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Submission #843074

# Submission time Handle Problem Language Result Execution time Memory
843074 2023-09-03T15:50:57 Z fanwen Abracadabra (CEOI22_abracadabra) C++17
100 / 100
 484 ms 47376 KB 
#include <bits/stdc++.h>

using namespace std;

#define MASK(x) (1LL << (x))
#define BIT(x, i) (((x) >> (i)) & 1)
#define ALL(x) (x).begin(), (x).end()
#define REP(i, n) for (int i = 0, _n = n; i < _n; ++i)
#define FOR(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORD(i, a, b) for (int i = (a), _b = (b); i >= _b; --i)
#define FORE(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define debug(...) "[" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }

template <class A, class B> bool minimize(A &a, B b)  { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b)  { if (a < b) { a = b; return true; } return false; }

template <class T> struct Fenwick_Tree {
    vector<T> bit;
    int n, LOG;
    Fenwick_Tree(int _n = 0) : n(_n), bit(_n + 5) {
        this->LOG = 32 - __builtin_clz(n);
    }

    void clear() { fill(bit.begin(), bit.end(), T(0)); }

    void update(int u, T val) {
        // cout << u << " " << val << '\n';
        for (; u <= n; u += u & -u) bit[u] += val;
    }

    T get(int u) {
        T ans = 0;
        assert(u <= n);
        for (; u; u -= u & -u) ans += bit[u];
        return ans;
    }

    T get(int l, int r) {
        return get(r) - get(l - 1);
    }

    int lower_bound(T x) {
        int pos = 0;
        for (int k = LOG - 1; k >= 0; --k) {
            if(pos + (1 << k) <= n && bit[pos + (1 << k)] < x) {
                pos ^= 1 << k;
                x -= bit[pos];
            }
        }
        return pos + 1;
    }
};

const int MAXN = 2e5 + 5;

int N, Q, a[MAXN], p[MAXN], ans[MAXN * 5], nxt[MAXN];
vector <pair <int, int>> queries[MAXN];

void you_make_it(void) {
    cin >> N >> Q;
    FOR(i, 1, N) cin >> a[i], p[a[i]] = i;
    FOR(i, 1, Q) {
        int t, x; cin >> t >> x;
        queries[min(t, N)].emplace_back(x, i);
    }
    stack <int> st;
    st.push(N + 1), a[N + 1] = N + 1;
    FORD(i, N, 1) {
        while(!st.empty() and a[st.top()] <= a[i]) st.pop();
        nxt[i] = st.top();
        st.push(i);
    }
    for (auto [x, i] : queries[0]) ans[i] = a[x];
    int lt = 1;
    Fenwick_Tree <int> bit(N);
    while(lt <= N / 2) {
        bit.update(a[lt], min(N / 2 + 1, nxt[lt]) - lt);
        lt = nxt[lt];
    }
    lt = N / 2 + 1;
    while(lt <= N) {
        bit.update(a[lt], min(N + 1, nxt[lt]) - lt);
        lt = nxt[lt];
    }
    // exit(0);
    FOR(q, 1, N) {
        for (auto [x, i] : queries[q]) {
            int id = bit.lower_bound(x);
            ans[i] = a[x - bit.get(id - 1) + p[id] - 1];
        }
        int id = bit.lower_bound(N / 2);
        if(bit.get(id) <= N / 2) continue;

        int lt = N / 2 - bit.get(id - 1) + p[id];
        int rt = bit.get(id, id) + p[id] - 1;
        bit.update(id, N / 2 - bit.get(id));
        while(lt <= rt) {
            bit.update(a[lt], min(rt + 1, nxt[lt]) - lt);
            lt = nxt[lt];
        }
    }
    FOR(i, 1, Q) cout << ans[i] << '\n';
}

signed main() {

#ifdef LOCAL
    freopen("TASK.inp", "r", stdin);
    freopen("TASK.out", "w", stdout);
#endif
    auto start_time = chrono::steady_clock::now();

    cin.tie(0), cout.tie(0) -> sync_with_stdio(0);

    you_make_it();

    auto end_time = chrono::steady_clock::now();

    cerr << "\nExecution time : " << chrono::duration_cast <chrono::milliseconds> (end_time - start_time).count() << "[ms]" << endl;

    return (0 ^ 0);
}

// Dream it. Wish it. Do it.

