 1) / 6;
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int N, Q;
    std::cin >> N >> Q;
    vector<int> A(N);
    for (auto& x : A) {
        std::cin >> x;
        x -= 1;
    }
    vector<vector<int>> query((N + B - 1) / B);
    vector<int> L(Q), R(Q);
    for (int i = 0; i < Q; ++i) {
        std::cin >> L[i] >> R[i];
        L[i] -= 1;
        query[L[i] / B].push_back(i);
    }
    vector<i64> ans(Q);
    vector<int> count(MAX), block(N + 1), nonzero;
    const auto change = [&](const int x, const int c) {
        block[count[x]] -= 1;
        count[x] += c;
        if (count[x] != 0 and block[count[x]] == 0) {
            nonzero.push_back(count[x]);
        }
        block[count[x]] += 1;
    };
    for (auto& qidx : query) {
        if (qidx.empty()) {
            continue;
        }
        std::sort(qidx.begin(), qidx.end(), [&](const int i, const int j) {
            return R[i] < R[j]; 
        });
        int l = N, r = N;
        for (const int q : qidx) {
            while (l < L[q]) {
                change(A[l++], -1);
            }
            while (l > L[q]) {
                change(A[--l], 1);
            }
            while (r < R[q]) {
                change(A[r++], 1);
            }
            std::sort(nonzero.begin(), nonzero.end());
            nonzero.erase(std::unique(nonzero.begin(), nonzero.end()), nonzero.end());
            const int len = R[q] - L[q];
            ans[q] = sum_k(len);
            const auto add_to = [&](const i64 s, const int a, const int n) {
                ans[q] += (n * s + sum_k(n) * a) * len;
                ans[q] -= n * s * s + 2 * s * sum_k(n) * a + sum_k2(n) * a * a;
            };
            int left = 0, right = 0;
            vector<int> next;
            for (const int a : nonzero) {
                const int b = block[a];
                if (b == 0) {
                    continue;
                }
                next.push_back(a);
                if (left > right) {
                    std::swap(left, right);
                }
                const int need = std::min(b, (right - left + a - 1) / a);
                const int to_left = need + (b - need) / 2;
                const int to_right = b - to_left;
                add_to(left, a, to_left);
                add_to(right, a, to_right);
                left += a * to_left;
                right += a * to_right;
            }
            ans[q] -= (i64)left * (len - left);
            nonzero = std::move(next);
        }
    }
    for (const i64 x : ans) {
        std::cout << x << '\n';
    }
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1484 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 1 ms 1484 KB Output is correct
4 Correct 1 ms 1400 KB Output is correct
5 Correct 1 ms 1484 KB Output is correct
6 Correct 1 ms 1484 KB Output is correct
7 Correct 1 ms 1484 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 1 ms 1484 KB Output is correct
10 Correct 1 ms 1484 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1484 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 2 ms 1612 KB Output is correct
4 Correct 16 ms 2896 KB Output is correct
5 Correct 26 ms 4164 KB Output is correct
6 Correct 48 ms 5960 KB Output is correct
7 Correct 39 ms 5972 KB Output is correct
8 Correct 38 ms 5960 KB Output is correct
9 Correct 39 ms 5976 KB Output is correct
10 Correct 39 ms 5968 KB Output is correct
11 Correct 41 ms 5976 KB Output is correct
12 Correct 40 ms 5960 KB Output is correct
