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Submission #971682

# Submission time Handle Problem Language Result Execution time Memory
971682 2024-04-29T07:46:55 Z Szil Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 7744 KB 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
 
const int MAXN = 300'001;
const int BLOCK = 350;
 
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 0 ms 2396 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 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 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 2396 KB Output is correct
4 Correct 13 ms 4700 KB Output is correct
5 Correct 24 ms 4956 KB Output is correct
6 Correct 44 ms 7256 KB Output is correct
7 Correct 35 ms 7256 KB Output is correct
8 Correct 39 ms 7256 KB Output is correct
9 Correct 38 ms 7260 KB Output is correct
10 Correct 38 ms 7516 KB Output is correct
11 Correct 39 ms 7256 KB Output is correct
12 Correct 42 ms 7652 KB Output is correct
13 Correct 39 ms 7360 KB Output is correct
14 Correct 39 ms 7256 KB Output is correct
15 Correct 38 ms 7256 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 2396 KB Output is correct
4 Correct 13 ms 4700 KB Output is correct
5 Correct 24 ms 4956 KB Output is correct
6 Correct 44 ms 7256 KB Output is correct
7 Correct 35 ms 7256 KB Output is correct
8 Correct 39 ms 7256 KB Output is correct
9 Correct 38 ms 7260 KB Output is correct
10 Correct 38 ms 7516 KB Output is correct
11 Correct 39 ms 7256 KB Output is correct
12 Correct 42 ms 7652 KB Output is correct
13 Correct 39 ms 7360 KB Output is correct
14 Correct 39 ms 7256 KB Output is correct
15 Correct 38 ms 7256 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 16 ms 4736 KB Output is correct
20 Correct 31 ms 4952 KB Output is correct
21 Correct 44 ms 7256 KB Output is correct
22 Correct 46 ms 7260 KB Output is correct
23 Correct 45 ms 7256 KB Output is correct
24 Correct 46 ms 7256 KB Output is correct
25 Correct 46 ms 7260 KB Output is correct
26 Correct 46 ms 7256 KB Output is correct
27 Correct 45 ms 7260 KB Output is correct
28 Correct 44 ms 7260 KB Output is correct
29 Correct 45 ms 7256 KB Output is correct
30 Correct 46 ms 7260 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 2396 KB Output is correct
4 Correct 13 ms 4700 KB Output is correct
5 Correct 24 ms 4956 KB Output is correct
6 Correct 44 ms 7256 KB Output is correct
7 Correct 35 ms 7256 KB Output is correct
8 Correct 39 ms 7256 KB Output is correct
9 Correct 38 ms 7260 KB Output is correct
10 Correct 38 ms 7516 KB Output is correct
11 Correct 39 ms 7256 KB Output is correct
12 Correct 42 ms 7652 KB Output is correct
13 Correct 39 ms 7360 KB Output is correct
14 Correct 39 ms 7256 KB Output is correct
15 Correct 38 ms 7256 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 16 ms 4736 KB Output is correct
20 Correct 31 ms 4952 KB Output is correct
21 Correct 44 ms 7256 KB Output is correct
22 Correct 46 ms 7260 KB Output is correct
23 Correct 45 ms 7256 KB Output is correct
24 Correct 46 ms 7256 KB Output is correct
25 Correct 46 ms 7260 KB Output is correct
26 Correct 46 ms 7256 KB Output is correct
27 Correct 45 ms 7260 KB Output is correct
28 Correct 44 ms 7260 KB Output is correct
29 Correct 45 ms 7256 KB Output is correct
30 Correct 46 ms 7260 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 4700 KB Output is correct
38 Correct 7 ms 4700 KB Output is correct
39 Correct 18 ms 4700 KB Output is correct
40 Correct 40 ms 5072 KB Output is correct
41 Correct 68 ms 7504 KB Output is correct
42 Correct 74 ms 7500 KB Output is correct
43 Correct 68 ms 7504 KB Output is correct
44 Correct 65 ms 7504 KB Output is correct
45 Correct 64 ms 7516 KB Output is correct
46 Correct 62 ms 7504 KB Output is correct
47 Correct 60 ms 7516 KB Output is correct
48 Correct 67 ms 7508 KB Output is correct
49 Correct 64 ms 7520 KB Output is correct
50 Correct 66 ms 7508 KB Output is correct
51 Correct 65 ms 7504 KB Output is correct
52 Correct 66 ms 7512 KB Output is correct
53 Correct 65 ms 7512 KB Output is correct
54 Correct 70 ms 7744 KB Output is correct
55 Correct 75 ms 7496 KB Output is correct
56 Correct 64 ms 7504 KB Output is correct
57 Correct 62 ms 7516 KB Output is correct
58 Correct 64 ms 7516 KB Output is correct
59 Correct 71 ms 7392 KB Output is correct
