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Submission #520488

# Submission time Handle Problem Language Result Execution time Memory
520488 2022-01-30T07:16:55 Z KoD Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 8788 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 = 700;
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;
    };
    int l = 0, r = 0;
    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]; 
        });
        for (const int q : qidx) {
            while (r < R[q]) {
                change(A[r++], 1);
            }
            while (r > R[q]) {
                change(A[--r], -1);
            }
            while (l > L[q]) {
                change(A[--l], 1);
            }
            while (l < L[q]) {
                change(A[l++], -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 1484 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 13 ms 2892 KB Output is correct
5 Correct 24 ms 4168 KB Output is correct
6 Correct 39 ms 6024 KB Output is correct
7 Correct 37 ms 5968 KB Output is correct
8 Correct 38 ms 5956 KB Output is correct
9 Correct 40 ms 5972 KB Output is correct
10 Correct 40 ms 5948 KB Output is correct
11 Correct 39 ms 5972 KB Output is correct
12 Correct 39 ms 5968 KB Output is correct
13 Correct 38 ms 5968 KB Output is correct
14 Correct 39 ms 5956 KB Output is correct
15 Correct 40 ms 5964 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 13 ms 2892 KB Output is correct
5 Correct 24 ms 4168 KB Output is correct
6 Correct 39 ms 6024 KB Output is correct
7 Correct 37 ms 5968 KB Output is correct
8 Correct 38 ms 5956 KB Output is correct
9 Correct 40 ms 5972 KB Output is correct
10 Correct 40 ms 5948 KB Output is correct
11 Correct 39 ms 5972 KB Output is correct
12 Correct 39 ms 5968 KB Output is correct
13 Correct 38 ms 5968 KB Output is correct
14 Correct 39 ms 5956 KB Output is correct
15 Correct 40 ms 5964 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 14 ms 2888 KB Output is correct
20 Correct 28 ms 4168 KB Output is correct
21 Correct 41 ms 5952 KB Output is correct
22 Correct 41 ms 5964 KB Output is correct
23 Correct 39 ms 5964 KB Output is correct
24 Correct 41 ms 6008 KB Output is correct
25 Correct 39 ms 5956 KB Output is correct
26 Correct 41 ms 5964 KB Output is correct
27 Correct 41 ms 5972 KB Output is correct
28 Correct 43 ms 5956 KB Output is correct
29 Correct 42 ms 5968 KB Output is correct
30 Correct 39 ms 5948 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 13 ms 2892 KB Output is correct
5 Correct 24 ms 4168 KB Output is correct
6 Correct 39 ms 6024 KB Output is correct
7 Correct 37 ms 5968 KB Output is correct
8 Correct 38 ms 5956 KB Output is correct
9 Correct 40 ms 5972 KB Output is correct
10 Correct 40 ms 5948 KB Output is correct
11 Correct 39 ms 5972 KB Output is correct
12 Correct 39 ms 5968 KB Output is correct
13 Correct 38 ms 5968 KB Output is correct
14 Correct 39 ms 5956 KB Output is correct
15 Correct 40 ms 5964 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 14 ms 2888 KB Output is correct
20 Correct 28 ms 4168 KB Output is correct
21 Correct 41 ms 5952 KB Output is correct
22 Correct 41 ms 5964 KB Output is correct
23 Correct 39 ms 5964 KB Output is correct
24 Correct 41 ms 6008 KB Output is correct
25 Correct 39 ms 5956 KB Output is correct
26 Correct 41 ms 5964 KB Output is correct
