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Submission #697529

# Submission time Handle Problem Language Result Execution time Memory
697529 2023-02-10T09:20:38 Z piOOE Diversity (CEOI21_diversity) C++17
64 / 100
 7000 ms 14696 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

struct SmartFenwick {
    vector<ll> k, b;
    int n{};

    void init(int x) {
        n = x;
        k.resize(x + 1), b.resize(x + 1);
    }

    void addk(int i, ll v) {
        for (int x = i + 1; x <= n; x += x & -x) {
            k[x] += v;
        }
    }

    void addb(int i, ll v) {
        for (int x = i + 1; x <= n; x += x & -x) {
            b[x] += v;
        }
    }

    void rangeAdd(int l, int r, ll v) {
        addk(l, v);
        addk(r, -v);
        addb(l, (l - 1) * -v);
        addb(r, (r - 1) * v);
    }

    ll sum(int i) {
        ll K = 0, B = 0;

        for (int x = i + 1; x > 0; x -= x & -x) {
            K += k[x], B += b[x];
        }

        return B + K * i;
    }

    ll rangeSum(int l, int r) {
        return sum(r - 1) - sum(l - 1);
    }
} t[2][2]; // (left/right), (L/R)

struct Query {
    int l, r, block, idx;

    bool operator<(Query oth) const {
        if (oth.block != block) {
            return block < oth.block;
        }

        return (block & 1) ? r > oth.r : r < oth.r;
    }
};

constexpr int B = 300;

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

    int n, q;
    cin >> n >> q;

    vector<int> a(n);

    for (int i = 0; i < n; ++i) {
        cin >> a[i];
    }

    vector<int> yy = a;
    sort(yy.begin(), yy.end());
    yy.resize(unique(yy.begin(), yy.end()) - yy.begin());

    for (int &x: a) {
        x = lower_bound(yy.begin(), yy.end(), x) - yy.begin();
    }

    const int m = yy.size();

    vector<Query> queries(q);
    vector<ll> answer(q);

    for (int i = 0; i < q; ++i) {
        int l, r;
        cin >> l >> r;
        l -= 1;

        queries[i].l = l, queries[i].r = r, queries[i].block = l / B, queries[i].idx = i;
    }

    sort(queries.begin(), queries.end());

    vector<int> head(n + 1);

    for (int i = 1; i <= n; ++i) {
        head[i] = m;
    }


    vector<int> pos(m), cnt(m), ord(m);
    iota(pos.begin(), pos.end(), 0);
    ord = pos;

    int siz[2]{(m + 1) / 2, m / 2};

    t[0][0].init(siz[0]);
    t[0][1].init(siz[0]);
    t[1][0].init(siz[1]);
    t[1][1].init(siz[1]);

    ll ans = 0;

    int len = 0;

    auto eval = [&](int i) {
        return 1LL * cnt[i] * (len - cnt[i]) + 1LL * (cnt[i] + 1) * cnt[i] / 2;
    };

    auto increase = [&](int i) {
        ans += len;

        len += 1;

        ans -= eval(i);

        int p = pos[i];
        int tail = head[cnt[i] + 1] - 1;

        if (p != tail) {
            int id = ord[tail];
            pos[id] = p;
            ord[p] = id;
            pos[i] = tail;
            ord[tail] = i;
            p = tail;
        }

        int side = p % 2;
        int s = p / 2;

        ans += t[side][side ^ 1].rangeSum(s + 1, siz[side]);
        t[side][side].rangeAdd(s + 1, siz[side], 1);

        t[side][side ^ 1].rangeAdd(0, s, 1);
        ans += t[side][side].rangeSum(0, s);

        ans += t[side ^ 1][side ^ 1].rangeSum(0, siz[side ^ 1]);
        t[side ^ 1][side].rangeAdd(0, siz[side ^ 1], 1);

        cnt[i] += 1;
        head[cnt[i]] = p;

        ans += eval(i);
    };

    auto decrease = [&](int i) {
        ans -= len;

        len -= 1;

        ans -= eval(i);

        int p = pos[i];
        int start = head[cnt[i]];

        if (p != start) {
            int id = ord[start];
            pos[id] = p;
            ord[p] = id;
            pos[i] = start;
            ord[start] = i;
            p = start;
        }

