oj.uz

Submission #971368

# Submission time Handle Problem Language Result Execution time Memory
971368 2024-04-28T12:07:30 Z vjudge1 Abracadabra (CEOI22_abracadabra) C++17
100 / 100
 1935 ms 59152 KB 
#include <bits/stdc++.h>

using namespace std;

using vi = vector<int>;
using ii = pair<int, int>;

struct nod {
    int sz, pmax, vmax, val;
    nod *l, *r;
} *nil = new nod{0, -1, -1, -1, 0, 0};

using ns = nod*;

vector<ns> ToDel;
ns nod_nou(int v) {
    ns re = new nod{1, 0, v, v, nil, nil};
    ToDel.push_back(re);
    return re;
}

ns mod_fiu(ns a, int side, ns f) {
    (side ? a->r : a->l) = f;
    a->sz = a->l->sz + a->r->sz + 1;
    int vl = a->l->vmax, eu = a->val, vr = a->r->vmax;
    if(vl > eu && vl > vr) {
        a->pmax = a->l->pmax;
        a->vmax = vl;
    }
    if(eu > vl && eu > vr) {
        a->pmax = a->l->sz;
        a->vmax = eu;
    }
    if(vr > vl && vr > eu) {
        a->pmax = a->r->pmax + a->l->sz + 1;
        a->vmax = vr;
    }
    return a;
}

mt19937 rng(1);

ns join(ns a, ns b) {
    return a == nil ? b :
        b == nil ? a :
        uniform_int_distribution<int>(1, a->sz + b->sz)(rng) <= a->sz ? 
            mod_fiu(a, 1, join(a->r, b)) /// a este tata
            : mod_fiu(b, 0, join(a, b->l));
}

struct pns {
    ns l, r;
};

pns split(ns a, int cnt) {
    if(cnt > a->sz) {
        cout << "Split prost\n";
        exit(0);
    }
    if(a == nil)
        assert(!a->sz);
    pns tmp;
    return !cnt ? pns{nil, a} :
            cnt == a->sz ? pns{a, nil} : 
            a->l->sz >= cnt ? 
                (tmp = split(a->l, cnt), tmp.r = mod_fiu(a, 0, tmp.r), tmp)
             : (tmp = split(a->r, cnt - a->l->sz - 1), tmp.l = mod_fiu(a, 1, tmp.l), tmp);
}

void afis(ns a) {
    if(a == nil) return;
    afis(a->l);
    cout << a->val + 1 << " ";
    afis(a->r);
}

vector<ns> Sparge(ns a) {
    vector<ns> Re;
    while(a->pmax) {
        pns doi = split(a, a->pmax);
        Re.push_back(doi.r);
        a = doi.l;
    }
    Re.push_back(a);
    return Re;
}

struct AIB {
    int n;
    vi V;

    AIB(int N) : n(N + 1), V(N + 1, 0) {}
    
    void update(int p, int v) {
        ++p;
        while(p < n) {
            V[p] += v;
            p += p & -p;
        }
    }

    int cauta(int v) {
        ///vreau prima pozitie pt care query(p) >= v 
        int p = 0;
        for(int step = 20; step >= 0; --step)
            if(p + (1 << step) < n && v >= V[p + (1 << step)]) {
                p += (1 << step);
                v -= V[p];
            }
        return p;
    }

    int query(int p) {
        ++p;
        int re = 0;
        while(p) {
            re += V[p];
            p -= p & -p;
        }
        return re;
    }
};

int main() {
    cin.tie(0);
    ios_base::sync_with_stdio(0);

    int n, q;
    cin >> n >> q;
    
    vi V0(n, 0);
    ns A = nil, B = nil;
    for(int i = 0; i < n; ++i) {
        cin >> V0[i];
        --V0[i];
        if(i < n / 2) A = join(A, nod_nou(V0[i]));
        else B = join(B, nod_nou(V0[i]));
    }
    AIB Sume(n);

    auto SA = Sparge(A), SB = Sparge(B);
    vector<ns> V(n, nil);
    vi Sz(n, 0);

    auto update = [&](ns nod, int sgn) {
        if(nod == nil) return;
        Sz[nod->vmax] += sgn * nod->sz;
        V[nod->vmax] = nod;
        Sume.update(nod->vmax, sgn * nod->sz);
    };