13 Correct 43 ms 5960 KB Output is correct
14 Correct 39 ms 5960 KB Output is correct
15 Correct 38 ms 5960 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1484 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 2 ms 1612 KB Output is correct
4 Correct 16 ms 2896 KB Output is correct
5 Correct 26 ms 4164 KB Output is correct
6 Correct 48 ms 5960 KB Output is correct
7 Correct 39 ms 5972 KB Output is correct
8 Correct 38 ms 5960 KB Output is correct
9 Correct 39 ms 5976 KB Output is correct
10 Correct 39 ms 5968 KB Output is correct
11 Correct 41 ms 5976 KB Output is correct
12 Correct 40 ms 5960 KB Output is correct
13 Correct 43 ms 5960 KB Output is correct
14 Correct 39 ms 5960 KB Output is correct
15 Correct 38 ms 5960 KB Output is correct
16 Correct 1 ms 1484 KB Output is correct
17 Correct 1 ms 1484 KB Output is correct
18 Correct 2 ms 1612 KB Output is correct
19 Correct 13 ms 2900 KB Output is correct
20 Correct 26 ms 4180 KB Output is correct
21 Correct 40 ms 5960 KB Output is correct
22 Correct 40 ms 5940 KB Output is correct
23 Correct 39 ms 5968 KB Output is correct
24 Correct 43 ms 5968 KB Output is correct
25 Correct 39 ms 5960 KB Output is correct
26 Correct 39 ms 5960 KB Output is correct
27 Correct 39 ms 5960 KB Output is correct
28 Correct 40 ms 5960 KB Output is correct
29 Correct 40 ms 5972 KB Output is correct
30 Correct 38 ms 5960 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1484 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 2 ms 1612 KB Output is correct
4 Correct 16 ms 2896 KB Output is correct
5 Correct 26 ms 4164 KB Output is correct
6 Correct 48 ms 5960 KB Output is correct
7 Correct 39 ms 5972 KB Output is correct
8 Correct 38 ms 5960 KB Output is correct
9 Correct 39 ms 5976 KB Output is correct
10 Correct 39 ms 5968 KB Output is correct
11 Correct 41 ms 5976 KB Output is correct
12 Correct 40 ms 5960 KB Output is correct
13 Correct 43 ms 5960 KB Output is correct
14 Correct 39 ms 5960 KB Output is correct
15 Correct 38 ms 5960 KB Output is correct
16 Correct 1 ms 1484 KB Output is correct
17 Correct 1 ms 1484 KB Output is correct
18 Correct 2 ms 1612 KB Output is correct
19 Correct 13 ms 2900 KB Output is correct
20 Correct 26 ms 4180 KB Output is correct
21 Correct 40 ms 5960 KB Output is correct
22 Correct 40 ms 5940 KB Output is correct
23 Correct 39 ms 5968 KB Output is correct
24 Correct 43 ms 5968 KB Output is correct
25 Correct 39 ms 5960 KB Output is correct
26 Correct 39 ms 5960 KB Output is correct
27 Correct 39 ms 5960 KB Output is correct
28 Correct 40 ms 5960 KB Output is correct
29 Correct 40 ms 5972 KB Output is correct
30 Correct 38 ms 5960 KB Output is correct
31 Correct 1 ms 1484 KB Output is correct
32 Correct 1 ms 1484 KB Output is correct
33 Correct 1 ms 1484 KB Output is correct
34 Correct 2 ms 1612 KB Output is correct
35 Correct 2 ms 1484 KB Output is correct
36 Correct 1 ms 1484 KB Output is correct
37 Correct 5 ms 2020 KB Output is correct
38 Correct 5 ms 1868 KB Output is correct
39 Correct 9 ms 2380 KB Output is correct
40 Correct 17 ms 3408 KB Output is correct
41 Correct 27 ms 4448 KB Output is correct
42 Correct 30 ms 4452 KB Output is correct
43 Correct 28 ms 4432 KB Output is correct
44 Correct 33 ms 4444 KB Output is correct
45 Correct 34 ms 4432 KB Output is correct
46 Correct 26 ms 4440 KB Output is correct
47 Correct 28 ms 4448 KB Output is correct
48 Correct 28 ms 4436 KB Output is correct
