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Submission #971694

# Submission time Handle Problem Language Result Execution time Memory
971694 2024-04-29T07:51:51 Z Szil Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 9836 KB 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
 
const int MAXN = 300'001;
const int BLOCK = 450;

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 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 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 2648 KB Output is correct
10 Correct 0 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 2396 KB Output is correct
4 Correct 13 ms 4700 KB Output is correct
5 Correct 25 ms 5464 KB Output is correct
6 Correct 43 ms 8028 KB Output is correct
7 Correct 36 ms 8028 KB Output is correct
8 Correct 41 ms 8028 KB Output is correct
9 Correct 40 ms 8284 KB Output is correct
10 Correct 39 ms 8028 KB Output is correct
11 Correct 45 ms 8008 KB Output is correct
12 Correct 46 ms 8024 KB Output is correct
13 Correct 40 ms 8028 KB Output is correct
14 Correct 39 ms 8024 KB Output is correct
15 Correct 39 ms 8028 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 2396 KB Output is correct
4 Correct 13 ms 4700 KB Output is correct
5 Correct 25 ms 5464 KB Output is correct
6 Correct 43 ms 8028 KB Output is correct
7 Correct 36 ms 8028 KB Output is correct
8 Correct 41 ms 8028 KB Output is correct
9 Correct 40 ms 8284 KB Output is correct
10 Correct 39 ms 8028 KB Output is correct
11 Correct 45 ms 8008 KB Output is correct
12 Correct 46 ms 8024 KB Output is correct
13 Correct 40 ms 8028 KB Output is correct
14 Correct 39 ms 8024 KB Output is correct
15 Correct 39 ms 8028 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 2 ms 2544 KB Output is correct
19 Correct 15 ms 4952 KB Output is correct
20 Correct 31 ms 5716 KB Output is correct
21 Correct 55 ms 8272 KB Output is correct
22 Correct 47 ms 8028 KB Output is correct
23 Correct 47 ms 8276 KB Output is correct
24 Correct 46 ms 8284 KB Output is correct
25 Correct 47 ms 8048 KB Output is correct
26 Correct 47 ms 8028 KB Output is correct
27 Correct 49 ms 8424 KB Output is correct
28 Correct 46 ms 8024 KB Output is correct
29 Correct 46 ms 8028 KB Output is correct
30 Correct 56 ms 8280 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 2396 KB Output is correct
4 Correct 13 ms 4700 KB Output is correct
5 Correct 25 ms 5464 KB Output is correct
6 Correct 43 ms 8028 KB Output is correct
7 Correct 36 ms 8028 KB Output is correct
8 Correct 41 ms 8028 KB Output is correct
9 Correct 40 ms 8284 KB Output is correct
10 Correct 39 ms 8028 KB Output is correct
11 Correct 45 ms 8008 KB Output is correct
12 Correct 46 ms 8024 KB Output is correct
13 Correct 40 ms 8028 KB Output is correct
14 Correct 39 ms 8024 KB Output is correct
15 Correct 39 ms 8028 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 2 ms 2544 KB Output is correct
19 Correct 15 ms 4952 KB Output is correct
20 Correct 31 ms 5716 KB Output is correct
21 Correct 55 ms 8272 KB Output is correct
22 Correct 47 ms 8028 KB Output is correct
23 Correct 47 ms 8276 KB Output is correct
24 Correct 46 ms 8284 KB Output is correct
25 Correct 47 ms 8048 KB Output is correct
26 Correct 47 ms 8028 KB Output is correct
27 Correct 49 ms 8424 KB Output is correct
28 Correct 46 ms 8024 KB Output is correct
29 Correct 46 ms 8028 KB Output is correct
30 Correct 56 ms 8280 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 2392 KB Output is correct
