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Submission #789647

# Submission time Handle Problem Language Result Execution time Memory
789647 2023-07-21T15:51:55 Z math_rabbit_1028 Diversity (CEOI21_diversity) C++14
64 / 100
 43 ms 26264 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);
    }
    assert(v.size() == m + 1);

    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 15 ms 12232 KB Output is correct
2 Correct 16 ms 12244 KB Output is correct
3 Correct 15 ms 12248 KB Output is correct
4 Correct 15 ms 12232 KB Output is correct
5 Correct 15 ms 12252 KB Output is correct
6 Correct 15 ms 12116 KB Output is correct
7 Correct 15 ms 12244 KB Output is correct
8 Correct 15 ms 12232 KB Output is correct
9 Correct 16 ms 12232 KB Output is correct
10 Correct 16 ms 12232 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12244 KB Output is correct
2 Correct 15 ms 12132 KB Output is correct
3 Correct 16 ms 12368 KB Output is correct
4 Correct 20 ms 13360 KB Output is correct
5 Correct 23 ms 14504 KB Output is correct
6 Correct 29 ms 15680 KB Output is correct
7 Correct 28 ms 15648 KB Output is correct
8 Correct 28 ms 15964 KB Output is correct
9 Correct 33 ms 15808 KB Output is correct
10 Correct 28 ms 15688 KB Output is correct
11 Correct 29 ms 15876 KB Output is correct
12 Correct 29 ms 15896 KB Output is correct
13 Correct 29 ms 15944 KB Output is correct
14 Correct 29 ms 15924 KB Output is correct
15 Correct 29 ms 15928 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12244 KB Output is correct
2 Correct 15 ms 12132 KB Output is correct
3 Correct 16 ms 12368 KB Output is correct
4 Correct 20 ms 13360 KB Output is correct
5 Correct 23 ms 14504 KB Output is correct
6 Correct 29 ms 15680 KB Output is correct
7 Correct 28 ms 15648 KB Output is correct
8 Correct 28 ms 15964 KB Output is correct
9 Correct 33 ms 15808 KB Output is correct
10 Correct 28 ms 15688 KB Output is correct
11 Correct 29 ms 15876 KB Output is correct
12 Correct 29 ms 15896 KB Output is correct
13 Correct 29 ms 15944 KB Output is correct
14 Correct 29 ms 15924 KB Output is correct
15 Correct 29 ms 15928 KB Output is correct
16 Correct 18 ms 12236 KB Output is correct
17 Correct 15 ms 12216 KB Output is correct
18 Correct 16 ms 12360 KB Output is correct
19 Correct 19 ms 13640 KB Output is correct
20 Correct 25 ms 14632 KB Output is correct
21 Correct 29 ms 15656 KB Output is correct
22 Correct 30 ms 16000 KB Output is correct
23 Correct 30 ms 16008 KB Output is correct
24 Correct 30 ms 15972 KB Output is correct
25 Correct 31 ms 15916 KB Output is correct
26 Correct 30 ms 16080 KB Output is correct
27 Correct 32 ms 15932 KB Output is correct
28 Correct 30 ms 15936 KB Output is correct
29 Correct 31 ms 16100 KB Output is correct
30 Correct 30 ms 15960 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12244 KB Output is correct
2 Correct 15 ms 12132 KB Output is correct
3 Correct 16 ms 12368 KB Output is correct
4 Correct 20 ms 13360 KB Output is correct
5 Correct 23 ms 14504 KB Output is correct
6 Correct 29 ms 15680 KB Output is correct
7 Correct 28 ms 15648 KB Output is correct
8 Correct 28 ms 15964 KB Output is correct
9 Correct 33 ms 15808 KB Output is correct
10 Correct 28 ms 15688 KB Output is correct
11 Correct 29 ms 15876 KB Output is correct
12 Correct 29 ms 15896 KB Output is correct
13 Correct 29 ms 15944 KB Output is correct
14 Correct 29 ms 15924 KB Output is correct
15 Correct 29 ms 15928 KB Output is correct
16 Correct 18 ms 12236 KB Output is correct
17 Correct 15 ms 12216 KB Output is correct
18 Correct 16 ms 12360 KB Output is correct
19 Correct 19 ms 13640 KB Output is correct
20 Correct 25 ms 14632 KB Output is correct
21 Correct 29 ms 15656 KB Output is correct
22 Correct 30 ms 16000 KB Output is correct
23 Correct 30 ms 16008 KB Output is correct
24 Correct 30 ms 15972 KB Output is correct
25 Correct 31 ms 15916 KB Output is correct
