oj.uz

Submission #799488

# Submission time Handle Problem Language Result Execution time Memory
799488 2023-07-31T15:08:44 Z Johann Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 7228 KB 
#include "bits/stdc++.h"
using namespace std;

#pragma GCC optimize "Ofast"
#pragma GCC target("avx2")

typedef long long ll;
typedef vector<ll> vi;
typedef pair<ll, ll> pii;
typedef vector<pii> vpii;
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

const ll INF = 1e18;
int N, Q;
int A[300007];
ll ans[50005];
int freq[300007];
ll tmp;
int pref, suff, n;

struct query
{
    int l, r, idx;
};

ll numberOfSubsequences(ll x)
{
    return x * (x + 1) / 2;
}
ll totalLengthOfSubsequences(ll x)
{
    return x * (x + 1) * (x + 1) / 2 - (2 * x + 1) * (x + 1) * x / 6;
}
void doStuff(ll x, ll y)
{
    ll len = x * y;

    // if both are in set
    tmp -= totalLengthOfSubsequences(len) - x * x * (totalLengthOfSubsequences(y) - y) - y * numberOfSubsequences(x);
    // if one is inside the other isn't
    tmp -= (n - len) * (len * (len + 1) / 2 - x * y * (y + 1) / 2);
    // if both are outside
    tmp -= (len - y) * pref * (n - pref - len);

    pref += len;
    swap(pref, suff);
}
struct segtree
{
    int arr[1 << 20];
    int size;
    void init(int _size)
    {
        size = 1;
        while (size < _size)
            size *= 2;
        fill(arr, arr + 2 * size, 0);
    }
    void add(int i, int v)
    {
        i += size;
        while (i > 0)
        {
            arr[i] += v;
            i /= 2;
        }
    }
    void dfs(int x)
    {
        if (arr[x] == 0)
            return;
        if (x < size)
        {
            dfs(2 * x);
            dfs(2 * x + 1);
        }
        else
        {
            // arr[x] := how often
            doStuff(x - size, (arr[x] + 1) / 2);
            if (arr[x] > 1)
            {
                doStuff(x - size, arr[x] / 2);
                if (arr[x] & 1)
                    swap(pref, suff);
            }
        }
    }
};
segtree seg;
void add(int x)
{
    if (freq[x] > 0)
        seg.add(freq[x], -1);
    ++freq[x];
    seg.add(freq[x], 1);
}
void sub(int x)
{
    seg.add(freq[x], -1);
    --freq[x];
    if (freq[x])
        seg.add(freq[x], 1);
}

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

    cin >> N >> Q;
    for (int i = 0; i < N; ++i)
        cin >> A[i];

    vector<query> Qu(Q);
    for (int i = 0; i < Q; ++i)
        cin >> Qu[i].l >> Qu[i].r, Qu[i].idx = i, --Qu[i].l;

    int sq = ceil(sqrt(N));
    auto cmp = [&](const query &a, const query &b)
    { if (a.l / sq == b.l / sq) 
        return a.r < b.r;
    else
        return a.l < b.l; };
    sort(all(Qu), cmp);

    int lx = 0, rx = 0;
    fill(freq, freq + *max_element(A, A + N) + 1, 0);
    seg.init(N + 1);
    for (query q : Qu)
    {
        while (rx < q.r)
            add(A[rx++]);
        while (lx > q.l)
            add(A[--lx]);
        while (rx > q.r)
            sub(A[--rx]);
        while (lx < q.l)
            sub(A[lx++]);

        n = q.r - q.l;
        pref = 0, suff = 0;
        tmp = totalLengthOfSubsequences(n);

        seg.dfs(1);

        ans[q.idx] = tmp;
    }
    for (int i = 0; i < Q; ++i)
        cout << ans[i] << "\n";

