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답안 #799681

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
799681 2023-07-31T20:02:52 Z Johann Diversity (CEOI21_diversity) C++14
64 / 100
 7000 ms 9120 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 += x * x * (totalLengthOfSubsequences(y) - y) + y * numberOfSubsequences(x);
    // if one is inside the other isn't
    tmp += (n - len) * (x * y * (y + 1) / 2);
    // if both are outside
    tmp += 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 = 0;

        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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 1888 KB Output is correct
5 Correct 13 ms 3536 KB Output is correct
6 Correct 21 ms 6200 KB Output is correct
7 Correct 19 ms 6148 KB Output is correct
8 Correct 20 ms 6136 KB Output is correct
9 Correct 20 ms 6220 KB Output is correct
10 Correct 20 ms 6164 KB Output is correct
11 Correct 20 ms 6256 KB Output is correct
12 Correct 20 ms 6176 KB Output is correct
13 Correct 20 ms 6252 KB Output is correct
14 Correct 20 ms 6172 KB Output is correct
15 Correct 20 ms 6208 KB Output is correct

Subtask #3
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 1888 KB Output is correct
5 Correct 13 ms 3536 KB Output is correct
6 Correct 21 ms 6200 KB Output is correct
7 Correct 19 ms 6148 KB Output is correct
8 Correct 20 ms 6136 KB Output is correct
9 Correct 20 ms 6220 KB Output is correct
10 Correct 20 ms 6164 KB Output is correct
11 Correct 20 ms 6256 KB Output is correct
12 Correct 20 ms 6176 KB Output is correct
13 Correct 20 ms 6252 KB Output is correct
14 Correct 20 ms 6172 KB Output is correct
15 Correct 20 ms 6208 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 2036 KB Output is correct
20 Correct 14 ms 3644 KB Output is correct
21 Correct 28 ms 6476 KB Output is correct
22 Correct 21 ms 6392 KB Output is correct
23 Correct 21 ms 6316 KB Output is correct
24 Correct 24 ms 6296 KB Output is correct
25 Correct 21 ms 6364 KB Output is correct
26 Correct 21 ms 6348 KB Output is correct
27 Correct 21 ms 6356 KB Output is correct
28 Correct 23 ms 6228 KB Output is correct
29 Correct 26 ms 6240 KB Output is correct
30 Correct 21 ms 6332 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 1888 KB Output is correct
5 Correct 13 ms 3536 KB Output is correct
6 Correct 21 ms 6200 KB Output is correct
7 Correct 19 ms 6148 KB Output is correct
8 Correct 20 ms 6136 KB Output is correct
9 Correct 20 ms 6220 KB Output is correct
10 Correct 20 ms 6164 KB Output is correct
11 Correct 20 ms 6256 KB Output is correct
12 Correct 20 ms 6176 KB Output is correct
13 Correct 20 ms 6252 KB Output is correct
14 Correct 20 ms 6172 KB Output is correct
15 Correct 20 ms 6208 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 2036 KB Output is correct
20 Correct 14 ms 3644 KB Output is correct
21 Correct 28 ms 6476 KB Output is correct
22 Correct 21 ms 6392 KB Output is correct
23 Correct 21 ms 6316 KB Output is correct
24 Correct 24 ms 6296 KB Output is correct
25 Correct 21 ms 6364 KB Output is correct
26 Correct 21 ms 6348 KB Output is correct
27 Correct 21 ms 6356 KB Output is correct
28 Correct 23 ms 6228 KB Output is correct
29 Correct 26 ms 6240 KB Output is correct
30 Correct 21 ms 6332 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 6 ms 1240 KB Output is correct
38 Correct 4 ms 1236 KB Output is correct
39 Correct 8 ms 2152 KB Output is correct
40 Correct 16 ms 3912 KB Output is correct
41 Correct 29 ms 6736 KB Output is correct
42 Correct 25 ms 6640 KB Output is correct