        int side = p % 2;
        int s = p / 2;

        ans -= t[side][side ^ 1].rangeSum(s + 1, siz[side]);
        t[side][side].rangeAdd(s + 1, siz[side], -1);

        t[side][side ^ 1].rangeAdd(0, s, -1);
        ans -= t[side][side].rangeSum(0, s);

        ans -= t[side ^ 1][side ^ 1].rangeSum(0, siz[side ^ 1]);
        t[side ^ 1][side].rangeAdd(0, siz[side ^ 1], -1);

        head[cnt[i]] = p + 1;
        cnt[i] -= 1;

        ans += eval(i);
    };

    int lx = 0, rx = 0;

    for (auto [l, r, bl, i] : queries) {
        while (rx < r) {
            increase(a[rx++]);
        }

        while (lx > l) {
            increase(a[--lx]);
        }

        while (lx < l) {
            decrease(a[lx++]);
        }

        while (rx > r) {
            decrease(a[--rx]);
        }

        answer[i] = ans;
    }

    for (int i = 0; i < q; ++i) {
        cout << answer[i] << '\n';
    }

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 16 ms 1492 KB Output is correct
5 Correct 28 ms 2656 KB Output is correct
6 Correct 52 ms 3828 KB Output is correct
7 Correct 40 ms 3828 KB Output is correct
8 Correct 45 ms 3832 KB Output is correct
9 Correct 44 ms 3824 KB Output is correct
10 Correct 45 ms 3796 KB Output is correct
11 Correct 44 ms 3816 KB Output is correct
12 Correct 48 ms 3788 KB Output is correct
13 Correct 50 ms 3828 KB Output is correct
14 Correct 43 ms 3788 KB Output is correct
15 Correct 49 ms 3820 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 16 ms 1492 KB Output is correct
5 Correct 28 ms 2656 KB Output is correct
6 Correct 52 ms 3828 KB Output is correct
7 Correct 40 ms 3828 KB Output is correct
8 Correct 45 ms 3832 KB Output is correct
9 Correct 44 ms 3824 KB Output is correct
10 Correct 45 ms 3796 KB Output is correct
11 Correct 44 ms 3816 KB Output is correct
12 Correct 48 ms 3788 KB Output is correct
13 Correct 50 ms 3828 KB Output is correct
14 Correct 43 ms 3788 KB Output is correct
15 Correct 49 ms 3820 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 17 ms 1492 KB Output is correct
20 Correct 34 ms 2672 KB Output is correct
21 Correct 51 ms 3796 KB Output is correct
22 Correct 51 ms 3832 KB Output is correct
23 Correct 53 ms 3824 KB Output is correct
24 Correct 51 ms 3796 KB Output is correct
25 Correct 55 ms 3832 KB Output is correct
26 Correct 56 ms 3832 KB Output is correct
27 Correct 54 ms 3788 KB Output is correct
28 Correct 50 ms 3836 KB Output is correct
29 Correct 55 ms 3808 KB Output is correct
30 Correct 51 ms 3820 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 16 ms 1492 KB Output is correct
5 Correct 28 ms 2656 KB Output is correct
6 Correct 52 ms 3828 KB Output is correct
7 Correct 40 ms 3828 KB Output is correct
8 Correct 45 ms 3832 KB Output is correct
9 Correct 44 ms 3824 KB Output is correct
10 Correct 45 ms 3796 KB Output is correct
11 Correct 44 ms 3816 KB Output is correct
12 Correct 48 ms 3788 KB Output is correct
13 Correct 50 ms 3828 KB Output is correct
14 Correct 43 ms 3788 KB Output is correct
15 Correct 49 ms 3820 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 17 ms 1492 KB Output is correct
20 Correct 34 ms 2672 KB Output is correct
21 Correct 51 ms 3796 KB Output is correct
22 Correct 51 ms 3832 KB Output is correct
23 Correct 53 ms 3824 KB Output is correct
24 Correct 51 ms 3796 KB Output is correct
25 Correct 55 ms 3832 KB Output is correct
26 Correct 56 ms 3832 KB Output is correct