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 6 ms 1748 KB Output is correct
5 Correct 14 ms 3176 KB Output is correct
6 Correct 22 ms 5608 KB Output is correct
7 Correct 24 ms 5580 KB Output is correct
8 Correct 24 ms 5588 KB Output is correct
9 Correct 25 ms 5588 KB Output is correct
10 Correct 20 ms 5588 KB Output is correct
11 Correct 20 ms 5576 KB Output is correct
12 Correct 20 ms 5588 KB Output is correct
13 Correct 20 ms 5496 KB Output is correct
14 Correct 21 ms 5612 KB Output is correct
15 Correct 19 ms 5596 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 6 ms 1748 KB Output is correct
5 Correct 14 ms 3176 KB Output is correct
6 Correct 22 ms 5608 KB Output is correct
7 Correct 24 ms 5580 KB Output is correct
8 Correct 24 ms 5588 KB Output is correct
9 Correct 25 ms 5588 KB Output is correct
10 Correct 20 ms 5588 KB Output is correct
11 Correct 20 ms 5576 KB Output is correct
12 Correct 20 ms 5588 KB Output is correct
13 Correct 20 ms 5496 KB Output is correct
14 Correct 21 ms 5612 KB Output is correct
15 Correct 19 ms 5596 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 7 ms 1748 KB Output is correct
20 Correct 18 ms 3164 KB Output is correct
21 Correct 21 ms 5500 KB Output is correct
22 Correct 21 ms 5588 KB Output is correct
23 Correct 20 ms 5572 KB Output is correct
24 Correct 21 ms 5504 KB Output is correct
25 Correct 20 ms 5588 KB Output is correct
26 Correct 21 ms 5552 KB Output is correct
27 Correct 20 ms 5588 KB Output is correct
28 Correct 21 ms 5608 KB Output is correct
29 Correct 22 ms 5512 KB Output is correct
30 Correct 21 ms 5592 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 6 ms 1748 KB Output is correct
5 Correct 14 ms 3176 KB Output is correct
6 Correct 22 ms 5608 KB Output is correct
7 Correct 24 ms 5580 KB Output is correct
8 Correct 24 ms 5588 KB Output is correct
9 Correct 25 ms 5588 KB Output is correct
10 Correct 20 ms 5588 KB Output is correct
11 Correct 20 ms 5576 KB Output is correct
12 Correct 20 ms 5588 KB Output is correct
13 Correct 20 ms 5496 KB Output is correct
14 Correct 21 ms 5612 KB Output is correct
15 Correct 19 ms 5596 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 7 ms 1748 KB Output is correct
20 Correct 18 ms 3164 KB Output is correct
21 Correct 21 ms 5500 KB Output is correct
22 Correct 21 ms 5588 KB Output is correct
23 Correct 20 ms 5572 KB Output is correct
24 Correct 21 ms 5504 KB Output is correct
25 Correct 20 ms 5588 KB Output is correct
26 Correct 21 ms 5552 KB Output is correct
27 Correct 20 ms 5588 KB Output is correct
28 Correct 21 ms 5608 KB Output is correct
29 Correct 22 ms 5512 KB Output is correct
30 Correct 21 ms 5592 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 1 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 4 ms 980 KB Output is correct
38 Correct 4 ms 980 KB Output is correct
39 Correct 7 ms 1748 KB Output is correct
40 Correct 16 ms 3156 KB Output is correct
41 Correct 24 ms 5588 KB Output is correct
42 Correct 24 ms 5608 KB Output is correct
43 Correct 30 ms 5576 KB Output is correct
44 Correct 24 ms 5588 KB Output is correct
45 Correct 25 ms 5536 KB Output is correct
46 Correct 25 ms 5596 KB Output is correct
47 Correct 25 ms 5612 KB Output is correct
48 Correct 25 ms 5608 KB Output is correct
49 Correct 27 ms 5616 KB Output is correct
