oj.uz

Submission #789642

# Submission time Handle Problem Language Result Execution time Memory
789642 2023-07-21T15:39:08 Z math_rabbit_1028 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 14076 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;
    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;
    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 19 ms 12104 KB Output is correct
2 Correct 16 ms 12080 KB Output is correct
3 Correct 16 ms 12048 KB Output is correct
4 Correct 16 ms 11988 KB Output is correct
5 Correct 16 ms 12044 KB Output is correct
6 Correct 16 ms 11988 KB Output is correct
7 Correct 16 ms 11976 KB Output is correct
8 Correct 16 ms 12084 KB Output is correct
9 Correct 17 ms 12084 KB Output is correct
10 Correct 16 ms 12084 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 12044 KB Output is correct
2 Correct 17 ms 12084 KB Output is correct
3 Correct 17 ms 12116 KB Output is correct
4 Correct 21 ms 12372 KB Output is correct
5 Correct 26 ms 12860 KB Output is correct
6 Correct 29 ms 13220 KB Output is correct
7 Correct 28 ms 13236 KB Output is correct
8 Correct 28 ms 13236 KB Output is correct
9 Correct 32 ms 13240 KB Output is correct
10 Correct 29 ms 13208 KB Output is correct
11 Correct 28 ms 13140 KB Output is correct
12 Correct 29 ms 13136 KB Output is correct
13 Correct 28 ms 13268 KB Output is correct
14 Correct 28 ms 13160 KB Output is correct
15 Correct 28 ms 13264 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 12044 KB Output is correct
2 Correct 17 ms 12084 KB Output is correct
3 Correct 17 ms 12116 KB Output is correct
4 Correct 21 ms 12372 KB Output is correct
5 Correct 26 ms 12860 KB Output is correct
6 Correct 29 ms 13220 KB Output is correct
7 Correct 28 ms 13236 KB Output is correct
8 Correct 28 ms 13236 KB Output is correct
9 Correct 32 ms 13240 KB Output is correct
10 Correct 29 ms 13208 KB Output is correct
11 Correct 28 ms 13140 KB Output is correct
12 Correct 29 ms 13136 KB Output is correct
13 Correct 28 ms 13268 KB Output is correct
14 Correct 28 ms 13160 KB Output is correct
15 Correct 28 ms 13264 KB Output is correct
16 Correct 18 ms 12116 KB Output is correct
17 Correct 17 ms 12092 KB Output is correct
18 Correct 17 ms 12132 KB Output is correct
19 Correct 21 ms 12476 KB Output is correct
20 Correct 25 ms 12744 KB Output is correct
21 Correct 29 ms 13268 KB Output is correct
22 Correct 35 ms 13148 KB Output is correct
23 Correct 29 ms 13220 KB Output is correct
24 Correct 30 ms 13140 KB Output is correct
25 Correct 30 ms 13140 KB Output is correct
26 Correct 29 ms 13208 KB Output is correct
27 Correct 30 ms 13236 KB Output is correct
28 Correct 29 ms 13268 KB Output is correct
29 Correct 29 ms 13176 KB Output is correct
30 Correct 29 ms 13132 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 12044 KB Output is correct
2 Correct 17 ms 12084 KB Output is correct
3 Correct 17 ms 12116 KB Output is correct
4 Correct 21 ms 12372 KB Output is correct
5 Correct 26 ms 12860 KB Output is correct
6 Correct 29 ms 13220 KB Output is correct
7 Correct 28 ms 13236 KB Output is correct
8 Correct 28 ms 13236 KB Output is correct
9 Correct 32 ms 13240 KB Output is correct
