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Submission #971696

# Submission time Handle Problem Language Result Execution time Memory
971696 2024-04-29T07:53:05 Z Szil Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 8108 KB 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
 
const int MAXN = 300'001;
const int BLOCK = 500;

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 2 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2392 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 4952 KB Output is correct
5 Correct 25 ms 4952 KB Output is correct
6 Correct 45 ms 7256 KB Output is correct
7 Correct 41 ms 7256 KB Output is correct
8 Correct 39 ms 7332 KB Output is correct
9 Correct 41 ms 7256 KB Output is correct
10 Correct 38 ms 7260 KB Output is correct
11 Correct 45 ms 7256 KB Output is correct
12 Correct 40 ms 7260 KB Output is correct
13 Correct 42 ms 7480 KB Output is correct
14 Correct 39 ms 7260 KB Output is correct
15 Correct 48 ms 7268 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 4952 KB Output is correct
5 Correct 25 ms 4952 KB Output is correct
6 Correct 45 ms 7256 KB Output is correct
7 Correct 41 ms 7256 KB Output is correct
8 Correct 39 ms 7332 KB Output is correct
9 Correct 41 ms 7256 KB Output is correct
10 Correct 38 ms 7260 KB Output is correct
11 Correct 45 ms 7256 KB Output is correct
12 Correct 40 ms 7260 KB Output is correct
13 Correct 42 ms 7480 KB Output is correct
14 Correct 39 ms 7260 KB Output is correct
15 Correct 48 ms 7268 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 2396 KB Output is correct
19 Correct 15 ms 4696 KB Output is correct
20 Correct 33 ms 4988 KB Output is correct
21 Correct 46 ms 7260 KB Output is correct
22 Correct 52 ms 7480 KB Output is correct
23 Correct 51 ms 7260 KB Output is correct
24 Correct 50 ms 7260 KB Output is correct
25 Correct 47 ms 7512 KB Output is correct
26 Correct 48 ms 7260 KB Output is correct
27 Correct 46 ms 7256 KB Output is correct
28 Correct 45 ms 7512 KB Output is correct
29 Correct 46 ms 7260 KB Output is correct
30 Correct 49 ms 7472 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 4952 KB Output is correct
5 Correct 25 ms 4952 KB Output is correct
6 Correct 45 ms 7256 KB Output is correct
7 Correct 41 ms 7256 KB Output is correct
8 Correct 39 ms 7332 KB Output is correct
9 Correct 41 ms 7256 KB Output is correct
10 Correct 38 ms 7260 KB Output is correct
11 Correct 45 ms 7256 KB Output is correct
12 Correct 40 ms 7260 KB Output is correct
13 Correct 42 ms 7480 KB Output is correct
14 Correct 39 ms 7260 KB Output is correct
15 Correct 48 ms 7268 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 2396 KB Output is correct
19 Correct 15 ms 4696 KB Output is correct
20 Correct 33 ms 4988 KB Output is correct
21 Correct 46 ms 7260 KB Output is correct
22 Correct 52 ms 7480 KB Output is correct
23 Correct 51 ms 7260 KB Output is correct
24 Correct 50 ms 7260 KB Output is correct
25 Correct 47 ms 7512 KB Output is correct
26 Correct 48 ms 7260 KB Output is correct
27 Correct 46 ms 7256 KB Output is correct
28 Correct 45 ms 7512 KB Output is correct
29 Correct 46 ms 7260 KB Output is correct
30 Correct 49 ms 7472 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 2 ms 2396 KB Output is correct
35 Correct 2 ms 2392 KB Output is correct
36 Correct 2 ms 2396 KB Output is correct
37 Correct 10 ms 4752 KB Output is correct