43 Correct 25 ms 6740 KB Output is correct
44 Correct 25 ms 6660 KB Output is correct
45 Correct 25 ms 6624 KB Output is correct
46 Correct 25 ms 6720 KB Output is correct
47 Correct 24 ms 6700 KB Output is correct
48 Correct 30 ms 6740 KB Output is correct
49 Correct 25 ms 6632 KB Output is correct
50 Correct 25 ms 6716 KB Output is correct
51 Correct 25 ms 6760 KB Output is correct
52 Correct 25 ms 6740 KB Output is correct
53 Correct 25 ms 6732 KB Output is correct
54 Correct 25 ms 6740 KB Output is correct
55 Correct 24 ms 6648 KB Output is correct
56 Correct 25 ms 6676 KB Output is correct
57 Correct 24 ms 6740 KB Output is correct
58 Correct 25 ms 6740 KB Output is correct
59 Correct 30 ms 6768 KB Output is correct
60 Correct 24 ms 6732 KB Output is correct

Subtask #5
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 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 1 ms 340 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 6 ms 1888 KB Output is correct
15 Correct 13 ms 3536 KB Output is correct
16 Correct 21 ms 6200 KB Output is correct
17 Correct 19 ms 6148 KB Output is correct
18 Correct 20 ms 6136 KB Output is correct
19 Correct 20 ms 6220 KB Output is correct
20 Correct 20 ms 6164 KB Output is correct
21 Correct 20 ms 6256 KB Output is correct
22 Correct 20 ms 6176 KB Output is correct
23 Correct 20 ms 6252 KB Output is correct
24 Correct 20 ms 6172 KB Output is correct
25 Correct 20 ms 6208 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 2036 KB Output is correct
30 Correct 14 ms 3644 KB Output is correct
31 Correct 28 ms 6476 KB Output is correct
32 Correct 21 ms 6392 KB Output is correct
33 Correct 21 ms 6316 KB Output is correct
34 Correct 24 ms 6296 KB Output is correct
35 Correct 21 ms 6364 KB Output is correct
36 Correct 21 ms 6348 KB Output is correct
37 Correct 21 ms 6356 KB Output is correct
38 Correct 23 ms 6228 KB Output is correct
39 Correct 26 ms 6240 KB Output is correct
40 Correct 21 ms 6332 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 464 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 6 ms 1240 KB Output is correct
48 Correct 4 ms 1236 KB Output is correct
49 Correct 8 ms 2152 KB Output is correct
50 Correct 16 ms 3912 KB Output is correct
51 Correct 29 ms 6736 KB Output is correct
52 Correct 25 ms 6640 KB Output is correct
53 Correct 25 ms 6740 KB Output is correct
54 Correct 25 ms 6660 KB Output is correct
55 Correct 25 ms 6624 KB Output is correct
56 Correct 25 ms 6720 KB Output is correct
57 Correct 24 ms 6700 KB Output is correct
58 Correct 30 ms 6740 KB Output is correct
59 Correct 25 ms 6632 KB Output is correct
60 Correct 25 ms 6716 KB Output is correct
61 Correct 25 ms 6760 KB Output is correct
62 Correct 25 ms 6740 KB Output is correct
63 Correct 25 ms 6732 KB Output is correct
64 Correct 25 ms 6740 KB Output is correct
65 Correct 24 ms 6648 KB Output is correct
66 Correct 25 ms 6676 KB Output is correct
67 Correct 24 ms 6740 KB Output is correct
68 Correct 25 ms 6740 KB Output is correct
69 Correct 30 ms 6768 KB Output is correct
70 Correct 24 ms 6732 KB Output is correct
71 Correct 4 ms 1236 KB Output is correct
72 Correct 4 ms 1236 KB Output is correct
73 Correct 4 ms 1224 KB Output is correct
74 Correct 4 ms 1236 KB Output is correct
75 Correct 4 ms 1236 KB Output is correct
76 Correct 9 ms 2260 KB Output is correct
77 Correct 9 ms 2196 KB Output is correct
78 Correct 9 ms 2124 KB Output is correct
79 Correct 9 ms 2200 KB Output is correct
80 Correct 9 ms 2132 KB Output is correct
81 Correct 22 ms 4180 KB Output is correct
82 Correct 22 ms 4152 KB Output is correct
