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Submission #799498

# Submission time Handle Problem Language Result Execution time Memory
799498 2023-07-31T15:17:54 Z Johann Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 7332 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 i)
    {
        stack<int> st;
        st.push(i);
        while (!st.empty())
        {
            int x = st.top();
            st.pop();
            if (arr[x] == 0)
                continue;
            if (x < size)
            {
                st.push(2 * x + 1);
                st.push(2 * x);
            }
            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 0 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 1 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 1 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 12 ms 3176 KB Output is correct
6 Correct 20 ms 5528 KB Output is correct
7 Correct 20 ms 5584 KB Output is correct
8 Correct 19 ms 5580 KB Output is correct
9 Correct 19 ms 5532 KB Output is correct
10 Correct 20 ms 5588 KB Output is correct
11 Correct 23 ms 5588 KB Output is correct
12 Correct 20 ms 5552 KB Output is correct
13 Correct 20 ms 5616 KB Output is correct
14 Correct 20 ms 5576 KB Output is correct
15 Correct 20 ms 5604 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 1 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 12 ms 3176 KB Output is correct
6 Correct 20 ms 5528 KB Output is correct
7 Correct 20 ms 5584 KB Output is correct
8 Correct 19 ms 5580 KB Output is correct
9 Correct 19 ms 5532 KB Output is correct
10 Correct 20 ms 5588 KB Output is correct
11 Correct 23 ms 5588 KB Output is correct
12 Correct 20 ms 5552 KB Output is correct
13 Correct 20 ms 5616 KB Output is correct
14 Correct 20 ms 5576 KB Output is correct
15 Correct 20 ms 5604 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 13 ms 3156 KB Output is correct
21 Correct 20 ms 5572 KB Output is correct
22 Correct 21 ms 5568 KB Output is correct
23 Correct 23 ms 5580 KB Output is correct
24 Correct 22 ms 5608 KB Output is correct
25 Correct 21 ms 5608 KB Output is correct
26 Correct 24 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 21 ms 5584 KB Output is correct
30 Correct 20 ms 5544 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 1 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 12 ms 3176 KB Output is correct
6 Correct 20 ms 5528 KB Output is correct
7 Correct 20 ms 5584 KB Output is correct
8 Correct 19 ms 5580 KB Output is correct
9 Correct 19 ms 5532 KB Output is correct
10 Correct 20 ms 5588 KB Output is correct
11 Correct 23 ms 5588 KB Output is correct
12 Correct 20 ms 5552 KB Output is correct
13 Correct 20 ms 5616 KB Output is correct
14 Correct 20 ms 5576 KB Output is correct
15 Correct 20 ms 5604 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 13 ms 3156 KB Output is correct
21 Correct 20 ms 5572 KB Output is correct
22 Correct 21 ms 5568 KB Output is correct
23 Correct 23 ms 5580 KB Output is correct
24 Correct 22 ms 5608 KB Output is correct
25 Correct 21 ms 5608 KB Output is correct
26 Correct 24 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 21 ms 5584 KB Output is correct
30 Correct 20 ms 5544 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 8 ms 1732 KB Output is correct
40 Correct 15 ms 3140 KB Output is correct
41 Correct 24 ms 5564 KB Output is correct
42 Correct 24 ms 5616 KB Output is correct
43 Correct 27 ms 5536 KB Output is correct
44 Correct 24 ms 5608 KB Output is correct
45 Correct 24 ms 5552 KB Output is correct
46 Correct 24 ms 5588 KB Output is correct
47 Correct 25 ms 5588 KB Output is correct
48 Correct 24 ms 5488 KB Output is correct
49 Correct 24 ms 5512 KB Output is correct
50 Correct 24 ms 5576 KB Output is correct
51 Correct 24 ms 5588 KB Output is correct
52 Correct 24 ms 5608 KB Output is correct
53 Correct 25 ms 5500 KB Output is correct
54 Correct 25 ms 5488 KB Output is correct
55 Correct 24 ms 5588 KB Output is correct
56 Correct 24 ms 5592 KB Output is correct
57 Correct 24 ms 5608 KB Output is correct
58 Correct 25 ms 5616 KB Output is correct
59 Correct 24 ms 5588 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 0 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 1 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 1 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 12 ms 3176 KB Output is correct
16 Correct 20 ms 5528 KB Output is correct
