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Submission #1107104

# Submission time Handle Problem Language Result Execution time Memory
1107104 2024-10-31T16:44:41 Z Sharky Abracadabra (CEOI22_abracadabra) C++17
100 / 100
 497 ms 45240 KB 
#include <bits/stdc++.h>
using namespace std;

const int N = 2e5 + 10;
const int Q = 1e6 + 10;
int n, in[N], a[N], xi[N], yi[N], nxt[N], q, px = 1, py = 1, po[N], ans[Q];
array<int, 3> qry[Q];

struct SegTree {
    int size = 1;
    vector<int> seg;
    void init(int _n) {
        while (size < _n) size *= 2;
        seg.assign(2 * size + 10, 0);
    }
    void update(int pos, int v, int l, int r, int id) {
        if (l == r) {
            seg[id] += v;
            return;
        }
        int mid = (l + r) / 2;
        if (pos <= mid) update(pos, v, l, mid, id * 2);
        else update(pos, v, mid + 1, r, id * 2 + 1);
        seg[id] = seg[id * 2] + seg[id * 2 + 1];
    }
    int query(int ql, int qr, int l, int r, int id) {
        if (qr < l || r < ql) return 0;
        if (ql <= l && r <= qr) return seg[id];
        int mid = (l + r) / 2;
        return query(ql, qr, l, mid, id * 2) + query(ql, qr, mid + 1, r, id * 2 + 1);
    }
    int find(int l, int r, int sum, int id) {
        if (l == r) return l;
        int mid = (l + r) / 2;
        if (seg[id * 2] >= sum) return find(l, mid, sum, id * 2);
        else return find(mid + 1, r, sum - seg[id * 2], id * 2 + 1);
    }
} ST;