34 Correct 2 ms 2392 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 4700 KB Output is correct
38 Correct 8 ms 4928 KB Output is correct
39 Correct 18 ms 4952 KB Output is correct
40 Correct 41 ms 5836 KB Output is correct
41 Correct 63 ms 8536 KB Output is correct
42 Correct 62 ms 8536 KB Output is correct
43 Correct 64 ms 8540 KB Output is correct
44 Correct 63 ms 8652 KB Output is correct
45 Correct 63 ms 8540 KB Output is correct
46 Correct 61 ms 8532 KB Output is correct
47 Correct 62 ms 8536 KB Output is correct
48 Correct 64 ms 8528 KB Output is correct
49 Correct 61 ms 8640 KB Output is correct
50 Correct 63 ms 8644 KB Output is correct
51 Correct 65 ms 8648 KB Output is correct
52 Correct 66 ms 8640 KB Output is correct
53 Correct 66 ms 8796 KB Output is correct
54 Correct 67 ms 8640 KB Output is correct
55 Correct 61 ms 8664 KB Output is correct
56 Correct 66 ms 8540 KB Output is correct
57 Correct 61 ms 8536 KB Output is correct
58 Correct 64 ms 8664 KB Output is correct
59 Correct 63 ms 8604 KB Output is correct
60 Correct 63 ms 8644 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 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 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 2648 KB Output is correct
10 Correct 0 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 2396 KB Output is correct
14 Correct 13 ms 4700 KB Output is correct
15 Correct 25 ms 5464 KB Output is correct
16 Correct 43 ms 8028 KB Output is correct
17 Correct 36 ms 8028 KB Output is correct
18 Correct 41 ms 8028 KB Output is correct
19 Correct 40 ms 8284 KB Output is correct
20 Correct 39 ms 8028 KB Output is correct
21 Correct 45 ms 8008 KB Output is correct
22 Correct 46 ms 8024 KB Output is correct
23 Correct 40 ms 8028 KB Output is correct
24 Correct 39 ms 8024 KB Output is correct
25 Correct 39 ms 8028 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2544 KB Output is correct
29 Correct 15 ms 4952 KB Output is correct
30 Correct 31 ms 5716 KB Output is correct
31 Correct 55 ms 8272 KB Output is correct
32 Correct 47 ms 8028 KB Output is correct
33 Correct 47 ms 8276 KB Output is correct
34 Correct 46 ms 8284 KB Output is correct
35 Correct 47 ms 8048 KB Output is correct
36 Correct 47 ms 8028 KB Output is correct
37 Correct 49 ms 8424 KB Output is correct
38 Correct 46 ms 8024 KB Output is correct
39 Correct 46 ms 8028 KB Output is correct
40 Correct 56 ms 8280 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 2392 KB Output is correct
44 Correct 2 ms 2392 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 4700 KB Output is correct
48 Correct 8 ms 4928 KB Output is correct
49 Correct 18 ms 4952 KB Output is correct
50 Correct 41 ms 5836 KB Output is correct
51 Correct 63 ms 8536 KB Output is correct
52 Correct 62 ms 8536 KB Output is correct
53 Correct 64 ms 8540 KB Output is correct
54 Correct 63 ms 8652 KB Output is correct
55 Correct 63 ms 8540 KB Output is correct
56 Correct 61 ms 8532 KB Output is correct
57 Correct 62 ms 8536 KB Output is correct
58 Correct 64 ms 8528 KB Output is correct
59 Correct 61 ms 8640 KB Output is correct
60 Correct 63 ms 8644 KB Output is correct
61 Correct 65 ms 8648 KB Output is correct
62 Correct 66 ms 8640 KB Output is correct
63 Correct 66 ms 8796 KB Output is correct
64 Correct 67 ms 8640 KB Output is correct
65 Correct 61 ms 8664 KB Output is correct
66 Correct 66 ms 8540 KB Output is correct
67 Correct 61 ms 8536 KB Output is correct
68 Correct 64 ms 8664 KB Output is correct
