oj.uz

Submission #799483

# Submission time Handle Problem Language Result Execution time Memory
799483 2023-07-31T15:03:43 Z Johann Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 7304 KB 
#include "bits/stdc++.h"
using namespace std;

#pragma GCC optimize("O3,unroll-loops")
#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 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 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 1 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 1 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 7 ms 1748 KB Output is correct
5 Correct 16 ms 3180 KB Output is correct
6 Correct 20 ms 5608 KB Output is correct
7 Correct 19 ms 5588 KB Output is correct
8 Correct 22 ms 5516 KB Output is correct
9 Correct 20 ms 5608 KB Output is correct
10 Correct 20 ms 5516 KB Output is correct
11 Correct 21 ms 5608 KB Output is correct
12 Correct 20 ms 5572 KB Output is correct
13 Correct 20 ms 5556 KB Output is correct
14 Correct 21 ms 5520 KB Output is correct
15 Correct 20 ms 5588 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 7 ms 1748 KB Output is correct
5 Correct 16 ms 3180 KB Output is correct
6 Correct 20 ms 5608 KB Output is correct
7 Correct 19 ms 5588 KB Output is correct
8 Correct 22 ms 5516 KB Output is correct
9 Correct 20 ms 5608 KB Output is correct
10 Correct 20 ms 5516 KB Output is correct
11 Correct 21 ms 5608 KB Output is correct
12 Correct 20 ms 5572 KB Output is correct
13 Correct 20 ms 5556 KB Output is correct
14 Correct 21 ms 5520 KB Output is correct
15 Correct 20 ms 5588 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 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 14 ms 3068 KB Output is correct
21 Correct 23 ms 5600 KB Output is correct
22 Correct 21 ms 5592 KB Output is correct
23 Correct 21 ms 5492 KB Output is correct
24 Correct 21 ms 5540 KB Output is correct
25 Correct 21 ms 5544 KB Output is correct
26 Correct 21 ms 5588 KB Output is correct
27 Correct 21 ms 5588 KB Output is correct
28 Correct 21 ms 5588 KB Output is correct
29 Correct 22 ms 5608 KB Output is correct
30 Correct 21 ms 5576 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 7 ms 1748 KB Output is correct
5 Correct 16 ms 3180 KB Output is correct
6 Correct 20 ms 5608 KB Output is correct
7 Correct 19 ms 5588 KB Output is correct
8 Correct 22 ms 5516 KB Output is correct
9 Correct 20 ms 5608 KB Output is correct
10 Correct 20 ms 5516 KB Output is correct
11 Correct 21 ms 5608 KB Output is correct
12 Correct 20 ms 5572 KB Output is correct
13 Correct 20 ms 5556 KB Output is correct
14 Correct 21 ms 5520 KB Output is correct
15 Correct 20 ms 5588 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 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 14 ms 3068 KB Output is correct
21 Correct 23 ms 5600 KB Output is correct
22 Correct 21 ms 5592 KB Output is correct
23 Correct 21 ms 5492 KB Output is correct
24 Correct 21 ms 5540 KB Output is correct
25 Correct 21 ms 5544 KB Output is correct
26 Correct 21 ms 5588 KB Output is correct
27 Correct 21 ms 5588 KB Output is correct
28 Correct 21 ms 5588 KB Output is correct
29 Correct 22 ms 5608 KB Output is correct
30 Correct 21 ms 5576 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 288 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 984 KB Output is correct
39 Correct 8 ms 1748 KB Output is correct
40 Correct 15 ms 3184 KB Output is correct
41 Correct 25 ms 5572 KB Output is correct
42 Correct 25 ms 5576 KB Output is correct
43 Correct 24 ms 5496 KB Output is correct
44 Correct 24 ms 5588 KB Output is correct
45 Correct 24 ms 5552 KB Output is correct
46 Correct 28 ms 5484 KB Output is correct
47 Correct 24 ms 5560 KB Output is correct
48 Correct 28 ms 5588 KB Output is correct
49 Correct 25 ms 5580 KB Output is correct
50 Correct 24 ms 5592 KB Output is correct
51 Correct 24 ms 5588 KB Output is correct
52 Correct 24 ms 5564 KB Output is correct
53 Correct 24 ms 5612 KB Output is correct
54 Correct 25 ms 5496 KB Output is correct
55 Correct 24 ms 5568 KB Output is correct
56 Correct 24 ms 5488 KB Output is correct
57 Correct 24 ms 5520 KB Output is correct
58 Correct 27 ms 5524 KB Output is correct
59 Correct 24 ms 5588 KB Output is correct
60 Correct 24 ms 5488 KB Output is correct

