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Submission #971706

# Submission time Handle Problem Language Result Execution time Memory
971706 2024-04-29T08:00:01 Z Szil Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 14940 KB 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
 
const int MAXN = 300'001;
const int BLOCK = 650;

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]]--;
    }
    b[v]++;
    c[b[v]]++;
}
 
void remove(int i) {
    int v = a[i];
    c[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 == 0) continue;
            if (cnt & 1) {
                push(len, 1);
                cnt--;
            }
            push(len, cnt/2);
            push(len, cnt/2);
        }

        for (auto it = c.begin(); it != c.end(); it++) {
            auto [len, cnt] = *it;
            if (cnt == 0) {
                it = c.erase(it);
                it--;
            }
        }
 
        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 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 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 2396 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2588 KB Output is correct
4 Correct 19 ms 5976 KB Output is correct
5 Correct 44 ms 8540 KB Output is correct
6 Correct 64 ms 10064 KB Output is correct
7 Correct 70 ms 14940 KB Output is correct
8 Correct 62 ms 9868 KB Output is correct
9 Correct 64 ms 10000 KB Output is correct
10 Correct 72 ms 11976 KB Output is correct
11 Correct 64 ms 10804 KB Output is correct
12 Correct 63 ms 9888 KB Output is correct
13 Correct 64 ms 9596 KB Output is correct
14 Correct 65 ms 11088 KB Output is correct
15 Correct 64 ms 10600 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2588 KB Output is correct
4 Correct 19 ms 5976 KB Output is correct
5 Correct 44 ms 8540 KB Output is correct
6 Correct 64 ms 10064 KB Output is correct
7 Correct 70 ms 14940 KB Output is correct
8 Correct 62 ms 9868 KB Output is correct
9 Correct 64 ms 10000 KB Output is correct
10 Correct 72 ms 11976 KB Output is correct
11 Correct 64 ms 10804 KB Output is correct
12 Correct 63 ms 9888 KB Output is correct
13 Correct 64 ms 9596 KB Output is correct
14 Correct 65 ms 11088 KB Output is correct
15 Correct 64 ms 10600 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 2 ms 2652 KB Output is correct
19 Correct 19 ms 5468 KB Output is correct
20 Correct 39 ms 6496 KB Output is correct
21 Correct 66 ms 10068 KB Output is correct
22 Correct 61 ms 9144 KB Output is correct
23 Correct 69 ms 9812 KB Output is correct
24 Correct 68 ms 9148 KB Output is correct
25 Correct 59 ms 9300 KB Output is correct
26 Correct 60 ms 9200 KB Output is correct
27 Correct 64 ms 9440 KB Output is correct
28 Correct 67 ms 11088 KB Output is correct
29 Correct 61 ms 9296 KB Output is correct
30 Correct 61 ms 9496 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2588 KB Output is correct
4 Correct 19 ms 5976 KB Output is correct
5 Correct 44 ms 8540 KB Output is correct
6 Correct 64 ms 10064 KB Output is correct
7 Correct 70 ms 14940 KB Output is correct
8 Correct 62 ms 9868 KB Output is correct
9 Correct 64 ms 10000 KB Output is correct
10 Correct 72 ms 11976 KB Output is correct
11 Correct 64 ms 10804 KB Output is correct
12 Correct 63 ms 9888 KB Output is correct
13 Correct 64 ms 9596 KB Output is correct
14 Correct 65 ms 11088 KB Output is correct
15 Correct 64 ms 10600 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 2 ms 2652 KB Output is correct
19 Correct 19 ms 5468 KB Output is correct
20 Correct 39 ms 6496 KB Output is correct
21 Correct 66 ms 10068 KB Output is correct
22 Correct 61 ms 9144 KB Output is correct