10 Correct 29 ms 13208 KB Output is correct
11 Correct 28 ms 13140 KB Output is correct
12 Correct 29 ms 13136 KB Output is correct
13 Correct 28 ms 13268 KB Output is correct
14 Correct 28 ms 13160 KB Output is correct
15 Correct 28 ms 13264 KB Output is correct
16 Correct 18 ms 12116 KB Output is correct
17 Correct 17 ms 12092 KB Output is correct
18 Correct 17 ms 12132 KB Output is correct
19 Correct 21 ms 12476 KB Output is correct
20 Correct 25 ms 12744 KB Output is correct
21 Correct 29 ms 13268 KB Output is correct
22 Correct 35 ms 13148 KB Output is correct
23 Correct 29 ms 13220 KB Output is correct
24 Correct 30 ms 13140 KB Output is correct
25 Correct 30 ms 13140 KB Output is correct
26 Correct 29 ms 13208 KB Output is correct
27 Correct 30 ms 13236 KB Output is correct
28 Correct 29 ms 13268 KB Output is correct
29 Correct 29 ms 13176 KB Output is correct
30 Correct 29 ms 13132 KB Output is correct
31 Correct 16 ms 11988 KB Output is correct
32 Correct 16 ms 12000 KB Output is correct
33 Correct 17 ms 11988 KB Output is correct
34 Correct 18 ms 12084 KB Output is correct
35 Correct 17 ms 12128 KB Output is correct
36 Correct 17 ms 12128 KB Output is correct
37 Correct 19 ms 12204 KB Output is correct
38 Correct 19 ms 12280 KB Output is correct
39 Correct 21 ms 12372 KB Output is correct
40 Correct 25 ms 12864 KB Output is correct
41 Correct 35 ms 13216 KB Output is correct
42 Correct 30 ms 13208 KB Output is correct
43 Correct 30 ms 13208 KB Output is correct
44 Correct 31 ms 13132 KB Output is correct
45 Correct 30 ms 13240 KB Output is correct
46 Correct 35 ms 13196 KB Output is correct
47 Correct 31 ms 13160 KB Output is correct
48 Correct 31 ms 13140 KB Output is correct
49 Correct 30 ms 13140 KB Output is correct
50 Correct 31 ms 13136 KB Output is correct
51 Correct 37 ms 13184 KB Output is correct
52 Correct 33 ms 13260 KB Output is correct
53 Correct 36 ms 13132 KB Output is correct
54 Correct 37 ms 13244 KB Output is correct
55 Correct 30 ms 13240 KB Output is correct
56 Correct 33 ms 13148 KB Output is correct
57 Correct 30 ms 13140 KB Output is correct
58 Correct 30 ms 13140 KB Output is correct
59 Correct 30 ms 13224 KB Output is correct
60 Correct 31 ms 13240 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 12104 KB Output is correct
2 Correct 16 ms 12080 KB Output is correct
3 Correct 16 ms 12048 KB Output is correct
4 Correct 16 ms 11988 KB Output is correct
5 Correct 16 ms 12044 KB Output is correct
6 Correct 16 ms 11988 KB Output is correct
7 Correct 16 ms 11976 KB Output is correct
8 Correct 16 ms 12084 KB Output is correct
9 Correct 17 ms 12084 KB Output is correct
10 Correct 16 ms 12084 KB Output is correct
11 Correct 19 ms 12044 KB Output is correct
12 Correct 17 ms 12084 KB Output is correct
13 Correct 17 ms 12116 KB Output is correct
14 Correct 21 ms 12372 KB Output is correct
15 Correct 26 ms 12860 KB Output is correct
16 Correct 29 ms 13220 KB Output is correct
17 Correct 28 ms 13236 KB Output is correct
18 Correct 28 ms 13236 KB Output is correct
19 Correct 32 ms 13240 KB Output is correct
20 Correct 29 ms 13208 KB Output is correct
21 Correct 28 ms 13140 KB Output is correct