27 Correct 54 ms 3788 KB Output is correct
28 Correct 50 ms 3836 KB Output is correct
29 Correct 55 ms 3808 KB Output is correct
30 Correct 51 ms 3820 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 4 ms 436 KB Output is correct
35 Correct 3 ms 340 KB Output is correct
36 Correct 3 ms 480 KB Output is correct
37 Correct 13 ms 852 KB Output is correct
38 Correct 14 ms 852 KB Output is correct
39 Correct 28 ms 1492 KB Output is correct
40 Correct 56 ms 2648 KB Output is correct
41 Correct 85 ms 3792 KB Output is correct
42 Correct 84 ms 3788 KB Output is correct
43 Correct 83 ms 3880 KB Output is correct
44 Correct 82 ms 3824 KB Output is correct
45 Correct 84 ms 3884 KB Output is correct
46 Correct 82 ms 3788 KB Output is correct
47 Correct 83 ms 3788 KB Output is correct
48 Correct 91 ms 3796 KB Output is correct
49 Correct 82 ms 3824 KB Output is correct
50 Correct 85 ms 3804 KB Output is correct
51 Correct 81 ms 3880 KB Output is correct
52 Correct 87 ms 3884 KB Output is correct
53 Correct 81 ms 3880 KB Output is correct
54 Correct 84 ms 3888 KB Output is correct
55 Correct 82 ms 3880 KB Output is correct
56 Correct 83 ms 3788 KB Output is correct
57 Correct 86 ms 4056 KB Output is correct
58 Correct 84 ms 3824 KB Output is correct
59 Correct 81 ms 3788 KB Output is correct
60 Correct 82 ms 3884 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 16 ms 1492 KB Output is correct
15 Correct 28 ms 2656 KB Output is correct
16 Correct 52 ms 3828 KB Output is correct
17 Correct 40 ms 3828 KB Output is correct
18 Correct 45 ms 3832 KB Output is correct
19 Correct 44 ms 3824 KB Output is correct
20 Correct 45 ms 3796 KB Output is correct
21 Correct 44 ms 3816 KB Output is correct
22 Correct 48 ms 3788 KB Output is correct
23 Correct 50 ms 3828 KB Output is correct
24 Correct 43 ms 3788 KB Output is correct
25 Correct 49 ms 3820 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 17 ms 1492 KB Output is correct
30 Correct 34 ms 2672 KB Output is correct
31 Correct 51 ms 3796 KB Output is correct
32 Correct 51 ms 3832 KB Output is correct
33 Correct 53 ms 3824 KB Output is correct
34 Correct 51 ms 3796 KB Output is correct
35 Correct 55 ms 3832 KB Output is correct
36 Correct 56 ms 3832 KB Output is correct
37 Correct 54 ms 3788 KB Output is correct
38 Correct 50 ms 3836 KB Output is correct
39 Correct 55 ms 3808 KB Output is correct
40 Correct 51 ms 3820 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 4 ms 436 KB Output is correct
45 Correct 3 ms 340 KB Output is correct
46 Correct 3 ms 480 KB Output is correct
47 Correct 13 ms 852 KB Output is correct
48 Correct 14 ms 852 KB Output is correct
49 Correct 28 ms 1492 KB Output is correct
50 Correct 56 ms 2648 KB Output is correct
51 Correct 85 ms 3792 KB Output is correct
52 Correct 84 ms 3788 KB Output is correct
53 Correct 83 ms 3880 KB Output is correct
54 Correct 82 ms 3824 KB Output is correct
55 Correct 84 ms 3884 KB Output is correct
56 Correct 82 ms 3788 KB Output is correct
57 Correct 83 ms 3788 KB Output is correct
58 Correct 91 ms 3796 KB Output is correct
59 Correct 82 ms 3824 KB Output is correct
60 Correct 85 ms 3804 KB Output is correct
61 Correct 81 ms 3880 KB Output is correct
62 Correct 87 ms 3884 KB Output is correct
63 Correct 81 ms 3880 KB Output is correct
64 Correct 84 ms 3888 KB Output is correct
65 Correct 82 ms 3880 KB Output is correct