23 Correct 69 ms 9812 KB Output is correct
24 Correct 68 ms 9148 KB Output is correct
25 Correct 59 ms 9300 KB Output is correct
26 Correct 60 ms 9200 KB Output is correct
27 Correct 64 ms 9440 KB Output is correct
28 Correct 67 ms 11088 KB Output is correct
29 Correct 61 ms 9296 KB Output is correct
30 Correct 61 ms 9496 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2392 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 2 ms 2396 KB Output is correct
35 Correct 2 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 8 ms 5212 KB Output is correct
38 Correct 8 ms 4696 KB Output is correct
39 Correct 13 ms 4712 KB Output is correct
40 Correct 28 ms 4956 KB Output is correct
41 Correct 43 ms 7516 KB Output is correct
42 Correct 44 ms 7516 KB Output is correct
43 Correct 43 ms 7512 KB Output is correct
44 Correct 44 ms 7520 KB Output is correct
45 Correct 46 ms 7512 KB Output is correct
46 Correct 43 ms 7504 KB Output is correct
47 Correct 43 ms 7504 KB Output is correct
48 Correct 43 ms 7512 KB Output is correct
49 Correct 43 ms 7396 KB Output is correct
50 Correct 49 ms 7548 KB Output is correct
51 Correct 44 ms 7556 KB Output is correct
52 Correct 44 ms 7504 KB Output is correct
53 Correct 44 ms 7512 KB Output is correct
54 Correct 45 ms 7504 KB Output is correct
55 Correct 48 ms 7516 KB Output is correct
56 Correct 43 ms 7504 KB Output is correct
57 Correct 46 ms 8020 KB Output is correct
58 Correct 43 ms 7548 KB Output is correct
59 Correct 43 ms 7588 KB Output is correct
60 Correct 44 ms 7552 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 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 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 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 2 ms 2588 KB Output is correct
14 Correct 19 ms 5976 KB Output is correct
15 Correct 44 ms 8540 KB Output is correct
16 Correct 64 ms 10064 KB Output is correct
17 Correct 70 ms 14940 KB Output is correct
18 Correct 62 ms 9868 KB Output is correct
19 Correct 64 ms 10000 KB Output is correct
20 Correct 72 ms 11976 KB Output is correct
21 Correct 64 ms 10804 KB Output is correct
22 Correct 63 ms 9888 KB Output is correct
23 Correct 64 ms 9596 KB Output is correct
24 Correct 65 ms 11088 KB Output is correct
25 Correct 64 ms 10600 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 19 ms 5468 KB Output is correct
30 Correct 39 ms 6496 KB Output is correct
31 Correct 66 ms 10068 KB Output is correct
32 Correct 61 ms 9144 KB Output is correct
33 Correct 69 ms 9812 KB Output is correct
34 Correct 68 ms 9148 KB Output is correct
35 Correct 59 ms 9300 KB Output is correct
36 Correct 60 ms 9200 KB Output is correct
37 Correct 64 ms 9440 KB Output is correct
38 Correct 67 ms 11088 KB Output is correct
39 Correct 61 ms 9296 KB Output is correct
40 Correct 61 ms 9496 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 1 ms 2392 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 2 ms 2396 KB Output is correct
45 Correct 2 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 8 ms 5212 KB Output is correct
48 Correct 8 ms 4696 KB Output is correct
49 Correct 13 ms 4712 KB Output is correct
50 Correct 28 ms 4956 KB Output is correct
51 Correct 43 ms 7516 KB Output is correct
52 Correct 44 ms 7516 KB Output is correct
53 Correct 43 ms 7512 KB Output is correct
54 Correct 44 ms 7520 KB Output is correct
55 Correct 46 ms 7512 KB Output is correct
56 Correct 43 ms 7504 KB Output is correct
57 Correct 43 ms 7504 KB Output is correct
58 Correct 43 ms 7512 KB Output is correct
59 Correct 43 ms 7396 KB Output is correct
60 Correct 49 ms 7548 KB Output is correct
61 Correct 44 ms 7556 KB Output is correct