49 Correct 26 ms 4432 KB Output is correct
50 Correct 27 ms 4444 KB Output is correct
51 Correct 27 ms 4404 KB Output is correct
52 Correct 27 ms 4432 KB Output is correct
53 Correct 26 ms 4388 KB Output is correct
54 Correct 27 ms 4512 KB Output is correct
55 Correct 26 ms 4448 KB Output is correct
56 Correct 27 ms 4552 KB Output is correct
57 Correct 28 ms 4432 KB Output is correct
58 Correct 27 ms 4452 KB Output is correct
59 Correct 27 ms 4444 KB Output is correct
60 Correct 28 ms 4432 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1484 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 1 ms 1484 KB Output is correct
4 Correct 1 ms 1400 KB Output is correct
5 Correct 1 ms 1484 KB Output is correct
6 Correct 1 ms 1484 KB Output is correct
7 Correct 1 ms 1484 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 1 ms 1484 KB Output is correct
10 Correct 1 ms 1484 KB Output is correct
11 Correct 1 ms 1484 KB Output is correct
12 Correct 1 ms 1484 KB Output is correct
13 Correct 2 ms 1612 KB Output is correct
14 Correct 16 ms 2896 KB Output is correct
15 Correct 26 ms 4164 KB Output is correct
16 Correct 48 ms 5960 KB Output is correct
17 Correct 39 ms 5972 KB Output is correct
18 Correct 38 ms 5960 KB Output is correct
19 Correct 39 ms 5976 KB Output is correct
20 Correct 39 ms 5968 KB Output is correct
21 Correct 41 ms 5976 KB Output is correct
22 Correct 40 ms 5960 KB Output is correct
23 Correct 43 ms 5960 KB Output is correct
24 Correct 39 ms 5960 KB Output is correct
25 Correct 38 ms 5960 KB Output is correct
26 Correct 1 ms 1484 KB Output is correct
27 Correct 1 ms 1484 KB Output is correct
28 Correct 2 ms 1612 KB Output is correct
29 Correct 13 ms 2900 KB Output is correct
30 Correct 26 ms 4180 KB Output is correct
31 Correct 40 ms 5960 KB Output is correct
32 Correct 40 ms 5940 KB Output is correct
33 Correct 39 ms 5968 KB Output is correct
34 Correct 43 ms 5968 KB Output is correct
35 Correct 39 ms 5960 KB Output is correct
36 Correct 39 ms 5960 KB Output is correct
37 Correct 39 ms 5960 KB Output is correct
38 Correct 40 ms 5960 KB Output is correct
39 Correct 40 ms 5972 KB Output is correct
40 Correct 38 ms 5960 KB Output is correct
41 Correct 1 ms 1484 KB Output is correct
42 Correct 1 ms 1484 KB Output is correct
43 Correct 1 ms 1484 KB Output is correct
44 Correct 2 ms 1612 KB Output is correct
45 Correct 2 ms 1484 KB Output is correct
46 Correct 1 ms 1484 KB Output is correct
47 Correct 5 ms 2020 KB Output is correct
48 Correct 5 ms 1868 KB Output is correct
49 Correct 9 ms 2380 KB Output is correct
50 Correct 17 ms 3408 KB Output is correct
51 Correct 27 ms 4448 KB Output is correct
52 Correct 30 ms 4452 KB Output is correct
53 Correct 28 ms 4432 KB Output is correct
54 Correct 33 ms 4444 KB Output is correct
55 Correct 34 ms 4432 KB Output is correct
56 Correct 26 ms 4440 KB Output is correct
57 Correct 28 ms 4448 KB Output is correct
58 Correct 28 ms 4436 KB Output is correct
59 Correct 26 ms 4432 KB Output is correct
60 Correct 27 ms 4444 KB Output is correct
61 Correct 27 ms 4404 KB Output is correct
62 Correct 27 ms 4432 KB Output is correct
63 Correct 26 ms 4388 KB Output is correct
64 Correct 27 ms 4512 KB Output is correct
65 Correct 26 ms 4448 KB Output is correct
66 Correct 27 ms 4552 KB Output is correct
67 Correct 28 ms 4432 KB Output is correct
68 Correct 27 ms 4452 KB Output is correct
69 Correct 27 ms 4444 KB Output is correct
70 Correct 28 ms 4432 KB Output is correct
