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Submission #971681

# Submission time Handle Problem Language Result Execution time Memory
971681 2024-04-29T07:45:45 Z Szil Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 9576 KB 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
 
const int MAXN = 300'001;
const int BLOCK = 300;
 
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 468 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
7 Correct 1 ms 2404 KB Output is correct
8 Correct 0 ms 348 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 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 2 ms 2396 KB Output is correct
4 Correct 13 ms 4928 KB Output is correct
5 Correct 29 ms 3160 KB Output is correct
6 Correct 40 ms 4444 KB Output is correct
7 Correct 35 ms 4580 KB Output is correct
8 Correct 42 ms 8024 KB Output is correct
9 Correct 49 ms 5976 KB Output is correct
10 Correct 37 ms 8024 KB Output is correct
11 Correct 39 ms 8028 KB Output is correct
12 Correct 52 ms 8148 KB Output is correct
13 Correct 43 ms 8192 KB Output is correct
14 Correct 39 ms 8112 KB Output is correct
15 Correct 49 ms 8024 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 2 ms 2396 KB Output is correct
4 Correct 13 ms 4928 KB Output is correct
5 Correct 29 ms 3160 KB Output is correct
6 Correct 40 ms 4444 KB Output is correct
7 Correct 35 ms 4580 KB Output is correct
8 Correct 42 ms 8024 KB Output is correct
9 Correct 49 ms 5976 KB Output is correct
10 Correct 37 ms 8024 KB Output is correct
11 Correct 39 ms 8028 KB Output is correct
12 Correct 52 ms 8148 KB Output is correct
13 Correct 43 ms 8192 KB Output is correct
14 Correct 39 ms 8112 KB Output is correct
15 Correct 49 ms 8024 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 4836 KB Output is correct
20 Correct 41 ms 5584 KB Output is correct
21 Correct 56 ms 4704 KB Output is correct
22 Correct 50 ms 4752 KB Output is correct
23 Correct 49 ms 4772 KB Output is correct
24 Correct 50 ms 8276 KB Output is correct
25 Correct 59 ms 8264 KB Output is correct
26 Correct 48 ms 8180 KB Output is correct
27 Correct 48 ms 4700 KB Output is correct
28 Correct 46 ms 6228 KB Output is correct
29 Correct 47 ms 8236 KB Output is correct
30 Correct 47 ms 6236 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 2 ms 2396 KB Output is correct
4 Correct 13 ms 4928 KB Output is correct
5 Correct 29 ms 3160 KB Output is correct
6 Correct 40 ms 4444 KB Output is correct
7 Correct 35 ms 4580 KB Output is correct
8 Correct 42 ms 8024 KB Output is correct
9 Correct 49 ms 5976 KB Output is correct
10 Correct 37 ms 8024 KB Output is correct
11 Correct 39 ms 8028 KB Output is correct
12 Correct 52 ms 8148 KB Output is correct
13 Correct 43 ms 8192 KB Output is correct
14 Correct 39 ms 8112 KB Output is correct
15 Correct 49 ms 8024 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 4836 KB Output is correct
20 Correct 41 ms 5584 KB Output is correct
21 Correct 56 ms 4704 KB Output is correct
22 Correct 50 ms 4752 KB Output is correct
23 Correct 49 ms 4772 KB Output is correct
24 Correct 50 ms 8276 KB Output is correct
25 Correct 59 ms 8264 KB Output is correct
26 Correct 48 ms 8180 KB Output is correct
27 Correct 48 ms 4700 KB Output is correct
28 Correct 46 ms 6228 KB Output is correct
29 Correct 47 ms 8236 KB Output is correct
30 Correct 47 ms 6236 KB Output is correct
