oj.uz

Submission #789643

# Submission time Handle Problem Language Result Execution time Memory
789643 2023-07-21T15:47:26 Z math_rabbit_1028 Diversity (CEOI21_diversity) C++14
64 / 100
 44 ms 26268 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int n, q, b;
int arr[303030];
ll cnt[303030], cnt2[303030], reord[303030], ans = 0, res[50505];

const int m = 300000;

struct query{
    int idx, lt, rt;
} Q[50505];

bool compare(query p, query q) {
    if (p.lt/b == q.lt/b) return p.rt < q.rt;
    return (p.lt/b) < (q.lt/b);
}

ll sum[m + 1], xsum[m + 1];

void updatesum(int i, ll x) {
    while (i <= m) {
        sum[i] += x;
        i += (i & -i);
    }
}

void updatexsum(int i, ll x) {
    while (i <= m) {
        xsum[i] += x;
        i += (i & -i);
    }
}

ll getsum(int i) {
    ll ans = 0;
    while (i > 0) {
        ans += sum[i];
        i -= (i & -i);
    }
    return ans;
}

ll getxsum(int i) {
    ll ans = 0;
    while (i > 0) {
        ans += xsum[i];
        i -= (i & -i);
    }
    return ans;
}

vector<ll> v;
void init(int p) {
    for (int i = 1; i <= m; i++) cnt[i] = sum[i] = xsum[i] = 0;
    for (int i = 0; i <= n; i++) cnt2[i] = 0;
    ans = 0;

    for (int i = Q[p].lt; i <= Q[p].rt; i++) cnt[arr[i]]++;
    for (int i = 1; i <= m; i++) cnt2[cnt[i]]++;

    v.clear();
    v.push_back(0);
    for (int i = 0; i <= n; i++) {
        for (int j = 1; j <= cnt2[i]; j++) v.push_back(i);
    }

    for (int i = 1; i <= m/2; i++) {
        reord[i] = v[2 * i - 1];
    }
    for (int i = 1; i <= m/2; i++) {
        reord[m - i + 1] = v[2 * i];
    }

    for (ll i = 1; i <= m; i++) {
        updatesum(i, reord[i]);
        updatexsum(i, i * reord[i]);
    }

    for (ll i = 1; i <= m; i++) ans += reord[i] * (reord[i] + 1) / 2;

    for (ll i = 1; i <= m; i++) {
        ans += reord[i] * ((i + 1) * getsum(i - 1) - getxsum(i - 1));
    }
}

void add(int j) {
    int idx, i;
    idx = upper_bound(v.begin() + 1, v.begin() + m + 1, cnt[arr[j]]) - v.begin() - 1;
    cnt[arr[j]]++;
    cnt2[idx]++;
    if (idx % 2 == 0) i = m - idx/2 + 1;
    else i = (idx + 1) / 2;
    reord[i]++;
    ans += reord[i];
    ans += (i + 1) * getsum(i - 1) - getxsum(i - 1);
    ans += (getxsum(m) - getxsum(i)) - (i - 1) * (getsum(m) - getsum(i));
    updatesum(i, 1);
    updatexsum(i, i);
}

void rem(int j) {
    int idx, i;
    idx = lower_bound(v.begin() + 1, v.begin() + m + 1, cnt[arr[j]]) - v.begin();
    assert(cnt2[idx] == cnt[arr[j]]);
    cnt[arr[j]]--;
    cnt2[idx]--;
    if (idx % 2 == 0) i = m - idx/2 + 1;
    else i = (idx + 1) / 2;
    reord[i]--;
    ans -= reord[i] + 1;
    ans -= (i + 1) * getsum(i - 1) - getxsum(i - 1);
    ans -= (getxsum(m) - getxsum(i)) - (i - 1) * (getsum(m) - getsum(i));
    updatesum(i, -1);
    updatexsum(i, -i);
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> n >> q; b = (int)sqrt(n);
    for (int i = 1; i <= n; i++) cin >> arr[i];