38 Correct 8 ms 4700 KB Output is correct
39 Correct 18 ms 4700 KB Output is correct
40 Correct 41 ms 4956 KB Output is correct
41 Correct 64 ms 7296 KB Output is correct
42 Correct 65 ms 7508 KB Output is correct
43 Correct 66 ms 7304 KB Output is correct
44 Correct 64 ms 7508 KB Output is correct
45 Correct 63 ms 7508 KB Output is correct
46 Correct 64 ms 7724 KB Output is correct
47 Correct 62 ms 7504 KB Output is correct
48 Correct 65 ms 7508 KB Output is correct
49 Correct 70 ms 7508 KB Output is correct
50 Correct 65 ms 7512 KB Output is correct
51 Correct 64 ms 7492 KB Output is correct
52 Correct 63 ms 7496 KB Output is correct
53 Correct 70 ms 7512 KB Output is correct
54 Correct 64 ms 7516 KB Output is correct
55 Correct 68 ms 7508 KB Output is correct
56 Correct 63 ms 7500 KB Output is correct
57 Correct 62 ms 7504 KB Output is correct
58 Correct 62 ms 7508 KB Output is correct
59 Correct 63 ms 7504 KB Output is correct
60 Correct 62 ms 7516 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 2 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2392 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 4952 KB Output is correct
15 Correct 25 ms 4952 KB Output is correct
16 Correct 45 ms 7256 KB Output is correct
17 Correct 41 ms 7256 KB Output is correct
18 Correct 39 ms 7332 KB Output is correct
19 Correct 41 ms 7256 KB Output is correct
20 Correct 38 ms 7260 KB Output is correct
21 Correct 45 ms 7256 KB Output is correct
22 Correct 40 ms 7260 KB Output is correct
23 Correct 42 ms 7480 KB Output is correct
24 Correct 39 ms 7260 KB Output is correct
25 Correct 48 ms 7268 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 2396 KB Output is correct
29 Correct 15 ms 4696 KB Output is correct
30 Correct 33 ms 4988 KB Output is correct
31 Correct 46 ms 7260 KB Output is correct
32 Correct 52 ms 7480 KB Output is correct
33 Correct 51 ms 7260 KB Output is correct
34 Correct 50 ms 7260 KB Output is correct
35 Correct 47 ms 7512 KB Output is correct
36 Correct 48 ms 7260 KB Output is correct
37 Correct 46 ms 7256 KB Output is correct
38 Correct 45 ms 7512 KB Output is correct
39 Correct 46 ms 7260 KB Output is correct
40 Correct 49 ms 7472 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 2 ms 2396 KB Output is correct
45 Correct 2 ms 2392 KB Output is correct
46 Correct 2 ms 2396 KB Output is correct
47 Correct 10 ms 4752 KB Output is correct
48 Correct 8 ms 4700 KB Output is correct
49 Correct 18 ms 4700 KB Output is correct
50 Correct 41 ms 4956 KB Output is correct
51 Correct 64 ms 7296 KB Output is correct
52 Correct 65 ms 7508 KB Output is correct
53 Correct 66 ms 7304 KB Output is correct
54 Correct 64 ms 7508 KB Output is correct
55 Correct 63 ms 7508 KB Output is correct
56 Correct 64 ms 7724 KB Output is correct
57 Correct 62 ms 7504 KB Output is correct
58 Correct 65 ms 7508 KB Output is correct
59 Correct 70 ms 7508 KB Output is correct
60 Correct 65 ms 7512 KB Output is correct
61 Correct 64 ms 7492 KB Output is correct
62 Correct 63 ms 7496 KB Output is correct
63 Correct 70 ms 7512 KB Output is correct
64 Correct 64 ms 7516 KB Output is correct
65 Correct 68 ms 7508 KB Output is correct
66 Correct 63 ms 7500 KB Output is correct
67 Correct 62 ms 7504 KB Output is correct
68 Correct 62 ms 7508 KB Output is correct
69 Correct 63 ms 7504 KB Output is correct
70 Correct 62 ms 7516 KB Output is correct