26 Correct 30 ms 16080 KB Output is correct
27 Correct 32 ms 15932 KB Output is correct
28 Correct 30 ms 15936 KB Output is correct
29 Correct 31 ms 16100 KB Output is correct
30 Correct 30 ms 15960 KB Output is correct
31 Correct 15 ms 12232 KB Output is correct
32 Correct 15 ms 12256 KB Output is correct
33 Correct 15 ms 12256 KB Output is correct
34 Correct 18 ms 12364 KB Output is correct
35 Correct 17 ms 12412 KB Output is correct
36 Correct 16 ms 12320 KB Output is correct
37 Correct 22 ms 12744 KB Output is correct
38 Correct 18 ms 12704 KB Output is correct
39 Correct 20 ms 13384 KB Output is correct
40 Correct 26 ms 14828 KB Output is correct
41 Correct 31 ms 15956 KB Output is correct
42 Correct 33 ms 16064 KB Output is correct
43 Correct 30 ms 15964 KB Output is correct
44 Correct 30 ms 15936 KB Output is correct
45 Correct 31 ms 15952 KB Output is correct
46 Correct 30 ms 15996 KB Output is correct
47 Correct 40 ms 15908 KB Output is correct
48 Correct 31 ms 16000 KB Output is correct
49 Correct 31 ms 16000 KB Output is correct
50 Correct 31 ms 15920 KB Output is correct
51 Correct 31 ms 15996 KB Output is correct
52 Correct 31 ms 16256 KB Output is correct
53 Correct 31 ms 15936 KB Output is correct
54 Correct 31 ms 16240 KB Output is correct
55 Correct 31 ms 16228 KB Output is correct
56 Correct 31 ms 16240 KB Output is correct
57 Correct 32 ms 16372 KB Output is correct
58 Correct 31 ms 16256 KB Output is correct
59 Correct 32 ms 16240 KB Output is correct
60 Correct 32 ms 16200 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12232 KB Output is correct
2 Correct 16 ms 12244 KB Output is correct
3 Correct 15 ms 12248 KB Output is correct
4 Correct 15 ms 12232 KB Output is correct
5 Correct 15 ms 12252 KB Output is correct
6 Correct 15 ms 12116 KB Output is correct
7 Correct 15 ms 12244 KB Output is correct
8 Correct 15 ms 12232 KB Output is correct
9 Correct 16 ms 12232 KB Output is correct
10 Correct 16 ms 12232 KB Output is correct
11 Correct 15 ms 12244 KB Output is correct
12 Correct 15 ms 12132 KB Output is correct
13 Correct 16 ms 12368 KB Output is correct
14 Correct 20 ms 13360 KB Output is correct
15 Correct 23 ms 14504 KB Output is correct
16 Correct 29 ms 15680 KB Output is correct
17 Correct 28 ms 15648 KB Output is correct
18 Correct 28 ms 15964 KB Output is correct
19 Correct 33 ms 15808 KB Output is correct
20 Correct 28 ms 15688 KB Output is correct
21 Correct 29 ms 15876 KB Output is correct
22 Correct 29 ms 15896 KB Output is correct
23 Correct 29 ms 15944 KB Output is correct
24 Correct 29 ms 15924 KB Output is correct
25 Correct 29 ms 15928 KB Output is correct
26 Correct 18 ms 12236 KB Output is correct
27 Correct 15 ms 12216 KB Output is correct
28 Correct 16 ms 12360 KB Output is correct
29 Correct 19 ms 13640 KB Output is correct
30 Correct 25 ms 14632 KB Output is correct
31 Correct 29 ms 15656 KB Output is correct
32 Correct 30 ms 16000 KB Output is correct
33 Correct 30 ms 16008 KB Output is correct
34 Correct 30 ms 15972 KB Output is correct
35 Correct 31 ms 15916 KB Output is correct
36 Correct 30 ms 16080 KB Output is correct
37 Correct 32 ms 15932 KB Output is correct
38 Correct 30 ms 15936 KB Output is correct
39 Correct 31 ms 16100 KB Output is correct
40 Correct 30 ms 15960 KB Output is correct
41 Correct 15 ms 12232 KB Output is correct
42 Correct 15 ms 12256 KB Output is correct
43 Correct 15 ms 12256 KB Output is correct
44 Correct 18 ms 12364 KB Output is correct
45 Correct 17 ms 12412 KB Output is correct
46 Correct 16 ms 12320 KB Output is correct
47 Correct 22 ms 12744 KB Output is correct
48 Correct 18 ms 12704 KB Output is correct
49 Correct 20 ms 13384 KB Output is correct
50 Correct 26 ms 14828 KB Output is correct
51 Correct 31 ms 15956 KB Output is correct
52 Correct 33 ms 16064 KB Output is correct
53 Correct 30 ms 15964 KB Output is correct
54 Correct 30 ms 15936 KB Output is correct