    for (int i = 1; i <= q; i++) cin >> Q[i].lt >> Q[i].rt;
    for (int i = 1; i <= q; i++) Q[i].idx = i;

    sort(Q + 1, Q + q + 1, compare);

    int p = 1;
    for (int i = 0; i <= n/b; i++) {
        if (Q[p].lt/b != i) continue;

        init(p);
        res[Q[p].idx] = ans;

        p++;
        while (p <= q && Q[p].lt/b == i) {
            for (int j = Q[p - 1].rt + 1; j <= Q[p].rt; j++) add(j);
            if (Q[p - 1].lt > Q[p].lt) for (int j = Q[p].lt; j < Q[p - 1].lt; j++) add(j);
            else for (int j = Q[p - 1].lt; j < Q[p].lt; j++) rem(j);
            res[Q[p].idx] = ans;
            p++;
        }
    }

    for (int i = 1; i <= q; i++) cout << res[i] << "\n";

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 12232 KB Output is correct
2 Correct 15 ms 12240 KB Output is correct
3 Correct 16 ms 12232 KB Output is correct
4 Correct 16 ms 12240 KB Output is correct
5 Correct 16 ms 12120 KB Output is correct
6 Correct 15 ms 12244 KB Output is correct
7 Correct 16 ms 12232 KB Output is correct
8 Correct 15 ms 12232 KB Output is correct
9 Correct 15 ms 12232 KB Output is correct
10 Correct 15 ms 12232 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12232 KB Output is correct
2 Correct 16 ms 12232 KB Output is correct
3 Correct 16 ms 12360 KB Output is correct
4 Correct 19 ms 13320 KB Output is correct
5 Correct 24 ms 14496 KB Output is correct
6 Correct 29 ms 15760 KB Output is correct
7 Correct 29 ms 15684 KB Output is correct
8 Correct 28 ms 15756 KB Output is correct
9 Correct 28 ms 15728 KB Output is correct
10 Correct 29 ms 15720 KB Output is correct
11 Correct 28 ms 15676 KB Output is correct
12 Correct 29 ms 15632 KB Output is correct
13 Correct 29 ms 15744 KB Output is correct
14 Correct 32 ms 15760 KB Output is correct
15 Correct 28 ms 15764 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12232 KB Output is correct
2 Correct 16 ms 12232 KB Output is correct
3 Correct 16 ms 12360 KB Output is correct
4 Correct 19 ms 13320 KB Output is correct
5 Correct 24 ms 14496 KB Output is correct
6 Correct 29 ms 15760 KB Output is correct
7 Correct 29 ms 15684 KB Output is correct
8 Correct 28 ms 15756 KB Output is correct
9 Correct 28 ms 15728 KB Output is correct
10 Correct 29 ms 15720 KB Output is correct
11 Correct 28 ms 15676 KB Output is correct
12 Correct 29 ms 15632 KB Output is correct
13 Correct 29 ms 15744 KB Output is correct
14 Correct 32 ms 15760 KB Output is correct
15 Correct 28 ms 15764 KB Output is correct
16 Correct 15 ms 12240 KB Output is correct
17 Correct 16 ms 12264 KB Output is correct
18 Correct 16 ms 12256 KB Output is correct
19 Correct 20 ms 13420 KB Output is correct
20 Correct 25 ms 14484 KB Output is correct
21 Correct 30 ms 15700 KB Output is correct
22 Correct 30 ms 15700 KB Output is correct
23 Correct 30 ms 15688 KB Output is correct
24 Correct 29 ms 15756 KB Output is correct
25 Correct 29 ms 15756 KB Output is correct
26 Correct 29 ms 15760 KB Output is correct
27 Correct 30 ms 15628 KB Output is correct
28 Correct 33 ms 15796 KB Output is correct
29 Correct 29 ms 15688 KB Output is correct
30 Correct 29 ms 15744 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12232 KB Output is correct
