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Submission #971685

# Submission time Handle Problem Language Result Execution time Memory
971685 2024-04-29T07:48:17 Z Szil Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 7520 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 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 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2648 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 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 4700 KB Output is correct
5 Correct 24 ms 4952 KB Output is correct
6 Correct 44 ms 7484 KB Output is correct
7 Correct 35 ms 7260 KB Output is correct
8 Correct 39 ms 7260 KB Output is correct
9 Correct 45 ms 7516 KB Output is correct
10 Correct 37 ms 7260 KB Output is correct
11 Correct 39 ms 7260 KB Output is correct
12 Correct 39 ms 7300 KB Output is correct
13 Correct 39 ms 7260 KB Output is correct
14 Correct 38 ms 7256 KB Output is correct
15 Correct 37 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 4700 KB Output is correct
5 Correct 24 ms 4952 KB Output is correct
6 Correct 44 ms 7484 KB Output is correct
7 Correct 35 ms 7260 KB Output is correct
8 Correct 39 ms 7260 KB Output is correct
9 Correct 45 ms 7516 KB Output is correct
10 Correct 37 ms 7260 KB Output is correct
11 Correct 39 ms 7260 KB Output is correct
12 Correct 39 ms 7300 KB Output is correct
13 Correct 39 ms 7260 KB Output is correct
14 Correct 38 ms 7256 KB Output is correct
15 Correct 37 ms 7260 KB Output is correct
16 Correct 1 ms 2648 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 2 ms 2396 KB Output is correct
19 Correct 15 ms 4700 KB Output is correct
20 Correct 31 ms 4952 KB Output is correct
21 Correct 46 ms 7260 KB Output is correct
22 Correct 46 ms 7256 KB Output is correct
23 Correct 45 ms 7260 KB Output is correct
24 Correct 46 ms 7508 KB Output is correct
25 Correct 46 ms 7260 KB Output is correct
26 Correct 46 ms 7260 KB Output is correct
27 Correct 45 ms 7504 KB Output is correct
28 Correct 44 ms 7260 KB Output is correct
29 Correct 45 ms 7260 KB Output is correct
30 Correct 46 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 4700 KB Output is correct
5 Correct 24 ms 4952 KB Output is correct
6 Correct 44 ms 7484 KB Output is correct
7 Correct 35 ms 7260 KB Output is correct
8 Correct 39 ms 7260 KB Output is correct
9 Correct 45 ms 7516 KB Output is correct
10 Correct 37 ms 7260 KB Output is correct
11 Correct 39 ms 7260 KB Output is correct
12 Correct 39 ms 7300 KB Output is correct
13 Correct 39 ms 7260 KB Output is correct
14 Correct 38 ms 7256 KB Output is correct
15 Correct 37 ms 7260 KB Output is correct
16 Correct 1 ms 2648 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 2 ms 2396 KB Output is correct
19 Correct 15 ms 4700 KB Output is correct
20 Correct 31 ms 4952 KB Output is correct
21 Correct 46 ms 7260 KB Output is correct
22 Correct 46 ms 7256 KB Output is correct
23 Correct 45 ms 7260 KB Output is correct
24 Correct 46 ms 7508 KB Output is correct
25 Correct 46 ms 7260 KB Output is correct
26 Correct 46 ms 7260 KB Output is correct
27 Correct 45 ms 7504 KB Output is correct
28 Correct 44 ms 7260 KB Output is correct
29 Correct 45 ms 7260 KB Output is correct
30 Correct 46 ms 7480 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 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 2396 KB Output is correct