71 Correct 7 ms 4696 KB Output is correct
72 Correct 7 ms 4700 KB Output is correct
73 Correct 7 ms 4700 KB Output is correct
74 Correct 7 ms 4700 KB Output is correct
75 Correct 7 ms 4732 KB Output is correct
76 Correct 12 ms 4732 KB Output is correct
77 Correct 12 ms 4700 KB Output is correct
78 Correct 12 ms 4736 KB Output is correct
79 Correct 12 ms 4700 KB Output is correct
80 Correct 12 ms 4700 KB Output is correct
81 Correct 25 ms 4952 KB Output is correct
82 Correct 22 ms 4956 KB Output is correct
83 Correct 25 ms 4952 KB Output is correct
84 Correct 23 ms 4956 KB Output is correct
85 Correct 23 ms 5068 KB Output is correct
86 Correct 21 ms 5056 KB Output is correct
87 Correct 22 ms 5028 KB Output is correct
88 Correct 21 ms 5000 KB Output is correct
89 Correct 21 ms 5308 KB Output is correct
90 Correct 25 ms 4956 KB Output is correct
91 Correct 31 ms 7344 KB Output is correct
92 Correct 26 ms 7260 KB Output is correct
93 Correct 26 ms 7256 KB Output is correct
94 Correct 25 ms 7260 KB Output is correct
95 Correct 28 ms 7260 KB Output is correct
96 Correct 33 ms 7504 KB Output is correct
97 Correct 28 ms 7504 KB Output is correct
98 Correct 25 ms 7248 KB Output is correct
99 Correct 25 ms 7256 KB Output is correct
100 Correct 26 ms 7260 KB Output is correct
101 Correct 26 ms 7384 KB Output is correct
102 Correct 25 ms 7256 KB Output is correct
103 Correct 25 ms 7260 KB Output is correct
104 Correct 25 ms 7396 KB Output is correct
105 Correct 25 ms 7488 KB Output is correct
106 Correct 24 ms 7260 KB Output is correct
107 Correct 27 ms 7256 KB Output is correct
108 Correct 24 ms 7312 KB Output is correct
109 Correct 24 ms 7296 KB Output is correct
110 Correct 24 ms 7260 KB Output is correct
111 Correct 24 ms 7360 KB Output is correct
112 Correct 23 ms 7260 KB Output is correct
113 Correct 24 ms 7272 KB Output is correct
114 Correct 28 ms 7292 KB Output is correct
115 Correct 28 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 2 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2392 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 4952 KB Output is correct
15 Correct 25 ms 4952 KB Output is correct
16 Correct 45 ms 7256 KB Output is correct
17 Correct 41 ms 7256 KB Output is correct
18 Correct 39 ms 7332 KB Output is correct
19 Correct 41 ms 7256 KB Output is correct
20 Correct 38 ms 7260 KB Output is correct
21 Correct 45 ms 7256 KB Output is correct
22 Correct 40 ms 7260 KB Output is correct
23 Correct 42 ms 7480 KB Output is correct
24 Correct 39 ms 7260 KB Output is correct
25 Correct 48 ms 7268 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 2396 KB Output is correct
29 Correct 15 ms 4696 KB Output is correct
30 Correct 33 ms 4988 KB Output is correct
31 Correct 46 ms 7260 KB Output is correct
32 Correct 52 ms 7480 KB Output is correct
33 Correct 51 ms 7260 KB Output is correct
34 Correct 50 ms 7260 KB Output is correct
35 Correct 47 ms 7512 KB Output is correct
36 Correct 48 ms 7260 KB Output is correct
37 Correct 46 ms 7256 KB Output is correct
38 Correct 45 ms 7512 KB Output is correct
39 Correct 46 ms 7260 KB Output is correct
40 Correct 49 ms 7472 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 2 ms 2396 KB Output is correct
45 Correct 2 ms 2392 KB Output is correct
46 Correct 2 ms 2396 KB Output is correct
47 Correct 10 ms 4752 KB Output is correct
48 Correct 8 ms 4700 KB Output is correct
49 Correct 18 ms 4700 KB Output is correct
