oj.uz

Submission #789640

# Submission time Handle Problem Language Result Execution time Memory
789640 2023-07-21T15:34:53 Z math_rabbit_1028 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 14912 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;
}

void init(int p) {
    for (int i = 1; i <= m; i++) cnt[i] = sum[i] = xsum[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[i] = cnt[i];

    sort(cnt2 + 1, cnt2 + m + 1);

    for (int i = 1; i <= m/2; i++) {
        reord[i] = cnt2[2 * i - 1];
    }
    for (int i = 1; i <= m/2; i++) {
        reord[m - i + 1] = cnt2[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(cnt2 + 1, cnt2 + m + 1, cnt[arr[j]]) - cnt2 - 1;
    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];
    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(cnt2 + 1, cnt2 + m + 1, cnt[arr[j]]) - cnt2;
    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 17 ms 11988 KB Output is correct
2 Correct 17 ms 12088 KB Output is correct
3 Correct 16 ms 12088 KB Output is correct
4 Correct 18 ms 12052 KB Output is correct
5 Correct 16 ms 12092 KB Output is correct
6 Correct 17 ms 11988 KB Output is correct
7 Correct 17 ms 11968 KB Output is correct
8 Correct 17 ms 11988 KB Output is correct
9 Correct 17 ms 12084 KB Output is correct
10 Correct 17 ms 12084 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 11972 KB Output is correct
2 Correct 19 ms 12084 KB Output is correct
3 Correct 18 ms 12140 KB Output is correct
4 Correct 23 ms 12628 KB Output is correct
5 Correct 25 ms 13180 KB Output is correct
6 Correct 30 ms 13600 KB Output is correct
7 Correct 30 ms 13568 KB Output is correct
8 Correct 30 ms 13624 KB Output is correct
9 Correct 30 ms 13624 KB Output is correct
10 Correct 30 ms 13548 KB Output is correct
11 Correct 31 ms 13620 KB Output is correct
12 Correct 31 ms 13540 KB Output is correct
13 Correct 30 ms 13544 KB Output is correct
14 Correct 36 ms 13516 KB Output is correct
15 Correct 29 ms 13524 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 11972 KB Output is correct
2 Correct 19 ms 12084 KB Output is correct
3 Correct 18 ms 12140 KB Output is correct
4 Correct 23 ms 12628 KB Output is correct
5 Correct 25 ms 13180 KB Output is correct
6 Correct 30 ms 13600 KB Output is correct
7 Correct 30 ms 13568 KB Output is correct
8 Correct 30 ms 13624 KB Output is correct
9 Correct 30 ms 13624 KB Output is correct
10 Correct 30 ms 13548 KB Output is correct
11 Correct 31 ms 13620 KB Output is correct
12 Correct 31 ms 13540 KB Output is correct
13 Correct 30 ms 13544 KB Output is correct
14 Correct 36 ms 13516 KB Output is correct
15 Correct 29 ms 13524 KB Output is correct
16 Correct 17 ms 12084 KB Output is correct
17 Correct 17 ms 12056 KB Output is correct
18 Correct 17 ms 12112 KB Output is correct
19 Correct 21 ms 12628 KB Output is correct
20 Correct 26 ms 13240 KB Output is correct
21 Correct 30 ms 13528 KB Output is correct
22 Correct 31 ms 13592 KB Output is correct
23 Correct 31 ms 13624 KB Output is correct
24 Correct 31 ms 13624 KB Output is correct
25 Correct 30 ms 13512 KB Output is correct
26 Correct 31 ms 13532 KB Output is correct
27 Correct 31 ms 13548 KB Output is correct
28 Correct 31 ms 13528 KB Output is correct
29 Correct 31 ms 13612 KB Output is correct
