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Submission #971686

# Submission time Handle Problem Language Result Execution time Memory
971686 2024-04-29T07:49:10 Z Szil Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 8768 KB 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
 
const int MAXN = 300'001;
const int BLOCK = 400;

struct Query {
    int l, r, idx;
 
    bool operator<(Query x) const {
        if (l / BLOCK == x.l / BLOCK) return (l / BLOCK) & 1 ? r > x.r : r < x.r;
        return l < x.l;
    }
};
 
int a[MAXN], b[MAXN]; 
map<int, int> c;
ll ans[MAXN], negyzet[MAXN];
 
void add(int i) {
    int v = a[i];
    if (b[v]) {
        c[b[v]]--;
        if (c[b[v]] == 0) c.erase(b[v]);
    }
    b[v]++;
    c[b[v]]++;
}
 
void remove(int i) {
    int v = a[i];
    c[b[v]]--;
    if (c[b[v]] == 0) c.erase(b[v]);
    b[v]--;
    if (b[v]) {
        c[b[v]]++;
    }
}
 
int main() {
    ios::sync_with_stdio(0); cin.tie(0);
    int n, q; cin >> n >> q;
    for (ll i = 1; i <= n; i++) {
        negyzet[i] = negyzet[i-1] + i*i;
    }
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    vector<Query> qrys(q);
    for (int i = 0; i < q; i++) {
        cin >> qrys[i].l >> qrys[i].r;
        qrys[i].idx = i+1;
    }
    sort(qrys.begin(), qrys.end());
    int l = 1, r = 0;
    for (auto [nl, nr, idx] : qrys) {
        while (r < nr) add(++r);
        while (r > nr) remove(r--);
        while (l < nl) remove(l++);
        while (l > nl) add(--l);
 
        deque<pair<ll, ll>> dq;
        int d = 0;
 
        auto push = [&](int a, int b) {
            if (d) dq.emplace_back(a, b);
            else dq.emplace_front(a, b);
            d ^= 1;
        };


        for (auto it = c.rbegin(); it != c.rend(); it++) {
            auto [len, cnt] = *it;
            if (cnt & 1) {
                push(len, 1);
                cnt--;
            }
            push(len, cnt/2);
            push(len, cnt/2);
        }
 
        auto sum_arit = [&](ll start, ll d, ll cnt) {
            return start*cnt + d * (cnt - 1) * cnt / 2;
        };
 
        ll pref = 0;
        int x = nr-nl+1;
        for (auto [len, cnt] : dq) {
            ans[idx] += cnt * (len*(len+1)/2);
            ans[idx] += cnt * (len*(x-len));
            ans[idx] += (x - len) * sum_arit(pref, len, cnt);
            ans[idx] -= pref * pref * cnt;
            ans[idx] -= pref * sum_arit(0, 2*len, cnt);
            ans[idx] -= len * len * negyzet[cnt-1];
            pref += len*cnt;
        }
    }
 