71 Correct 4 ms 1868 KB Output is correct
72 Correct 5 ms 1868 KB Output is correct
73 Correct 5 ms 1868 KB Output is correct
74 Correct 4 ms 1796 KB Output is correct
75 Correct 5 ms 1868 KB Output is correct
76 Correct 9 ms 2252 KB Output is correct
77 Correct 8 ms 2252 KB Output is correct
78 Correct 8 ms 2252 KB Output is correct
79 Correct 8 ms 2256 KB Output is correct
80 Correct 8 ms 2252 KB Output is correct
81 Correct 16 ms 3036 KB Output is correct
82 Correct 16 ms 3028 KB Output is correct
83 Correct 16 ms 3024 KB Output is correct
84 Correct 16 ms 3028 KB Output is correct
85 Correct 15 ms 3028 KB Output is correct
86 Correct 18 ms 3028 KB Output is correct
87 Correct 18 ms 3148 KB Output is correct
88 Correct 17 ms 3020 KB Output is correct
89 Correct 17 ms 3028 KB Output is correct
90 Correct 17 ms 3020 KB Output is correct
91 Correct 25 ms 3800 KB Output is correct
92 Correct 25 ms 3800 KB Output is correct
93 Correct 25 ms 3780 KB Output is correct
94 Correct 27 ms 3764 KB Output is correct
95 Correct 26 ms 3780 KB Output is correct
96 Correct 31 ms 3796 KB Output is correct
97 Correct 30 ms 3788 KB Output is correct
98 Correct 31 ms 3804 KB Output is correct
99 Correct 29 ms 3788 KB Output is correct
100 Correct 31 ms 3788 KB Output is correct
101 Correct 37 ms 3784 KB Output is correct
102 Correct 32 ms 3780 KB Output is correct
103 Correct 32 ms 3788 KB Output is correct
104 Correct 31 ms 3792 KB Output is correct
105 Correct 29 ms 3836 KB Output is correct
106 Correct 29 ms 3780 KB Output is correct
107 Correct 29 ms 3808 KB Output is correct
108 Correct 30 ms 3720 KB Output is correct
109 Correct 31 ms 3784 KB Output is correct
110 Correct 38 ms 3908 KB Output is correct
111 Correct 30 ms 3804 KB Output is correct
112 Correct 29 ms 3780 KB Output is correct
113 Correct 29 ms 3788 KB Output is correct
114 Correct 29 ms 3800 KB Output is correct
115 Correct 29 ms 3800 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1484 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 1 ms 1484 KB Output is correct
4 Correct 1 ms 1400 KB Output is correct
5 Correct 1 ms 1484 KB Output is correct
6 Correct 1 ms 1484 KB Output is correct
7 Correct 1 ms 1484 KB Output is correct
8 Correct 1 ms 1484 KB Output is correct
9 Correct 1 ms 1484 KB Output is correct
10 Correct 1 ms 1484 KB Output is correct
11 Correct 1 ms 1484 KB Output is correct
12 Correct 1 ms 1484 KB Output is correct
13 Correct 2 ms 1612 KB Output is correct
14 Correct 16 ms 2896 KB Output is correct
15 Correct 26 ms 4164 KB Output is correct
16 Correct 48 ms 5960 KB Output is correct
17 Correct 39 ms 5972 KB Output is correct
18 Correct 38 ms 5960 KB Output is correct
19 Correct 39 ms 5976 KB Output is correct
20 Correct 39 ms 5968 KB Output is correct
21 Correct 41 ms 5976 KB Output is correct
22 Correct 40 ms 5960 KB Output is correct
23 Correct 43 ms 5960 KB Output is correct
24 Correct 39 ms 5960 KB Output is correct
25 Correct 38 ms 5960 KB Output is correct
26 Correct 1 ms 1484 KB Output is correct
27 Correct 1 ms 1484 KB Output is correct
28 Correct 2 ms 1612 KB Output is correct
29 Correct 13 ms 2900 KB Output is correct
30 Correct 26 ms 4180 KB Output is correct
31 Correct 40 ms 5960 KB Output is correct
32 Correct 40 ms 5940 KB Output is correct
33 Correct 39 ms 5968 KB Output is correct
34 Correct 43 ms 5968 KB Output is correct
35 Correct 39 ms 5960 KB Output is correct
36 Correct 39 ms 5960 KB Output is correct