31 Correct 1 ms 2392 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 604 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 9 ms 1268 KB Output is correct
38 Correct 8 ms 1116 KB Output is correct
39 Correct 18 ms 1884 KB Output is correct
40 Correct 41 ms 5172 KB Output is correct
41 Correct 72 ms 8796 KB Output is correct
42 Correct 65 ms 6660 KB Output is correct
43 Correct 62 ms 8536 KB Output is correct
44 Correct 62 ms 4960 KB Output is correct
45 Correct 67 ms 4968 KB Output is correct
46 Correct 64 ms 8656 KB Output is correct
47 Correct 63 ms 4952 KB Output is correct
48 Correct 68 ms 5144 KB Output is correct
49 Correct 70 ms 8640 KB Output is correct
50 Correct 69 ms 5172 KB Output is correct
51 Correct 62 ms 5148 KB Output is correct
52 Correct 61 ms 5148 KB Output is correct
53 Correct 66 ms 5140 KB Output is correct
54 Correct 73 ms 4972 KB Output is correct
55 Correct 63 ms 5148 KB Output is correct
56 Correct 62 ms 8540 KB Output is correct
57 Correct 64 ms 6728 KB Output is correct
58 Correct 63 ms 8536 KB Output is correct
59 Correct 86 ms 6728 KB Output is correct
60 Correct 62 ms 6724 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
7 Correct 1 ms 2404 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 2 ms 2396 KB Output is correct
14 Correct 13 ms 4928 KB Output is correct
15 Correct 29 ms 3160 KB Output is correct
16 Correct 40 ms 4444 KB Output is correct
17 Correct 35 ms 4580 KB Output is correct
18 Correct 42 ms 8024 KB Output is correct
19 Correct 49 ms 5976 KB Output is correct
20 Correct 37 ms 8024 KB Output is correct
21 Correct 39 ms 8028 KB Output is correct
22 Correct 52 ms 8148 KB Output is correct
23 Correct 43 ms 8192 KB Output is correct
24 Correct 39 ms 8112 KB Output is correct
25 Correct 49 ms 8024 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 4836 KB Output is correct
30 Correct 41 ms 5584 KB Output is correct
31 Correct 56 ms 4704 KB Output is correct
32 Correct 50 ms 4752 KB Output is correct
33 Correct 49 ms 4772 KB Output is correct
34 Correct 50 ms 8276 KB Output is correct
35 Correct 59 ms 8264 KB Output is correct
36 Correct 48 ms 8180 KB Output is correct
37 Correct 48 ms 4700 KB Output is correct
38 Correct 46 ms 6228 KB Output is correct
39 Correct 47 ms 8236 KB Output is correct
40 Correct 47 ms 6236 KB Output is correct
41 Correct 1 ms 2392 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 604 KB Output is correct
45 Correct 2 ms 604 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 9 ms 1268 KB Output is correct
48 Correct 8 ms 1116 KB Output is correct
49 Correct 18 ms 1884 KB Output is correct
50 Correct 41 ms 5172 KB Output is correct
51 Correct 72 ms 8796 KB Output is correct
52 Correct 65 ms 6660 KB Output is correct
53 Correct 62 ms 8536 KB Output is correct
54 Correct 62 ms 4960 KB Output is correct
55 Correct 67 ms 4968 KB Output is correct
56 Correct 64 ms 8656 KB Output is correct
57 Correct 63 ms 4952 KB Output is correct
58 Correct 68 ms 5144 KB Output is correct
59 Correct 70 ms 8640 KB Output is correct
60 Correct 69 ms 5172 KB Output is correct
61 Correct 62 ms 5148 KB Output is correct
62 Correct 61 ms 5148 KB Output is correct
63 Correct 66 ms 5140 KB Output is correct
64 Correct 73 ms 4972 KB Output is correct
65 Correct 63 ms 5148 KB Output is correct
66 Correct 62 ms 8540 KB Output is correct
67 Correct 64 ms 6728 KB Output is correct