int get_next(int value, int dist) {
    return a[po[value] + dist];
}

int main() {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> n >> q;
    for (int i = 1; i <= n; i++) {
        cin >> in[i];
        if (i <= n / 2) xi[i] = in[i];
        else yi[i - n / 2] = in[i];
    }
    for (int i = 1; i <= n; i++) {
        if (px > n / 2) a[i] = yi[py++];
        else if (py > n / 2) a[i] = xi[px++];
        else if (xi[px] < yi[py]) a[i] = xi[px++];
        else a[i] = yi[py++];
        po[a[i]] = i;
    }
    // for (int i = 1; i <= n; i++) cout << a[i] << ' '; cout << '\n';
    stack<int> st;
    for (int i = 1; i <= n; i++) nxt[i] = 1e9;
    for (int i = n; i >= 1; i--) {
        while (!st.empty() && a[st.top()] < a[i]) st.pop();
        if (!st.empty()) nxt[i] = st.top() - i;
        st.push(i);
    }
    // for (int i = 1; i <= n; i++) cout << nxt[i] << ' '; cout << '\n';
    vector<pair<int, int>> piv;
    for (int i = 1; i <= n; i++) {
        if (piv.empty() || piv.back().first < a[i]) piv.push_back({a[i], 1});
        else piv.back().second++;
    }
    for (int i = 1; i <= q; i++) {
        cin >> qry[i][0] >> qry[i][1];
        qry[i][2] = i;
    }
    sort(qry + 1, qry + q + 1, [] (auto x, auto y) {
        return x[0] < y[0];
    });
    ST.init(n + 1);
    for (auto& [pi, pj] : piv) ST.update(pi, pj, 1, n, 1);
    int cur = 1;
    bool firm = 0;
    // for (int i = 1; i <= n; i++) cout << ST.query(i, i, 1, n, 1) << ' ';
    // cout << '\n';
    for (int i = 1; i <= q; i++) {
        int t = qry[i][0], id = qry[i][1];
        if (!t) {
            ans[qry[i][2]] = in[id];
            continue;
        }
        if (t == 1) {
            ans[qry[i][2]] = a[id];
            continue;
        }
        while (cur < t && !firm) {
            int rt = ST.find(1, n, n / 2, 1);
            int actl = ST.query(1, rt, 1, n, 1);
            int pdist = ST.query(1, rt - 1, 1, n, 1);
            if (actl == n / 2) {
                firm = 1;
                break;
            }
            // cout << "rt: " << rt << '\n';
            int ex = actl - n / 2, elapsed = 0;
            ST.update(rt, -ex, 1, n, 1);
            while (ex > 0) {
                int hd = get_next(rt, n / 2 + elapsed - pdist);
                // cout << "hd: " << hd << '\n';
                int len = min(nxt[po[hd]] - 1, ex - 1);
                // cout << "len: " << nxt[po[hd]] - 1 << " " << ex << '\n';
                ST.update(hd, len + 1, 1, n, 1);
                ex -= len + 1, elapsed += len + 1;
            }
            cur++;
            // for (int j = 1; j <= n; j++) cout << ST.query(j, j, 1, n, 1) << ' ';
            // cout << '\n';
        }
        int cutoff = ST.find(1, n, id, 1); // >=
        int actl = ST.query(1, cutoff - 1, 1, n, 1);
        int dista = id - actl - 1;
        ans[qry[i][2]] = a[po[cutoff] + dista];
    }
    // for (int i = 1; i <= n; i++) cout << ST.query(i, i, 1, n, 1) << ' ';
    // cout << '\n';
    for (int i = 1; i <= q; i++) cout << ans[i] << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 22856 KB Output is correct
2 Correct 265 ms 30280 KB Output is correct
3 Correct 241 ms 30024 KB Output is correct
4 Correct 200 ms 28796 KB Output is correct
5 Correct 237 ms 30024 KB Output is correct
6 Correct 239 ms 29256 KB Output is correct
7 Correct 240 ms 30024 KB Output is correct
8 Correct 219 ms 29052 KB Output is correct
9 Correct 227 ms 29256 KB Output is correct
10 Correct 251 ms 29320 KB Output is correct
11 Correct 217 ms 29256 KB Output is correct
12 Correct 191 ms 28232 KB Output is correct
13 Correct 197 ms 29000 KB Output is correct
14 Correct 231 ms 29568 KB Output is correct
15 Correct 231 ms 29256 KB Output is correct
16 Correct 1 ms 6480 KB Output is correct
17 Correct 148 ms 28428 KB Output is correct
18 Correct 179 ms 28232 KB Output is correct
19 Correct 2 ms 6480 KB Output is correct
20 Correct 1 ms 6480 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 355 ms 29004 KB Output is correct
2 Correct 378 ms 45240 KB Output is correct
3 Correct 276 ms 39544 KB Output is correct
4 Correct 270 ms 38320 KB Output is correct
5 Correct 248 ms 38796 KB Output is correct
6 Correct 221 ms 37960 KB Output is correct
7 Correct 283 ms 42316 KB Output is correct
8 Correct 273 ms 41544 KB Output is correct
9 Correct 236 ms 38736 KB Output is correct
10 Correct 264 ms 40520 KB Output is correct
11 Correct 211 ms 36936 KB Output is correct
12 Correct 215 ms 37204 KB Output is correct
13 Correct 273 ms 39632 KB Output is correct
14 Correct 231 ms 37704 KB Output is correct
15 Correct 274 ms 40968 KB Output is correct
