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Submission #856007

# Submission time Handle Problem Language Result Execution time Memory
856007 2023-10-02T14:16:57 Z Pannda Abracadabra (CEOI22_abracadabra) C++17
100 / 100
 527 ms 48224 KB 
#include <bits/stdc++.h>
using namespace std;

const int LOG = 20;

struct Fenwick {
    int n;
    vector<int> bit;
    vector<int> a;
    Fenwick(int n) : n(n), bit(n + 1, 0), a(n, 0) {}

    void add(int i, int delta) {
        a[i] += delta;
        for (i++; i <= n; i += i & -i) {
            bit[i] += delta;
        }
    }

    int sum(int i) {
        int res = 0;
        for (; i > 0; i -= i & -i) {
            res += bit[i];
        }
        return res;
    }

    int get(int i) {
        return a[i];
    }

    int kth(int k) {
        int sum = 0;
        int cur = 0;
        for (int i = LOG - 1; i >= 0; i--) {
            if (cur + (1 << i) <= n && sum + bit[cur + (1 << i)] <= k) {
                cur += (1 << i);
                sum += bit[cur];
            }
        }
        return cur;
    }
};

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

    int n, q;
    cin >> n >> q;
    vector<int> a(n), ia(n);
    vector<vector<array<int, 2>>> mp(n + 1);
    vector<int> ans(q);

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

    for (int id = 0; id < q; id++) {
        int t, i;
        cin >> t >> i;
        i--;
        t = min(t, n);
        mp[t].push_back({ i, id });
    }

    vector<int> dec;
    vector<int> f(n);
    for (int i = n - 1; i >= 0; i--) {
        while (!dec.empty() && a[i] > a[dec.back()]) {
            dec.pop_back();
        }
        f[i] = dec.empty() ? n : dec.back();
        dec.push_back(i);
    }

    Fenwick fen(n);
    for (int i = 0; i < n; i = f[i]) {
        fen.add(a[i], f[i] - i);
    }

    function<void()> cut = [&]() {
        int head = fen.kth(n / 2);
        int pos = fen.sum(head);
        int fromLen = fen.get(head);
        int toLen = n / 2 - pos;
        fen.add(head, -fromLen + toLen);

        int newHead = a[ia[head] + toLen];
        int i = ia[newHead];
        int k = n / 2;
        int bound = pos + fromLen;
        while (k + f[i] - i < bound) {
            fen.add(a[i], f[i] - i);
            k += f[i] - i;
            i = f[i];
        }
        fen.add(a[i], bound - k);
    };

    function<int(int)> kth = [&](int k) {
        int head = fen.kth(k);
        int pos = fen.sum(head);
        int delta = k - pos;
        return a[ia[head] + delta];
    };

    for (int t = 0; t <= n; t++) {
        for (auto [i, id] : mp[t]) {
            ans[id] = kth(i);
        }
        cut();
    }