30 Correct 34 ms 13728 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 11972 KB Output is correct
2 Correct 19 ms 12084 KB Output is correct
3 Correct 18 ms 12140 KB Output is correct
4 Correct 23 ms 12628 KB Output is correct
5 Correct 25 ms 13180 KB Output is correct
6 Correct 30 ms 13600 KB Output is correct
7 Correct 30 ms 13568 KB Output is correct
8 Correct 30 ms 13624 KB Output is correct
9 Correct 30 ms 13624 KB Output is correct
10 Correct 30 ms 13548 KB Output is correct
11 Correct 31 ms 13620 KB Output is correct
12 Correct 31 ms 13540 KB Output is correct
13 Correct 30 ms 13544 KB Output is correct
14 Correct 36 ms 13516 KB Output is correct
15 Correct 29 ms 13524 KB Output is correct
16 Correct 17 ms 12084 KB Output is correct
17 Correct 17 ms 12056 KB Output is correct
18 Correct 17 ms 12112 KB Output is correct
19 Correct 21 ms 12628 KB Output is correct
20 Correct 26 ms 13240 KB Output is correct
21 Correct 30 ms 13528 KB Output is correct
22 Correct 31 ms 13592 KB Output is correct
23 Correct 31 ms 13624 KB Output is correct
24 Correct 31 ms 13624 KB Output is correct
25 Correct 30 ms 13512 KB Output is correct
26 Correct 31 ms 13532 KB Output is correct
27 Correct 31 ms 13548 KB Output is correct
28 Correct 31 ms 13528 KB Output is correct
29 Correct 31 ms 13612 KB Output is correct
30 Correct 34 ms 13728 KB Output is correct
31 Correct 17 ms 11988 KB Output is correct
32 Correct 17 ms 11988 KB Output is correct
33 Correct 17 ms 12100 KB Output is correct
34 Correct 17 ms 12156 KB Output is correct
35 Correct 18 ms 12164 KB Output is correct
36 Correct 17 ms 12124 KB Output is correct
37 Correct 19 ms 12372 KB Output is correct
38 Correct 19 ms 12372 KB Output is correct
39 Correct 22 ms 12756 KB Output is correct
40 Correct 27 ms 13236 KB Output is correct
41 Correct 32 ms 13580 KB Output is correct
42 Correct 34 ms 13624 KB Output is correct
43 Correct 32 ms 13516 KB Output is correct
44 Correct 32 ms 13592 KB Output is correct
45 Correct 33 ms 13624 KB Output is correct
46 Correct 32 ms 13580 KB Output is correct
47 Correct 33 ms 13548 KB Output is correct
48 Correct 32 ms 13588 KB Output is correct
49 Correct 32 ms 13620 KB Output is correct
50 Correct 31 ms 13524 KB Output is correct
51 Correct 31 ms 13532 KB Output is correct
52 Correct 32 ms 13568 KB Output is correct
53 Correct 39 ms 13604 KB Output is correct
54 Correct 31 ms 13624 KB Output is correct
55 Correct 32 ms 13628 KB Output is correct
56 Correct 31 ms 13624 KB Output is correct
57 Correct 37 ms 13504 KB Output is correct
58 Correct 33 ms 13624 KB Output is correct
59 Correct 32 ms 13644 KB Output is correct
60 Correct 35 ms 13680 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 11988 KB Output is correct
2 Correct 17 ms 12088 KB Output is correct
3 Correct 16 ms 12088 KB Output is correct
4 Correct 18 ms 12052 KB Output is correct
5 Correct 16 ms 12092 KB Output is correct
6 Correct 17 ms 11988 KB Output is correct
7 Correct 17 ms 11968 KB Output is correct
8 Correct 17 ms 11988 KB Output is correct
9 Correct 17 ms 12084 KB Output is correct
10 Correct 17 ms 12084 KB Output is correct
11 Correct 17 ms 11972 KB Output is correct
12 Correct 19 ms 12084 KB Output is correct
13 Correct 18 ms 12140 KB Output is correct
14 Correct 23 ms 12628 KB Output is correct