55 Correct 31 ms 15952 KB Output is correct
56 Correct 30 ms 15996 KB Output is correct
57 Correct 40 ms 15908 KB Output is correct
58 Correct 31 ms 16000 KB Output is correct
59 Correct 31 ms 16000 KB Output is correct
60 Correct 31 ms 15920 KB Output is correct
61 Correct 31 ms 15996 KB Output is correct
62 Correct 31 ms 16256 KB Output is correct
63 Correct 31 ms 15936 KB Output is correct
64 Correct 31 ms 16240 KB Output is correct
65 Correct 31 ms 16228 KB Output is correct
66 Correct 31 ms 16240 KB Output is correct
67 Correct 32 ms 16372 KB Output is correct
68 Correct 31 ms 16256 KB Output is correct
69 Correct 32 ms 16240 KB Output is correct
70 Correct 32 ms 16200 KB Output is correct
71 Correct 18 ms 13060 KB Output is correct
72 Correct 18 ms 13056 KB Output is correct
73 Correct 18 ms 13000 KB Output is correct
74 Correct 18 ms 13056 KB Output is correct
75 Correct 19 ms 12956 KB Output is correct
76 Correct 21 ms 13668 KB Output is correct
77 Correct 25 ms 13740 KB Output is correct
78 Correct 21 ms 13440 KB Output is correct
79 Correct 21 ms 13628 KB Output is correct
80 Correct 21 ms 13676 KB Output is correct
81 Correct 27 ms 15048 KB Output is correct
82 Correct 27 ms 15104 KB Output is correct
83 Correct 27 ms 14972 KB Output is correct
84 Correct 27 ms 14836 KB Output is correct
85 Correct 28 ms 14784 KB Output is correct
86 Correct 28 ms 15032 KB Output is correct
87 Correct 28 ms 15000 KB Output is correct
88 Correct 30 ms 14968 KB Output is correct
89 Correct 29 ms 14988 KB Output is correct
90 Correct 32 ms 14996 KB Output is correct
91 Correct 33 ms 16136 KB Output is correct
92 Correct 35 ms 16084 KB Output is correct
93 Correct 33 ms 15936 KB Output is correct
94 Correct 33 ms 15980 KB Output is correct
95 Correct 36 ms 15936 KB Output is correct
96 Correct 36 ms 16128 KB Output is correct
97 Correct 36 ms 16132 KB Output is correct
98 Correct 36 ms 16252 KB Output is correct
99 Correct 36 ms 16196 KB Output is correct
100 Correct 38 ms 15944 KB Output is correct
101 Correct 43 ms 16292 KB Output is correct
102 Correct 36 ms 16188 KB Output is correct
103 Correct 36 ms 16152 KB Output is correct
104 Correct 37 ms 16176 KB Output is correct
105 Correct 36 ms 16208 KB Output is correct
106 Correct 37 ms 16192 KB Output is correct
107 Correct 40 ms 16140 KB Output is correct
108 Correct 35 ms 16252 KB Output is correct
109 Correct 36 ms 16192 KB Output is correct
110 Correct 38 ms 16192 KB Output is correct
111 Correct 43 ms 16060 KB Output is correct
112 Correct 35 ms 15712 KB Output is correct
113 Correct 35 ms 15744 KB Output is correct
114 Correct 35 ms 15696 KB Output is correct
115 Correct 35 ms 15692 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 12232 KB Output is correct
2 Correct 16 ms 12244 KB Output is correct
3 Correct 15 ms 12248 KB Output is correct
4 Correct 15 ms 12232 KB Output is correct
5 Correct 15 ms 12252 KB Output is correct
6 Correct 15 ms 12116 KB Output is correct
7 Correct 15 ms 12244 KB Output is correct
8 Correct 15 ms 12232 KB Output is correct
9 Correct 16 ms 12232 KB Output is correct
10 Correct 16 ms 12232 KB Output is correct
11 Correct 15 ms 12244 KB Output is correct
12 Correct 15 ms 12132 KB Output is correct
13 Correct 16 ms 12368 KB Output is correct
14 Correct 20 ms 13360 KB Output is correct
15 Correct 23 ms 14504 KB Output is correct
16 Correct 29 ms 15680 KB Output is correct
17 Correct 28 ms 15648 KB Output is correct
18 Correct 28 ms 15964 KB Output is correct
19 Correct 33 ms 15808 KB Output is correct
20 Correct 28 ms 15688 KB Output is correct
21 Correct 29 ms 15876 KB Output is correct
22 Correct 29 ms 15896 KB Output is correct
23 Correct 29 ms 15944 KB Output is correct
24 Correct 29 ms 15924 KB Output is correct
25 Correct 29 ms 15928 KB Output is correct
26 Correct 18 ms 12236 KB Output is correct
27 Correct 15 ms 12216 KB Output is correct
28 Correct 16 ms 12360 KB Output is correct
