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Submission #789649

# Submission time Handle Problem Language Result Execution time Memory
789649 2023-07-21T15:56:29 Z math_rabbit_1028 Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 15212 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 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;
 
      	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));
        }  
      
        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 12044 KB Output is correct
2 Correct 17 ms 11988 KB Output is correct
3 Correct 16 ms 11988 KB Output is correct
4 Correct 16 ms 12084 KB Output is correct
5 Correct 21 ms 12080 KB Output is correct
6 Correct 17 ms 12084 KB Output is correct
7 Correct 17 ms 12080 KB Output is correct
8 Correct 17 ms 12080 KB Output is correct
9 Correct 16 ms 11988 KB Output is correct
10 Correct 16 ms 11988 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 12012 KB Output is correct
2 Correct 17 ms 12088 KB Output is correct
3 Correct 17 ms 12116 KB Output is correct
4 Correct 21 ms 12480 KB Output is correct
5 Correct 24 ms 12756 KB Output is correct
6 Correct 32 ms 13220 KB Output is correct
7 Correct 28 ms 13192 KB Output is correct
8 Correct 27 ms 13192 KB Output is correct
9 Correct 32 ms 13224 KB Output is correct
10 Correct 29 ms 13248 KB Output is correct
11 Correct 28 ms 13220 KB Output is correct
12 Correct 29 ms 13200 KB Output is correct
13 Correct 28 ms 13240 KB Output is correct
14 Correct 28 ms 13236 KB Output is correct
15 Correct 28 ms 13260 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 12012 KB Output is correct
2 Correct 17 ms 12088 KB Output is correct
3 Correct 17 ms 12116 KB Output is correct
4 Correct 21 ms 12480 KB Output is correct
5 Correct 24 ms 12756 KB Output is correct
6 Correct 32 ms 13220 KB Output is correct
7 Correct 28 ms 13192 KB Output is correct
8 Correct 27 ms 13192 KB Output is correct
9 Correct 32 ms 13224 KB Output is correct
10 Correct 29 ms 13248 KB Output is correct
11 Correct 28 ms 13220 KB Output is correct
12 Correct 29 ms 13200 KB Output is correct
13 Correct 28 ms 13240 KB Output is correct
14 Correct 28 ms 13236 KB Output is correct
15 Correct 28 ms 13260 KB Output is correct
16 Correct 16 ms 11988 KB Output is correct
17 Correct 16 ms 11988 KB Output is correct
18 Correct 17 ms 12092 KB Output is correct
19 Correct 21 ms 12372 KB Output is correct
20 Correct 29 ms 12852 KB Output is correct
21 Correct 32 ms 13208 KB Output is correct
22 Correct 29 ms 13184 KB Output is correct
23 Correct 30 ms 13252 KB Output is correct
24 Correct 30 ms 13236 KB Output is correct
25 Correct 29 ms 13252 KB Output is correct
26 Correct 29 ms 13140 KB Output is correct
27 Correct 29 ms 13256 KB Output is correct
28 Correct 30 ms 13132 KB Output is correct
29 Correct 30 ms 13240 KB Output is correct
30 Correct 30 ms 13236 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 12012 KB Output is correct
2 Correct 17 ms 12088 KB Output is correct
3 Correct 17 ms 12116 KB Output is correct
4 Correct 21 ms 12480 KB Output is correct
5 Correct 24 ms 12756 KB Output is correct
6 Correct 32 ms 13220 KB Output is correct
7 Correct 28 ms 13192 KB Output is correct