37 Correct 9 ms 4744 KB Output is correct
38 Correct 8 ms 4700 KB Output is correct
39 Correct 17 ms 4744 KB Output is correct
40 Correct 40 ms 5080 KB Output is correct
41 Correct 68 ms 7500 KB Output is correct
42 Correct 64 ms 7516 KB Output is correct
43 Correct 63 ms 7500 KB Output is correct
44 Correct 63 ms 7504 KB Output is correct
45 Correct 65 ms 7496 KB Output is correct
46 Correct 64 ms 7512 KB Output is correct
47 Correct 68 ms 7508 KB Output is correct
48 Correct 61 ms 7512 KB Output is correct
49 Correct 61 ms 7504 KB Output is correct
50 Correct 62 ms 7512 KB Output is correct
51 Correct 68 ms 7508 KB Output is correct
52 Correct 61 ms 7492 KB Output is correct
53 Correct 62 ms 7516 KB Output is correct
54 Correct 61 ms 7516 KB Output is correct
55 Correct 61 ms 7504 KB Output is correct
56 Correct 63 ms 7512 KB Output is correct
57 Correct 65 ms 7520 KB Output is correct
58 Correct 67 ms 7516 KB Output is correct
59 Correct 63 ms 7512 KB Output is correct
60 Correct 62 ms 7504 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 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2648 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 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 4700 KB Output is correct
15 Correct 24 ms 4952 KB Output is correct
16 Correct 44 ms 7484 KB Output is correct
17 Correct 35 ms 7260 KB Output is correct
18 Correct 39 ms 7260 KB Output is correct
19 Correct 45 ms 7516 KB Output is correct
20 Correct 37 ms 7260 KB Output is correct
21 Correct 39 ms 7260 KB Output is correct
22 Correct 39 ms 7300 KB Output is correct
23 Correct 39 ms 7260 KB Output is correct
24 Correct 38 ms 7256 KB Output is correct
25 Correct 37 ms 7260 KB Output is correct
26 Correct 1 ms 2648 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 15 ms 4700 KB Output is correct
30 Correct 31 ms 4952 KB Output is correct
31 Correct 46 ms 7260 KB Output is correct
32 Correct 46 ms 7256 KB Output is correct
33 Correct 45 ms 7260 KB Output is correct
34 Correct 46 ms 7508 KB Output is correct
35 Correct 46 ms 7260 KB Output is correct
36 Correct 46 ms 7260 KB Output is correct
37 Correct 45 ms 7504 KB Output is correct
38 Correct 44 ms 7260 KB Output is correct
39 Correct 45 ms 7260 KB Output is correct
40 Correct 46 ms 7480 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 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 2396 KB Output is correct
47 Correct 9 ms 4744 KB Output is correct
48 Correct 8 ms 4700 KB Output is correct
49 Correct 17 ms 4744 KB Output is correct
50 Correct 40 ms 5080 KB Output is correct
51 Correct 68 ms 7500 KB Output is correct
52 Correct 64 ms 7516 KB Output is correct
53 Correct 63 ms 7500 KB Output is correct
54 Correct 63 ms 7504 KB Output is correct
55 Correct 65 ms 7496 KB Output is correct
56 Correct 64 ms 7512 KB Output is correct
57 Correct 68 ms 7508 KB Output is correct
58 Correct 61 ms 7512 KB Output is correct
59 Correct 61 ms 7504 KB Output is correct
60 Correct 62 ms 7512 KB Output is correct
61 Correct 68 ms 7508 KB Output is correct
62 Correct 61 ms 7492 KB Output is correct
63 Correct 62 ms 7516 KB Output is correct
64 Correct 61 ms 7516 KB Output is correct
65 Correct 61 ms 7504 KB Output is correct
66 Correct 63 ms 7512 KB Output is correct
67 Correct 65 ms 7520 KB Output is correct
68 Correct 67 ms 7516 KB Output is correct