17 Correct 20 ms 5584 KB Output is correct
18 Correct 19 ms 5580 KB Output is correct
19 Correct 19 ms 5532 KB Output is correct
20 Correct 20 ms 5588 KB Output is correct
21 Correct 23 ms 5588 KB Output is correct
22 Correct 20 ms 5552 KB Output is correct
23 Correct 20 ms 5616 KB Output is correct
24 Correct 20 ms 5576 KB Output is correct
25 Correct 20 ms 5604 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 13 ms 3156 KB Output is correct
31 Correct 20 ms 5572 KB Output is correct
32 Correct 21 ms 5568 KB Output is correct
33 Correct 23 ms 5580 KB Output is correct
34 Correct 22 ms 5608 KB Output is correct
35 Correct 21 ms 5608 KB Output is correct
36 Correct 24 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 21 ms 5584 KB Output is correct
40 Correct 20 ms 5544 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 8 ms 1732 KB Output is correct
50 Correct 15 ms 3140 KB Output is correct
51 Correct 24 ms 5564 KB Output is correct
52 Correct 24 ms 5616 KB Output is correct
53 Correct 27 ms 5536 KB Output is correct
54 Correct 24 ms 5608 KB Output is correct
55 Correct 24 ms 5552 KB Output is correct
56 Correct 24 ms 5588 KB Output is correct
57 Correct 25 ms 5588 KB Output is correct
58 Correct 24 ms 5488 KB Output is correct
59 Correct 24 ms 5512 KB Output is correct
60 Correct 24 ms 5576 KB Output is correct
61 Correct 24 ms 5588 KB Output is correct
62 Correct 24 ms 5608 KB Output is correct
63 Correct 25 ms 5500 KB Output is correct
64 Correct 25 ms 5488 KB Output is correct
65 Correct 24 ms 5588 KB Output is correct
66 Correct 24 ms 5592 KB Output is correct
67 Correct 24 ms 5608 KB Output is correct
68 Correct 25 ms 5616 KB Output is correct
69 Correct 24 ms 5588 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 1032 KB Output is correct
75 Correct 4 ms 980 KB Output is correct
76 Correct 11 ms 1736 KB Output is correct
77 Correct 9 ms 1748 KB Output is correct
78 Correct 9 ms 1748 KB Output is correct
79 Correct 9 ms 1660 KB Output is correct
80 Correct 9 ms 1772 KB Output is correct
81 Correct 21 ms 3156 KB Output is correct
82 Correct 22 ms 3192 KB Output is correct
83 Correct 24 ms 3220 KB Output is correct
84 Correct 21 ms 3156 KB Output is correct
85 Correct 22 ms 3220 KB Output is correct
86 Correct 25 ms 3248 KB Output is correct
87 Correct 24 ms 3148 KB Output is correct
88 Correct 24 ms 3148 KB Output is correct
89 Correct 24 ms 3156 KB Output is correct
90 Correct 25 ms 3156 KB Output is correct
91 Correct 44 ms 5972 KB Output is correct
92 Correct 45 ms 5960 KB Output is correct
93 Correct 44 ms 5948 KB Output is correct
94 Correct 44 ms 5912 KB Output is correct
95 Correct 44 ms 5972 KB Output is correct
96 Correct 42 ms 6284 KB Output is correct
97 Correct 42 ms 6484 KB Output is correct
98 Correct 42 ms 6264 KB Output is correct
99 Correct 41 ms 6368 KB Output is correct
100 Correct 42 ms 6360 KB Output is correct
101 Correct 42 ms 6356 KB Output is correct
102 Correct 42 ms 6368 KB Output is correct
103 Correct 42 ms 6336 KB Output is correct
104 Correct 42 ms 6344 KB Output is correct
105 Correct 42 ms 6356 KB Output is correct
106 Correct 40 ms 6496 KB Output is correct
107 Correct 39 ms 6564 KB Output is correct
108 Correct 39 ms 6484 KB Output is correct
109 Correct 39 ms 6564 KB Output is correct
110 Correct 39 ms 6484 KB Output is correct
111 Correct 40 ms 6528 KB Output is correct
112 Correct 39 ms 6560 KB Output is correct
113 Correct 40 ms 6456 KB Output is correct
114 Correct 40 ms 6556 KB Output is correct
115 Correct 42 ms 6688 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 0 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 1 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 1 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 12 ms 3176 KB Output is correct
16 Correct 20 ms 5528 KB Output is correct
17 Correct 20 ms 5584 KB Output is correct
18 Correct 19 ms 5580 KB Output is correct
19 Correct 19 ms 5532 KB Output is correct
20 Correct 20 ms 5588 KB Output is correct
21 Correct 23 ms 5588 KB Output is correct
22 Correct 20 ms 5552 KB Output is correct
23 Correct 20 ms 5616 KB Output is correct
24 Correct 20 ms 5576 KB Output is correct
25 Correct 20 ms 5604 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 13 ms 3156 KB Output is correct
31 Correct 20 ms 5572 KB Output is correct
32 Correct 21 ms 5568 KB Output is correct
33 Correct 23 ms 5580 KB Output is correct