27 Correct 41 ms 5972 KB Output is correct
28 Correct 43 ms 5956 KB Output is correct
29 Correct 42 ms 5968 KB Output is correct
30 Correct 39 ms 5948 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 2 ms 1484 KB Output is correct
37 Correct 8 ms 1996 KB Output is correct
38 Correct 5 ms 1868 KB Output is correct
39 Correct 9 ms 2380 KB Output is correct
40 Correct 18 ms 3412 KB Output is correct
41 Correct 28 ms 4436 KB Output is correct
42 Correct 28 ms 4436 KB Output is correct
43 Correct 27 ms 4468 KB Output is correct
44 Correct 27 ms 4484 KB Output is correct
45 Correct 26 ms 4424 KB Output is correct
46 Correct 27 ms 4444 KB Output is correct
47 Correct 27 ms 4436 KB Output is correct
48 Correct 27 ms 4412 KB Output is correct
49 Correct 27 ms 4440 KB Output is correct
50 Correct 28 ms 4428 KB Output is correct
51 Correct 27 ms 4428 KB Output is correct
52 Correct 28 ms 4432 KB Output is correct
53 Correct 32 ms 4432 KB Output is correct
54 Correct 27 ms 4432 KB Output is correct
55 Correct 27 ms 4420 KB Output is correct
56 Correct 26 ms 4440 KB Output is correct
57 Correct 27 ms 4428 KB Output is correct
58 Correct 28 ms 4440 KB Output is correct
59 Correct 28 ms 4440 KB Output is correct
60 Correct 27 ms 4460 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 1484 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 13 ms 2892 KB Output is correct
15 Correct 24 ms 4168 KB Output is correct
16 Correct 39 ms 6024 KB Output is correct
17 Correct 37 ms 5968 KB Output is correct
18 Correct 38 ms 5956 KB Output is correct
19 Correct 40 ms 5972 KB Output is correct
20 Correct 40 ms 5948 KB Output is correct
21 Correct 39 ms 5972 KB Output is correct
22 Correct 39 ms 5968 KB Output is correct
23 Correct 38 ms 5968 KB Output is correct
24 Correct 39 ms 5956 KB Output is correct
25 Correct 40 ms 5964 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 14 ms 2888 KB Output is correct
30 Correct 28 ms 4168 KB Output is correct
31 Correct 41 ms 5952 KB Output is correct
32 Correct 41 ms 5964 KB Output is correct
33 Correct 39 ms 5964 KB Output is correct
34 Correct 41 ms 6008 KB Output is correct
35 Correct 39 ms 5956 KB Output is correct
36 Correct 41 ms 5964 KB Output is correct
37 Correct 41 ms 5972 KB Output is correct
38 Correct 43 ms 5956 KB Output is correct
39 Correct 42 ms 5968 KB Output is correct
40 Correct 39 ms 5948 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 2 ms 1484 KB Output is correct
47 Correct 8 ms 1996 KB Output is correct
48 Correct 5 ms 1868 KB Output is correct
49 Correct 9 ms 2380 KB Output is correct
50 Correct 18 ms 3412 KB Output is correct
51 Correct 28 ms 4436 KB Output is correct
52 Correct 28 ms 4436 KB Output is correct
53 Correct 27 ms 4468 KB Output is correct
54 Correct 27 ms 4484 KB Output is correct
55 Correct 26 ms 4424 KB Output is correct
56 Correct 27 ms 4444 KB Output is correct
57 Correct 27 ms 4436 KB Output is correct
58 Correct 27 ms 4412 KB Output is correct
59 Correct 27 ms 4440 KB Output is correct
60 Correct 28 ms 4428 KB Output is correct
61 Correct 27 ms 4428 KB Output is correct
62 Correct 28 ms 4432 KB Output is correct
63 Correct 32 ms 4432 KB Output is correct
64 Correct 27 ms 4432 KB Output is correct
65 Correct 27 ms 4420 KB Output is correct
66 Correct 26 ms 4440 KB Output is correct
67 Correct 27 ms 4428 KB Output is correct