2 Correct 16 ms 12232 KB Output is correct
3 Correct 16 ms 12360 KB Output is correct
4 Correct 19 ms 13320 KB Output is correct
5 Correct 24 ms 14496 KB Output is correct
6 Correct 29 ms 15760 KB Output is correct
7 Correct 29 ms 15684 KB Output is correct
8 Correct 28 ms 15756 KB Output is correct
9 Correct 28 ms 15728 KB Output is correct
10 Correct 29 ms 15720 KB Output is correct
11 Correct 28 ms 15676 KB Output is correct
12 Correct 29 ms 15632 KB Output is correct
13 Correct 29 ms 15744 KB Output is correct
14 Correct 32 ms 15760 KB Output is correct
15 Correct 28 ms 15764 KB Output is correct
16 Correct 15 ms 12240 KB Output is correct
17 Correct 16 ms 12264 KB Output is correct
18 Correct 16 ms 12256 KB Output is correct
19 Correct 20 ms 13420 KB Output is correct
20 Correct 25 ms 14484 KB Output is correct
21 Correct 30 ms 15700 KB Output is correct
22 Correct 30 ms 15700 KB Output is correct
23 Correct 30 ms 15688 KB Output is correct
24 Correct 29 ms 15756 KB Output is correct
25 Correct 29 ms 15756 KB Output is correct
26 Correct 29 ms 15760 KB Output is correct
27 Correct 30 ms 15628 KB Output is correct
28 Correct 33 ms 15796 KB Output is correct
29 Correct 29 ms 15688 KB Output is correct
30 Correct 29 ms 15744 KB Output is correct
31 Correct 15 ms 12164 KB Output is correct
32 Correct 15 ms 12264 KB Output is correct
33 Correct 16 ms 12232 KB Output is correct
34 Correct 16 ms 12364 KB Output is correct
35 Correct 16 ms 12360 KB Output is correct
36 Correct 16 ms 12360 KB Output is correct
37 Correct 21 ms 12760 KB Output is correct
38 Correct 18 ms 12744 KB Output is correct
39 Correct 22 ms 13376 KB Output is correct
40 Correct 26 ms 14536 KB Output is correct
41 Correct 30 ms 15636 KB Output is correct
42 Correct 36 ms 15764 KB Output is correct
43 Correct 31 ms 15680 KB Output is correct
44 Correct 30 ms 15688 KB Output is correct
45 Correct 30 ms 15692 KB Output is correct
46 Correct 30 ms 15716 KB Output is correct
47 Correct 30 ms 15732 KB Output is correct
48 Correct 30 ms 15748 KB Output is correct
49 Correct 38 ms 15688 KB Output is correct
50 Correct 30 ms 15700 KB Output is correct
51 Correct 30 ms 15764 KB Output is correct
52 Correct 30 ms 15736 KB Output is correct
53 Correct 31 ms 15632 KB Output is correct
54 Correct 34 ms 15816 KB Output is correct
55 Correct 31 ms 15740 KB Output is correct
56 Correct 30 ms 15760 KB Output is correct
57 Correct 30 ms 15760 KB Output is correct
58 Correct 30 ms 15760 KB Output is correct
59 Correct 30 ms 15720 KB Output is correct
60 Correct 31 ms 15716 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 12232 KB Output is correct
2 Correct 15 ms 12240 KB Output is correct
3 Correct 16 ms 12232 KB Output is correct
4 Correct 16 ms 12240 KB Output is correct
5 Correct 16 ms 12120 KB Output is correct
6 Correct 15 ms 12244 KB Output is correct
7 Correct 16 ms 12232 KB Output is correct
8 Correct 15 ms 12232 KB Output is correct
9 Correct 15 ms 12232 KB Output is correct
10 Correct 15 ms 12232 KB Output is correct
11 Correct 15 ms 12232 KB Output is correct
12 Correct 16 ms 12232 KB Output is correct
13 Correct 16 ms 12360 KB Output is correct
14 Correct 19 ms 13320 KB Output is correct