16 Correct 18 ms 11344 KB Output is correct
17 Correct 186 ms 40904 KB Output is correct
18 Correct 135 ms 35124 KB Output is correct
19 Correct 60 ms 20464 KB Output is correct
20 Correct 73 ms 22088 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 11080 KB Output is correct
2 Correct 60 ms 13756 KB Output is correct
3 Correct 73 ms 13532 KB Output is correct
4 Correct 41 ms 12636 KB Output is correct
5 Correct 58 ms 12936 KB Output is correct
6 Correct 42 ms 12616 KB Output is correct
7 Correct 51 ms 12872 KB Output is correct
8 Correct 46 ms 12728 KB Output is correct
9 Correct 55 ms 12820 KB Output is correct
10 Correct 42 ms 12596 KB Output is correct
11 Correct 40 ms 12616 KB Output is correct
12 Correct 37 ms 12624 KB Output is correct
13 Correct 39 ms 12664 KB Output is correct
14 Correct 37 ms 12616 KB Output is correct
15 Correct 38 ms 12524 KB Output is correct
16 Correct 12 ms 8784 KB Output is correct
17 Correct 41 ms 13764 KB Output is correct
18 Correct 25 ms 12368 KB Output is correct
19 Correct 1 ms 6480 KB Output is correct
20 Correct 1 ms 6480 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 22856 KB Output is correct
2 Correct 265 ms 30280 KB Output is correct
3 Correct 241 ms 30024 KB Output is correct
4 Correct 200 ms 28796 KB Output is correct
5 Correct 237 ms 30024 KB Output is correct
6 Correct 239 ms 29256 KB Output is correct
7 Correct 240 ms 30024 KB Output is correct
8 Correct 219 ms 29052 KB Output is correct
9 Correct 227 ms 29256 KB Output is correct
10 Correct 251 ms 29320 KB Output is correct
11 Correct 217 ms 29256 KB Output is correct
12 Correct 191 ms 28232 KB Output is correct
13 Correct 197 ms 29000 KB Output is correct
14 Correct 231 ms 29568 KB Output is correct
15 Correct 231 ms 29256 KB Output is correct
16 Correct 1 ms 6480 KB Output is correct
17 Correct 148 ms 28428 KB Output is correct
18 Correct 179 ms 28232 KB Output is correct
19 Correct 2 ms 6480 KB Output is correct
20 Correct 1 ms 6480 KB Output is correct
21 Correct 355 ms 29004 KB Output is correct
22 Correct 378 ms 45240 KB Output is correct
23 Correct 276 ms 39544 KB Output is correct
24 Correct 270 ms 38320 KB Output is correct
25 Correct 248 ms 38796 KB Output is correct
26 Correct 221 ms 37960 KB Output is correct
27 Correct 283 ms 42316 KB Output is correct
28 Correct 273 ms 41544 KB Output is correct
29 Correct 236 ms 38736 KB Output is correct
30 Correct 264 ms 40520 KB Output is correct
31 Correct 211 ms 36936 KB Output is correct
32 Correct 215 ms 37204 KB Output is correct
33 Correct 273 ms 39632 KB Output is correct
34 Correct 231 ms 37704 KB Output is correct
35 Correct 274 ms 40968 KB Output is correct
36 Correct 18 ms 11344 KB Output is correct
37 Correct 186 ms 40904 KB Output is correct
38 Correct 135 ms 35124 KB Output is correct
39 Correct 60 ms 20464 KB Output is correct
40 Correct 73 ms 22088 KB Output is correct
41 Correct 70 ms 11080 KB Output is correct
42 Correct 60 ms 13756 KB Output is correct
43 Correct 73 ms 13532 KB Output is correct
44 Correct 41 ms 12636 KB Output is correct
45 Correct 58 ms 12936 KB Output is correct
46 Correct 42 ms 12616 KB Output is correct
47 Correct 51 ms 12872 KB Output is correct
48 Correct 46 ms 12728 KB Output is correct
49 Correct 55 ms 12820 KB Output is correct
50 Correct 42 ms 12596 KB Output is correct
51 Correct 40 ms 12616 KB Output is correct
52 Correct 37 ms 12624 KB Output is correct
53 Correct 39 ms 12664 KB Output is correct
54 Correct 37 ms 12616 KB Output is correct
55 Correct 38 ms 12524 KB Output is correct
56 Correct 12 ms 8784 KB Output is correct
57 Correct 41 ms 13764 KB Output is correct
58 Correct 25 ms 12368 KB Output is correct
59 Correct 1 ms 6480 KB Output is correct
60 Correct 1 ms 6480 KB Output is correct
61 Correct 472 ms 43052 KB Output is correct
62 Correct 496 ms 45184 KB Output is correct
63 Correct 497 ms 42944 KB Output is correct
64 Correct 407 ms 41288 KB Output is correct
65 Correct 397 ms 42272 KB Output is correct
66 Correct 357 ms 41568 KB Output is correct
67 Correct 368 ms 41880 KB Output is correct
68 Correct 443 ms 41092 KB Output is correct
69 Correct 393 ms 41100 KB Output is correct
70 Correct 395 ms 40600 KB Output is correct
71 Correct 330 ms 39768 KB Output is correct
72 Correct 361 ms 40520 KB Output is correct
73 Correct 381 ms 40008 KB Output is correct
74 Correct 365 ms 41156 KB Output is correct
75 Correct 356 ms 40768 KB Output is correct
76 Correct 18 ms 11344 KB Output is correct
77 Correct 210 ms 41080 KB Output is correct
78 Correct 207 ms 37960 KB Output is correct
79 Correct 1 ms 6480 KB Output is correct
80 Correct 2 ms 6480 KB Output is correct