50 Correct 24 ms 5524 KB Output is correct
51 Correct 24 ms 5588 KB Output is correct
52 Correct 30 ms 5720 KB Output is correct
53 Correct 24 ms 5588 KB Output is correct
54 Correct 31 ms 5588 KB Output is correct
55 Correct 24 ms 5532 KB Output is correct
56 Correct 25 ms 5588 KB Output is correct
57 Correct 24 ms 5612 KB Output is correct
58 Correct 25 ms 5564 KB Output is correct
59 Correct 24 ms 5500 KB Output is correct
60 Correct 24 ms 5588 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 6 ms 1748 KB Output is correct
15 Correct 14 ms 3176 KB Output is correct
16 Correct 22 ms 5608 KB Output is correct
17 Correct 24 ms 5580 KB Output is correct
18 Correct 24 ms 5588 KB Output is correct
19 Correct 25 ms 5588 KB Output is correct
20 Correct 20 ms 5588 KB Output is correct
21 Correct 20 ms 5576 KB Output is correct
22 Correct 20 ms 5588 KB Output is correct
23 Correct 20 ms 5496 KB Output is correct
24 Correct 21 ms 5612 KB Output is correct
25 Correct 19 ms 5596 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 7 ms 1748 KB Output is correct
30 Correct 18 ms 3164 KB Output is correct
31 Correct 21 ms 5500 KB Output is correct
32 Correct 21 ms 5588 KB Output is correct
33 Correct 20 ms 5572 KB Output is correct
34 Correct 21 ms 5504 KB Output is correct
35 Correct 20 ms 5588 KB Output is correct
36 Correct 21 ms 5552 KB Output is correct
37 Correct 20 ms 5588 KB Output is correct
38 Correct 21 ms 5608 KB Output is correct
39 Correct 22 ms 5512 KB Output is correct
40 Correct 21 ms 5592 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 4 ms 980 KB Output is correct
48 Correct 4 ms 980 KB Output is correct
49 Correct 7 ms 1748 KB Output is correct
50 Correct 16 ms 3156 KB Output is correct
51 Correct 24 ms 5588 KB Output is correct
52 Correct 24 ms 5608 KB Output is correct
53 Correct 30 ms 5576 KB Output is correct
54 Correct 24 ms 5588 KB Output is correct
55 Correct 25 ms 5536 KB Output is correct
56 Correct 25 ms 5596 KB Output is correct
57 Correct 25 ms 5612 KB Output is correct
58 Correct 25 ms 5608 KB Output is correct
59 Correct 27 ms 5616 KB Output is correct
60 Correct 24 ms 5524 KB Output is correct
61 Correct 24 ms 5588 KB Output is correct
62 Correct 30 ms 5720 KB Output is correct
63 Correct 24 ms 5588 KB Output is correct
64 Correct 31 ms 5588 KB Output is correct
65 Correct 24 ms 5532 KB Output is correct
66 Correct 25 ms 5588 KB Output is correct
67 Correct 24 ms 5612 KB Output is correct
68 Correct 25 ms 5564 KB Output is correct
69 Correct 24 ms 5500 KB Output is correct
70 Correct 24 ms 5588 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 980 KB Output is correct
73 Correct 4 ms 980 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 4 ms 1012 KB Output is correct
76 Correct 9 ms 1784 KB Output is correct
77 Correct 9 ms 1748 KB Output is correct
78 Correct 9 ms 1708 KB Output is correct
79 Correct 12 ms 1708 KB Output is correct
80 Correct 9 ms 1748 KB Output is correct
81 Correct 21 ms 3200 KB Output is correct
82 Correct 21 ms 3216 KB Output is correct
83 Correct 21 ms 3220 KB Output is correct
84 Correct 21 ms 3216 KB Output is correct
85 Correct 21 ms 3156 KB Output is correct
86 Correct 25 ms 3156 KB Output is correct
87 Correct 24 ms 3156 KB Output is correct
88 Correct 27 ms 3240 KB Output is correct