66 Correct 83 ms 3788 KB Output is correct
67 Correct 86 ms 4056 KB Output is correct
68 Correct 84 ms 3824 KB Output is correct
69 Correct 81 ms 3788 KB Output is correct
70 Correct 82 ms 3884 KB Output is correct
71 Correct 16 ms 984 KB Output is correct
72 Correct 17 ms 984 KB Output is correct
73 Correct 16 ms 980 KB Output is correct
74 Correct 19 ms 1108 KB Output is correct
75 Correct 15 ms 984 KB Output is correct
76 Correct 34 ms 1712 KB Output is correct
77 Correct 36 ms 1632 KB Output is correct
78 Correct 37 ms 1636 KB Output is correct
79 Correct 34 ms 1620 KB Output is correct
80 Correct 37 ms 1632 KB Output is correct
81 Correct 71 ms 3036 KB Output is correct
82 Correct 71 ms 3052 KB Output is correct
83 Correct 76 ms 3152 KB Output is correct
84 Correct 70 ms 3044 KB Output is correct
85 Correct 70 ms 3048 KB Output is correct
86 Correct 77 ms 3432 KB Output is correct
87 Correct 81 ms 3408 KB Output is correct
88 Correct 78 ms 3528 KB Output is correct
89 Correct 80 ms 3432 KB Output is correct
90 Correct 83 ms 3416 KB Output is correct
91 Correct 178 ms 8152 KB Output is correct
92 Correct 195 ms 8160 KB Output is correct
93 Correct 189 ms 8044 KB Output is correct
94 Correct 191 ms 8156 KB Output is correct
95 Correct 189 ms 8152 KB Output is correct
96 Correct 234 ms 12364 KB Output is correct
97 Correct 237 ms 12472 KB Output is correct
98 Correct 231 ms 12476 KB Output is correct
99 Correct 232 ms 12476 KB Output is correct
100 Correct 228 ms 12480 KB Output is correct
101 Correct 220 ms 12516 KB Output is correct
102 Correct 231 ms 12512 KB Output is correct
103 Correct 231 ms 12520 KB Output is correct
104 Correct 229 ms 12528 KB Output is correct
105 Correct 231 ms 12516 KB Output is correct
106 Correct 255 ms 14552 KB Output is correct
107 Correct 227 ms 14576 KB Output is correct
108 Correct 237 ms 14668 KB Output is correct
109 Correct 228 ms 14636 KB Output is correct
110 Correct 251 ms 14640 KB Output is correct
111 Correct 231 ms 14568 KB Output is correct
112 Correct 230 ms 14696 KB Output is correct
113 Correct 244 ms 14636 KB Output is correct
114 Correct 239 ms 14636 KB Output is correct
115 Correct 278 ms 14632 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 16 ms 1492 KB Output is correct
15 Correct 28 ms 2656 KB Output is correct
16 Correct 52 ms 3828 KB Output is correct
17 Correct 40 ms 3828 KB Output is correct
18 Correct 45 ms 3832 KB Output is correct
19 Correct 44 ms 3824 KB Output is correct
20 Correct 45 ms 3796 KB Output is correct
21 Correct 44 ms 3816 KB Output is correct
22 Correct 48 ms 3788 KB Output is correct
23 Correct 50 ms 3828 KB Output is correct
24 Correct 43 ms 3788 KB Output is correct
25 Correct 49 ms 3820 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 17 ms 1492 KB Output is correct
30 Correct 34 ms 2672 KB Output is correct
31 Correct 51 ms 3796 KB Output is correct
32 Correct 51 ms 3832 KB Output is correct
33 Correct 53 ms 3824 KB Output is correct
34 Correct 51 ms 3796 KB Output is correct
35 Correct 55 ms 3832 KB Output is correct
36 Correct 56 ms 3832 KB Output is correct
37 Correct 54 ms 3788 KB Output is correct
38 Correct 50 ms 3836 KB Output is correct
39 Correct 55 ms 3808 KB Output is correct
40 Correct 51 ms 3820 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 4 ms 436 KB Output is correct
45 Correct 3 ms 340 KB Output is correct
46 Correct 3 ms 480 KB Output is correct