68 Correct 63 ms 8536 KB Output is correct
69 Correct 86 ms 6728 KB Output is correct
70 Correct 62 ms 6724 KB Output is correct
71 Correct 7 ms 4952 KB Output is correct
72 Correct 10 ms 4956 KB Output is correct
73 Correct 8 ms 1116 KB Output is correct
74 Correct 9 ms 1112 KB Output is correct
75 Correct 7 ms 4832 KB Output is correct
76 Correct 13 ms 5212 KB Output is correct
77 Correct 12 ms 2136 KB Output is correct
78 Correct 11 ms 3800 KB Output is correct
79 Correct 12 ms 3764 KB Output is correct
80 Correct 16 ms 2140 KB Output is correct
81 Correct 25 ms 3676 KB Output is correct
82 Correct 23 ms 6020 KB Output is correct
83 Correct 24 ms 3740 KB Output is correct
84 Correct 24 ms 3676 KB Output is correct
85 Correct 24 ms 3808 KB Output is correct
86 Correct 22 ms 3912 KB Output is correct
87 Correct 22 ms 6080 KB Output is correct
88 Correct 22 ms 4184 KB Output is correct
89 Correct 28 ms 5460 KB Output is correct
90 Correct 27 ms 5980 KB Output is correct
91 Correct 26 ms 5944 KB Output is correct
92 Correct 26 ms 6056 KB Output is correct
93 Correct 26 ms 5976 KB Output is correct
94 Correct 26 ms 6120 KB Output is correct
95 Correct 28 ms 9052 KB Output is correct
96 Correct 27 ms 6648 KB Output is correct
97 Correct 26 ms 6592 KB Output is correct
98 Correct 26 ms 7248 KB Output is correct
99 Correct 28 ms 6484 KB Output is correct
100 Correct 25 ms 9324 KB Output is correct
101 Correct 27 ms 9576 KB Output is correct
102 Correct 33 ms 6492 KB Output is correct
103 Correct 28 ms 6532 KB Output is correct
104 Correct 26 ms 9156 KB Output is correct
105 Correct 40 ms 6484 KB Output is correct
106 Correct 26 ms 7652 KB Output is correct
107 Correct 28 ms 6800 KB Output is correct
108 Correct 36 ms 9324 KB Output is correct
109 Correct 27 ms 6748 KB Output is correct
110 Correct 25 ms 6764 KB Output is correct
111 Correct 25 ms 6748 KB Output is correct
112 Correct 25 ms 6740 KB Output is correct
113 Correct 24 ms 9304 KB Output is correct
114 Correct 30 ms 9212 KB Output is correct
115 Correct 25 ms 6744 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
7 Correct 1 ms 2404 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 2 ms 2396 KB Output is correct
14 Correct 13 ms 4928 KB Output is correct
15 Correct 29 ms 3160 KB Output is correct
16 Correct 40 ms 4444 KB Output is correct
17 Correct 35 ms 4580 KB Output is correct
18 Correct 42 ms 8024 KB Output is correct
19 Correct 49 ms 5976 KB Output is correct
20 Correct 37 ms 8024 KB Output is correct
21 Correct 39 ms 8028 KB Output is correct
22 Correct 52 ms 8148 KB Output is correct
23 Correct 43 ms 8192 KB Output is correct
24 Correct 39 ms 8112 KB Output is correct
25 Correct 49 ms 8024 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 4836 KB Output is correct
30 Correct 41 ms 5584 KB Output is correct
31 Correct 56 ms 4704 KB Output is correct
32 Correct 50 ms 4752 KB Output is correct
33 Correct 49 ms 4772 KB Output is correct
34 Correct 50 ms 8276 KB Output is correct
35 Correct 59 ms 8264 KB Output is correct
36 Correct 48 ms 8180 KB Output is correct
37 Correct 48 ms 4700 KB Output is correct
38 Correct 46 ms 6228 KB Output is correct
39 Correct 47 ms 8236 KB Output is correct
40 Correct 47 ms 6236 KB Output is correct
41 Correct 1 ms 2392 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 604 KB Output is correct