Subtask #5
26.0 / 26.0

# 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 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 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 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 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 7 ms 1748 KB Output is correct
15 Correct 16 ms 3180 KB Output is correct
16 Correct 20 ms 5608 KB Output is correct
17 Correct 19 ms 5588 KB Output is correct
18 Correct 22 ms 5516 KB Output is correct
19 Correct 20 ms 5608 KB Output is correct
20 Correct 20 ms 5516 KB Output is correct
21 Correct 21 ms 5608 KB Output is correct
22 Correct 20 ms 5572 KB Output is correct
23 Correct 20 ms 5556 KB Output is correct
24 Correct 21 ms 5520 KB Output is correct
25 Correct 20 ms 5588 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 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 14 ms 3068 KB Output is correct
31 Correct 23 ms 5600 KB Output is correct
32 Correct 21 ms 5592 KB Output is correct
33 Correct 21 ms 5492 KB Output is correct
34 Correct 21 ms 5540 KB Output is correct
35 Correct 21 ms 5544 KB Output is correct
36 Correct 21 ms 5588 KB Output is correct
37 Correct 21 ms 5588 KB Output is correct
38 Correct 21 ms 5588 KB Output is correct
39 Correct 22 ms 5608 KB Output is correct
40 Correct 21 ms 5576 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 288 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 984 KB Output is correct
49 Correct 8 ms 1748 KB Output is correct
50 Correct 15 ms 3184 KB Output is correct
51 Correct 25 ms 5572 KB Output is correct
52 Correct 25 ms 5576 KB Output is correct
53 Correct 24 ms 5496 KB Output is correct
54 Correct 24 ms 5588 KB Output is correct
55 Correct 24 ms 5552 KB Output is correct
56 Correct 28 ms 5484 KB Output is correct
57 Correct 24 ms 5560 KB Output is correct
58 Correct 28 ms 5588 KB Output is correct
59 Correct 25 ms 5580 KB Output is correct
60 Correct 24 ms 5592 KB Output is correct
61 Correct 24 ms 5588 KB Output is correct
62 Correct 24 ms 5564 KB Output is correct
63 Correct 24 ms 5612 KB Output is correct
64 Correct 25 ms 5496 KB Output is correct
65 Correct 24 ms 5568 KB Output is correct
66 Correct 24 ms 5488 KB Output is correct
67 Correct 24 ms 5520 KB Output is correct
68 Correct 27 ms 5524 KB Output is correct
69 Correct 24 ms 5588 KB Output is correct
70 Correct 24 ms 5488 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 1064 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 980 KB Output is correct
76 Correct 10 ms 1792 KB Output is correct
77 Correct 9 ms 1712 KB Output is correct
78 Correct 9 ms 1748 KB Output is correct
79 Correct 9 ms 1748 KB Output is correct
80 Correct 9 ms 1748 KB Output is correct
81 Correct 23 ms 3196 KB Output is correct
82 Correct 22 ms 3220 KB Output is correct
83 Correct 21 ms 3156 KB Output is correct
84 Correct 21 ms 3156 KB Output is correct
85 Correct 22 ms 3156 KB Output is correct
86 Correct 29 ms 3212 KB Output is correct
87 Correct 24 ms 3168 KB Output is correct
88 Correct 25 ms 3252 KB Output is correct
89 Correct 25 ms 3204 KB Output is correct
90 Correct 27 ms 3192 KB Output is correct
91 Correct 49 ms 5988 KB Output is correct
92 Correct 46 ms 5972 KB Output is correct
93 Correct 45 ms 5964 KB Output is correct
94 Correct 44 ms 5880 KB Output is correct
95 Correct 45 ms 5988 KB Output is correct
96 Correct 42 ms 6296 KB Output is correct
97 Correct 42 ms 6356 KB Output is correct
98 Correct 42 ms 6372 KB Output is correct
99 Correct 43 ms 6324 KB Output is correct
100 Correct 42 ms 6368 KB Output is correct
101 Correct 42 ms 6356 KB Output is correct
102 Correct 42 ms 6304 KB Output is correct
103 Correct 43 ms 6272 KB Output is correct
104 Correct 43 ms 6324 KB Output is correct
105 Correct 42 ms 6344 KB Output is correct
106 Correct 39 ms 6476 KB Output is correct
107 Correct 39 ms 6484 KB Output is correct
108 Correct 40 ms 6476 KB Output is correct
109 Correct 40 ms 6640 KB Output is correct
110 Correct 39 ms 6580 KB Output is correct
111 Correct 39 ms 6564 KB Output is correct
112 Correct 39 ms 6484 KB Output is correct
113 Correct 39 ms 6556 KB Output is correct
114 Correct 40 ms 6484 KB Output is correct
115 Correct 39 ms 6552 KB Output is correct