60 Correct 64 ms 7508 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 0 ms 2396 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 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 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 2396 KB Output is correct
14 Correct 13 ms 4700 KB Output is correct
15 Correct 24 ms 4956 KB Output is correct
16 Correct 44 ms 7256 KB Output is correct
17 Correct 35 ms 7256 KB Output is correct
18 Correct 39 ms 7256 KB Output is correct
19 Correct 38 ms 7260 KB Output is correct
20 Correct 38 ms 7516 KB Output is correct
21 Correct 39 ms 7256 KB Output is correct
22 Correct 42 ms 7652 KB Output is correct
23 Correct 39 ms 7360 KB Output is correct
24 Correct 39 ms 7256 KB Output is correct
25 Correct 38 ms 7256 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 16 ms 4736 KB Output is correct
30 Correct 31 ms 4952 KB Output is correct
31 Correct 44 ms 7256 KB Output is correct
32 Correct 46 ms 7260 KB Output is correct
33 Correct 45 ms 7256 KB Output is correct
34 Correct 46 ms 7256 KB Output is correct
35 Correct 46 ms 7260 KB Output is correct
36 Correct 46 ms 7256 KB Output is correct
37 Correct 45 ms 7260 KB Output is correct
38 Correct 44 ms 7260 KB Output is correct
39 Correct 45 ms 7256 KB Output is correct
40 Correct 46 ms 7260 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 4700 KB Output is correct
48 Correct 7 ms 4700 KB Output is correct
49 Correct 18 ms 4700 KB Output is correct
50 Correct 40 ms 5072 KB Output is correct
51 Correct 68 ms 7504 KB Output is correct
52 Correct 74 ms 7500 KB Output is correct
53 Correct 68 ms 7504 KB Output is correct
54 Correct 65 ms 7504 KB Output is correct
55 Correct 64 ms 7516 KB Output is correct
56 Correct 62 ms 7504 KB Output is correct
57 Correct 60 ms 7516 KB Output is correct
58 Correct 67 ms 7508 KB Output is correct
59 Correct 64 ms 7520 KB Output is correct
60 Correct 66 ms 7508 KB Output is correct
61 Correct 65 ms 7504 KB Output is correct
62 Correct 66 ms 7512 KB Output is correct
63 Correct 65 ms 7512 KB Output is correct
64 Correct 70 ms 7744 KB Output is correct
65 Correct 75 ms 7496 KB Output is correct
66 Correct 64 ms 7504 KB Output is correct
67 Correct 62 ms 7516 KB Output is correct
68 Correct 64 ms 7516 KB Output is correct
69 Correct 71 ms 7392 KB Output is correct
70 Correct 64 ms 7508 KB Output is correct
71 Correct 7 ms 4700 KB Output is correct
72 Correct 7 ms 4700 KB Output is correct
73 Correct 7 ms 4696 KB Output is correct
74 Correct 7 ms 4700 KB Output is correct
75 Correct 7 ms 4700 KB Output is correct
76 Correct 12 ms 4700 KB Output is correct
77 Correct 12 ms 4700 KB Output is correct
78 Correct 12 ms 4700 KB Output is correct
79 Correct 12 ms 4736 KB Output is correct
80 Correct 12 ms 4732 KB Output is correct
81 Correct 24 ms 4956 KB Output is correct
82 Correct 33 ms 4956 KB Output is correct
83 Correct 23 ms 4956 KB Output is correct
84 Correct 23 ms 4956 KB Output is correct
85 Correct 23 ms 4956 KB Output is correct
86 Correct 21 ms 4956 KB Output is correct
87 Correct 21 ms 5064 KB Output is correct
88 Correct 21 ms 4956 KB Output is correct
89 Correct 21 ms 5212 KB Output is correct
90 Correct 21 ms 4988 KB Output is correct
91 Correct 26 ms 7256 KB Output is correct
92 Correct 25 ms 7260 KB Output is correct
93 Correct 25 ms 7260 KB Output is correct
94 Correct 27 ms 7260 KB Output is correct
95 Correct 29 ms 7256 KB Output is correct
96 Correct 25 ms 7260 KB Output is correct
97 Correct 25 ms 7260 KB Output is correct
98 Correct 25 ms 7260 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 25 ms 7256 KB Output is correct
103 Correct 28 ms 7256 KB Output is correct
104 Correct 28 ms 7260 KB Output is correct
105 Correct 25 ms 7512 KB Output is correct
106 Correct 23 ms 7260 KB Output is correct
107 Correct 23 ms 7260 KB Output is correct
108 Correct 24 ms 7364 KB Output is correct
109 Correct 24 ms 7252 KB Output is correct
110 Correct 24 ms 7260 KB Output is correct
111 Correct 23 ms 7296 KB Output is correct
112 Correct 23 ms 7256 KB Output is correct
113 Correct 23 ms 7480 KB Output is correct
114 Correct 23 ms 7420 KB Output is correct
115 Correct 25 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 0 ms 2396 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 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 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 2396 KB Output is correct