89 Correct 24 ms 3252 KB Output is correct
90 Correct 25 ms 3148 KB Output is correct
91 Correct 44 ms 5972 KB Output is correct
92 Correct 45 ms 5980 KB Output is correct
93 Correct 44 ms 5980 KB Output is correct
94 Correct 44 ms 5944 KB Output is correct
95 Correct 48 ms 5972 KB Output is correct
96 Correct 42 ms 6328 KB Output is correct
97 Correct 42 ms 6356 KB Output is correct
98 Correct 42 ms 6276 KB Output is correct
99 Correct 42 ms 6356 KB Output is correct
100 Correct 42 ms 6336 KB Output is correct
101 Correct 42 ms 6368 KB Output is correct
102 Correct 46 ms 6392 KB Output is correct
103 Correct 42 ms 6356 KB Output is correct
104 Correct 42 ms 6324 KB Output is correct
105 Correct 43 ms 6372 KB Output is correct
106 Correct 40 ms 6520 KB Output is correct
107 Correct 40 ms 6564 KB Output is correct
108 Correct 39 ms 6484 KB Output is correct
109 Correct 40 ms 6592 KB Output is correct
110 Correct 41 ms 6568 KB Output is correct
111 Correct 45 ms 6560 KB Output is correct
112 Correct 40 ms 6484 KB Output is correct
113 Correct 40 ms 6524 KB Output is correct
114 Correct 41 ms 6576 KB Output is correct
115 Correct 49 ms 6560 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 6 ms 1748 KB Output is correct
15 Correct 14 ms 3176 KB Output is correct
16 Correct 22 ms 5608 KB Output is correct
17 Correct 24 ms 5580 KB Output is correct
18 Correct 24 ms 5588 KB Output is correct
19 Correct 25 ms 5588 KB Output is correct
20 Correct 20 ms 5588 KB Output is correct
21 Correct 20 ms 5576 KB Output is correct
22 Correct 20 ms 5588 KB Output is correct
23 Correct 20 ms 5496 KB Output is correct
24 Correct 21 ms 5612 KB Output is correct
25 Correct 19 ms 5596 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 7 ms 1748 KB Output is correct
30 Correct 18 ms 3164 KB Output is correct
31 Correct 21 ms 5500 KB Output is correct
32 Correct 21 ms 5588 KB Output is correct
33 Correct 20 ms 5572 KB Output is correct
34 Correct 21 ms 5504 KB Output is correct
35 Correct 20 ms 5588 KB Output is correct
36 Correct 21 ms 5552 KB Output is correct
37 Correct 20 ms 5588 KB Output is correct
38 Correct 21 ms 5608 KB Output is correct
39 Correct 22 ms 5512 KB Output is correct
40 Correct 21 ms 5592 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 4 ms 980 KB Output is correct
48 Correct 4 ms 980 KB Output is correct
49 Correct 7 ms 1748 KB Output is correct
50 Correct 16 ms 3156 KB Output is correct
51 Correct 24 ms 5588 KB Output is correct
52 Correct 24 ms 5608 KB Output is correct
53 Correct 30 ms 5576 KB Output is correct
54 Correct 24 ms 5588 KB Output is correct
55 Correct 25 ms 5536 KB Output is correct
56 Correct 25 ms 5596 KB Output is correct
57 Correct 25 ms 5612 KB Output is correct
58 Correct 25 ms 5608 KB Output is correct
59 Correct 27 ms 5616 KB Output is correct
60 Correct 24 ms 5524 KB Output is correct
61 Correct 24 ms 5588 KB Output is correct
62 Correct 30 ms 5720 KB Output is correct
63 Correct 24 ms 5588 KB Output is correct
64 Correct 31 ms 5588 KB Output is correct
65 Correct 24 ms 5532 KB Output is correct
66 Correct 25 ms 5588 KB Output is correct
67 Correct 24 ms 5612 KB Output is correct
68 Correct 25 ms 5564 KB Output is correct
69 Correct 24 ms 5500 KB Output is correct
70 Correct 24 ms 5588 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 980 KB Output is correct