15 Correct 24 ms 14496 KB Output is correct
16 Correct 29 ms 15760 KB Output is correct
17 Correct 29 ms 15684 KB Output is correct
18 Correct 28 ms 15756 KB Output is correct
19 Correct 28 ms 15728 KB Output is correct
20 Correct 29 ms 15720 KB Output is correct
21 Correct 28 ms 15676 KB Output is correct
22 Correct 29 ms 15632 KB Output is correct
23 Correct 29 ms 15744 KB Output is correct
24 Correct 32 ms 15760 KB Output is correct
25 Correct 28 ms 15764 KB Output is correct
26 Correct 15 ms 12240 KB Output is correct
27 Correct 16 ms 12264 KB Output is correct
28 Correct 16 ms 12256 KB Output is correct
29 Correct 20 ms 13420 KB Output is correct
30 Correct 25 ms 14484 KB Output is correct
31 Correct 30 ms 15700 KB Output is correct
32 Correct 30 ms 15700 KB Output is correct
33 Correct 30 ms 15688 KB Output is correct
34 Correct 29 ms 15756 KB Output is correct
35 Correct 29 ms 15756 KB Output is correct
36 Correct 29 ms 15760 KB Output is correct
37 Correct 30 ms 15628 KB Output is correct
38 Correct 33 ms 15796 KB Output is correct
39 Correct 29 ms 15688 KB Output is correct
40 Correct 29 ms 15744 KB Output is correct
41 Correct 15 ms 12164 KB Output is correct
42 Correct 15 ms 12264 KB Output is correct
43 Correct 16 ms 12232 KB Output is correct
44 Correct 16 ms 12364 KB Output is correct
45 Correct 16 ms 12360 KB Output is correct
46 Correct 16 ms 12360 KB Output is correct
47 Correct 21 ms 12760 KB Output is correct
48 Correct 18 ms 12744 KB Output is correct
49 Correct 22 ms 13376 KB Output is correct
50 Correct 26 ms 14536 KB Output is correct
51 Correct 30 ms 15636 KB Output is correct
52 Correct 36 ms 15764 KB Output is correct
53 Correct 31 ms 15680 KB Output is correct
54 Correct 30 ms 15688 KB Output is correct
55 Correct 30 ms 15692 KB Output is correct
56 Correct 30 ms 15716 KB Output is correct
57 Correct 30 ms 15732 KB Output is correct
58 Correct 30 ms 15748 KB Output is correct
59 Correct 38 ms 15688 KB Output is correct
60 Correct 30 ms 15700 KB Output is correct
61 Correct 30 ms 15764 KB Output is correct
62 Correct 30 ms 15736 KB Output is correct
63 Correct 31 ms 15632 KB Output is correct
64 Correct 34 ms 15816 KB Output is correct
65 Correct 31 ms 15740 KB Output is correct
66 Correct 30 ms 15760 KB Output is correct
67 Correct 30 ms 15760 KB Output is correct
68 Correct 30 ms 15760 KB Output is correct
69 Correct 30 ms 15720 KB Output is correct
70 Correct 31 ms 15716 KB Output is correct
71 Correct 18 ms 12840 KB Output is correct
72 Correct 18 ms 12836 KB Output is correct
73 Correct 18 ms 12816 KB Output is correct
74 Correct 19 ms 12784 KB Output is correct
75 Correct 18 ms 12756 KB Output is correct
76 Correct 26 ms 13316 KB Output is correct
77 Correct 22 ms 13384 KB Output is correct
78 Correct 21 ms 13384 KB Output is correct
79 Correct 21 ms 13400 KB Output is correct
80 Correct 21 ms 13384 KB Output is correct
81 Correct 26 ms 14588 KB Output is correct
82 Correct 27 ms 14536 KB Output is correct
83 Correct 26 ms 14484 KB Output is correct
84 Correct 27 ms 14536 KB Output is correct
85 Correct 26 ms 14568 KB Output is correct
86 Correct 28 ms 14572 KB Output is correct
87 Correct 28 ms 14468 KB Output is correct