83 Correct 21 ms 4084 KB Output is correct
84 Correct 22 ms 4116 KB Output is correct
85 Correct 22 ms 4084 KB Output is correct
86 Correct 25 ms 4240 KB Output is correct
87 Correct 29 ms 4188 KB Output is correct
88 Correct 25 ms 4300 KB Output is correct
89 Correct 25 ms 4308 KB Output is correct
90 Correct 25 ms 4308 KB Output is correct
91 Correct 44 ms 7688 KB Output is correct
92 Correct 50 ms 7636 KB Output is correct
93 Correct 45 ms 7784 KB Output is correct
94 Correct 49 ms 7712 KB Output is correct
95 Correct 46 ms 7680 KB Output is correct
96 Correct 43 ms 8260 KB Output is correct
97 Correct 43 ms 8172 KB Output is correct
98 Correct 42 ms 8184 KB Output is correct
99 Correct 43 ms 8196 KB Output is correct
100 Correct 43 ms 8252 KB Output is correct
101 Correct 43 ms 8268 KB Output is correct
102 Correct 43 ms 8232 KB Output is correct
103 Correct 43 ms 8256 KB Output is correct
104 Correct 43 ms 8192 KB Output is correct
105 Correct 43 ms 8204 KB Output is correct
106 Correct 41 ms 8436 KB Output is correct
107 Correct 40 ms 8392 KB Output is correct
108 Correct 39 ms 8440 KB Output is correct
109 Correct 39 ms 8392 KB Output is correct
110 Correct 40 ms 8484 KB Output is correct
111 Correct 40 ms 8492 KB Output is correct
112 Correct 40 ms 8396 KB Output is correct
113 Correct 40 ms 8440 KB Output is correct
114 Correct 44 ms 8436 KB Output is correct
115 Correct 39 ms 8416 KB Output is correct

Subtask #6
0 / 36.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 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 1 ms 340 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 6 ms 1888 KB Output is correct
15 Correct 13 ms 3536 KB Output is correct
16 Correct 21 ms 6200 KB Output is correct
17 Correct 19 ms 6148 KB Output is correct
18 Correct 20 ms 6136 KB Output is correct
19 Correct 20 ms 6220 KB Output is correct
20 Correct 20 ms 6164 KB Output is correct
21 Correct 20 ms 6256 KB Output is correct
22 Correct 20 ms 6176 KB Output is correct
23 Correct 20 ms 6252 KB Output is correct
24 Correct 20 ms 6172 KB Output is correct
25 Correct 20 ms 6208 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 2036 KB Output is correct
30 Correct 14 ms 3644 KB Output is correct
31 Correct 28 ms 6476 KB Output is correct
32 Correct 21 ms 6392 KB Output is correct
33 Correct 21 ms 6316 KB Output is correct
34 Correct 24 ms 6296 KB Output is correct
35 Correct 21 ms 6364 KB Output is correct
36 Correct 21 ms 6348 KB Output is correct
37 Correct 21 ms 6356 KB Output is correct
38 Correct 23 ms 6228 KB Output is correct
39 Correct 26 ms 6240 KB Output is correct
40 Correct 21 ms 6332 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 464 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 6 ms 1240 KB Output is correct
48 Correct 4 ms 1236 KB Output is correct
49 Correct 8 ms 2152 KB Output is correct
50 Correct 16 ms 3912 KB Output is correct
51 Correct 29 ms 6736 KB Output is correct
52 Correct 25 ms 6640 KB Output is correct
53 Correct 25 ms 6740 KB Output is correct
54 Correct 25 ms 6660 KB Output is correct
55 Correct 25 ms 6624 KB Output is correct
56 Correct 25 ms 6720 KB Output is correct
57 Correct 24 ms 6700 KB Output is correct
58 Correct 30 ms 6740 KB Output is correct
59 Correct 25 ms 6632 KB Output is correct
60 Correct 25 ms 6716 KB Output is correct
61 Correct 25 ms 6760 KB Output is correct
62 Correct 25 ms 6740 KB Output is correct
63 Correct 25 ms 6732 KB Output is correct
64 Correct 25 ms 6740 KB Output is correct
65 Correct 24 ms 6648 KB Output is correct
66 Correct 25 ms 6676 KB Output is correct