73 Correct 4 ms 980 KB Output is correct
74 Correct 4 ms 980 KB Output is correct
75 Correct 4 ms 1012 KB Output is correct
76 Correct 9 ms 1784 KB Output is correct
77 Correct 9 ms 1748 KB Output is correct
78 Correct 9 ms 1708 KB Output is correct
79 Correct 12 ms 1708 KB Output is correct
80 Correct 9 ms 1748 KB Output is correct
81 Correct 21 ms 3200 KB Output is correct
82 Correct 21 ms 3216 KB Output is correct
83 Correct 21 ms 3220 KB Output is correct
84 Correct 21 ms 3216 KB Output is correct
85 Correct 21 ms 3156 KB Output is correct
86 Correct 25 ms 3156 KB Output is correct
87 Correct 24 ms 3156 KB Output is correct
88 Correct 27 ms 3240 KB Output is correct
89 Correct 24 ms 3252 KB Output is correct
90 Correct 25 ms 3148 KB Output is correct
91 Correct 44 ms 5972 KB Output is correct
92 Correct 45 ms 5980 KB Output is correct
93 Correct 44 ms 5980 KB Output is correct
94 Correct 44 ms 5944 KB Output is correct
95 Correct 48 ms 5972 KB Output is correct
96 Correct 42 ms 6328 KB Output is correct
97 Correct 42 ms 6356 KB Output is correct
98 Correct 42 ms 6276 KB Output is correct
99 Correct 42 ms 6356 KB Output is correct
100 Correct 42 ms 6336 KB Output is correct
101 Correct 42 ms 6368 KB Output is correct
102 Correct 46 ms 6392 KB Output is correct
103 Correct 42 ms 6356 KB Output is correct
104 Correct 42 ms 6324 KB Output is correct
105 Correct 43 ms 6372 KB Output is correct
106 Correct 40 ms 6520 KB Output is correct
107 Correct 40 ms 6564 KB Output is correct
108 Correct 39 ms 6484 KB Output is correct
109 Correct 40 ms 6592 KB Output is correct
110 Correct 41 ms 6568 KB Output is correct
111 Correct 45 ms 6560 KB Output is correct
112 Correct 40 ms 6484 KB Output is correct
113 Correct 40 ms 6524 KB Output is correct
114 Correct 41 ms 6576 KB Output is correct
115 Correct 49 ms 6560 KB Output is correct
116 Correct 112 ms 1876 KB Output is correct
117 Correct 128 ms 1992 KB Output is correct
118 Correct 393 ms 2536 KB Output is correct
119 Correct 445 ms 2544 KB Output is correct
120 Correct 414 ms 2548 KB Output is correct
121 Correct 979 ms 3256 KB Output is correct
122 Correct 1089 ms 3256 KB Output is correct
123 Correct 2930 ms 4796 KB Output is correct
124 Correct 4580 ms 4816 KB Output is correct
125 Correct 5396 ms 4908 KB Output is correct
126 Correct 4318 ms 7152 KB Output is correct
127 Correct 4339 ms 7092 KB Output is correct
128 Correct 4461 ms 7092 KB Output is correct
129 Correct 4358 ms 7092 KB Output is correct
130 Correct 4420 ms 7152 KB Output is correct
131 Correct 4842 ms 7224 KB Output is correct
132 Correct 5021 ms 7220 KB Output is correct
133 Correct 4823 ms 7228 KB Output is correct
134 Correct 4816 ms 7224 KB Output is correct
135 Correct 4812 ms 7224 KB Output is correct
136 Correct 4899 ms 7224 KB Output is correct
137 Correct 4835 ms 7224 KB Output is correct
138 Correct 4870 ms 7220 KB Output is correct
139 Correct 4874 ms 7220 KB Output is correct
140 Correct 4951 ms 7220 KB Output is correct
141 Correct 5870 ms 7228 KB Output is correct
142 Correct 5870 ms 7224 KB Output is correct
143 Correct 5875 ms 7220 KB Output is correct
144 Correct 5935 ms 7228 KB Output is correct
145 Correct 5907 ms 7224 KB Output is correct
146 Execution timed out 7076 ms 6596 KB Time limit exceeded
147 Halted 0 ms 0 KB -