29 Correct 19 ms 13640 KB Output is correct
30 Correct 25 ms 14632 KB Output is correct
31 Correct 29 ms 15656 KB Output is correct
32 Correct 30 ms 16000 KB Output is correct
33 Correct 30 ms 16008 KB Output is correct
34 Correct 30 ms 15972 KB Output is correct
35 Correct 31 ms 15916 KB Output is correct
36 Correct 30 ms 16080 KB Output is correct
37 Correct 32 ms 15932 KB Output is correct
38 Correct 30 ms 15936 KB Output is correct
39 Correct 31 ms 16100 KB Output is correct
40 Correct 30 ms 15960 KB Output is correct
41 Correct 15 ms 12232 KB Output is correct
42 Correct 15 ms 12256 KB Output is correct
43 Correct 15 ms 12256 KB Output is correct
44 Correct 18 ms 12364 KB Output is correct
45 Correct 17 ms 12412 KB Output is correct
46 Correct 16 ms 12320 KB Output is correct
47 Correct 22 ms 12744 KB Output is correct
48 Correct 18 ms 12704 KB Output is correct
49 Correct 20 ms 13384 KB Output is correct
50 Correct 26 ms 14828 KB Output is correct
51 Correct 31 ms 15956 KB Output is correct
52 Correct 33 ms 16064 KB Output is correct
53 Correct 30 ms 15964 KB Output is correct
54 Correct 30 ms 15936 KB Output is correct
55 Correct 31 ms 15952 KB Output is correct
56 Correct 30 ms 15996 KB Output is correct
57 Correct 40 ms 15908 KB Output is correct
58 Correct 31 ms 16000 KB Output is correct
59 Correct 31 ms 16000 KB Output is correct
60 Correct 31 ms 15920 KB Output is correct
61 Correct 31 ms 15996 KB Output is correct
62 Correct 31 ms 16256 KB Output is correct
63 Correct 31 ms 15936 KB Output is correct
64 Correct 31 ms 16240 KB Output is correct
65 Correct 31 ms 16228 KB Output is correct
66 Correct 31 ms 16240 KB Output is correct
67 Correct 32 ms 16372 KB Output is correct
68 Correct 31 ms 16256 KB Output is correct
69 Correct 32 ms 16240 KB Output is correct
70 Correct 32 ms 16200 KB Output is correct
71 Correct 18 ms 13060 KB Output is correct
72 Correct 18 ms 13056 KB Output is correct
73 Correct 18 ms 13000 KB Output is correct
74 Correct 18 ms 13056 KB Output is correct
75 Correct 19 ms 12956 KB Output is correct
76 Correct 21 ms 13668 KB Output is correct
77 Correct 25 ms 13740 KB Output is correct
78 Correct 21 ms 13440 KB Output is correct
79 Correct 21 ms 13628 KB Output is correct
80 Correct 21 ms 13676 KB Output is correct
81 Correct 27 ms 15048 KB Output is correct
82 Correct 27 ms 15104 KB Output is correct
83 Correct 27 ms 14972 KB Output is correct
84 Correct 27 ms 14836 KB Output is correct
85 Correct 28 ms 14784 KB Output is correct
86 Correct 28 ms 15032 KB Output is correct
87 Correct 28 ms 15000 KB Output is correct
88 Correct 30 ms 14968 KB Output is correct
89 Correct 29 ms 14988 KB Output is correct
90 Correct 32 ms 14996 KB Output is correct
91 Correct 33 ms 16136 KB Output is correct
92 Correct 35 ms 16084 KB Output is correct
93 Correct 33 ms 15936 KB Output is correct
94 Correct 33 ms 15980 KB Output is correct
95 Correct 36 ms 15936 KB Output is correct
96 Correct 36 ms 16128 KB Output is correct
97 Correct 36 ms 16132 KB Output is correct
98 Correct 36 ms 16252 KB Output is correct
99 Correct 36 ms 16196 KB Output is correct
100 Correct 38 ms 15944 KB Output is correct
101 Correct 43 ms 16292 KB Output is correct
102 Correct 36 ms 16188 KB Output is correct
103 Correct 36 ms 16152 KB Output is correct
104 Correct 37 ms 16176 KB Output is correct
105 Correct 36 ms 16208 KB Output is correct
106 Correct 37 ms 16192 KB Output is correct
107 Correct 40 ms 16140 KB Output is correct
108 Correct 35 ms 16252 KB Output is correct
109 Correct 36 ms 16192 KB Output is correct
110 Correct 38 ms 16192 KB Output is correct
111 Correct 43 ms 16060 KB Output is correct
112 Correct 35 ms 15712 KB Output is correct
113 Correct 35 ms 15744 KB Output is correct
114 Correct 35 ms 15696 KB Output is correct
115 Correct 35 ms 15692 KB Output is correct
116 Runtime error 43 ms 26264 KB Execution killed with signal 6
117 Halted 0 ms 0 KB -