    for (int i = 1; i <= q; i++) {
        cout << ans[i] << "\n";
    }
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2648 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2392 KB Output is correct
4 Correct 13 ms 4736 KB Output is correct
5 Correct 27 ms 4956 KB Output is correct
6 Correct 42 ms 7260 KB Output is correct
7 Correct 40 ms 7260 KB Output is correct
8 Correct 45 ms 7260 KB Output is correct
9 Correct 40 ms 7260 KB Output is correct
10 Correct 38 ms 7324 KB Output is correct
11 Correct 39 ms 7260 KB Output is correct
12 Correct 41 ms 7260 KB Output is correct
13 Correct 40 ms 7260 KB Output is correct
14 Correct 39 ms 7280 KB Output is correct
15 Correct 38 ms 7260 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2392 KB Output is correct
4 Correct 13 ms 4736 KB Output is correct
5 Correct 27 ms 4956 KB Output is correct
6 Correct 42 ms 7260 KB Output is correct
7 Correct 40 ms 7260 KB Output is correct
8 Correct 45 ms 7260 KB Output is correct
9 Correct 40 ms 7260 KB Output is correct
10 Correct 38 ms 7324 KB Output is correct
11 Correct 39 ms 7260 KB Output is correct
12 Correct 41 ms 7260 KB Output is correct
13 Correct 40 ms 7260 KB Output is correct
14 Correct 39 ms 7280 KB Output is correct
15 Correct 38 ms 7260 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2392 KB Output is correct
18 Correct 2 ms 2396 KB Output is correct
19 Correct 16 ms 4736 KB Output is correct
20 Correct 32 ms 4956 KB Output is correct
21 Correct 45 ms 7296 KB Output is correct
22 Correct 57 ms 3932 KB Output is correct
23 Correct 48 ms 7256 KB Output is correct
24 Correct 56 ms 7480 KB Output is correct
25 Correct 47 ms 7256 KB Output is correct
26 Correct 48 ms 7292 KB Output is correct
27 Correct 51 ms 7256 KB Output is correct
28 Correct 45 ms 7272 KB Output is correct
29 Correct 51 ms 7256 KB Output is correct
30 Correct 53 ms 7480 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2392 KB Output is correct
4 Correct 13 ms 4736 KB Output is correct
5 Correct 27 ms 4956 KB Output is correct
6 Correct 42 ms 7260 KB Output is correct
7 Correct 40 ms 7260 KB Output is correct
8 Correct 45 ms 7260 KB Output is correct
9 Correct 40 ms 7260 KB Output is correct
10 Correct 38 ms 7324 KB Output is correct
11 Correct 39 ms 7260 KB Output is correct
12 Correct 41 ms 7260 KB Output is correct
13 Correct 40 ms 7260 KB Output is correct
14 Correct 39 ms 7280 KB Output is correct
15 Correct 38 ms 7260 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2392 KB Output is correct
18 Correct 2 ms 2396 KB Output is correct
19 Correct 16 ms 4736 KB Output is correct
20 Correct 32 ms 4956 KB Output is correct
21 Correct 45 ms 7296 KB Output is correct
22 Correct 57 ms 3932 KB Output is correct
23 Correct 48 ms 7256 KB Output is correct
24 Correct 56 ms 7480 KB Output is correct
25 Correct 47 ms 7256 KB Output is correct
26 Correct 48 ms 7292 KB Output is correct
27 Correct 51 ms 7256 KB Output is correct
28 Correct 45 ms 7272 KB Output is correct
29 Correct 51 ms 7256 KB Output is correct
30 Correct 53 ms 7480 KB Output is correct
31 Correct 1 ms 2400 KB Output is correct
32 Correct 1 ms 2392 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 3 ms 2396 KB Output is correct
35 Correct 2 ms 2396 KB Output is correct
36 Correct 2 ms 2392 KB Output is correct
37 Correct 9 ms 2912 KB Output is correct