69 Correct 63 ms 7512 KB Output is correct
70 Correct 62 ms 7504 KB Output is correct
71 Correct 7 ms 4700 KB Output is correct
72 Correct 6 ms 4536 KB Output is correct
73 Correct 7 ms 4700 KB Output is correct
74 Correct 6 ms 4700 KB Output is correct
75 Correct 7 ms 4740 KB Output is correct
76 Correct 11 ms 4696 KB Output is correct
77 Correct 11 ms 4700 KB Output is correct
78 Correct 11 ms 4700 KB Output is correct
79 Correct 11 ms 4696 KB Output is correct
80 Correct 11 ms 4700 KB Output is correct
81 Correct 26 ms 4956 KB Output is correct
82 Correct 24 ms 4956 KB Output is correct
83 Correct 23 ms 4956 KB Output is correct
84 Correct 22 ms 4956 KB Output is correct
85 Correct 25 ms 4956 KB Output is correct
86 Correct 23 ms 5124 KB Output is correct
87 Correct 21 ms 4952 KB Output is correct
88 Correct 20 ms 4956 KB Output is correct
89 Correct 20 ms 4996 KB Output is correct
90 Correct 23 ms 5056 KB Output is correct
91 Correct 26 ms 7260 KB Output is correct
92 Correct 25 ms 7260 KB Output is correct
93 Correct 27 ms 7260 KB Output is correct
94 Correct 28 ms 7288 KB Output is correct
95 Correct 28 ms 7260 KB Output is correct
96 Correct 26 ms 7260 KB Output is correct
97 Correct 27 ms 7436 KB Output is correct
98 Correct 25 ms 7256 KB Output is correct
99 Correct 25 ms 7260 KB Output is correct
100 Correct 25 ms 7260 KB Output is correct
101 Correct 25 ms 7260 KB Output is correct
102 Correct 24 ms 7260 KB Output is correct
103 Correct 27 ms 7260 KB Output is correct
104 Correct 25 ms 7260 KB Output is correct
105 Correct 27 ms 7504 KB Output is correct
106 Correct 23 ms 7460 KB Output is correct
107 Correct 23 ms 7256 KB Output is correct
108 Correct 24 ms 7260 KB Output is correct
109 Correct 24 ms 7260 KB Output is correct
110 Correct 23 ms 7260 KB Output is correct
111 Correct 23 ms 7464 KB Output is correct
112 Correct 30 ms 7428 KB Output is correct
113 Correct 26 ms 7260 KB Output is correct
114 Correct 27 ms 7256 KB Output is correct
115 Correct 24 ms 7260 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 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2648 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 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 4700 KB Output is correct
15 Correct 24 ms 4952 KB Output is correct
16 Correct 44 ms 7484 KB Output is correct
17 Correct 35 ms 7260 KB Output is correct
18 Correct 39 ms 7260 KB Output is correct
19 Correct 45 ms 7516 KB Output is correct
20 Correct 37 ms 7260 KB Output is correct
21 Correct 39 ms 7260 KB Output is correct
22 Correct 39 ms 7300 KB Output is correct
23 Correct 39 ms 7260 KB Output is correct
24 Correct 38 ms 7256 KB Output is correct
25 Correct 37 ms 7260 KB Output is correct
26 Correct 1 ms 2648 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 15 ms 4700 KB Output is correct
30 Correct 31 ms 4952 KB Output is correct
31 Correct 46 ms 7260 KB Output is correct
32 Correct 46 ms 7256 KB Output is correct
33 Correct 45 ms 7260 KB Output is correct
34 Correct 46 ms 7508 KB Output is correct
35 Correct 46 ms 7260 KB Output is correct
36 Correct 46 ms 7260 KB Output is correct
37 Correct 45 ms 7504 KB Output is correct
38 Correct 44 ms 7260 KB Output is correct
39 Correct 45 ms 7260 KB Output is correct
40 Correct 46 ms 7480 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 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 2396 KB Output is correct