67 Correct 24 ms 6740 KB Output is correct
68 Correct 25 ms 6740 KB Output is correct
69 Correct 30 ms 6768 KB Output is correct
70 Correct 24 ms 6732 KB Output is correct
71 Correct 4 ms 1236 KB Output is correct
72 Correct 4 ms 1236 KB Output is correct
73 Correct 4 ms 1224 KB Output is correct
74 Correct 4 ms 1236 KB Output is correct
75 Correct 4 ms 1236 KB Output is correct
76 Correct 9 ms 2260 KB Output is correct
77 Correct 9 ms 2196 KB Output is correct
78 Correct 9 ms 2124 KB Output is correct
79 Correct 9 ms 2200 KB Output is correct
80 Correct 9 ms 2132 KB Output is correct
81 Correct 22 ms 4180 KB Output is correct
82 Correct 22 ms 4152 KB Output is correct
83 Correct 21 ms 4084 KB Output is correct
84 Correct 22 ms 4116 KB Output is correct
85 Correct 22 ms 4084 KB Output is correct
86 Correct 25 ms 4240 KB Output is correct
87 Correct 29 ms 4188 KB Output is correct
88 Correct 25 ms 4300 KB Output is correct
89 Correct 25 ms 4308 KB Output is correct
90 Correct 25 ms 4308 KB Output is correct
91 Correct 44 ms 7688 KB Output is correct
92 Correct 50 ms 7636 KB Output is correct
93 Correct 45 ms 7784 KB Output is correct
94 Correct 49 ms 7712 KB Output is correct
95 Correct 46 ms 7680 KB Output is correct
96 Correct 43 ms 8260 KB Output is correct
97 Correct 43 ms 8172 KB Output is correct
98 Correct 42 ms 8184 KB Output is correct
99 Correct 43 ms 8196 KB Output is correct
100 Correct 43 ms 8252 KB Output is correct
101 Correct 43 ms 8268 KB Output is correct
102 Correct 43 ms 8232 KB Output is correct
103 Correct 43 ms 8256 KB Output is correct
104 Correct 43 ms 8192 KB Output is correct
105 Correct 43 ms 8204 KB Output is correct
106 Correct 41 ms 8436 KB Output is correct
107 Correct 40 ms 8392 KB Output is correct
108 Correct 39 ms 8440 KB Output is correct
109 Correct 39 ms 8392 KB Output is correct
110 Correct 40 ms 8484 KB Output is correct
111 Correct 40 ms 8492 KB Output is correct
112 Correct 40 ms 8396 KB Output is correct
113 Correct 40 ms 8440 KB Output is correct
114 Correct 44 ms 8436 KB Output is correct
115 Correct 39 ms 8416 KB Output is correct
116 Correct 116 ms 2376 KB Output is correct
117 Correct 125 ms 2364 KB Output is correct
118 Correct 380 ms 3244 KB Output is correct
119 Correct 385 ms 3268 KB Output is correct
120 Correct 346 ms 3276 KB Output is correct
121 Correct 947 ms 4336 KB Output is correct
122 Correct 1082 ms 4268 KB Output is correct
123 Correct 2761 ms 6188 KB Output is correct
124 Correct 4495 ms 6384 KB Output is correct
125 Correct 5343 ms 6420 KB Output is correct
126 Correct 4279 ms 8820 KB Output is correct
127 Correct 4273 ms 8820 KB Output is correct
128 Correct 4286 ms 8908 KB Output is correct
129 Correct 4315 ms 8820 KB Output is correct
130 Correct 4329 ms 8812 KB Output is correct
131 Correct 4750 ms 8980 KB Output is correct
132 Correct 4772 ms 9120 KB Output is correct
133 Correct 4742 ms 9020 KB Output is correct
134 Correct 4792 ms 8968 KB Output is correct
135 Correct 4802 ms 8988 KB Output is correct
136 Correct 4849 ms 8980 KB Output is correct
137 Correct 4793 ms 8992 KB Output is correct
138 Correct 4821 ms 8968 KB Output is correct
139 Correct 4801 ms 8972 KB Output is correct
140 Correct 4827 ms 8988 KB Output is correct
141 Correct 5823 ms 9036 KB Output is correct
142 Correct 5783 ms 9016 KB Output is correct
143 Correct 5834 ms 9012 KB Output is correct
144 Correct 5784 ms 9012 KB Output is correct
145 Correct 5801 ms 9020 KB Output is correct
146 Execution timed out 7058 ms 8524 KB Time limit exceeded
147 Halted 0 ms 0 KB -