88 Correct 27 ms 14488 KB Output is correct
89 Correct 28 ms 14572 KB Output is correct
90 Correct 27 ms 14536 KB Output is correct
91 Correct 33 ms 15740 KB Output is correct
92 Correct 34 ms 15740 KB Output is correct
93 Correct 35 ms 15664 KB Output is correct
94 Correct 33 ms 15660 KB Output is correct
95 Correct 34 ms 15724 KB Output is correct
96 Correct 35 ms 15624 KB Output is correct
97 Correct 35 ms 15752 KB Output is correct
98 Correct 36 ms 15748 KB Output is correct
99 Correct 36 ms 15652 KB Output is correct
100 Correct 35 ms 15688 KB Output is correct
101 Correct 36 ms 15748 KB Output is correct
102 Correct 35 ms 15764 KB Output is correct
103 Correct 36 ms 15740 KB Output is correct
104 Correct 36 ms 15684 KB Output is correct
105 Correct 35 ms 15624 KB Output is correct
106 Correct 35 ms 15656 KB Output is correct
107 Correct 35 ms 15736 KB Output is correct
108 Correct 35 ms 15744 KB Output is correct
109 Correct 35 ms 15684 KB Output is correct
110 Correct 37 ms 15684 KB Output is correct
111 Correct 37 ms 15936 KB Output is correct
112 Correct 40 ms 16204 KB Output is correct
113 Correct 38 ms 16100 KB Output is correct
114 Correct 36 ms 15892 KB Output is correct
115 Correct 37 ms 15828 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 12232 KB Output is correct
2 Correct 15 ms 12240 KB Output is correct
3 Correct 16 ms 12232 KB Output is correct
4 Correct 16 ms 12240 KB Output is correct
5 Correct 16 ms 12120 KB Output is correct
6 Correct 15 ms 12244 KB Output is correct
7 Correct 16 ms 12232 KB Output is correct
8 Correct 15 ms 12232 KB Output is correct
9 Correct 15 ms 12232 KB Output is correct
10 Correct 15 ms 12232 KB Output is correct
11 Correct 15 ms 12232 KB Output is correct
12 Correct 16 ms 12232 KB Output is correct
13 Correct 16 ms 12360 KB Output is correct
14 Correct 19 ms 13320 KB Output is correct
15 Correct 24 ms 14496 KB Output is correct
16 Correct 29 ms 15760 KB Output is correct
17 Correct 29 ms 15684 KB Output is correct
18 Correct 28 ms 15756 KB Output is correct
19 Correct 28 ms 15728 KB Output is correct
20 Correct 29 ms 15720 KB Output is correct
21 Correct 28 ms 15676 KB Output is correct
22 Correct 29 ms 15632 KB Output is correct
23 Correct 29 ms 15744 KB Output is correct
24 Correct 32 ms 15760 KB Output is correct
25 Correct 28 ms 15764 KB Output is correct
26 Correct 15 ms 12240 KB Output is correct
27 Correct 16 ms 12264 KB Output is correct
28 Correct 16 ms 12256 KB Output is correct
29 Correct 20 ms 13420 KB Output is correct
30 Correct 25 ms 14484 KB Output is correct
31 Correct 30 ms 15700 KB Output is correct
32 Correct 30 ms 15700 KB Output is correct
33 Correct 30 ms 15688 KB Output is correct
34 Correct 29 ms 15756 KB Output is correct
35 Correct 29 ms 15756 KB Output is correct
36 Correct 29 ms 15760 KB Output is correct
37 Correct 30 ms 15628 KB Output is correct
38 Correct 33 ms 15796 KB Output is correct
39 Correct 29 ms 15688 KB Output is correct
40 Correct 29 ms 15744 KB Output is correct
41 Correct 15 ms 12164 KB Output is correct
42 Correct 15 ms 12264 KB Output is correct
43 Correct 16 ms 12232 KB Output is correct
44 Correct 16 ms 12364 KB Output is correct