8 Correct 27 ms 13192 KB Output is correct
9 Correct 32 ms 13224 KB Output is correct
10 Correct 29 ms 13248 KB Output is correct
11 Correct 28 ms 13220 KB Output is correct
12 Correct 29 ms 13200 KB Output is correct
13 Correct 28 ms 13240 KB Output is correct
14 Correct 28 ms 13236 KB Output is correct
15 Correct 28 ms 13260 KB Output is correct
16 Correct 16 ms 11988 KB Output is correct
17 Correct 16 ms 11988 KB Output is correct
18 Correct 17 ms 12092 KB Output is correct
19 Correct 21 ms 12372 KB Output is correct
20 Correct 29 ms 12852 KB Output is correct
21 Correct 32 ms 13208 KB Output is correct
22 Correct 29 ms 13184 KB Output is correct
23 Correct 30 ms 13252 KB Output is correct
24 Correct 30 ms 13236 KB Output is correct
25 Correct 29 ms 13252 KB Output is correct
26 Correct 29 ms 13140 KB Output is correct
27 Correct 29 ms 13256 KB Output is correct
28 Correct 30 ms 13132 KB Output is correct
29 Correct 30 ms 13240 KB Output is correct
30 Correct 30 ms 13236 KB Output is correct
31 Correct 16 ms 12092 KB Output is correct
32 Correct 17 ms 12092 KB Output is correct
33 Correct 19 ms 12116 KB Output is correct
34 Correct 17 ms 12132 KB Output is correct
35 Correct 17 ms 12128 KB Output is correct
36 Correct 16 ms 12084 KB Output is correct
37 Correct 18 ms 12288 KB Output is correct
38 Correct 20 ms 12284 KB Output is correct
39 Correct 22 ms 12480 KB Output is correct
40 Correct 26 ms 12828 KB Output is correct
41 Correct 31 ms 13236 KB Output is correct
42 Correct 30 ms 13140 KB Output is correct
43 Correct 31 ms 13240 KB Output is correct
44 Correct 30 ms 13240 KB Output is correct
45 Correct 30 ms 13196 KB Output is correct
46 Correct 31 ms 13260 KB Output is correct
47 Correct 31 ms 13152 KB Output is correct
48 Correct 31 ms 13380 KB Output is correct
49 Correct 30 ms 13268 KB Output is correct
50 Correct 30 ms 13172 KB Output is correct
51 Correct 31 ms 13140 KB Output is correct
52 Correct 30 ms 13132 KB Output is correct
53 Correct 30 ms 13140 KB Output is correct
54 Correct 31 ms 13204 KB Output is correct
55 Correct 31 ms 13200 KB Output is correct
56 Correct 30 ms 13140 KB Output is correct
57 Correct 30 ms 13244 KB Output is correct
58 Correct 30 ms 13208 KB Output is correct
59 Correct 31 ms 13132 KB Output is correct
60 Correct 34 ms 13260 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12044 KB Output is correct
2 Correct 17 ms 11988 KB Output is correct
3 Correct 16 ms 11988 KB Output is correct
4 Correct 16 ms 12084 KB Output is correct
5 Correct 21 ms 12080 KB Output is correct
6 Correct 17 ms 12084 KB Output is correct
7 Correct 17 ms 12080 KB Output is correct
8 Correct 17 ms 12080 KB Output is correct
9 Correct 16 ms 11988 KB Output is correct
10 Correct 16 ms 11988 KB Output is correct
11 Correct 16 ms 12012 KB Output is correct
12 Correct 17 ms 12088 KB Output is correct
13 Correct 17 ms 12116 KB Output is correct
14 Correct 21 ms 12480 KB Output is correct
15 Correct 24 ms 12756 KB Output is correct
16 Correct 32 ms 13220 KB Output is correct
17 Correct 28 ms 13192 KB Output is correct
18 Correct 27 ms 13192 KB Output is correct
19 Correct 32 ms 13224 KB Output is correct
20 Correct 29 ms 13248 KB Output is correct