37 Correct 39 ms 5960 KB Output is correct
38 Correct 40 ms 5960 KB Output is correct
39 Correct 40 ms 5972 KB Output is correct
40 Correct 38 ms 5960 KB Output is correct
41 Correct 1 ms 1484 KB Output is correct
42 Correct 1 ms 1484 KB Output is correct
43 Correct 1 ms 1484 KB Output is correct
44 Correct 2 ms 1612 KB Output is correct
45 Correct 2 ms 1484 KB Output is correct
46 Correct 1 ms 1484 KB Output is correct
47 Correct 5 ms 2020 KB Output is correct
48 Correct 5 ms 1868 KB Output is correct
49 Correct 9 ms 2380 KB Output is correct
50 Correct 17 ms 3408 KB Output is correct
51 Correct 27 ms 4448 KB Output is correct
52 Correct 30 ms 4452 KB Output is correct
53 Correct 28 ms 4432 KB Output is correct
54 Correct 33 ms 4444 KB Output is correct
55 Correct 34 ms 4432 KB Output is correct
56 Correct 26 ms 4440 KB Output is correct
57 Correct 28 ms 4448 KB Output is correct
58 Correct 28 ms 4436 KB Output is correct
59 Correct 26 ms 4432 KB Output is correct
60 Correct 27 ms 4444 KB Output is correct
61 Correct 27 ms 4404 KB Output is correct
62 Correct 27 ms 4432 KB Output is correct
63 Correct 26 ms 4388 KB Output is correct
64 Correct 27 ms 4512 KB Output is correct
65 Correct 26 ms 4448 KB Output is correct
66 Correct 27 ms 4552 KB Output is correct
67 Correct 28 ms 4432 KB Output is correct
68 Correct 27 ms 4452 KB Output is correct
69 Correct 27 ms 4444 KB Output is correct
70 Correct 28 ms 4432 KB Output is correct
71 Correct 4 ms 1868 KB Output is correct
72 Correct 5 ms 1868 KB Output is correct
73 Correct 5 ms 1868 KB Output is correct
74 Correct 4 ms 1796 KB Output is correct
75 Correct 5 ms 1868 KB Output is correct
76 Correct 9 ms 2252 KB Output is correct
77 Correct 8 ms 2252 KB Output is correct
78 Correct 8 ms 2252 KB Output is correct
79 Correct 8 ms 2256 KB Output is correct
80 Correct 8 ms 2252 KB Output is correct
81 Correct 16 ms 3036 KB Output is correct
82 Correct 16 ms 3028 KB Output is correct
83 Correct 16 ms 3024 KB Output is correct
84 Correct 16 ms 3028 KB Output is correct
85 Correct 15 ms 3028 KB Output is correct
86 Correct 18 ms 3028 KB Output is correct
87 Correct 18 ms 3148 KB Output is correct
88 Correct 17 ms 3020 KB Output is correct
89 Correct 17 ms 3028 KB Output is correct
90 Correct 17 ms 3020 KB Output is correct
91 Correct 25 ms 3800 KB Output is correct
92 Correct 25 ms 3800 KB Output is correct
93 Correct 25 ms 3780 KB Output is correct
94 Correct 27 ms 3764 KB Output is correct
95 Correct 26 ms 3780 KB Output is correct
96 Correct 31 ms 3796 KB Output is correct
97 Correct 30 ms 3788 KB Output is correct
98 Correct 31 ms 3804 KB Output is correct
99 Correct 29 ms 3788 KB Output is correct
100 Correct 31 ms 3788 KB Output is correct
101 Correct 37 ms 3784 KB Output is correct
102 Correct 32 ms 3780 KB Output is correct
103 Correct 32 ms 3788 KB Output is correct
104 Correct 31 ms 3792 KB Output is correct
105 Correct 29 ms 3836 KB Output is correct
106 Correct 29 ms 3780 KB Output is correct
107 Correct 29 ms 3808 KB Output is correct
108 Correct 30 ms 3720 KB Output is correct
109 Correct 31 ms 3784 KB Output is correct
110 Correct 38 ms 3908 KB Output is correct
111 Correct 30 ms 3804 KB Output is correct
112 Correct 29 ms 3780 KB Output is correct
113 Correct 29 ms 3788 KB Output is correct
114 Correct 29 ms 3800 KB Output is correct
115 Correct 29 ms 3800 KB Output is correct
116 Incorrect 631 ms 3252 KB Output isn't correct
117 Halted 0 ms 0 KB -