22 Correct 29 ms 13136 KB Output is correct
23 Correct 28 ms 13268 KB Output is correct
24 Correct 28 ms 13160 KB Output is correct
25 Correct 28 ms 13264 KB Output is correct
26 Correct 18 ms 12116 KB Output is correct
27 Correct 17 ms 12092 KB Output is correct
28 Correct 17 ms 12132 KB Output is correct
29 Correct 21 ms 12476 KB Output is correct
30 Correct 25 ms 12744 KB Output is correct
31 Correct 29 ms 13268 KB Output is correct
32 Correct 35 ms 13148 KB Output is correct
33 Correct 29 ms 13220 KB Output is correct
34 Correct 30 ms 13140 KB Output is correct
35 Correct 30 ms 13140 KB Output is correct
36 Correct 29 ms 13208 KB Output is correct
37 Correct 30 ms 13236 KB Output is correct
38 Correct 29 ms 13268 KB Output is correct
39 Correct 29 ms 13176 KB Output is correct
40 Correct 29 ms 13132 KB Output is correct
41 Correct 16 ms 11988 KB Output is correct
42 Correct 16 ms 12000 KB Output is correct
43 Correct 17 ms 11988 KB Output is correct
44 Correct 18 ms 12084 KB Output is correct
45 Correct 17 ms 12128 KB Output is correct
46 Correct 17 ms 12128 KB Output is correct
47 Correct 19 ms 12204 KB Output is correct
48 Correct 19 ms 12280 KB Output is correct
49 Correct 21 ms 12372 KB Output is correct
50 Correct 25 ms 12864 KB Output is correct
51 Correct 35 ms 13216 KB Output is correct
52 Correct 30 ms 13208 KB Output is correct
53 Correct 30 ms 13208 KB Output is correct
54 Correct 31 ms 13132 KB Output is correct
55 Correct 30 ms 13240 KB Output is correct
56 Correct 35 ms 13196 KB Output is correct
57 Correct 31 ms 13160 KB Output is correct
58 Correct 31 ms 13140 KB Output is correct
59 Correct 30 ms 13140 KB Output is correct
60 Correct 31 ms 13136 KB Output is correct
61 Correct 37 ms 13184 KB Output is correct
62 Correct 33 ms 13260 KB Output is correct
63 Correct 36 ms 13132 KB Output is correct
64 Correct 37 ms 13244 KB Output is correct
65 Correct 30 ms 13240 KB Output is correct
66 Correct 33 ms 13148 KB Output is correct
67 Correct 30 ms 13140 KB Output is correct
68 Correct 30 ms 13140 KB Output is correct
69 Correct 30 ms 13224 KB Output is correct
70 Correct 31 ms 13240 KB Output is correct
71 Correct 19 ms 12244 KB Output is correct
72 Correct 19 ms 12288 KB Output is correct
73 Correct 19 ms 12280 KB Output is correct
74 Correct 19 ms 12240 KB Output is correct
75 Correct 19 ms 12244 KB Output is correct
76 Correct 22 ms 12440 KB Output is correct
77 Correct 21 ms 12436 KB Output is correct
78 Correct 22 ms 12472 KB Output is correct
79 Correct 21 ms 12372 KB Output is correct
80 Correct 22 ms 12452 KB Output is correct
81 Correct 32 ms 12852 KB Output is correct
82 Correct 32 ms 12756 KB Output is correct
83 Correct 26 ms 12756 KB Output is correct
84 Correct 26 ms 12756 KB Output is correct
85 Correct 31 ms 12756 KB Output is correct
86 Correct 29 ms 12772 KB Output is correct
87 Correct 28 ms 12804 KB Output is correct
88 Correct 28 ms 12816 KB Output is correct
89 Correct 28 ms 12852 KB Output is correct
90 Correct 27 ms 12756 KB Output is correct
91 Correct 37 ms 13200 KB Output is correct
92 Correct 34 ms 13132 KB Output is correct
93 Correct 35 ms 13244 KB Output is correct
94 Correct 34 ms 13220 KB Output is correct