38 Correct 8 ms 2916 KB Output is correct
39 Correct 18 ms 3300 KB Output is correct
40 Correct 40 ms 4220 KB Output is correct
41 Correct 64 ms 5588 KB Output is correct
42 Correct 66 ms 5584 KB Output is correct
43 Correct 70 ms 5568 KB Output is correct
44 Correct 68 ms 5588 KB Output is correct
45 Correct 64 ms 5592 KB Output is correct
46 Correct 70 ms 5584 KB Output is correct
47 Correct 66 ms 7500 KB Output is correct
48 Correct 66 ms 4000 KB Output is correct
49 Correct 77 ms 6348 KB Output is correct
50 Correct 72 ms 6356 KB Output is correct
51 Correct 68 ms 8272 KB Output is correct
52 Correct 65 ms 8124 KB Output is correct
53 Correct 78 ms 8276 KB Output is correct
54 Correct 71 ms 8084 KB Output is correct
55 Correct 65 ms 8284 KB Output is correct
56 Correct 63 ms 8284 KB Output is correct
57 Correct 67 ms 8268 KB Output is correct
58 Correct 66 ms 8260 KB Output is correct
59 Correct 69 ms 8264 KB Output is correct
60 Correct 63 ms 8276 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2648 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 2 ms 2392 KB Output is correct
14 Correct 13 ms 4736 KB Output is correct
15 Correct 27 ms 4956 KB Output is correct
16 Correct 42 ms 7260 KB Output is correct
17 Correct 40 ms 7260 KB Output is correct
18 Correct 45 ms 7260 KB Output is correct
19 Correct 40 ms 7260 KB Output is correct
20 Correct 38 ms 7324 KB Output is correct
21 Correct 39 ms 7260 KB Output is correct
22 Correct 41 ms 7260 KB Output is correct
23 Correct 40 ms 7260 KB Output is correct
24 Correct 39 ms 7280 KB Output is correct
25 Correct 38 ms 7260 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 16 ms 4736 KB Output is correct
30 Correct 32 ms 4956 KB Output is correct
31 Correct 45 ms 7296 KB Output is correct
32 Correct 57 ms 3932 KB Output is correct
33 Correct 48 ms 7256 KB Output is correct
34 Correct 56 ms 7480 KB Output is correct
35 Correct 47 ms 7256 KB Output is correct
36 Correct 48 ms 7292 KB Output is correct
37 Correct 51 ms 7256 KB Output is correct
38 Correct 45 ms 7272 KB Output is correct
39 Correct 51 ms 7256 KB Output is correct
40 Correct 53 ms 7480 KB Output is correct
41 Correct 1 ms 2400 KB Output is correct
42 Correct 1 ms 2392 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 3 ms 2396 KB Output is correct
45 Correct 2 ms 2396 KB Output is correct
46 Correct 2 ms 2392 KB Output is correct
47 Correct 9 ms 2912 KB Output is correct
48 Correct 8 ms 2916 KB Output is correct
49 Correct 18 ms 3300 KB Output is correct
50 Correct 40 ms 4220 KB Output is correct
51 Correct 64 ms 5588 KB Output is correct
52 Correct 66 ms 5584 KB Output is correct
53 Correct 70 ms 5568 KB Output is correct
54 Correct 68 ms 5588 KB Output is correct
55 Correct 64 ms 5592 KB Output is correct
56 Correct 70 ms 5584 KB Output is correct
57 Correct 66 ms 7500 KB Output is correct
58 Correct 66 ms 4000 KB Output is correct
59 Correct 77 ms 6348 KB Output is correct
60 Correct 72 ms 6356 KB Output is correct
61 Correct 68 ms 8272 KB Output is correct
62 Correct 65 ms 8124 KB Output is correct
63 Correct 78 ms 8276 KB Output is correct
64 Correct 71 ms 8084 KB Output is correct
65 Correct 65 ms 8284 KB Output is correct
66 Correct 63 ms 8284 KB Output is correct
67 Correct 67 ms 8268 KB Output is correct
68 Correct 66 ms 8260 KB Output is correct
69 Correct 69 ms 8264 KB Output is correct