14 Correct 13 ms 4700 KB Output is correct
15 Correct 24 ms 4956 KB Output is correct
16 Correct 44 ms 7256 KB Output is correct
17 Correct 35 ms 7256 KB Output is correct
18 Correct 39 ms 7256 KB Output is correct
19 Correct 38 ms 7260 KB Output is correct
20 Correct 38 ms 7516 KB Output is correct
21 Correct 39 ms 7256 KB Output is correct
22 Correct 42 ms 7652 KB Output is correct
23 Correct 39 ms 7360 KB Output is correct
24 Correct 39 ms 7256 KB Output is correct
25 Correct 38 ms 7256 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 16 ms 4736 KB Output is correct
30 Correct 31 ms 4952 KB Output is correct
31 Correct 44 ms 7256 KB Output is correct
32 Correct 46 ms 7260 KB Output is correct
33 Correct 45 ms 7256 KB Output is correct
34 Correct 46 ms 7256 KB Output is correct
35 Correct 46 ms 7260 KB Output is correct
36 Correct 46 ms 7256 KB Output is correct
37 Correct 45 ms 7260 KB Output is correct
38 Correct 44 ms 7260 KB Output is correct
39 Correct 45 ms 7256 KB Output is correct
40 Correct 46 ms 7260 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 4700 KB Output is correct
48 Correct 7 ms 4700 KB Output is correct
49 Correct 18 ms 4700 KB Output is correct
50 Correct 40 ms 5072 KB Output is correct
51 Correct 68 ms 7504 KB Output is correct
52 Correct 74 ms 7500 KB Output is correct
53 Correct 68 ms 7504 KB Output is correct
54 Correct 65 ms 7504 KB Output is correct
55 Correct 64 ms 7516 KB Output is correct
56 Correct 62 ms 7504 KB Output is correct
57 Correct 60 ms 7516 KB Output is correct
58 Correct 67 ms 7508 KB Output is correct
59 Correct 64 ms 7520 KB Output is correct
60 Correct 66 ms 7508 KB Output is correct
61 Correct 65 ms 7504 KB Output is correct
62 Correct 66 ms 7512 KB Output is correct
63 Correct 65 ms 7512 KB Output is correct
64 Correct 70 ms 7744 KB Output is correct
65 Correct 75 ms 7496 KB Output is correct
66 Correct 64 ms 7504 KB Output is correct
67 Correct 62 ms 7516 KB Output is correct
68 Correct 64 ms 7516 KB Output is correct
69 Correct 71 ms 7392 KB Output is correct
70 Correct 64 ms 7508 KB Output is correct
71 Correct 7 ms 4700 KB Output is correct
72 Correct 7 ms 4700 KB Output is correct
73 Correct 7 ms 4696 KB Output is correct
74 Correct 7 ms 4700 KB Output is correct
75 Correct 7 ms 4700 KB Output is correct
76 Correct 12 ms 4700 KB Output is correct
77 Correct 12 ms 4700 KB Output is correct
78 Correct 12 ms 4700 KB Output is correct
79 Correct 12 ms 4736 KB Output is correct
80 Correct 12 ms 4732 KB Output is correct
81 Correct 24 ms 4956 KB Output is correct
82 Correct 33 ms 4956 KB Output is correct
83 Correct 23 ms 4956 KB Output is correct
84 Correct 23 ms 4956 KB Output is correct
85 Correct 23 ms 4956 KB Output is correct
86 Correct 21 ms 4956 KB Output is correct
87 Correct 21 ms 5064 KB Output is correct
88 Correct 21 ms 4956 KB Output is correct
89 Correct 21 ms 5212 KB Output is correct
90 Correct 21 ms 4988 KB Output is correct
91 Correct 26 ms 7256 KB Output is correct
92 Correct 25 ms 7260 KB Output is correct
93 Correct 25 ms 7260 KB Output is correct
94 Correct 27 ms 7260 KB Output is correct
95 Correct 29 ms 7256 KB Output is correct
96 Correct 25 ms 7260 KB Output is correct
97 Correct 25 ms 7260 KB Output is correct
98 Correct 25 ms 7260 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 25 ms 7256 KB Output is correct
103 Correct 28 ms 7256 KB Output is correct
104 Correct 28 ms 7260 KB Output is correct
105 Correct 25 ms 7512 KB Output is correct
106 Correct 23 ms 7260 KB Output is correct
107 Correct 23 ms 7260 KB Output is correct
108 Correct 24 ms 7364 KB Output is correct
109 Correct 24 ms 7252 KB Output is correct
110 Correct 24 ms 7260 KB Output is correct
111 Correct 23 ms 7296 KB Output is correct
112 Correct 23 ms 7256 KB Output is correct
113 Correct 23 ms 7480 KB Output is correct
114 Correct 23 ms 7420 KB Output is correct
115 Correct 25 ms 7260 KB Output is correct
116 Correct 792 ms 3832 KB Output is correct
117 Correct 721 ms 3820 KB Output is correct
118 Correct 2001 ms 6228 KB Output is correct
119 Correct 1505 ms 6252 KB Output is correct
120 Correct 1030 ms 6256 KB Output is correct
121 Correct 3558 ms 6248 KB Output is correct
122 Correct 2488 ms 6236 KB Output is correct
123 Execution timed out 7052 ms 6080 KB Time limit exceeded
124 Halted 0 ms 0 KB -