34 Correct 22 ms 5608 KB Output is correct
35 Correct 21 ms 5608 KB Output is correct
36 Correct 24 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 21 ms 5584 KB Output is correct
40 Correct 20 ms 5544 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 8 ms 1732 KB Output is correct
50 Correct 15 ms 3140 KB Output is correct
51 Correct 24 ms 5564 KB Output is correct
52 Correct 24 ms 5616 KB Output is correct
53 Correct 27 ms 5536 KB Output is correct
54 Correct 24 ms 5608 KB Output is correct
55 Correct 24 ms 5552 KB Output is correct
56 Correct 24 ms 5588 KB Output is correct
57 Correct 25 ms 5588 KB Output is correct
58 Correct 24 ms 5488 KB Output is correct
59 Correct 24 ms 5512 KB Output is correct
60 Correct 24 ms 5576 KB Output is correct
61 Correct 24 ms 5588 KB Output is correct
62 Correct 24 ms 5608 KB Output is correct
63 Correct 25 ms 5500 KB Output is correct
64 Correct 25 ms 5488 KB Output is correct
65 Correct 24 ms 5588 KB Output is correct
66 Correct 24 ms 5592 KB Output is correct
67 Correct 24 ms 5608 KB Output is correct
68 Correct 25 ms 5616 KB Output is correct
69 Correct 24 ms 5588 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 1032 KB Output is correct
75 Correct 4 ms 980 KB Output is correct
76 Correct 11 ms 1736 KB Output is correct
77 Correct 9 ms 1748 KB Output is correct
78 Correct 9 ms 1748 KB Output is correct
79 Correct 9 ms 1660 KB Output is correct
80 Correct 9 ms 1772 KB Output is correct
81 Correct 21 ms 3156 KB Output is correct
82 Correct 22 ms 3192 KB Output is correct
83 Correct 24 ms 3220 KB Output is correct
84 Correct 21 ms 3156 KB Output is correct
85 Correct 22 ms 3220 KB Output is correct
86 Correct 25 ms 3248 KB Output is correct
87 Correct 24 ms 3148 KB Output is correct
88 Correct 24 ms 3148 KB Output is correct
89 Correct 24 ms 3156 KB Output is correct
90 Correct 25 ms 3156 KB Output is correct
91 Correct 44 ms 5972 KB Output is correct
92 Correct 45 ms 5960 KB Output is correct
93 Correct 44 ms 5948 KB Output is correct
94 Correct 44 ms 5912 KB Output is correct
95 Correct 44 ms 5972 KB Output is correct
96 Correct 42 ms 6284 KB Output is correct
97 Correct 42 ms 6484 KB Output is correct
98 Correct 42 ms 6264 KB Output is correct
99 Correct 41 ms 6368 KB Output is correct
100 Correct 42 ms 6360 KB Output is correct
101 Correct 42 ms 6356 KB Output is correct
102 Correct 42 ms 6368 KB Output is correct
103 Correct 42 ms 6336 KB Output is correct
104 Correct 42 ms 6344 KB Output is correct
105 Correct 42 ms 6356 KB Output is correct
106 Correct 40 ms 6496 KB Output is correct
107 Correct 39 ms 6564 KB Output is correct
108 Correct 39 ms 6484 KB Output is correct
109 Correct 39 ms 6564 KB Output is correct
110 Correct 39 ms 6484 KB Output is correct
111 Correct 40 ms 6528 KB Output is correct
112 Correct 39 ms 6560 KB Output is correct
113 Correct 40 ms 6456 KB Output is correct
114 Correct 40 ms 6556 KB Output is correct
115 Correct 42 ms 6688 KB Output is correct
116 Correct 137 ms 1864 KB Output is correct
117 Correct 141 ms 1876 KB Output is correct
118 Correct 439 ms 2532 KB Output is correct
119 Correct 432 ms 2548 KB Output is correct
120 Correct 390 ms 2540 KB Output is correct
121 Correct 1029 ms 3280 KB Output is correct
122 Correct 1078 ms 3260 KB Output is correct
123 Correct 2879 ms 4684 KB Output is correct
124 Correct 4518 ms 4816 KB Output is correct
125 Correct 5358 ms 4836 KB Output is correct
126 Correct 4501 ms 7168 KB Output is correct
127 Correct 4480 ms 7100 KB Output is correct
128 Correct 4483 ms 7096 KB Output is correct
129 Correct 4493 ms 7092 KB Output is correct
130 Correct 4481 ms 7160 KB Output is correct
131 Correct 4973 ms 7228 KB Output is correct
132 Correct 4989 ms 7224 KB Output is correct
133 Correct 4930 ms 7224 KB Output is correct
134 Correct 5013 ms 7220 KB Output is correct
135 Correct 5028 ms 7220 KB Output is correct
136 Correct 5027 ms 7220 KB Output is correct
137 Correct 4995 ms 7224 KB Output is correct
138 Correct 4974 ms 7172 KB Output is correct
139 Correct 4992 ms 7220 KB Output is correct
140 Correct 5040 ms 7216 KB Output is correct
141 Correct 6007 ms 7228 KB Output is correct
142 Correct 5949 ms 7224 KB Output is correct
143 Correct 6058 ms 7212 KB Output is correct
144 Correct 6014 ms 7332 KB Output is correct
145 Correct 6066 ms 7224 KB Output is correct
146 Execution timed out 7077 ms 6596 KB Time limit exceeded
147 Halted 0 ms 0 KB -