62 Correct 44 ms 7504 KB Output is correct
63 Correct 44 ms 7512 KB Output is correct
64 Correct 45 ms 7504 KB Output is correct
65 Correct 48 ms 7516 KB Output is correct
66 Correct 43 ms 7504 KB Output is correct
67 Correct 46 ms 8020 KB Output is correct
68 Correct 43 ms 7548 KB Output is correct
69 Correct 43 ms 7588 KB Output is correct
70 Correct 44 ms 7552 KB Output is correct
71 Correct 6 ms 4700 KB Output is correct
72 Correct 6 ms 4748 KB Output is correct
73 Correct 6 ms 4700 KB Output is correct
74 Correct 6 ms 4740 KB Output is correct
75 Correct 6 ms 4696 KB Output is correct
76 Correct 10 ms 4700 KB Output is correct
77 Correct 10 ms 4736 KB Output is correct
78 Correct 11 ms 4696 KB Output is correct
79 Correct 11 ms 4700 KB Output is correct
80 Correct 11 ms 4700 KB Output is correct
81 Correct 21 ms 4956 KB Output is correct
82 Correct 22 ms 4956 KB Output is correct
83 Correct 20 ms 4956 KB Output is correct
84 Correct 21 ms 4996 KB Output is correct
85 Correct 20 ms 4956 KB Output is correct
86 Correct 20 ms 4952 KB Output is correct
87 Correct 21 ms 5068 KB Output is correct
88 Correct 21 ms 4988 KB Output is correct
89 Correct 20 ms 4956 KB Output is correct
90 Correct 22 ms 4952 KB Output is correct
91 Correct 29 ms 7260 KB Output is correct
92 Correct 25 ms 7256 KB Output is correct
93 Correct 25 ms 7260 KB Output is correct
94 Correct 25 ms 7256 KB Output is correct
95 Correct 25 ms 7260 KB Output is correct
96 Correct 25 ms 7260 KB Output is correct
97 Correct 29 ms 7288 KB Output is correct
98 Correct 30 ms 7396 KB Output is correct
99 Correct 25 ms 7256 KB Output is correct
100 Correct 26 ms 7368 KB Output is correct
101 Correct 25 ms 7260 KB Output is correct
102 Correct 26 ms 7344 KB Output is correct
103 Correct 27 ms 7256 KB Output is correct
104 Correct 28 ms 7256 KB Output is correct
105 Correct 26 ms 7252 KB Output is correct
106 Correct 25 ms 7260 KB Output is correct
107 Correct 24 ms 7492 KB Output is correct
108 Correct 23 ms 7256 KB Output is correct
109 Correct 24 ms 7300 KB Output is correct
110 Correct 27 ms 7300 KB Output is correct
111 Correct 23 ms 7256 KB Output is correct
112 Correct 24 ms 7404 KB Output is correct
113 Correct 25 ms 7260 KB Output is correct
114 Correct 25 ms 7260 KB Output is correct
115 Correct 25 ms 7512 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 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 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 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 2 ms 2588 KB Output is correct
14 Correct 19 ms 5976 KB Output is correct
15 Correct 44 ms 8540 KB Output is correct
16 Correct 64 ms 10064 KB Output is correct
17 Correct 70 ms 14940 KB Output is correct
18 Correct 62 ms 9868 KB Output is correct
19 Correct 64 ms 10000 KB Output is correct
20 Correct 72 ms 11976 KB Output is correct
21 Correct 64 ms 10804 KB Output is correct
22 Correct 63 ms 9888 KB Output is correct
23 Correct 64 ms 9596 KB Output is correct
24 Correct 65 ms 11088 KB Output is correct
25 Correct 64 ms 10600 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 19 ms 5468 KB Output is correct
30 Correct 39 ms 6496 KB Output is correct
31 Correct 66 ms 10068 KB Output is correct
32 Correct 61 ms 9144 KB Output is correct
33 Correct 69 ms 9812 KB Output is correct
34 Correct 68 ms 9148 KB Output is correct
35 Correct 59 ms 9300 KB Output is correct
36 Correct 60 ms 9200 KB Output is correct
37 Correct 64 ms 9440 KB Output is correct
38 Correct 67 ms 11088 KB Output is correct
39 Correct 61 ms 9296 KB Output is correct