Subtask #6
0 / 36.0

# 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 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 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 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 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 7 ms 1748 KB Output is correct
15 Correct 16 ms 3180 KB Output is correct
16 Correct 20 ms 5608 KB Output is correct
17 Correct 19 ms 5588 KB Output is correct
18 Correct 22 ms 5516 KB Output is correct
19 Correct 20 ms 5608 KB Output is correct
20 Correct 20 ms 5516 KB Output is correct
21 Correct 21 ms 5608 KB Output is correct
22 Correct 20 ms 5572 KB Output is correct
23 Correct 20 ms 5556 KB Output is correct
24 Correct 21 ms 5520 KB Output is correct
25 Correct 20 ms 5588 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 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 14 ms 3068 KB Output is correct
31 Correct 23 ms 5600 KB Output is correct
32 Correct 21 ms 5592 KB Output is correct
33 Correct 21 ms 5492 KB Output is correct
34 Correct 21 ms 5540 KB Output is correct
35 Correct 21 ms 5544 KB Output is correct
36 Correct 21 ms 5588 KB Output is correct
37 Correct 21 ms 5588 KB Output is correct
38 Correct 21 ms 5588 KB Output is correct
39 Correct 22 ms 5608 KB Output is correct
40 Correct 21 ms 5576 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 288 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 984 KB Output is correct
49 Correct 8 ms 1748 KB Output is correct
50 Correct 15 ms 3184 KB Output is correct
51 Correct 25 ms 5572 KB Output is correct
52 Correct 25 ms 5576 KB Output is correct
53 Correct 24 ms 5496 KB Output is correct
54 Correct 24 ms 5588 KB Output is correct
55 Correct 24 ms 5552 KB Output is correct
56 Correct 28 ms 5484 KB Output is correct
57 Correct 24 ms 5560 KB Output is correct
58 Correct 28 ms 5588 KB Output is correct
59 Correct 25 ms 5580 KB Output is correct
60 Correct 24 ms 5592 KB Output is correct
61 Correct 24 ms 5588 KB Output is correct
62 Correct 24 ms 5564 KB Output is correct
63 Correct 24 ms 5612 KB Output is correct
64 Correct 25 ms 5496 KB Output is correct
65 Correct 24 ms 5568 KB Output is correct
66 Correct 24 ms 5488 KB Output is correct
67 Correct 24 ms 5520 KB Output is correct
68 Correct 27 ms 5524 KB Output is correct
69 Correct 24 ms 5588 KB Output is correct
70 Correct 24 ms 5488 KB Output is correct
71 Correct 4 ms 980 KB Output is correct
72 Correct 4 ms 1064 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 980 KB Output is correct
76 Correct 10 ms 1792 KB Output is correct
77 Correct 9 ms 1712 KB Output is correct
78 Correct 9 ms 1748 KB Output is correct
79 Correct 9 ms 1748 KB Output is correct
80 Correct 9 ms 1748 KB Output is correct
81 Correct 23 ms 3196 KB Output is correct
82 Correct 22 ms 3220 KB Output is correct
83 Correct 21 ms 3156 KB Output is correct