    vector<vector<ii> > Q(n + 2);
    vi Re(q, 0);
    for(int i = 0; i < q; ++i) {
        int t, p;
        cin >> t >> p;
        Q[min(t, n)].push_back({i, p});
    }
    for(auto [id, p] : Q[0]) Re[id] = V0[p - 1];

    for(auto it : SA) 
        update(it, 1);
    for(auto it : SB) 
        update(it, 1);

    for(int t = 1; t <= n; ++t) {
        for(auto [id, p] : Q[t]) {
            int p1 = Sume.cauta(p - 1);
            ns eu = V[p1];
            int nr = p - Sume.query(p1 - 1) - 1;
            pns a = split(eu, nr);
            pns b = split(a.r, 1);
            Re[id] = b.l->val;
            eu = join(a.l, join(b.l, b.r));
            V[p1] = eu;
        }
        int p = Sume.cauta(n / 2);
        if(Sume.query(p) == n / 2) { /// nu trebuie facut nimic
            continue;
        }
        update(V[p], -1);
        pns nou = split(V[p], n / 2 - Sume.query(p - 1));
        update(nou.l, 1);
        auto sir = Sparge(nou.r);
        for(auto it : sir)
            update(it, 1);
    }

    for(auto it : Re)
        cout << it + 1 << "\n";