95 Correct 34 ms 13128 KB Output is correct
96 Correct 41 ms 13356 KB Output is correct
97 Correct 36 ms 13236 KB Output is correct
98 Correct 36 ms 13188 KB Output is correct
99 Correct 36 ms 13156 KB Output is correct
100 Correct 37 ms 13196 KB Output is correct
101 Correct 37 ms 13252 KB Output is correct
102 Correct 36 ms 13184 KB Output is correct
103 Correct 36 ms 13160 KB Output is correct
104 Correct 38 ms 13196 KB Output is correct
105 Correct 37 ms 13200 KB Output is correct
106 Correct 37 ms 13216 KB Output is correct
107 Correct 39 ms 13168 KB Output is correct
108 Correct 36 ms 13264 KB Output is correct
109 Correct 37 ms 13236 KB Output is correct
110 Correct 36 ms 13212 KB Output is correct
111 Correct 36 ms 13204 KB Output is correct
112 Correct 36 ms 13236 KB Output is correct
113 Correct 51 ms 13236 KB Output is correct
114 Correct 37 ms 13212 KB Output is correct
115 Correct 38 ms 13256 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 12104 KB Output is correct
2 Correct 16 ms 12080 KB Output is correct
3 Correct 16 ms 12048 KB Output is correct
4 Correct 16 ms 11988 KB Output is correct
5 Correct 16 ms 12044 KB Output is correct
6 Correct 16 ms 11988 KB Output is correct
7 Correct 16 ms 11976 KB Output is correct
8 Correct 16 ms 12084 KB Output is correct
9 Correct 17 ms 12084 KB Output is correct
10 Correct 16 ms 12084 KB Output is correct
11 Correct 19 ms 12044 KB Output is correct
12 Correct 17 ms 12084 KB Output is correct
13 Correct 17 ms 12116 KB Output is correct
14 Correct 21 ms 12372 KB Output is correct
15 Correct 26 ms 12860 KB Output is correct
16 Correct 29 ms 13220 KB Output is correct
17 Correct 28 ms 13236 KB Output is correct
18 Correct 28 ms 13236 KB Output is correct
19 Correct 32 ms 13240 KB Output is correct
20 Correct 29 ms 13208 KB Output is correct
21 Correct 28 ms 13140 KB Output is correct
22 Correct 29 ms 13136 KB Output is correct
23 Correct 28 ms 13268 KB Output is correct
24 Correct 28 ms 13160 KB Output is correct
25 Correct 28 ms 13264 KB Output is correct
26 Correct 18 ms 12116 KB Output is correct
27 Correct 17 ms 12092 KB Output is correct
28 Correct 17 ms 12132 KB Output is correct
29 Correct 21 ms 12476 KB Output is correct
30 Correct 25 ms 12744 KB Output is correct
31 Correct 29 ms 13268 KB Output is correct
32 Correct 35 ms 13148 KB Output is correct
33 Correct 29 ms 13220 KB Output is correct
34 Correct 30 ms 13140 KB Output is correct
35 Correct 30 ms 13140 KB Output is correct
36 Correct 29 ms 13208 KB Output is correct
37 Correct 30 ms 13236 KB Output is correct
38 Correct 29 ms 13268 KB Output is correct
39 Correct 29 ms 13176 KB Output is correct
40 Correct 29 ms 13132 KB Output is correct
41 Correct 16 ms 11988 KB Output is correct
42 Correct 16 ms 12000 KB Output is correct
43 Correct 17 ms 11988 KB Output is correct
44 Correct 18 ms 12084 KB Output is correct
45 Correct 17 ms 12128 KB Output is correct
46 Correct 17 ms 12128 KB Output is correct
47 Correct 19 ms 12204 KB Output is correct
48 Correct 19 ms 12280 KB Output is correct
49 Correct 21 ms 12372 KB Output is correct
50 Correct 25 ms 12864 KB Output is correct
51 Correct 35 ms 13216 KB Output is correct