69 Correct 63 ms 8604 KB Output is correct
70 Correct 63 ms 8644 KB Output is correct
71 Correct 8 ms 4952 KB Output is correct
72 Correct 7 ms 4956 KB Output is correct
73 Correct 7 ms 4744 KB Output is correct
74 Correct 7 ms 4956 KB Output is correct
75 Correct 7 ms 4956 KB Output is correct
76 Correct 14 ms 5208 KB Output is correct
77 Correct 11 ms 5212 KB Output is correct
78 Correct 13 ms 5204 KB Output is correct
79 Correct 11 ms 5204 KB Output is correct
80 Correct 12 ms 5212 KB Output is correct
81 Correct 24 ms 6004 KB Output is correct
82 Correct 22 ms 5996 KB Output is correct
83 Correct 22 ms 6124 KB Output is correct
84 Correct 23 ms 6008 KB Output is correct
85 Correct 23 ms 5980 KB Output is correct
86 Correct 22 ms 5980 KB Output is correct
87 Correct 22 ms 6032 KB Output is correct
88 Correct 23 ms 5980 KB Output is correct
89 Correct 21 ms 6128 KB Output is correct
90 Correct 23 ms 5960 KB Output is correct
91 Correct 26 ms 9052 KB Output is correct
92 Correct 26 ms 9052 KB Output is correct
93 Correct 25 ms 9052 KB Output is correct
94 Correct 25 ms 9052 KB Output is correct
95 Correct 25 ms 9164 KB Output is correct
96 Correct 28 ms 9304 KB Output is correct
97 Correct 25 ms 9368 KB Output is correct
98 Correct 25 ms 9208 KB Output is correct
99 Correct 28 ms 9240 KB Output is correct
100 Correct 27 ms 9140 KB Output is correct
101 Correct 26 ms 9300 KB Output is correct
102 Correct 29 ms 9308 KB Output is correct
103 Correct 25 ms 9308 KB Output is correct
104 Correct 28 ms 9308 KB Output is correct
105 Correct 26 ms 9300 KB Output is correct
106 Correct 25 ms 9308 KB Output is correct
107 Correct 24 ms 9300 KB Output is correct
108 Correct 26 ms 9200 KB Output is correct
109 Correct 24 ms 9304 KB Output is correct
110 Correct 24 ms 9560 KB Output is correct
111 Correct 24 ms 9296 KB Output is correct
112 Correct 25 ms 9388 KB Output is correct
113 Correct 25 ms 9296 KB Output is correct
114 Correct 23 ms 9192 KB Output is correct
115 Correct 25 ms 9300 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 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 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 2648 KB Output is correct
10 Correct 0 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 2396 KB Output is correct
14 Correct 13 ms 4700 KB Output is correct
15 Correct 25 ms 5464 KB Output is correct
16 Correct 43 ms 8028 KB Output is correct
17 Correct 36 ms 8028 KB Output is correct
18 Correct 41 ms 8028 KB Output is correct
19 Correct 40 ms 8284 KB Output is correct
20 Correct 39 ms 8028 KB Output is correct
21 Correct 45 ms 8008 KB Output is correct
22 Correct 46 ms 8024 KB Output is correct
23 Correct 40 ms 8028 KB Output is correct
24 Correct 39 ms 8024 KB Output is correct
25 Correct 39 ms 8028 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2544 KB Output is correct
29 Correct 15 ms 4952 KB Output is correct
30 Correct 31 ms 5716 KB Output is correct
31 Correct 55 ms 8272 KB Output is correct
32 Correct 47 ms 8028 KB Output is correct
33 Correct 47 ms 8276 KB Output is correct
34 Correct 46 ms 8284 KB Output is correct
35 Correct 47 ms 8048 KB Output is correct
36 Correct 47 ms 8028 KB Output is correct
37 Correct 49 ms 8424 KB Output is correct
38 Correct 46 ms 8024 KB Output is correct
39 Correct 46 ms 8028 KB Output is correct
40 Correct 56 ms 8280 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 2392 KB Output is correct
44 Correct 2 ms 2392 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 4700 KB Output is correct