21 Correct 28 ms 13220 KB Output is correct
22 Correct 29 ms 13200 KB Output is correct
23 Correct 28 ms 13240 KB Output is correct
24 Correct 28 ms 13236 KB Output is correct
25 Correct 28 ms 13260 KB Output is correct
26 Correct 16 ms 11988 KB Output is correct
27 Correct 16 ms 11988 KB Output is correct
28 Correct 17 ms 12092 KB Output is correct
29 Correct 21 ms 12372 KB Output is correct
30 Correct 29 ms 12852 KB Output is correct
31 Correct 32 ms 13208 KB Output is correct
32 Correct 29 ms 13184 KB Output is correct
33 Correct 30 ms 13252 KB Output is correct
34 Correct 30 ms 13236 KB Output is correct
35 Correct 29 ms 13252 KB Output is correct
36 Correct 29 ms 13140 KB Output is correct
37 Correct 29 ms 13256 KB Output is correct
38 Correct 30 ms 13132 KB Output is correct
39 Correct 30 ms 13240 KB Output is correct
40 Correct 30 ms 13236 KB Output is correct
41 Correct 16 ms 12092 KB Output is correct
42 Correct 17 ms 12092 KB Output is correct
43 Correct 19 ms 12116 KB Output is correct
44 Correct 17 ms 12132 KB Output is correct
45 Correct 17 ms 12128 KB Output is correct
46 Correct 16 ms 12084 KB Output is correct
47 Correct 18 ms 12288 KB Output is correct
48 Correct 20 ms 12284 KB Output is correct
49 Correct 22 ms 12480 KB Output is correct
50 Correct 26 ms 12828 KB Output is correct
51 Correct 31 ms 13236 KB Output is correct
52 Correct 30 ms 13140 KB Output is correct
53 Correct 31 ms 13240 KB Output is correct
54 Correct 30 ms 13240 KB Output is correct
55 Correct 30 ms 13196 KB Output is correct
56 Correct 31 ms 13260 KB Output is correct
57 Correct 31 ms 13152 KB Output is correct
58 Correct 31 ms 13380 KB Output is correct
59 Correct 30 ms 13268 KB Output is correct
60 Correct 30 ms 13172 KB Output is correct
61 Correct 31 ms 13140 KB Output is correct
62 Correct 30 ms 13132 KB Output is correct
63 Correct 30 ms 13140 KB Output is correct
64 Correct 31 ms 13204 KB Output is correct
65 Correct 31 ms 13200 KB Output is correct
66 Correct 30 ms 13140 KB Output is correct
67 Correct 30 ms 13244 KB Output is correct
68 Correct 30 ms 13208 KB Output is correct
69 Correct 31 ms 13132 KB Output is correct
70 Correct 34 ms 13260 KB Output is correct
71 Correct 18 ms 12244 KB Output is correct
72 Correct 19 ms 12280 KB Output is correct
73 Correct 18 ms 12244 KB Output is correct
74 Correct 19 ms 12244 KB Output is correct
75 Correct 19 ms 12200 KB Output is correct
76 Correct 22 ms 12476 KB Output is correct
77 Correct 22 ms 12440 KB Output is correct
78 Correct 22 ms 12480 KB Output is correct
79 Correct 21 ms 12476 KB Output is correct
80 Correct 22 ms 12376 KB Output is correct
81 Correct 27 ms 12760 KB Output is correct
82 Correct 27 ms 12828 KB Output is correct
83 Correct 28 ms 12756 KB Output is correct
84 Correct 33 ms 12808 KB Output is correct
85 Correct 27 ms 12756 KB Output is correct
86 Correct 28 ms 12756 KB Output is correct
87 Correct 28 ms 12756 KB Output is correct
88 Correct 28 ms 12816 KB Output is correct
89 Correct 28 ms 12736 KB Output is correct
90 Correct 28 ms 12824 KB Output is correct
91 Correct 35 ms 13172 KB Output is correct
92 Correct 34 ms 13208 KB Output is correct
93 Correct 35 ms 13196 KB Output is correct