70 Correct 63 ms 8276 KB Output is correct
71 Correct 7 ms 4956 KB Output is correct
72 Correct 7 ms 4956 KB Output is correct
73 Correct 9 ms 4956 KB Output is correct
74 Correct 7 ms 4956 KB Output is correct
75 Correct 7 ms 4952 KB Output is correct
76 Correct 12 ms 5208 KB Output is correct
77 Correct 16 ms 5212 KB Output is correct
78 Correct 12 ms 5208 KB Output is correct
79 Correct 17 ms 4956 KB Output is correct
80 Correct 12 ms 5200 KB Output is correct
81 Correct 28 ms 5712 KB Output is correct
82 Correct 24 ms 5724 KB Output is correct
83 Correct 23 ms 5720 KB Output is correct
84 Correct 30 ms 5740 KB Output is correct
85 Correct 24 ms 5716 KB Output is correct
86 Correct 22 ms 5724 KB Output is correct
87 Correct 22 ms 5812 KB Output is correct
88 Correct 22 ms 5724 KB Output is correct
89 Correct 24 ms 5724 KB Output is correct
90 Correct 23 ms 5808 KB Output is correct
91 Correct 31 ms 8460 KB Output is correct
92 Correct 26 ms 8280 KB Output is correct
93 Correct 28 ms 8396 KB Output is correct
94 Correct 31 ms 8268 KB Output is correct
95 Correct 32 ms 8448 KB Output is correct
96 Correct 29 ms 8652 KB Output is correct
97 Correct 27 ms 8748 KB Output is correct
98 Correct 38 ms 8752 KB Output is correct
99 Correct 28 ms 8760 KB Output is correct
100 Correct 28 ms 8552 KB Output is correct
101 Correct 27 ms 8656 KB Output is correct
102 Correct 28 ms 8540 KB Output is correct
103 Correct 27 ms 8704 KB Output is correct
104 Correct 26 ms 8768 KB Output is correct
105 Correct 28 ms 8552 KB Output is correct
106 Correct 28 ms 8720 KB Output is correct
107 Correct 27 ms 8680 KB Output is correct
108 Correct 24 ms 8592 KB Output is correct
109 Correct 25 ms 8560 KB Output is correct
110 Correct 26 ms 8532 KB Output is correct
111 Correct 25 ms 8540 KB Output is correct
112 Correct 29 ms 8528 KB Output is correct
113 Correct 27 ms 8716 KB Output is correct
114 Correct 39 ms 8668 KB Output is correct
115 Correct 28 ms 8644 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2648 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 2 ms 2392 KB Output is correct
14 Correct 13 ms 4736 KB Output is correct
15 Correct 27 ms 4956 KB Output is correct
16 Correct 42 ms 7260 KB Output is correct
17 Correct 40 ms 7260 KB Output is correct
18 Correct 45 ms 7260 KB Output is correct
19 Correct 40 ms 7260 KB Output is correct
20 Correct 38 ms 7324 KB Output is correct
21 Correct 39 ms 7260 KB Output is correct
22 Correct 41 ms 7260 KB Output is correct
23 Correct 40 ms 7260 KB Output is correct
24 Correct 39 ms 7280 KB Output is correct
25 Correct 38 ms 7260 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 16 ms 4736 KB Output is correct
30 Correct 32 ms 4956 KB Output is correct
31 Correct 45 ms 7296 KB Output is correct
32 Correct 57 ms 3932 KB Output is correct
33 Correct 48 ms 7256 KB Output is correct
34 Correct 56 ms 7480 KB Output is correct
35 Correct 47 ms 7256 KB Output is correct
36 Correct 48 ms 7292 KB Output is correct
37 Correct 51 ms 7256 KB Output is correct
38 Correct 45 ms 7272 KB Output is correct
39 Correct 51 ms 7256 KB Output is correct
40 Correct 53 ms 7480 KB Output is correct
41 Correct 1 ms 2400 KB Output is correct
42 Correct 1 ms 2392 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 3 ms 2396 KB Output is correct
45 Correct 2 ms 2396 KB Output is correct
46 Correct 2 ms 2392 KB Output is correct