47 Correct 13 ms 852 KB Output is correct
48 Correct 14 ms 852 KB Output is correct
49 Correct 28 ms 1492 KB Output is correct
50 Correct 56 ms 2648 KB Output is correct
51 Correct 85 ms 3792 KB Output is correct
52 Correct 84 ms 3788 KB Output is correct
53 Correct 83 ms 3880 KB Output is correct
54 Correct 82 ms 3824 KB Output is correct
55 Correct 84 ms 3884 KB Output is correct
56 Correct 82 ms 3788 KB Output is correct
57 Correct 83 ms 3788 KB Output is correct
58 Correct 91 ms 3796 KB Output is correct
59 Correct 82 ms 3824 KB Output is correct
60 Correct 85 ms 3804 KB Output is correct
61 Correct 81 ms 3880 KB Output is correct
62 Correct 87 ms 3884 KB Output is correct
63 Correct 81 ms 3880 KB Output is correct
64 Correct 84 ms 3888 KB Output is correct
65 Correct 82 ms 3880 KB Output is correct
66 Correct 83 ms 3788 KB Output is correct
67 Correct 86 ms 4056 KB Output is correct
68 Correct 84 ms 3824 KB Output is correct
69 Correct 81 ms 3788 KB Output is correct
70 Correct 82 ms 3884 KB Output is correct
71 Correct 16 ms 984 KB Output is correct
72 Correct 17 ms 984 KB Output is correct
73 Correct 16 ms 980 KB Output is correct
74 Correct 19 ms 1108 KB Output is correct
75 Correct 15 ms 984 KB Output is correct
76 Correct 34 ms 1712 KB Output is correct
77 Correct 36 ms 1632 KB Output is correct
78 Correct 37 ms 1636 KB Output is correct
79 Correct 34 ms 1620 KB Output is correct
80 Correct 37 ms 1632 KB Output is correct
81 Correct 71 ms 3036 KB Output is correct
82 Correct 71 ms 3052 KB Output is correct
83 Correct 76 ms 3152 KB Output is correct
84 Correct 70 ms 3044 KB Output is correct
85 Correct 70 ms 3048 KB Output is correct
86 Correct 77 ms 3432 KB Output is correct
87 Correct 81 ms 3408 KB Output is correct
88 Correct 78 ms 3528 KB Output is correct
89 Correct 80 ms 3432 KB Output is correct
90 Correct 83 ms 3416 KB Output is correct
91 Correct 178 ms 8152 KB Output is correct
92 Correct 195 ms 8160 KB Output is correct
93 Correct 189 ms 8044 KB Output is correct
94 Correct 191 ms 8156 KB Output is correct
95 Correct 189 ms 8152 KB Output is correct
96 Correct 234 ms 12364 KB Output is correct
97 Correct 237 ms 12472 KB Output is correct
98 Correct 231 ms 12476 KB Output is correct
99 Correct 232 ms 12476 KB Output is correct
100 Correct 228 ms 12480 KB Output is correct
101 Correct 220 ms 12516 KB Output is correct
102 Correct 231 ms 12512 KB Output is correct
103 Correct 231 ms 12520 KB Output is correct
104 Correct 229 ms 12528 KB Output is correct
105 Correct 231 ms 12516 KB Output is correct
106 Correct 255 ms 14552 KB Output is correct
107 Correct 227 ms 14576 KB Output is correct
108 Correct 237 ms 14668 KB Output is correct
109 Correct 228 ms 14636 KB Output is correct
110 Correct 251 ms 14640 KB Output is correct
111 Correct 231 ms 14568 KB Output is correct
112 Correct 230 ms 14696 KB Output is correct
113 Correct 244 ms 14636 KB Output is correct
114 Correct 239 ms 14636 KB Output is correct
115 Correct 278 ms 14632 KB Output is correct
116 Correct 379 ms 2000 KB Output is correct
117 Correct 420 ms 2000 KB Output is correct
118 Correct 727 ms 2604 KB Output is correct
119 Correct 948 ms 2612 KB Output is correct
120 Correct 1051 ms 2636 KB Output is correct
121 Correct 2456 ms 3228 KB Output is correct
122 Correct 2648 ms 3272 KB Output is correct
123 Execution timed out 7048 ms 3816 KB Time limit exceeded
124 Halted 0 ms 0 KB -