Compilation message

Main.cpp: In instantiation of 'Fenwick_Tree<T>::Fenwick_Tree(int) [with T = int]':
Main.cpp:76:29:   required from here
Main.cpp:20:9: warning: 'Fenwick_Tree<int>::n' will be initialized after [-Wreorder]
   20 |     int n, LOG;
      |         ^
Main.cpp:19:15: warning:   'std::vector<int> Fenwick_Tree<int>::bit' [-Wreorder]
   19 |     vector<T> bit;
      |               ^~~
Main.cpp:21:5: warning:   when initialized here [-Wreorder]
   21 |     Fenwick_Tree(int _n = 0) : n(_n), bit(_n + 5) {
      |     ^~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 25096 KB Output is correct
2 Correct 209 ms 23896 KB Output is correct
3 Correct 194 ms 23380 KB Output is correct
4 Correct 154 ms 23356 KB Output is correct
5 Correct 168 ms 25404 KB Output is correct
6 Correct 176 ms 26036 KB Output is correct
7 Correct 176 ms 26192 KB Output is correct
8 Correct 160 ms 24876 KB Output is correct
9 Correct 162 ms 23624 KB Output is correct
10 Correct 161 ms 23460 KB Output is correct
11 Correct 162 ms 23748 KB Output is correct
12 Correct 151 ms 22184 KB Output is correct
13 Correct 172 ms 22828 KB Output is correct
14 Correct 172 ms 24916 KB Output is correct
15 Correct 185 ms 23244 KB Output is correct
16 Correct 1 ms 8796 KB Output is correct
17 Correct 130 ms 22552 KB Output is correct
18 Correct 161 ms 22232 KB Output is correct
19 Correct 1 ms 8796 KB Output is correct
20 Correct 1 ms 8796 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 256 ms 40252 KB Output is correct
2 Correct 266 ms 40372 KB Output is correct
3 Correct 203 ms 34628 KB Output is correct
4 Correct 186 ms 33972 KB Output is correct
5 Correct 197 ms 34996 KB Output is correct
6 Correct 180 ms 34588 KB Output is correct
7 Correct 230 ms 39576 KB Output is correct
8 Correct 223 ms 38836 KB Output is correct
9 Correct 195 ms 35124 KB Output is correct
10 Correct 215 ms 37240 KB Output is correct
11 Correct 171 ms 32900 KB Output is correct
12 Correct 178 ms 34092 KB Output is correct
13 Correct 216 ms 36536 KB Output is correct
14 Correct 206 ms 34088 KB Output is correct
15 Correct 213 ms 38072 KB Output is correct
16 Correct 27 ms 11124 KB Output is correct
17 Correct 175 ms 35848 KB Output is correct
18 Correct 155 ms 32440 KB Output is correct
19 Correct 54 ms 15804 KB Output is correct
20 Correct 75 ms 17292 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 11984 KB Output is correct
2 Correct 46 ms 11604 KB Output is correct
3 Correct 47 ms 11604 KB Output is correct
4 Correct 36 ms 11304 KB Output is correct
5 Correct 44 ms 11600 KB Output is correct
6 Correct 36 ms 11136 KB Output is correct
7 Correct 38 ms 11496 KB Output is correct
8 Correct 37 ms 11348 KB Output is correct
9 Correct 39 ms 11348 KB Output is correct
10 Correct 32 ms 11120 KB Output is correct
11 Correct 37 ms 11132 KB Output is correct
12 Correct 31 ms 11088 KB Output is correct
13 Correct 32 ms 10844 KB Output is correct
14 Correct 32 ms 11096 KB Output is correct
15 Correct 38 ms 11104 KB Output is correct
16 Correct 12 ms 9304 KB Output is correct
17 Correct 24 ms 10960 KB Output is correct
18 Correct 25 ms 10712 KB Output is correct
19 Correct 1 ms 8796 KB Output is correct
20 Correct 1 ms 8796 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 25096 KB Output is correct
2 Correct 209 ms 23896 KB Output is correct
3 Correct 194 ms 23380 KB Output is correct