15 Correct 25 ms 13180 KB Output is correct
16 Correct 30 ms 13600 KB Output is correct
17 Correct 30 ms 13568 KB Output is correct
18 Correct 30 ms 13624 KB Output is correct
19 Correct 30 ms 13624 KB Output is correct
20 Correct 30 ms 13548 KB Output is correct
21 Correct 31 ms 13620 KB Output is correct
22 Correct 31 ms 13540 KB Output is correct
23 Correct 30 ms 13544 KB Output is correct
24 Correct 36 ms 13516 KB Output is correct
25 Correct 29 ms 13524 KB Output is correct
26 Correct 17 ms 12084 KB Output is correct
27 Correct 17 ms 12056 KB Output is correct
28 Correct 17 ms 12112 KB Output is correct
29 Correct 21 ms 12628 KB Output is correct
30 Correct 26 ms 13240 KB Output is correct
31 Correct 30 ms 13528 KB Output is correct
32 Correct 31 ms 13592 KB Output is correct
33 Correct 31 ms 13624 KB Output is correct
34 Correct 31 ms 13624 KB Output is correct
35 Correct 30 ms 13512 KB Output is correct
36 Correct 31 ms 13532 KB Output is correct
37 Correct 31 ms 13548 KB Output is correct
38 Correct 31 ms 13528 KB Output is correct
39 Correct 31 ms 13612 KB Output is correct
40 Correct 34 ms 13728 KB Output is correct
41 Correct 17 ms 11988 KB Output is correct
42 Correct 17 ms 11988 KB Output is correct
43 Correct 17 ms 12100 KB Output is correct
44 Correct 17 ms 12156 KB Output is correct
45 Correct 18 ms 12164 KB Output is correct
46 Correct 17 ms 12124 KB Output is correct
47 Correct 19 ms 12372 KB Output is correct
48 Correct 19 ms 12372 KB Output is correct
49 Correct 22 ms 12756 KB Output is correct
50 Correct 27 ms 13236 KB Output is correct
51 Correct 32 ms 13580 KB Output is correct
52 Correct 34 ms 13624 KB Output is correct
53 Correct 32 ms 13516 KB Output is correct
54 Correct 32 ms 13592 KB Output is correct
55 Correct 33 ms 13624 KB Output is correct
56 Correct 32 ms 13580 KB Output is correct
57 Correct 33 ms 13548 KB Output is correct
58 Correct 32 ms 13588 KB Output is correct
59 Correct 32 ms 13620 KB Output is correct
60 Correct 31 ms 13524 KB Output is correct
61 Correct 31 ms 13532 KB Output is correct
62 Correct 32 ms 13568 KB Output is correct
63 Correct 39 ms 13604 KB Output is correct
64 Correct 31 ms 13624 KB Output is correct
65 Correct 32 ms 13628 KB Output is correct
66 Correct 31 ms 13624 KB Output is correct
67 Correct 37 ms 13504 KB Output is correct
68 Correct 33 ms 13624 KB Output is correct
69 Correct 32 ms 13644 KB Output is correct
70 Correct 35 ms 13680 KB Output is correct
71 Correct 19 ms 12504 KB Output is correct
72 Correct 20 ms 12496 KB Output is correct
73 Correct 19 ms 12472 KB Output is correct
74 Correct 19 ms 12504 KB Output is correct
75 Correct 19 ms 12420 KB Output is correct
76 Correct 22 ms 12828 KB Output is correct
77 Correct 22 ms 12812 KB Output is correct
78 Correct 22 ms 12756 KB Output is correct
79 Correct 24 ms 12756 KB Output is correct
80 Correct 23 ms 12788 KB Output is correct
81 Correct 31 ms 13228 KB Output is correct
82 Correct 27 ms 13128 KB Output is correct
83 Correct 27 ms 13156 KB Output is correct
84 Correct 28 ms 13216 KB Output is correct
85 Correct 28 ms 13196 KB Output is correct
86 Correct 29 ms 13224 KB Output is correct
87 Correct 30 ms 13188 KB Output is correct
88 Correct 31 ms 13160 KB Output is correct
89 Correct 30 ms 13188 KB Output is correct