    for(auto it : ToDel)
        delete it;
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 530 ms 18508 KB Output is correct
2 Correct 286 ms 17368 KB Output is correct
3 Correct 335 ms 16892 KB Output is correct
4 Correct 783 ms 16704 KB Output is correct
5 Correct 726 ms 19028 KB Output is correct
6 Correct 763 ms 19448 KB Output is correct
7 Correct 701 ms 20052 KB Output is correct
8 Correct 666 ms 24440 KB Output is correct
9 Correct 669 ms 24112 KB Output is correct
10 Correct 649 ms 23120 KB Output is correct
11 Correct 679 ms 23640 KB Output is correct
12 Correct 558 ms 21604 KB Output is correct
13 Correct 673 ms 22476 KB Output is correct
14 Correct 615 ms 25136 KB Output is correct
15 Correct 625 ms 23324 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 140 ms 21244 KB Output is correct
18 Correct 430 ms 21040 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 576 ms 38392 KB Output is correct
2 Correct 430 ms 41736 KB Output is correct
3 Correct 485 ms 37216 KB Output is correct
4 Correct 1032 ms 35644 KB Output is correct
5 Correct 981 ms 35232 KB Output is correct
6 Correct 1118 ms 35380 KB Output is correct
7 Correct 1321 ms 38140 KB Output is correct
8 Correct 1080 ms 49892 KB Output is correct
9 Correct 888 ms 46788 KB Output is correct
10 Correct 1114 ms 48040 KB Output is correct
11 Correct 942 ms 43960 KB Output is correct
12 Correct 978 ms 44072 KB Output is correct
13 Correct 1103 ms 47820 KB Output is correct
14 Correct 1043 ms 44320 KB Output is correct
15 Correct 1162 ms 49416 KB Output is correct
16 Correct 96 ms 20876 KB Output is correct
17 Correct 248 ms 49284 KB Output is correct
18 Correct 1047 ms 41392 KB Output is correct
19 Correct 122 ms 26028 KB Output is correct
20 Correct 293 ms 27008 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 166 ms 13248 KB Output is correct
2 Correct 101 ms 13176 KB Output is correct
3 Correct 121 ms 12816 KB Output is correct
4 Correct 208 ms 12284 KB Output is correct
5 Correct 203 ms 12840 KB Output is correct
6 Correct 191 ms 12148 KB Output is correct
7 Correct 204 ms 12936 KB Output is correct
8 Correct 183 ms 13764 KB Output is correct
9 Correct 178 ms 14280 KB Output is correct
10 Correct 186 ms 13416 KB Output is correct
11 Correct 166 ms 14020 KB Output is correct
12 Correct 168 ms 13368 KB Output is correct
13 Correct 181 ms 13432 KB Output is correct
14 Correct 179 ms 14100 KB Output is correct
15 Correct 190 ms 13588 KB Output is correct
16 Correct 46 ms 10808 KB Output is correct
17 Correct 64 ms 14604 KB Output is correct
18 Correct 119 ms 13352 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 530 ms 18508 KB Output is correct
2 Correct 286 ms 17368 KB Output is correct
3 Correct 335 ms 16892 KB Output is correct
4 Correct 783 ms 16704 KB Output is correct
5 Correct 726 ms 19028 KB Output is correct
6 Correct 763 ms 19448 KB Output is correct
7 Correct 701 ms 20052 KB Output is correct
8 Correct 666 ms 24440 KB Output is correct
9 Correct 669 ms 24112 KB Output is correct
10 Correct 649 ms 23120 KB Output is correct
11 Correct 679 ms 23640 KB Output is correct
12 Correct 558 ms 21604 KB Output is correct
13 Correct 673 ms 22476 KB Output is correct
14 Correct 615 ms 25136 KB Output is correct
15 Correct 625 ms 23324 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 140 ms 21244 KB Output is correct
18 Correct 430 ms 21040 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 576 ms 38392 KB Output is correct
22 Correct 430 ms 41736 KB Output is correct
23 Correct 485 ms 37216 KB Output is correct
24 Correct 1032 ms 35644 KB Output is correct
25 Correct 981 ms 35232 KB Output is correct
26 Correct 1118 ms 35380 KB Output is correct
27 Correct 1321 ms 38140 KB Output is correct
28 Correct 1080 ms 49892 KB Output is correct
29 Correct 888 ms 46788 KB Output is correct
30 Correct 1114 ms 48040 KB Output is correct
31 Correct 942 ms 43960 KB Output is correct
32 Correct 978 ms 44072 KB Output is correct
33 Correct 1103 ms 47820 KB Output is correct
34 Correct 1043 ms 44320 KB Output is correct
35 Correct 1162 ms 49416 KB Output is correct
36 Correct 96 ms 20876 KB Output is correct
37 Correct 248 ms 49284 KB Output is correct
38 Correct 1047 ms 41392 KB Output is correct
39 Correct 122 ms 26028 KB Output is correct
40 Correct 293 ms 27008 KB Output is correct
41 Correct 166 ms 13248 KB Output is correct
42 Correct 101 ms 13176 KB Output is correct
43 Correct 121 ms 12816 KB Output is correct
44 Correct 208 ms 12284 KB Output is correct
45 Correct 203 ms 12840 KB Output is correct
46 Correct 191 ms 12148 KB Output is correct
47 Correct 204 ms 12936 KB Output is correct
48 Correct 183 ms 13764 KB Output is correct
49 Correct 178 ms 14280 KB Output is correct
50 Correct 186 ms 13416 KB Output is correct
51 Correct 166 ms 14020 KB Output is correct
52 Correct 168 ms 13368 KB Output is correct
53 Correct 181 ms 13432 KB Output is correct
54 Correct 179 ms 14100 KB Output is correct
55 Correct 190 ms 13588 KB Output is correct
56 Correct 46 ms 10808 KB Output is correct
57 Correct 64 ms 14604 KB Output is correct
58 Correct 119 ms 13352 KB Output is correct
59 Correct 0 ms 344 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 1347 ms 59152 KB Output is correct
62 Correct 691 ms 58384 KB Output is correct
63 Correct 871 ms 56088 KB Output is correct
64 Correct 1757 ms 55268 KB Output is correct
65 Correct 1925 ms 57388 KB Output is correct
66 Correct 1758 ms 54968 KB Output is correct
67 Correct 1935 ms 55260 KB Output is correct
68 Correct 1706 ms 52760 KB Output is correct
69 Correct 1555 ms 55592 KB Output is correct
70 Correct 1561 ms 51336 KB Output is correct
71 Correct 1597 ms 53156 KB Output is correct
72 Correct 1584 ms 51508 KB Output is correct
73 Correct 1516 ms 51992 KB Output is correct
74 Correct 1639 ms 54464 KB Output is correct
75 Correct 1569 ms 53184 KB Output is correct
76 Correct 92 ms 20964 KB Output is correct
77 Correct 271 ms 49588 KB Output is correct
78 Correct 920 ms 49528 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 0 ms 348 KB Output is correct