68 Correct 28 ms 4440 KB Output is correct
69 Correct 28 ms 4440 KB Output is correct
70 Correct 27 ms 4460 KB Output is correct
71 Correct 5 ms 1796 KB Output is correct
72 Correct 4 ms 1868 KB Output is correct
73 Correct 5 ms 1868 KB Output is correct
74 Correct 5 ms 1804 KB Output is correct
75 Correct 5 ms 1868 KB Output is correct
76 Correct 8 ms 2252 KB Output is correct
77 Correct 10 ms 2252 KB Output is correct
78 Correct 8 ms 2264 KB Output is correct
79 Correct 8 ms 2196 KB Output is correct
80 Correct 8 ms 2252 KB Output is correct
81 Correct 15 ms 3020 KB Output is correct
82 Correct 15 ms 3028 KB Output is correct
83 Correct 15 ms 3020 KB Output is correct
84 Correct 16 ms 3032 KB Output is correct
85 Correct 16 ms 3024 KB Output is correct
86 Correct 17 ms 3036 KB Output is correct
87 Correct 18 ms 3028 KB Output is correct
88 Correct 17 ms 3020 KB Output is correct
89 Correct 17 ms 3028 KB Output is correct
90 Correct 20 ms 3148 KB Output is correct
91 Correct 25 ms 3796 KB Output is correct
92 Correct 25 ms 3800 KB Output is correct
93 Correct 25 ms 3788 KB Output is correct
94 Correct 27 ms 3800 KB Output is correct
95 Correct 25 ms 3800 KB Output is correct
96 Correct 30 ms 3796 KB Output is correct
97 Correct 29 ms 3788 KB Output is correct
98 Correct 30 ms 3780 KB Output is correct
99 Correct 29 ms 3800 KB Output is correct
100 Correct 30 ms 3796 KB Output is correct
101 Correct 30 ms 3796 KB Output is correct
102 Correct 37 ms 3780 KB Output is correct
103 Correct 29 ms 3788 KB Output is correct
104 Correct 29 ms 3804 KB Output is correct
105 Correct 29 ms 3800 KB Output is correct
106 Correct 29 ms 3808 KB Output is correct
107 Correct 30 ms 3796 KB Output is correct
108 Correct 29 ms 3804 KB Output is correct
109 Correct 29 ms 3792 KB Output is correct
110 Correct 29 ms 3796 KB Output is correct
111 Correct 29 ms 3804 KB Output is correct
112 Correct 29 ms 3796 KB Output is correct
113 Correct 31 ms 3780 KB Output is correct
114 Correct 31 ms 3800 KB Output is correct
115 Correct 30 ms 3788 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 1484 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 13 ms 2892 KB Output is correct
15 Correct 24 ms 4168 KB Output is correct
16 Correct 39 ms 6024 KB Output is correct
17 Correct 37 ms 5968 KB Output is correct
18 Correct 38 ms 5956 KB Output is correct
19 Correct 40 ms 5972 KB Output is correct
20 Correct 40 ms 5948 KB Output is correct
21 Correct 39 ms 5972 KB Output is correct
22 Correct 39 ms 5968 KB Output is correct
23 Correct 38 ms 5968 KB Output is correct
24 Correct 39 ms 5956 KB Output is correct
25 Correct 40 ms 5964 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 14 ms 2888 KB Output is correct
30 Correct 28 ms 4168 KB Output is correct
31 Correct 41 ms 5952 KB Output is correct
32 Correct 41 ms 5964 KB Output is correct
33 Correct 39 ms 5964 KB Output is correct
34 Correct 41 ms 6008 KB Output is correct
35 Correct 39 ms 5956 KB Output is correct
36 Correct 41 ms 5964 KB Output is correct
37 Correct 41 ms 5972 KB Output is correct
38 Correct 43 ms 5956 KB Output is correct
39 Correct 42 ms 5968 KB Output is correct
40 Correct 39 ms 5948 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 2 ms 1484 KB Output is correct
47 Correct 8 ms 1996 KB Output is correct
48 Correct 5 ms 1868 KB Output is correct
49 Correct 9 ms 2380 KB Output is correct