90 Correct 30 ms 13124 KB Output is correct
91 Correct 35 ms 13548 KB Output is correct
92 Correct 38 ms 13544 KB Output is correct
93 Correct 35 ms 13548 KB Output is correct
94 Correct 36 ms 13600 KB Output is correct
95 Correct 36 ms 13516 KB Output is correct
96 Correct 38 ms 13612 KB Output is correct
97 Correct 45 ms 13600 KB Output is correct
98 Correct 37 ms 13624 KB Output is correct
99 Correct 37 ms 13508 KB Output is correct
100 Correct 37 ms 13628 KB Output is correct
101 Correct 42 ms 13572 KB Output is correct
102 Correct 37 ms 13504 KB Output is correct
103 Correct 37 ms 13624 KB Output is correct
104 Correct 41 ms 13616 KB Output is correct
105 Correct 38 ms 13608 KB Output is correct
106 Correct 37 ms 13632 KB Output is correct
107 Correct 37 ms 13564 KB Output is correct
108 Correct 37 ms 13528 KB Output is correct
109 Correct 46 ms 13572 KB Output is correct
110 Correct 37 ms 13584 KB Output is correct
111 Correct 37 ms 13588 KB Output is correct
112 Correct 39 ms 13624 KB Output is correct
113 Correct 40 ms 13524 KB Output is correct
114 Correct 37 ms 13580 KB Output is correct
115 Correct 37 ms 13620 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 11988 KB Output is correct
2 Correct 17 ms 12088 KB Output is correct
3 Correct 16 ms 12088 KB Output is correct
4 Correct 18 ms 12052 KB Output is correct
5 Correct 16 ms 12092 KB Output is correct
6 Correct 17 ms 11988 KB Output is correct
7 Correct 17 ms 11968 KB Output is correct
8 Correct 17 ms 11988 KB Output is correct
9 Correct 17 ms 12084 KB Output is correct
10 Correct 17 ms 12084 KB Output is correct
11 Correct 17 ms 11972 KB Output is correct
12 Correct 19 ms 12084 KB Output is correct
13 Correct 18 ms 12140 KB Output is correct
14 Correct 23 ms 12628 KB Output is correct
15 Correct 25 ms 13180 KB Output is correct
16 Correct 30 ms 13600 KB Output is correct
17 Correct 30 ms 13568 KB Output is correct
18 Correct 30 ms 13624 KB Output is correct
19 Correct 30 ms 13624 KB Output is correct
20 Correct 30 ms 13548 KB Output is correct
21 Correct 31 ms 13620 KB Output is correct
22 Correct 31 ms 13540 KB Output is correct
23 Correct 30 ms 13544 KB Output is correct
24 Correct 36 ms 13516 KB Output is correct
25 Correct 29 ms 13524 KB Output is correct
26 Correct 17 ms 12084 KB Output is correct
27 Correct 17 ms 12056 KB Output is correct
28 Correct 17 ms 12112 KB Output is correct
29 Correct 21 ms 12628 KB Output is correct
30 Correct 26 ms 13240 KB Output is correct
31 Correct 30 ms 13528 KB Output is correct
32 Correct 31 ms 13592 KB Output is correct
33 Correct 31 ms 13624 KB Output is correct
34 Correct 31 ms 13624 KB Output is correct
35 Correct 30 ms 13512 KB Output is correct
36 Correct 31 ms 13532 KB Output is correct
37 Correct 31 ms 13548 KB Output is correct
38 Correct 31 ms 13528 KB Output is correct
39 Correct 31 ms 13612 KB Output is correct
40 Correct 34 ms 13728 KB Output is correct
41 Correct 17 ms 11988 KB Output is correct
42 Correct 17 ms 11988 KB Output is correct
43 Correct 17 ms 12100 KB Output is correct
44 Correct 17 ms 12156 KB Output is correct
45 Correct 18 ms 12164 KB Output is correct
46 Correct 17 ms 12124 KB Output is correct
47 Correct 19 ms 12372 KB Output is correct
48 Correct 19 ms 12372 KB Output is correct
49 Correct 22 ms 12756 KB Output is correct