4 Correct 154 ms 23356 KB Output is correct
5 Correct 168 ms 25404 KB Output is correct
6 Correct 176 ms 26036 KB Output is correct
7 Correct 176 ms 26192 KB Output is correct
8 Correct 160 ms 24876 KB Output is correct
9 Correct 162 ms 23624 KB Output is correct
10 Correct 161 ms 23460 KB Output is correct
11 Correct 162 ms 23748 KB Output is correct
12 Correct 151 ms 22184 KB Output is correct
13 Correct 172 ms 22828 KB Output is correct
14 Correct 172 ms 24916 KB Output is correct
15 Correct 185 ms 23244 KB Output is correct
16 Correct 1 ms 8796 KB Output is correct
17 Correct 130 ms 22552 KB Output is correct
18 Correct 161 ms 22232 KB Output is correct
19 Correct 1 ms 8796 KB Output is correct
20 Correct 1 ms 8796 KB Output is correct
21 Correct 256 ms 40252 KB Output is correct
22 Correct 266 ms 40372 KB Output is correct
23 Correct 203 ms 34628 KB Output is correct
24 Correct 186 ms 33972 KB Output is correct
25 Correct 197 ms 34996 KB Output is correct
26 Correct 180 ms 34588 KB Output is correct
27 Correct 230 ms 39576 KB Output is correct
28 Correct 223 ms 38836 KB Output is correct
29 Correct 195 ms 35124 KB Output is correct
30 Correct 215 ms 37240 KB Output is correct
31 Correct 171 ms 32900 KB Output is correct
32 Correct 178 ms 34092 KB Output is correct
33 Correct 216 ms 36536 KB Output is correct
34 Correct 206 ms 34088 KB Output is correct
35 Correct 213 ms 38072 KB Output is correct
36 Correct 27 ms 11124 KB Output is correct
37 Correct 175 ms 35848 KB Output is correct
38 Correct 155 ms 32440 KB Output is correct
39 Correct 54 ms 15804 KB Output is correct
40 Correct 75 ms 17292 KB Output is correct
41 Correct 55 ms 11984 KB Output is correct
42 Correct 46 ms 11604 KB Output is correct
43 Correct 47 ms 11604 KB Output is correct
44 Correct 36 ms 11304 KB Output is correct
45 Correct 44 ms 11600 KB Output is correct
46 Correct 36 ms 11136 KB Output is correct
47 Correct 38 ms 11496 KB Output is correct
48 Correct 37 ms 11348 KB Output is correct
49 Correct 39 ms 11348 KB Output is correct
50 Correct 32 ms 11120 KB Output is correct
51 Correct 37 ms 11132 KB Output is correct
52 Correct 31 ms 11088 KB Output is correct
53 Correct 32 ms 10844 KB Output is correct
54 Correct 32 ms 11096 KB Output is correct
55 Correct 38 ms 11104 KB Output is correct
56 Correct 12 ms 9304 KB Output is correct
57 Correct 24 ms 10960 KB Output is correct
58 Correct 25 ms 10712 KB Output is correct
59 Correct 1 ms 8796 KB Output is correct
60 Correct 1 ms 8796 KB Output is correct
61 Correct 484 ms 47376 KB Output is correct
62 Correct 410 ms 45920 KB Output is correct
63 Correct 439 ms 44752 KB Output is correct
64 Correct 361 ms 44104 KB Output is correct
65 Correct 335 ms 45716 KB Output is correct
66 Correct 301 ms 44116 KB Output is correct
67 Correct 291 ms 43412 KB Output is correct
68 Correct 280 ms 42068 KB Output is correct
69 Correct 298 ms 44172 KB Output is correct
70 Correct 273 ms 40516 KB Output is correct
71 Correct 244 ms 41552 KB Output is correct
72 Correct 260 ms 40632 KB Output is correct
73 Correct 246 ms 41200 KB Output is correct
74 Correct 269 ms 43092 KB Output is correct
75 Correct 267 ms 41616 KB Output is correct
76 Correct 22 ms 11356 KB Output is correct
77 Correct 179 ms 36272 KB Output is correct
78 Correct 196 ms 35504 KB Output is correct
79 Correct 1 ms 8796 KB Output is correct
80 Correct 2 ms 8796 KB Output is correct