84 Correct 21 ms 3156 KB Output is correct
85 Correct 22 ms 3156 KB Output is correct
86 Correct 29 ms 3212 KB Output is correct
87 Correct 24 ms 3168 KB Output is correct
88 Correct 25 ms 3252 KB Output is correct
89 Correct 25 ms 3204 KB Output is correct
90 Correct 27 ms 3192 KB Output is correct
91 Correct 49 ms 5988 KB Output is correct
92 Correct 46 ms 5972 KB Output is correct
93 Correct 45 ms 5964 KB Output is correct
94 Correct 44 ms 5880 KB Output is correct
95 Correct 45 ms 5988 KB Output is correct
96 Correct 42 ms 6296 KB Output is correct
97 Correct 42 ms 6356 KB Output is correct
98 Correct 42 ms 6372 KB Output is correct
99 Correct 43 ms 6324 KB Output is correct
100 Correct 42 ms 6368 KB Output is correct
101 Correct 42 ms 6356 KB Output is correct
102 Correct 42 ms 6304 KB Output is correct
103 Correct 43 ms 6272 KB Output is correct
104 Correct 43 ms 6324 KB Output is correct
105 Correct 42 ms 6344 KB Output is correct
106 Correct 39 ms 6476 KB Output is correct
107 Correct 39 ms 6484 KB Output is correct
108 Correct 40 ms 6476 KB Output is correct
109 Correct 40 ms 6640 KB Output is correct
110 Correct 39 ms 6580 KB Output is correct
111 Correct 39 ms 6564 KB Output is correct
112 Correct 39 ms 6484 KB Output is correct
113 Correct 39 ms 6556 KB Output is correct
114 Correct 40 ms 6484 KB Output is correct
115 Correct 39 ms 6552 KB Output is correct
116 Correct 112 ms 1864 KB Output is correct
117 Correct 121 ms 1884 KB Output is correct
118 Correct 421 ms 2560 KB Output is correct
119 Correct 427 ms 2548 KB Output is correct
120 Correct 358 ms 2548 KB Output is correct
121 Correct 992 ms 3256 KB Output is correct
122 Correct 1055 ms 3272 KB Output is correct
123 Correct 2786 ms 4800 KB Output is correct
124 Correct 4478 ms 4812 KB Output is correct
125 Correct 5368 ms 4836 KB Output is correct
126 Correct 4311 ms 7124 KB Output is correct
127 Correct 4346 ms 7100 KB Output is correct
128 Correct 4338 ms 7116 KB Output is correct
129 Correct 4315 ms 7092 KB Output is correct
130 Correct 4308 ms 7088 KB Output is correct
131 Correct 4843 ms 7216 KB Output is correct
132 Correct 4816 ms 7224 KB Output is correct
133 Correct 4774 ms 7216 KB Output is correct
134 Correct 4835 ms 7216 KB Output is correct
135 Correct 4829 ms 7216 KB Output is correct
136 Correct 4836 ms 7224 KB Output is correct
137 Correct 4807 ms 7224 KB Output is correct
138 Correct 4858 ms 7216 KB Output is correct
139 Correct 4816 ms 7220 KB Output is correct
140 Correct 4853 ms 7224 KB Output is correct
141 Correct 5890 ms 7244 KB Output is correct
142 Correct 5815 ms 7224 KB Output is correct
143 Correct 5843 ms 7304 KB Output is correct
144 Correct 5829 ms 7228 KB Output is correct
145 Correct 5845 ms 7228 KB Output is correct
146 Execution timed out 7073 ms 6660 KB Time limit exceeded
147 Halted 0 ms 0 KB -