40 Correct 61 ms 9496 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 1 ms 2392 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 2 ms 2396 KB Output is correct
45 Correct 2 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 8 ms 5212 KB Output is correct
48 Correct 8 ms 4696 KB Output is correct
49 Correct 13 ms 4712 KB Output is correct
50 Correct 28 ms 4956 KB Output is correct
51 Correct 43 ms 7516 KB Output is correct
52 Correct 44 ms 7516 KB Output is correct
53 Correct 43 ms 7512 KB Output is correct
54 Correct 44 ms 7520 KB Output is correct
55 Correct 46 ms 7512 KB Output is correct
56 Correct 43 ms 7504 KB Output is correct
57 Correct 43 ms 7504 KB Output is correct
58 Correct 43 ms 7512 KB Output is correct
59 Correct 43 ms 7396 KB Output is correct
60 Correct 49 ms 7548 KB Output is correct
61 Correct 44 ms 7556 KB Output is correct
62 Correct 44 ms 7504 KB Output is correct
63 Correct 44 ms 7512 KB Output is correct
64 Correct 45 ms 7504 KB Output is correct
65 Correct 48 ms 7516 KB Output is correct
66 Correct 43 ms 7504 KB Output is correct
67 Correct 46 ms 8020 KB Output is correct
68 Correct 43 ms 7548 KB Output is correct
69 Correct 43 ms 7588 KB Output is correct
70 Correct 44 ms 7552 KB Output is correct
71 Correct 6 ms 4700 KB Output is correct
72 Correct 6 ms 4748 KB Output is correct
73 Correct 6 ms 4700 KB Output is correct
74 Correct 6 ms 4740 KB Output is correct
75 Correct 6 ms 4696 KB Output is correct
76 Correct 10 ms 4700 KB Output is correct
77 Correct 10 ms 4736 KB Output is correct
78 Correct 11 ms 4696 KB Output is correct
79 Correct 11 ms 4700 KB Output is correct
80 Correct 11 ms 4700 KB Output is correct
81 Correct 21 ms 4956 KB Output is correct
82 Correct 22 ms 4956 KB Output is correct
83 Correct 20 ms 4956 KB Output is correct
84 Correct 21 ms 4996 KB Output is correct
85 Correct 20 ms 4956 KB Output is correct
86 Correct 20 ms 4952 KB Output is correct
87 Correct 21 ms 5068 KB Output is correct
88 Correct 21 ms 4988 KB Output is correct
89 Correct 20 ms 4956 KB Output is correct
90 Correct 22 ms 4952 KB Output is correct
91 Correct 29 ms 7260 KB Output is correct
92 Correct 25 ms 7256 KB Output is correct
93 Correct 25 ms 7260 KB Output is correct
94 Correct 25 ms 7256 KB Output is correct
95 Correct 25 ms 7260 KB Output is correct
96 Correct 25 ms 7260 KB Output is correct
97 Correct 29 ms 7288 KB Output is correct
98 Correct 30 ms 7396 KB Output is correct
99 Correct 25 ms 7256 KB Output is correct
100 Correct 26 ms 7368 KB Output is correct
101 Correct 25 ms 7260 KB Output is correct
102 Correct 26 ms 7344 KB Output is correct
103 Correct 27 ms 7256 KB Output is correct
104 Correct 28 ms 7256 KB Output is correct
105 Correct 26 ms 7252 KB Output is correct
106 Correct 25 ms 7260 KB Output is correct
107 Correct 24 ms 7492 KB Output is correct
108 Correct 23 ms 7256 KB Output is correct
109 Correct 24 ms 7300 KB Output is correct
110 Correct 27 ms 7300 KB Output is correct
111 Correct 23 ms 7256 KB Output is correct
112 Correct 24 ms 7404 KB Output is correct
113 Correct 25 ms 7260 KB Output is correct
114 Correct 25 ms 7260 KB Output is correct
115 Correct 25 ms 7512 KB Output is correct
116 Correct 1237 ms 3856 KB Output is correct
117 Correct 998 ms 3840 KB Output is correct
118 Correct 1941 ms 6264 KB Output is correct
119 Correct 1159 ms 6256 KB Output is correct
120 Correct 818 ms 6240 KB Output is correct
121 Correct 1557 ms 6256 KB Output is correct
122 Correct 1138 ms 6240 KB Output is correct
123 Correct 4110 ms 6736 KB Output is correct
124 Correct 2077 ms 6568 KB Output is correct
125 Correct 1497 ms 6560 KB Output is correct
126 Execution timed out 7054 ms 8272 KB Time limit exceeded
127 Halted 0 ms 0 KB -