94 Correct 34 ms 13164 KB Output is correct
95 Correct 34 ms 13220 KB Output is correct
96 Correct 43 ms 13288 KB Output is correct
97 Correct 36 ms 13132 KB Output is correct
98 Correct 37 ms 13148 KB Output is correct
99 Correct 37 ms 13224 KB Output is correct
100 Correct 36 ms 13140 KB Output is correct
101 Correct 37 ms 13120 KB Output is correct
102 Correct 36 ms 13152 KB Output is correct
103 Correct 42 ms 13220 KB Output is correct
104 Correct 37 ms 13196 KB Output is correct
105 Correct 37 ms 13152 KB Output is correct
106 Correct 36 ms 13140 KB Output is correct
107 Correct 43 ms 13216 KB Output is correct
108 Correct 37 ms 13196 KB Output is correct
109 Correct 36 ms 13252 KB Output is correct
110 Correct 36 ms 13172 KB Output is correct
111 Correct 36 ms 13204 KB Output is correct
112 Correct 35 ms 13216 KB Output is correct
113 Correct 42 ms 13236 KB Output is correct
114 Correct 36 ms 13264 KB Output is correct
115 Correct 36 ms 13220 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12044 KB Output is correct
2 Correct 17 ms 11988 KB Output is correct
3 Correct 16 ms 11988 KB Output is correct
4 Correct 16 ms 12084 KB Output is correct
5 Correct 21 ms 12080 KB Output is correct
6 Correct 17 ms 12084 KB Output is correct
7 Correct 17 ms 12080 KB Output is correct
8 Correct 17 ms 12080 KB Output is correct
9 Correct 16 ms 11988 KB Output is correct
10 Correct 16 ms 11988 KB Output is correct
11 Correct 16 ms 12012 KB Output is correct
12 Correct 17 ms 12088 KB Output is correct
13 Correct 17 ms 12116 KB Output is correct
14 Correct 21 ms 12480 KB Output is correct
15 Correct 24 ms 12756 KB Output is correct
16 Correct 32 ms 13220 KB Output is correct
17 Correct 28 ms 13192 KB Output is correct
18 Correct 27 ms 13192 KB Output is correct
19 Correct 32 ms 13224 KB Output is correct
20 Correct 29 ms 13248 KB Output is correct
21 Correct 28 ms 13220 KB Output is correct
22 Correct 29 ms 13200 KB Output is correct
23 Correct 28 ms 13240 KB Output is correct
24 Correct 28 ms 13236 KB Output is correct
25 Correct 28 ms 13260 KB Output is correct
26 Correct 16 ms 11988 KB Output is correct
27 Correct 16 ms 11988 KB Output is correct
28 Correct 17 ms 12092 KB Output is correct
29 Correct 21 ms 12372 KB Output is correct
30 Correct 29 ms 12852 KB Output is correct
31 Correct 32 ms 13208 KB Output is correct
32 Correct 29 ms 13184 KB Output is correct
33 Correct 30 ms 13252 KB Output is correct
34 Correct 30 ms 13236 KB Output is correct
35 Correct 29 ms 13252 KB Output is correct
36 Correct 29 ms 13140 KB Output is correct
37 Correct 29 ms 13256 KB Output is correct
38 Correct 30 ms 13132 KB Output is correct
39 Correct 30 ms 13240 KB Output is correct
40 Correct 30 ms 13236 KB Output is correct
41 Correct 16 ms 12092 KB Output is correct
42 Correct 17 ms 12092 KB Output is correct
43 Correct 19 ms 12116 KB Output is correct
44 Correct 17 ms 12132 KB Output is correct
45 Correct 17 ms 12128 KB Output is correct
46 Correct 16 ms 12084 KB Output is correct
47 Correct 18 ms 12288 KB Output is correct
48 Correct 20 ms 12284 KB Output is correct
49 Correct 22 ms 12480 KB Output is correct
50 Correct 26 ms 12828 KB Output is correct
51 Correct 31 ms 13236 KB Output is correct