50 Correct 41 ms 4956 KB Output is correct
51 Correct 64 ms 7296 KB Output is correct
52 Correct 65 ms 7508 KB Output is correct
53 Correct 66 ms 7304 KB Output is correct
54 Correct 64 ms 7508 KB Output is correct
55 Correct 63 ms 7508 KB Output is correct
56 Correct 64 ms 7724 KB Output is correct
57 Correct 62 ms 7504 KB Output is correct
58 Correct 65 ms 7508 KB Output is correct
59 Correct 70 ms 7508 KB Output is correct
60 Correct 65 ms 7512 KB Output is correct
61 Correct 64 ms 7492 KB Output is correct
62 Correct 63 ms 7496 KB Output is correct
63 Correct 70 ms 7512 KB Output is correct
64 Correct 64 ms 7516 KB Output is correct
65 Correct 68 ms 7508 KB Output is correct
66 Correct 63 ms 7500 KB Output is correct
67 Correct 62 ms 7504 KB Output is correct
68 Correct 62 ms 7508 KB Output is correct
69 Correct 63 ms 7504 KB Output is correct
70 Correct 62 ms 7516 KB Output is correct
71 Correct 7 ms 4696 KB Output is correct
72 Correct 7 ms 4700 KB Output is correct
73 Correct 7 ms 4700 KB Output is correct
74 Correct 7 ms 4700 KB Output is correct
75 Correct 7 ms 4732 KB Output is correct
76 Correct 12 ms 4732 KB Output is correct
77 Correct 12 ms 4700 KB Output is correct
78 Correct 12 ms 4736 KB Output is correct
79 Correct 12 ms 4700 KB Output is correct
80 Correct 12 ms 4700 KB Output is correct
81 Correct 25 ms 4952 KB Output is correct
82 Correct 22 ms 4956 KB Output is correct
83 Correct 25 ms 4952 KB Output is correct
84 Correct 23 ms 4956 KB Output is correct
85 Correct 23 ms 5068 KB Output is correct
86 Correct 21 ms 5056 KB Output is correct
87 Correct 22 ms 5028 KB Output is correct
88 Correct 21 ms 5000 KB Output is correct
89 Correct 21 ms 5308 KB Output is correct
90 Correct 25 ms 4956 KB Output is correct
91 Correct 31 ms 7344 KB Output is correct
92 Correct 26 ms 7260 KB Output is correct
93 Correct 26 ms 7256 KB Output is correct
94 Correct 25 ms 7260 KB Output is correct
95 Correct 28 ms 7260 KB Output is correct
96 Correct 33 ms 7504 KB Output is correct
97 Correct 28 ms 7504 KB Output is correct
98 Correct 25 ms 7248 KB Output is correct
99 Correct 25 ms 7256 KB Output is correct
100 Correct 26 ms 7260 KB Output is correct
101 Correct 26 ms 7384 KB Output is correct
102 Correct 25 ms 7256 KB Output is correct
103 Correct 25 ms 7260 KB Output is correct
104 Correct 25 ms 7396 KB Output is correct
105 Correct 25 ms 7488 KB Output is correct
106 Correct 24 ms 7260 KB Output is correct
107 Correct 27 ms 7256 KB Output is correct
108 Correct 24 ms 7312 KB Output is correct
109 Correct 24 ms 7296 KB Output is correct
110 Correct 24 ms 7260 KB Output is correct
111 Correct 24 ms 7360 KB Output is correct
112 Correct 23 ms 7260 KB Output is correct
113 Correct 24 ms 7272 KB Output is correct
114 Correct 28 ms 7292 KB Output is correct
115 Correct 28 ms 7260 KB Output is correct
116 Correct 1047 ms 3824 KB Output is correct
117 Correct 940 ms 3832 KB Output is correct
118 Correct 1725 ms 6236 KB Output is correct
119 Correct 1249 ms 6244 KB Output is correct
120 Correct 855 ms 6232 KB Output is correct
121 Correct 2033 ms 6256 KB Output is correct
122 Correct 1407 ms 6244 KB Output is correct
123 Correct 6471 ms 6596 KB Output is correct
124 Correct 3080 ms 6576 KB Output is correct
125 Correct 2257 ms 6636 KB Output is correct
126 Execution timed out 7013 ms 8108 KB Time limit exceeded
127 Halted 0 ms 0 KB -