50 Correct 27 ms 13236 KB Output is correct
51 Correct 32 ms 13580 KB Output is correct
52 Correct 34 ms 13624 KB Output is correct
53 Correct 32 ms 13516 KB Output is correct
54 Correct 32 ms 13592 KB Output is correct
55 Correct 33 ms 13624 KB Output is correct
56 Correct 32 ms 13580 KB Output is correct
57 Correct 33 ms 13548 KB Output is correct
58 Correct 32 ms 13588 KB Output is correct
59 Correct 32 ms 13620 KB Output is correct
60 Correct 31 ms 13524 KB Output is correct
61 Correct 31 ms 13532 KB Output is correct
62 Correct 32 ms 13568 KB Output is correct
63 Correct 39 ms 13604 KB Output is correct
64 Correct 31 ms 13624 KB Output is correct
65 Correct 32 ms 13628 KB Output is correct
66 Correct 31 ms 13624 KB Output is correct
67 Correct 37 ms 13504 KB Output is correct
68 Correct 33 ms 13624 KB Output is correct
69 Correct 32 ms 13644 KB Output is correct
70 Correct 35 ms 13680 KB Output is correct
71 Correct 19 ms 12504 KB Output is correct
72 Correct 20 ms 12496 KB Output is correct
73 Correct 19 ms 12472 KB Output is correct
74 Correct 19 ms 12504 KB Output is correct
75 Correct 19 ms 12420 KB Output is correct
76 Correct 22 ms 12828 KB Output is correct
77 Correct 22 ms 12812 KB Output is correct
78 Correct 22 ms 12756 KB Output is correct
79 Correct 24 ms 12756 KB Output is correct
80 Correct 23 ms 12788 KB Output is correct
81 Correct 31 ms 13228 KB Output is correct
82 Correct 27 ms 13128 KB Output is correct
83 Correct 27 ms 13156 KB Output is correct
84 Correct 28 ms 13216 KB Output is correct
85 Correct 28 ms 13196 KB Output is correct
86 Correct 29 ms 13224 KB Output is correct
87 Correct 30 ms 13188 KB Output is correct
88 Correct 31 ms 13160 KB Output is correct
89 Correct 30 ms 13188 KB Output is correct
90 Correct 30 ms 13124 KB Output is correct
91 Correct 35 ms 13548 KB Output is correct
92 Correct 38 ms 13544 KB Output is correct
93 Correct 35 ms 13548 KB Output is correct
94 Correct 36 ms 13600 KB Output is correct
95 Correct 36 ms 13516 KB Output is correct
96 Correct 38 ms 13612 KB Output is correct
97 Correct 45 ms 13600 KB Output is correct
98 Correct 37 ms 13624 KB Output is correct
99 Correct 37 ms 13508 KB Output is correct
100 Correct 37 ms 13628 KB Output is correct
101 Correct 42 ms 13572 KB Output is correct
102 Correct 37 ms 13504 KB Output is correct
103 Correct 37 ms 13624 KB Output is correct
104 Correct 41 ms 13616 KB Output is correct
105 Correct 38 ms 13608 KB Output is correct
106 Correct 37 ms 13632 KB Output is correct
107 Correct 37 ms 13564 KB Output is correct
108 Correct 37 ms 13528 KB Output is correct
109 Correct 46 ms 13572 KB Output is correct
110 Correct 37 ms 13584 KB Output is correct
111 Correct 37 ms 13588 KB Output is correct
112 Correct 39 ms 13624 KB Output is correct
113 Correct 40 ms 13524 KB Output is correct
114 Correct 37 ms 13580 KB Output is correct
115 Correct 37 ms 13620 KB Output is correct
116 Correct 1504 ms 13724 KB Output is correct
117 Correct 1630 ms 13728 KB Output is correct
118 Correct 3894 ms 14004 KB Output is correct
119 Correct 4022 ms 14512 KB Output is correct
120 Correct 4069 ms 14508 KB Output is correct
121 Correct 6762 ms 14912 KB Output is correct
122 Execution timed out 7070 ms 14420 KB Time limit exceeded
123 Halted 0 ms 0 KB -