48 Correct 8 ms 4928 KB Output is correct
49 Correct 18 ms 4952 KB Output is correct
50 Correct 41 ms 5836 KB Output is correct
51 Correct 63 ms 8536 KB Output is correct
52 Correct 62 ms 8536 KB Output is correct
53 Correct 64 ms 8540 KB Output is correct
54 Correct 63 ms 8652 KB Output is correct
55 Correct 63 ms 8540 KB Output is correct
56 Correct 61 ms 8532 KB Output is correct
57 Correct 62 ms 8536 KB Output is correct
58 Correct 64 ms 8528 KB Output is correct
59 Correct 61 ms 8640 KB Output is correct
60 Correct 63 ms 8644 KB Output is correct
61 Correct 65 ms 8648 KB Output is correct
62 Correct 66 ms 8640 KB Output is correct
63 Correct 66 ms 8796 KB Output is correct
64 Correct 67 ms 8640 KB Output is correct
65 Correct 61 ms 8664 KB Output is correct
66 Correct 66 ms 8540 KB Output is correct
67 Correct 61 ms 8536 KB Output is correct
68 Correct 64 ms 8664 KB Output is correct
69 Correct 63 ms 8604 KB Output is correct
70 Correct 63 ms 8644 KB Output is correct
71 Correct 8 ms 4952 KB Output is correct
72 Correct 7 ms 4956 KB Output is correct
73 Correct 7 ms 4744 KB Output is correct
74 Correct 7 ms 4956 KB Output is correct
75 Correct 7 ms 4956 KB Output is correct
76 Correct 14 ms 5208 KB Output is correct
77 Correct 11 ms 5212 KB Output is correct
78 Correct 13 ms 5204 KB Output is correct
79 Correct 11 ms 5204 KB Output is correct
80 Correct 12 ms 5212 KB Output is correct
81 Correct 24 ms 6004 KB Output is correct
82 Correct 22 ms 5996 KB Output is correct
83 Correct 22 ms 6124 KB Output is correct
84 Correct 23 ms 6008 KB Output is correct
85 Correct 23 ms 5980 KB Output is correct
86 Correct 22 ms 5980 KB Output is correct
87 Correct 22 ms 6032 KB Output is correct
88 Correct 23 ms 5980 KB Output is correct
89 Correct 21 ms 6128 KB Output is correct
90 Correct 23 ms 5960 KB Output is correct
91 Correct 26 ms 9052 KB Output is correct
92 Correct 26 ms 9052 KB Output is correct
93 Correct 25 ms 9052 KB Output is correct
94 Correct 25 ms 9052 KB Output is correct
95 Correct 25 ms 9164 KB Output is correct
96 Correct 28 ms 9304 KB Output is correct
97 Correct 25 ms 9368 KB Output is correct
98 Correct 25 ms 9208 KB Output is correct
99 Correct 28 ms 9240 KB Output is correct
100 Correct 27 ms 9140 KB Output is correct
101 Correct 26 ms 9300 KB Output is correct
102 Correct 29 ms 9308 KB Output is correct
103 Correct 25 ms 9308 KB Output is correct
104 Correct 28 ms 9308 KB Output is correct
105 Correct 26 ms 9300 KB Output is correct
106 Correct 25 ms 9308 KB Output is correct
107 Correct 24 ms 9300 KB Output is correct
108 Correct 26 ms 9200 KB Output is correct
109 Correct 24 ms 9304 KB Output is correct
110 Correct 24 ms 9560 KB Output is correct
111 Correct 24 ms 9296 KB Output is correct
112 Correct 25 ms 9388 KB Output is correct
113 Correct 25 ms 9296 KB Output is correct
114 Correct 23 ms 9192 KB Output is correct
115 Correct 25 ms 9300 KB Output is correct
116 Correct 963 ms 4332 KB Output is correct
117 Correct 887 ms 4332 KB Output is correct
118 Correct 1675 ms 6828 KB Output is correct
119 Correct 1212 ms 7004 KB Output is correct
120 Correct 803 ms 6996 KB Output is correct
121 Correct 2093 ms 7216 KB Output is correct
122 Correct 1424 ms 7504 KB Output is correct
123 Correct 6849 ms 7984 KB Output is correct
124 Correct 3178 ms 8140 KB Output is correct
125 Correct 2437 ms 8148 KB Output is correct
126 Execution timed out 7034 ms 9836 KB Time limit exceeded
127 Halted 0 ms 0 KB -