45 Correct 2 ms 604 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 9 ms 1268 KB Output is correct
48 Correct 8 ms 1116 KB Output is correct
49 Correct 18 ms 1884 KB Output is correct
50 Correct 41 ms 5172 KB Output is correct
51 Correct 72 ms 8796 KB Output is correct
52 Correct 65 ms 6660 KB Output is correct
53 Correct 62 ms 8536 KB Output is correct
54 Correct 62 ms 4960 KB Output is correct
55 Correct 67 ms 4968 KB Output is correct
56 Correct 64 ms 8656 KB Output is correct
57 Correct 63 ms 4952 KB Output is correct
58 Correct 68 ms 5144 KB Output is correct
59 Correct 70 ms 8640 KB Output is correct
60 Correct 69 ms 5172 KB Output is correct
61 Correct 62 ms 5148 KB Output is correct
62 Correct 61 ms 5148 KB Output is correct
63 Correct 66 ms 5140 KB Output is correct
64 Correct 73 ms 4972 KB Output is correct
65 Correct 63 ms 5148 KB Output is correct
66 Correct 62 ms 8540 KB Output is correct
67 Correct 64 ms 6728 KB Output is correct
68 Correct 63 ms 8536 KB Output is correct
69 Correct 86 ms 6728 KB Output is correct
70 Correct 62 ms 6724 KB Output is correct
71 Correct 7 ms 4952 KB Output is correct
72 Correct 10 ms 4956 KB Output is correct
73 Correct 8 ms 1116 KB Output is correct
74 Correct 9 ms 1112 KB Output is correct
75 Correct 7 ms 4832 KB Output is correct
76 Correct 13 ms 5212 KB Output is correct
77 Correct 12 ms 2136 KB Output is correct
78 Correct 11 ms 3800 KB Output is correct
79 Correct 12 ms 3764 KB Output is correct
80 Correct 16 ms 2140 KB Output is correct
81 Correct 25 ms 3676 KB Output is correct
82 Correct 23 ms 6020 KB Output is correct
83 Correct 24 ms 3740 KB Output is correct
84 Correct 24 ms 3676 KB Output is correct
85 Correct 24 ms 3808 KB Output is correct
86 Correct 22 ms 3912 KB Output is correct
87 Correct 22 ms 6080 KB Output is correct
88 Correct 22 ms 4184 KB Output is correct
89 Correct 28 ms 5460 KB Output is correct
90 Correct 27 ms 5980 KB Output is correct
91 Correct 26 ms 5944 KB Output is correct
92 Correct 26 ms 6056 KB Output is correct
93 Correct 26 ms 5976 KB Output is correct
94 Correct 26 ms 6120 KB Output is correct
95 Correct 28 ms 9052 KB Output is correct
96 Correct 27 ms 6648 KB Output is correct
97 Correct 26 ms 6592 KB Output is correct
98 Correct 26 ms 7248 KB Output is correct
99 Correct 28 ms 6484 KB Output is correct
100 Correct 25 ms 9324 KB Output is correct
101 Correct 27 ms 9576 KB Output is correct
102 Correct 33 ms 6492 KB Output is correct
103 Correct 28 ms 6532 KB Output is correct
104 Correct 26 ms 9156 KB Output is correct
105 Correct 40 ms 6484 KB Output is correct
106 Correct 26 ms 7652 KB Output is correct
107 Correct 28 ms 6800 KB Output is correct
108 Correct 36 ms 9324 KB Output is correct
109 Correct 27 ms 6748 KB Output is correct
110 Correct 25 ms 6764 KB Output is correct
111 Correct 25 ms 6748 KB Output is correct
112 Correct 25 ms 6740 KB Output is correct
113 Correct 24 ms 9304 KB Output is correct
114 Correct 30 ms 9212 KB Output is correct
115 Correct 25 ms 6744 KB Output is correct
116 Correct 708 ms 4336 KB Output is correct
117 Correct 633 ms 4336 KB Output is correct
118 Correct 2086 ms 6944 KB Output is correct
119 Correct 1563 ms 5172 KB Output is correct
120 Correct 1063 ms 7116 KB Output is correct
121 Correct 3915 ms 7212 KB Output is correct
122 Correct 2793 ms 7256 KB Output is correct
123 Execution timed out 7017 ms 7248 KB Time limit exceeded
124 Halted 0 ms 0 KB -