47 Correct 9 ms 2912 KB Output is correct
48 Correct 8 ms 2916 KB Output is correct
49 Correct 18 ms 3300 KB Output is correct
50 Correct 40 ms 4220 KB Output is correct
51 Correct 64 ms 5588 KB Output is correct
52 Correct 66 ms 5584 KB Output is correct
53 Correct 70 ms 5568 KB Output is correct
54 Correct 68 ms 5588 KB Output is correct
55 Correct 64 ms 5592 KB Output is correct
56 Correct 70 ms 5584 KB Output is correct
57 Correct 66 ms 7500 KB Output is correct
58 Correct 66 ms 4000 KB Output is correct
59 Correct 77 ms 6348 KB Output is correct
60 Correct 72 ms 6356 KB Output is correct
61 Correct 68 ms 8272 KB Output is correct
62 Correct 65 ms 8124 KB Output is correct
63 Correct 78 ms 8276 KB Output is correct
64 Correct 71 ms 8084 KB Output is correct
65 Correct 65 ms 8284 KB Output is correct
66 Correct 63 ms 8284 KB Output is correct
67 Correct 67 ms 8268 KB Output is correct
68 Correct 66 ms 8260 KB Output is correct
69 Correct 69 ms 8264 KB Output is correct
70 Correct 63 ms 8276 KB Output is correct
71 Correct 7 ms 4956 KB Output is correct
72 Correct 7 ms 4956 KB Output is correct
73 Correct 9 ms 4956 KB Output is correct
74 Correct 7 ms 4956 KB Output is correct
75 Correct 7 ms 4952 KB Output is correct
76 Correct 12 ms 5208 KB Output is correct
77 Correct 16 ms 5212 KB Output is correct
78 Correct 12 ms 5208 KB Output is correct
79 Correct 17 ms 4956 KB Output is correct
80 Correct 12 ms 5200 KB Output is correct
81 Correct 28 ms 5712 KB Output is correct
82 Correct 24 ms 5724 KB Output is correct
83 Correct 23 ms 5720 KB Output is correct
84 Correct 30 ms 5740 KB Output is correct
85 Correct 24 ms 5716 KB Output is correct
86 Correct 22 ms 5724 KB Output is correct
87 Correct 22 ms 5812 KB Output is correct
88 Correct 22 ms 5724 KB Output is correct
89 Correct 24 ms 5724 KB Output is correct
90 Correct 23 ms 5808 KB Output is correct
91 Correct 31 ms 8460 KB Output is correct
92 Correct 26 ms 8280 KB Output is correct
93 Correct 28 ms 8396 KB Output is correct
94 Correct 31 ms 8268 KB Output is correct
95 Correct 32 ms 8448 KB Output is correct
96 Correct 29 ms 8652 KB Output is correct
97 Correct 27 ms 8748 KB Output is correct
98 Correct 38 ms 8752 KB Output is correct
99 Correct 28 ms 8760 KB Output is correct
100 Correct 28 ms 8552 KB Output is correct
101 Correct 27 ms 8656 KB Output is correct
102 Correct 28 ms 8540 KB Output is correct
103 Correct 27 ms 8704 KB Output is correct
104 Correct 26 ms 8768 KB Output is correct
105 Correct 28 ms 8552 KB Output is correct
106 Correct 28 ms 8720 KB Output is correct
107 Correct 27 ms 8680 KB Output is correct
108 Correct 24 ms 8592 KB Output is correct
109 Correct 25 ms 8560 KB Output is correct
110 Correct 26 ms 8532 KB Output is correct
111 Correct 25 ms 8540 KB Output is correct
112 Correct 29 ms 8528 KB Output is correct
113 Correct 27 ms 8716 KB Output is correct
114 Correct 39 ms 8668 KB Output is correct
115 Correct 28 ms 8644 KB Output is correct
116 Correct 869 ms 4328 KB Output is correct
117 Correct 786 ms 4344 KB Output is correct
118 Correct 1583 ms 6748 KB Output is correct
119 Correct 1165 ms 6760 KB Output is correct
120 Correct 816 ms 6748 KB Output is correct
121 Correct 2206 ms 3940 KB Output is correct
122 Correct 1539 ms 7016 KB Output is correct
123 Execution timed out 7091 ms 6992 KB Time limit exceeded
124 Halted 0 ms 0 KB -