50 Correct 18 ms 3412 KB Output is correct
51 Correct 28 ms 4436 KB Output is correct
52 Correct 28 ms 4436 KB Output is correct
53 Correct 27 ms 4468 KB Output is correct
54 Correct 27 ms 4484 KB Output is correct
55 Correct 26 ms 4424 KB Output is correct
56 Correct 27 ms 4444 KB Output is correct
57 Correct 27 ms 4436 KB Output is correct
58 Correct 27 ms 4412 KB Output is correct
59 Correct 27 ms 4440 KB Output is correct
60 Correct 28 ms 4428 KB Output is correct
61 Correct 27 ms 4428 KB Output is correct
62 Correct 28 ms 4432 KB Output is correct
63 Correct 32 ms 4432 KB Output is correct
64 Correct 27 ms 4432 KB Output is correct
65 Correct 27 ms 4420 KB Output is correct
66 Correct 26 ms 4440 KB Output is correct
67 Correct 27 ms 4428 KB Output is correct
68 Correct 28 ms 4440 KB Output is correct
69 Correct 28 ms 4440 KB Output is correct
70 Correct 27 ms 4460 KB Output is correct
71 Correct 5 ms 1796 KB Output is correct
72 Correct 4 ms 1868 KB Output is correct
73 Correct 5 ms 1868 KB Output is correct
74 Correct 5 ms 1804 KB Output is correct
75 Correct 5 ms 1868 KB Output is correct
76 Correct 8 ms 2252 KB Output is correct
77 Correct 10 ms 2252 KB Output is correct
78 Correct 8 ms 2264 KB Output is correct
79 Correct 8 ms 2196 KB Output is correct
80 Correct 8 ms 2252 KB Output is correct
81 Correct 15 ms 3020 KB Output is correct
82 Correct 15 ms 3028 KB Output is correct
83 Correct 15 ms 3020 KB Output is correct
84 Correct 16 ms 3032 KB Output is correct
85 Correct 16 ms 3024 KB Output is correct
86 Correct 17 ms 3036 KB Output is correct
87 Correct 18 ms 3028 KB Output is correct
88 Correct 17 ms 3020 KB Output is correct
89 Correct 17 ms 3028 KB Output is correct
90 Correct 20 ms 3148 KB Output is correct
91 Correct 25 ms 3796 KB Output is correct
92 Correct 25 ms 3800 KB Output is correct
93 Correct 25 ms 3788 KB Output is correct
94 Correct 27 ms 3800 KB Output is correct
95 Correct 25 ms 3800 KB Output is correct
96 Correct 30 ms 3796 KB Output is correct
97 Correct 29 ms 3788 KB Output is correct
98 Correct 30 ms 3780 KB Output is correct
99 Correct 29 ms 3800 KB Output is correct
100 Correct 30 ms 3796 KB Output is correct
101 Correct 30 ms 3796 KB Output is correct
102 Correct 37 ms 3780 KB Output is correct
103 Correct 29 ms 3788 KB Output is correct
104 Correct 29 ms 3804 KB Output is correct
105 Correct 29 ms 3800 KB Output is correct
106 Correct 29 ms 3808 KB Output is correct
107 Correct 30 ms 3796 KB Output is correct
108 Correct 29 ms 3804 KB Output is correct
109 Correct 29 ms 3792 KB Output is correct
110 Correct 29 ms 3796 KB Output is correct
111 Correct 29 ms 3804 KB Output is correct
112 Correct 29 ms 3796 KB Output is correct
113 Correct 31 ms 3780 KB Output is correct
114 Correct 31 ms 3800 KB Output is correct
115 Correct 30 ms 3788 KB Output is correct
116 Correct 599 ms 3060 KB Output is correct
117 Correct 491 ms 3140 KB Output is correct
118 Correct 885 ms 3756 KB Output is correct
119 Correct 530 ms 4396 KB Output is correct
120 Correct 360 ms 4308 KB Output is correct
121 Correct 716 ms 5084 KB Output is correct
122 Correct 508 ms 5008 KB Output is correct
123 Correct 1933 ms 6484 KB Output is correct
124 Correct 940 ms 6484 KB Output is correct
125 Correct 875 ms 6480 KB Output is correct
126 Execution timed out 7040 ms 8788 KB Time limit exceeded
127 Halted 0 ms 0 KB -