    for (auto x : ans) {
        cout << x + 1 << '\n';
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 260 ms 22672 KB Output is correct
2 Correct 251 ms 20884 KB Output is correct
3 Correct 234 ms 20632 KB Output is correct
4 Correct 219 ms 19092 KB Output is correct
5 Correct 198 ms 22756 KB Output is correct
6 Correct 197 ms 23312 KB Output is correct
7 Correct 199 ms 23716 KB Output is correct
8 Correct 193 ms 21700 KB Output is correct
9 Correct 208 ms 20616 KB Output is correct
10 Correct 207 ms 20292 KB Output is correct
11 Correct 187 ms 21080 KB Output is correct
12 Correct 184 ms 18432 KB Output is correct
13 Correct 195 ms 19572 KB Output is correct
14 Correct 192 ms 21956 KB Output is correct
15 Correct 207 ms 20464 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 194 ms 18576 KB Output is correct
18 Correct 243 ms 18648 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 284 ms 34640 KB Output is correct
2 Correct 311 ms 34956 KB Output is correct
3 Correct 252 ms 30928 KB Output is correct
4 Correct 222 ms 29112 KB Output is correct
5 Correct 219 ms 31048 KB Output is correct
6 Correct 242 ms 29308 KB Output is correct
7 Correct 257 ms 33968 KB Output is correct
8 Correct 282 ms 38796 KB Output is correct
9 Correct 209 ms 36028 KB Output is correct
10 Correct 263 ms 37752 KB Output is correct
11 Correct 197 ms 33552 KB Output is correct
12 Correct 213 ms 33560 KB Output is correct
13 Correct 244 ms 37052 KB Output is correct
14 Correct 207 ms 34756 KB Output is correct
15 Correct 261 ms 38588 KB Output is correct
16 Correct 28 ms 10072 KB Output is correct
17 Correct 244 ms 36536 KB Output is correct
18 Correct 189 ms 30616 KB Output is correct
19 Correct 76 ms 15308 KB Output is correct
20 Correct 80 ms 16584 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 8792 KB Output is correct
2 Correct 54 ms 8648 KB Output is correct
3 Correct 50 ms 8400 KB Output is correct
4 Correct 42 ms 7976 KB Output is correct
5 Correct 46 ms 8276 KB Output is correct
6 Correct 42 ms 7764 KB Output is correct
7 Correct 49 ms 8364 KB Output is correct
8 Correct 43 ms 8528 KB Output is correct
9 Correct 43 ms 8832 KB Output is correct
10 Correct 41 ms 8020 KB Output is correct
11 Correct 36 ms 8540 KB Output is correct
12 Correct 38 ms 8280 KB Output is correct
13 Correct 44 ms 8180 KB Output is correct
14 Correct 53 ms 8388 KB Output is correct
15 Correct 49 ms 8272 KB Output is correct
16 Correct 20 ms 5212 KB Output is correct
17 Correct 43 ms 7920 KB Output is correct
18 Correct 36 ms 7748 KB Output is correct
19 Correct 0 ms 376 KB Output is correct
20 Correct 0 ms 348 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 260 ms 22672 KB Output is correct
2 Correct 251 ms 20884 KB Output is correct
3 Correct 234 ms 20632 KB Output is correct
4 Correct 219 ms 19092 KB Output is correct
5 Correct 198 ms 22756 KB Output is correct
6 Correct 197 ms 23312 KB Output is correct
7 Correct 199 ms 23716 KB Output is correct
8 Correct 193 ms 21700 KB Output is correct
9 Correct 208 ms 20616 KB Output is correct
10 Correct 207 ms 20292 KB Output is correct
11 Correct 187 ms 21080 KB Output is correct
12 Correct 184 ms 18432 KB Output is correct
13 Correct 195 ms 19572 KB Output is correct
14 Correct 192 ms 21956 KB Output is correct
15 Correct 207 ms 20464 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 194 ms 18576 KB Output is correct
18 Correct 243 ms 18648 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 284 ms 34640 KB Output is correct
22 Correct 311 ms 34956 KB Output is correct
23 Correct 252 ms 30928 KB Output is correct
24 Correct 222 ms 29112 KB Output is correct
25 Correct 219 ms 31048 KB Output is correct
26 Correct 242 ms 29308 KB Output is correct
27 Correct 257 ms 33968 KB Output is correct
28 Correct 282 ms 38796 KB Output is correct
29 Correct 209 ms 36028 KB Output is correct
30 Correct 263 ms 37752 KB Output is correct
31 Correct 197 ms 33552 KB Output is correct
32 Correct 213 ms 33560 KB Output is correct
33 Correct 244 ms 37052 KB Output is correct
34 Correct 207 ms 34756 KB Output is correct
35 Correct 261 ms 38588 KB Output is correct
36 Correct 28 ms 10072 KB Output is correct
37 Correct 244 ms 36536 KB Output is correct
38 Correct 189 ms 30616 KB Output is correct
39 Correct 76 ms 15308 KB Output is correct
40 Correct 80 ms 16584 KB Output is correct
41 Correct 52 ms 8792 KB Output is correct
42 Correct 54 ms 8648 KB Output is correct
43 Correct 50 ms 8400 KB Output is correct
44 Correct 42 ms 7976 KB Output is correct
45 Correct 46 ms 8276 KB Output is correct
46 Correct 42 ms 7764 KB Output is correct
47 Correct 49 ms 8364 KB Output is correct
48 Correct 43 ms 8528 KB Output is correct
49 Correct 43 ms 8832 KB Output is correct
50 Correct 41 ms 8020 KB Output is correct
51 Correct 36 ms 8540 KB Output is correct
52 Correct 38 ms 8280 KB Output is correct
53 Correct 44 ms 8180 KB Output is correct
54 Correct 53 ms 8388 KB Output is correct
55 Correct 49 ms 8272 KB Output is correct
56 Correct 20 ms 5212 KB Output is correct
57 Correct 43 ms 7920 KB Output is correct
58 Correct 36 ms 7748 KB Output is correct
59 Correct 0 ms 376 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 527 ms 48224 KB Output is correct
62 Correct 443 ms 46752 KB Output is correct
63 Correct 438 ms 45680 KB Output is correct
64 Correct 348 ms 44568 KB Output is correct
65 Correct 368 ms 46416 KB Output is correct
66 Correct 338 ms 44380 KB Output is correct
67 Correct 309 ms 44252 KB Output is correct
68 Correct 302 ms 42368 KB Output is correct
69 Correct 317 ms 44640 KB Output is correct
70 Correct 293 ms 40740 KB Output is correct
71 Correct 254 ms 42096 KB Output is correct
72 Correct 287 ms 41080 KB Output is correct
73 Correct 276 ms 41552 KB Output is correct
74 Correct 278 ms 43600 KB Output is correct
75 Correct 299 ms 42320 KB Output is correct
76 Correct 29 ms 10076 KB Output is correct
77 Correct 334 ms 37564 KB Output is correct
78 Correct 244 ms 35408 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 0 ms 348 KB Output is correct