52 Correct 30 ms 13208 KB Output is correct
53 Correct 30 ms 13208 KB Output is correct
54 Correct 31 ms 13132 KB Output is correct
55 Correct 30 ms 13240 KB Output is correct
56 Correct 35 ms 13196 KB Output is correct
57 Correct 31 ms 13160 KB Output is correct
58 Correct 31 ms 13140 KB Output is correct
59 Correct 30 ms 13140 KB Output is correct
60 Correct 31 ms 13136 KB Output is correct
61 Correct 37 ms 13184 KB Output is correct
62 Correct 33 ms 13260 KB Output is correct
63 Correct 36 ms 13132 KB Output is correct
64 Correct 37 ms 13244 KB Output is correct
65 Correct 30 ms 13240 KB Output is correct
66 Correct 33 ms 13148 KB Output is correct
67 Correct 30 ms 13140 KB Output is correct
68 Correct 30 ms 13140 KB Output is correct
69 Correct 30 ms 13224 KB Output is correct
70 Correct 31 ms 13240 KB Output is correct
71 Correct 19 ms 12244 KB Output is correct
72 Correct 19 ms 12288 KB Output is correct
73 Correct 19 ms 12280 KB Output is correct
74 Correct 19 ms 12240 KB Output is correct
75 Correct 19 ms 12244 KB Output is correct
76 Correct 22 ms 12440 KB Output is correct
77 Correct 21 ms 12436 KB Output is correct
78 Correct 22 ms 12472 KB Output is correct
79 Correct 21 ms 12372 KB Output is correct
80 Correct 22 ms 12452 KB Output is correct
81 Correct 32 ms 12852 KB Output is correct
82 Correct 32 ms 12756 KB Output is correct
83 Correct 26 ms 12756 KB Output is correct
84 Correct 26 ms 12756 KB Output is correct
85 Correct 31 ms 12756 KB Output is correct
86 Correct 29 ms 12772 KB Output is correct
87 Correct 28 ms 12804 KB Output is correct
88 Correct 28 ms 12816 KB Output is correct
89 Correct 28 ms 12852 KB Output is correct
90 Correct 27 ms 12756 KB Output is correct
91 Correct 37 ms 13200 KB Output is correct
92 Correct 34 ms 13132 KB Output is correct
93 Correct 35 ms 13244 KB Output is correct
94 Correct 34 ms 13220 KB Output is correct
95 Correct 34 ms 13128 KB Output is correct
96 Correct 41 ms 13356 KB Output is correct
97 Correct 36 ms 13236 KB Output is correct
98 Correct 36 ms 13188 KB Output is correct
99 Correct 36 ms 13156 KB Output is correct
100 Correct 37 ms 13196 KB Output is correct
101 Correct 37 ms 13252 KB Output is correct
102 Correct 36 ms 13184 KB Output is correct
103 Correct 36 ms 13160 KB Output is correct
104 Correct 38 ms 13196 KB Output is correct
105 Correct 37 ms 13200 KB Output is correct
106 Correct 37 ms 13216 KB Output is correct
107 Correct 39 ms 13168 KB Output is correct
108 Correct 36 ms 13264 KB Output is correct
109 Correct 37 ms 13236 KB Output is correct
110 Correct 36 ms 13212 KB Output is correct
111 Correct 36 ms 13204 KB Output is correct
112 Correct 36 ms 13236 KB Output is correct
113 Correct 51 ms 13236 KB Output is correct
114 Correct 37 ms 13212 KB Output is correct
115 Correct 38 ms 13256 KB Output is correct
116 Correct 1539 ms 13472 KB Output is correct
117 Correct 1563 ms 13472 KB Output is correct
118 Correct 4078 ms 13744 KB Output is correct
119 Correct 4112 ms 13876 KB Output is correct
120 Correct 4162 ms 13880 KB Output is correct
121 Correct 6887 ms 14076 KB Output is correct
122 Execution timed out 7017 ms 13516 KB Time limit exceeded
123 Halted 0 ms 0 KB -