52 Correct 30 ms 13140 KB Output is correct
53 Correct 31 ms 13240 KB Output is correct
54 Correct 30 ms 13240 KB Output is correct
55 Correct 30 ms 13196 KB Output is correct
56 Correct 31 ms 13260 KB Output is correct
57 Correct 31 ms 13152 KB Output is correct
58 Correct 31 ms 13380 KB Output is correct
59 Correct 30 ms 13268 KB Output is correct
60 Correct 30 ms 13172 KB Output is correct
61 Correct 31 ms 13140 KB Output is correct
62 Correct 30 ms 13132 KB Output is correct
63 Correct 30 ms 13140 KB Output is correct
64 Correct 31 ms 13204 KB Output is correct
65 Correct 31 ms 13200 KB Output is correct
66 Correct 30 ms 13140 KB Output is correct
67 Correct 30 ms 13244 KB Output is correct
68 Correct 30 ms 13208 KB Output is correct
69 Correct 31 ms 13132 KB Output is correct
70 Correct 34 ms 13260 KB Output is correct
71 Correct 18 ms 12244 KB Output is correct
72 Correct 19 ms 12280 KB Output is correct
73 Correct 18 ms 12244 KB Output is correct
74 Correct 19 ms 12244 KB Output is correct
75 Correct 19 ms 12200 KB Output is correct
76 Correct 22 ms 12476 KB Output is correct
77 Correct 22 ms 12440 KB Output is correct
78 Correct 22 ms 12480 KB Output is correct
79 Correct 21 ms 12476 KB Output is correct
80 Correct 22 ms 12376 KB Output is correct
81 Correct 27 ms 12760 KB Output is correct
82 Correct 27 ms 12828 KB Output is correct
83 Correct 28 ms 12756 KB Output is correct
84 Correct 33 ms 12808 KB Output is correct
85 Correct 27 ms 12756 KB Output is correct
86 Correct 28 ms 12756 KB Output is correct
87 Correct 28 ms 12756 KB Output is correct
88 Correct 28 ms 12816 KB Output is correct
89 Correct 28 ms 12736 KB Output is correct
90 Correct 28 ms 12824 KB Output is correct
91 Correct 35 ms 13172 KB Output is correct
92 Correct 34 ms 13208 KB Output is correct
93 Correct 35 ms 13196 KB Output is correct
94 Correct 34 ms 13164 KB Output is correct
95 Correct 34 ms 13220 KB Output is correct
96 Correct 43 ms 13288 KB Output is correct
97 Correct 36 ms 13132 KB Output is correct
98 Correct 37 ms 13148 KB Output is correct
99 Correct 37 ms 13224 KB Output is correct
100 Correct 36 ms 13140 KB Output is correct
101 Correct 37 ms 13120 KB Output is correct
102 Correct 36 ms 13152 KB Output is correct
103 Correct 42 ms 13220 KB Output is correct
104 Correct 37 ms 13196 KB Output is correct
105 Correct 37 ms 13152 KB Output is correct
106 Correct 36 ms 13140 KB Output is correct
107 Correct 43 ms 13216 KB Output is correct
108 Correct 37 ms 13196 KB Output is correct
109 Correct 36 ms 13252 KB Output is correct
110 Correct 36 ms 13172 KB Output is correct
111 Correct 36 ms 13204 KB Output is correct
112 Correct 35 ms 13216 KB Output is correct
113 Correct 42 ms 13236 KB Output is correct
114 Correct 36 ms 13264 KB Output is correct
115 Correct 36 ms 13220 KB Output is correct
116 Correct 1475 ms 13584 KB Output is correct
117 Correct 1499 ms 13724 KB Output is correct
118 Correct 3792 ms 14008 KB Output is correct
119 Correct 3962 ms 14048 KB Output is correct
120 Correct 4027 ms 13752 KB Output is correct
121 Correct 6717 ms 14204 KB Output is correct
122 Correct 6824 ms 13944 KB Output is correct
123 Execution timed out 7065 ms 15212 KB Time limit exceeded
124 Halted 0 ms 0 KB -