45 Correct 16 ms 12360 KB Output is correct
46 Correct 16 ms 12360 KB Output is correct
47 Correct 21 ms 12760 KB Output is correct
48 Correct 18 ms 12744 KB Output is correct
49 Correct 22 ms 13376 KB Output is correct
50 Correct 26 ms 14536 KB Output is correct
51 Correct 30 ms 15636 KB Output is correct
52 Correct 36 ms 15764 KB Output is correct
53 Correct 31 ms 15680 KB Output is correct
54 Correct 30 ms 15688 KB Output is correct
55 Correct 30 ms 15692 KB Output is correct
56 Correct 30 ms 15716 KB Output is correct
57 Correct 30 ms 15732 KB Output is correct
58 Correct 30 ms 15748 KB Output is correct
59 Correct 38 ms 15688 KB Output is correct
60 Correct 30 ms 15700 KB Output is correct
61 Correct 30 ms 15764 KB Output is correct
62 Correct 30 ms 15736 KB Output is correct
63 Correct 31 ms 15632 KB Output is correct
64 Correct 34 ms 15816 KB Output is correct
65 Correct 31 ms 15740 KB Output is correct
66 Correct 30 ms 15760 KB Output is correct
67 Correct 30 ms 15760 KB Output is correct
68 Correct 30 ms 15760 KB Output is correct
69 Correct 30 ms 15720 KB Output is correct
70 Correct 31 ms 15716 KB Output is correct
71 Correct 18 ms 12840 KB Output is correct
72 Correct 18 ms 12836 KB Output is correct
73 Correct 18 ms 12816 KB Output is correct
74 Correct 19 ms 12784 KB Output is correct
75 Correct 18 ms 12756 KB Output is correct
76 Correct 26 ms 13316 KB Output is correct
77 Correct 22 ms 13384 KB Output is correct
78 Correct 21 ms 13384 KB Output is correct
79 Correct 21 ms 13400 KB Output is correct
80 Correct 21 ms 13384 KB Output is correct
81 Correct 26 ms 14588 KB Output is correct
82 Correct 27 ms 14536 KB Output is correct
83 Correct 26 ms 14484 KB Output is correct
84 Correct 27 ms 14536 KB Output is correct
85 Correct 26 ms 14568 KB Output is correct
86 Correct 28 ms 14572 KB Output is correct
87 Correct 28 ms 14468 KB Output is correct
88 Correct 27 ms 14488 KB Output is correct
89 Correct 28 ms 14572 KB Output is correct
90 Correct 27 ms 14536 KB Output is correct
91 Correct 33 ms 15740 KB Output is correct
92 Correct 34 ms 15740 KB Output is correct
93 Correct 35 ms 15664 KB Output is correct
94 Correct 33 ms 15660 KB Output is correct
95 Correct 34 ms 15724 KB Output is correct
96 Correct 35 ms 15624 KB Output is correct
97 Correct 35 ms 15752 KB Output is correct
98 Correct 36 ms 15748 KB Output is correct
99 Correct 36 ms 15652 KB Output is correct
100 Correct 35 ms 15688 KB Output is correct
101 Correct 36 ms 15748 KB Output is correct
102 Correct 35 ms 15764 KB Output is correct
103 Correct 36 ms 15740 KB Output is correct
104 Correct 36 ms 15684 KB Output is correct
105 Correct 35 ms 15624 KB Output is correct
106 Correct 35 ms 15656 KB Output is correct
107 Correct 35 ms 15736 KB Output is correct
108 Correct 35 ms 15744 KB Output is correct
109 Correct 35 ms 15684 KB Output is correct
110 Correct 37 ms 15684 KB Output is correct
111 Correct 37 ms 15936 KB Output is correct
112 Correct 40 ms 16204 KB Output is correct
113 Correct 38 ms 16100 KB Output is correct
114 Correct 36 ms 15892 KB Output is correct
115 Correct 37 ms 15828 KB Output is correct
116 Runtime error 44 ms 26268 KB Execution killed with signal 6
117 Halted 0 ms 0 KB -