47 Correct 9 ms 4744 KB Output is correct
48 Correct 8 ms 4700 KB Output is correct
49 Correct 17 ms 4744 KB Output is correct
50 Correct 40 ms 5080 KB Output is correct
51 Correct 68 ms 7500 KB Output is correct
52 Correct 64 ms 7516 KB Output is correct
53 Correct 63 ms 7500 KB Output is correct
54 Correct 63 ms 7504 KB Output is correct
55 Correct 65 ms 7496 KB Output is correct
56 Correct 64 ms 7512 KB Output is correct
57 Correct 68 ms 7508 KB Output is correct
58 Correct 61 ms 7512 KB Output is correct
59 Correct 61 ms 7504 KB Output is correct
60 Correct 62 ms 7512 KB Output is correct
61 Correct 68 ms 7508 KB Output is correct
62 Correct 61 ms 7492 KB Output is correct
63 Correct 62 ms 7516 KB Output is correct
64 Correct 61 ms 7516 KB Output is correct
65 Correct 61 ms 7504 KB Output is correct
66 Correct 63 ms 7512 KB Output is correct
67 Correct 65 ms 7520 KB Output is correct
68 Correct 67 ms 7516 KB Output is correct
69 Correct 63 ms 7512 KB Output is correct
70 Correct 62 ms 7504 KB Output is correct
71 Correct 7 ms 4700 KB Output is correct
72 Correct 6 ms 4536 KB Output is correct
73 Correct 7 ms 4700 KB Output is correct
74 Correct 6 ms 4700 KB Output is correct
75 Correct 7 ms 4740 KB Output is correct
76 Correct 11 ms 4696 KB Output is correct
77 Correct 11 ms 4700 KB Output is correct
78 Correct 11 ms 4700 KB Output is correct
79 Correct 11 ms 4696 KB Output is correct
80 Correct 11 ms 4700 KB Output is correct
81 Correct 26 ms 4956 KB Output is correct
82 Correct 24 ms 4956 KB Output is correct
83 Correct 23 ms 4956 KB Output is correct
84 Correct 22 ms 4956 KB Output is correct
85 Correct 25 ms 4956 KB Output is correct
86 Correct 23 ms 5124 KB Output is correct
87 Correct 21 ms 4952 KB Output is correct
88 Correct 20 ms 4956 KB Output is correct
89 Correct 20 ms 4996 KB Output is correct
90 Correct 23 ms 5056 KB Output is correct
91 Correct 26 ms 7260 KB Output is correct
92 Correct 25 ms 7260 KB Output is correct
93 Correct 27 ms 7260 KB Output is correct
94 Correct 28 ms 7288 KB Output is correct
95 Correct 28 ms 7260 KB Output is correct
96 Correct 26 ms 7260 KB Output is correct
97 Correct 27 ms 7436 KB Output is correct
98 Correct 25 ms 7256 KB Output is correct
99 Correct 25 ms 7260 KB Output is correct
100 Correct 25 ms 7260 KB Output is correct
101 Correct 25 ms 7260 KB Output is correct
102 Correct 24 ms 7260 KB Output is correct
103 Correct 27 ms 7260 KB Output is correct
104 Correct 25 ms 7260 KB Output is correct
105 Correct 27 ms 7504 KB Output is correct
106 Correct 23 ms 7460 KB Output is correct
107 Correct 23 ms 7256 KB Output is correct
108 Correct 24 ms 7260 KB Output is correct
109 Correct 24 ms 7260 KB Output is correct
110 Correct 23 ms 7260 KB Output is correct
111 Correct 23 ms 7464 KB Output is correct
112 Correct 30 ms 7428 KB Output is correct
113 Correct 26 ms 7260 KB Output is correct
114 Correct 27 ms 7256 KB Output is correct
115 Correct 24 ms 7260 KB Output is correct
116 Correct 878 ms 3820 KB Output is correct
117 Correct 794 ms 3828 KB Output is correct
118 Correct 1997 ms 6240 KB Output is correct
119 Correct 1484 ms 6244 KB Output is correct
120 Correct 1029 ms 6236 KB Output is correct
121 Correct 3300 ms 6244 KB Output is correct
122 Correct 2322 ms 6248 KB Output is correct
123 Execution timed out 7078 ms 6052 KB Time limit exceeded
124 Halted 0 ms 0 KB -