Submission #991467

# Submission time Handle Problem Language Result Execution time Memory
991467 2024-06-02T09:39:13 Z sleepntsheep September (APIO24_september) C++17
100 / 100
810 ms 43492 KB
#pragma GCC optimize("O2,unroll-loops")
#include "september.h"

#include <string>
#include <cstdio>
#include <array>
#include <vector>
#include <algorithm>

struct max_segtree { std::vector<int> st; int n; max_segtree(int n) : st(n * 2), n(n) {} void pul(int i) { st[i] = std::max(st[i << 1], st[i << 1 | 1]); } int query(int l, int r) { int z = 0; for (l += n, r += n + 1; l < r; l /= 2, r /= 2) { if (l & 1) z = std::max(z, st[l++]); if (r & 1) z = std::max(st[--r], z); } return z; } void assign(int p, int k) { for (st[p += n] = k; p /= 2; ) pul(p); } };

const int NN = 100000;
const int MM = 5;

std::vector<int> g[NN];

int M, tin[NN], tout[NN], timer, pos[MM][NN];

using Lena = std::array<int, 5>;

void add_(Lena &a, const Lena &b) {
    int i;
    for (i = 0; i < M; ++i)
        a[i] = std::max(a[i], b[i]);
}

Lena add(Lena a, const Lena &b) {
    add_(a, b);
    return a;
}

void dfs(int u) {
    tin[u] = timer++;
    for (auto v : g[u])
        dfs(v);
    tout[u] = timer - 1;
}

struct lena_segtree {
    std::vector<Lena> st;
    int n;

    lena_segtree(int n) : st(n * 2), n(n) {}

    void pul(int i) { st[i] = add(st[i << 1], st[i << 1 | 1]); }

    Lena query(int l, int r) { Lena z {}; for (l += n, r += n + 1; l < r; l /= 2, r /= 2) { if (l & 1) add_(z, st[l++]); if (r & 1) add_(z, st[--r]); } return z; }

    void update(int p, int q, int k) { p += n; st[p][q] = std::max(st[p][q], k); for (; p /= 2; ) pul(p); }
    void update2(int p, const Lena &x) { add_(st[p += n], x); for (; p /= 2; ) pul(p); }
};

int solve(int N, int M, std::vector<int> F, std::vector<std::vector<int>> S) {
    int i, j;

    ::M = M;

    for (i = 0; i < N; ++i)
        g[i].clear();
    timer = 0;

    if (M == 1) { auto S0 = S[0]; std::vector<int> pos(N); for (i = 0; i < N - 1; ++i) pos[S0[i]] = i; for (i = 1; i < N; ++i) g[F[i]].push_back(i); dfs(0); max_segtree ta(N), tb(N); for (i = 1; i < N; ++i) ta.assign(tin[i], pos[i]); for (i = N - 2; i >= 0; --i) { int u, last; u = S0[i]; last = ta.query(tin[u], tout[u]); last = std::max(last, tb.query(i, last)); tb.assign(i, last); } int K = 0; for (i = 0; i < N - 1;) { int until; until = tb.query(i, i); i = until + 1; ++K; } return K; }

    for (i = 0; i < M; ++i)
        for (j = 0; j < N - 1; ++j)
            pos[i][S[i][j]] = j;

    for (i = 1; i < N; ++i)
        g[F[i]].push_back(i);

    dfs(0);

    std::vector<lena_segtree> tb;
    std::vector<Lena> tc(N);
    lena_segtree ta(N);

    auto Put = [&](int u, Lena x) {
        add_(x, tc[u]);
        for (int j = 0; j < M; ++j)
            add_(x, tb[j].query(0, x[j]));
        for (int j = 0; j < M; ++j)
            tb[j].update2(pos[j][u], x);
        ta.update2(tin[u], x);
        add_(tc[u], x);
    };

    for (i = 0; i < M; ++i)
        tb.emplace_back(N);

    for (i = 0; i < M; ++i)
        for (j = 1; j < N; ++j)
            ta.update(tin[j], i, pos[i][j]);

    for (i = 0; i < 1; ++i) {
        for (j = 0; j < N - 1; ++j) {
            int u = S[i][j];
            Put(u, ta.query(tin[u], tout[u]));
        }
    }

    for (i = 1; i < N; ++i) Put(i, ta.query(tin[i], tout[i]));

    Lena at {};
    int K = 0;

    while (1) {
        for (j = 0; j < M; ++j)
            if (at[j] >= N - 1)
                return K;

        for (j = 0; j < M; ++j)
            add_(at, tc[S[j][at[j]]]);

        for (j = 0; j < M; ++j)
            ++at[j];

        ++K;
    }
}

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 1 ms 5208 KB Output is correct
3 Correct 1 ms 5212 KB Output is correct
4 Correct 1 ms 5212 KB Output is correct
5 Correct 1 ms 5212 KB Output is correct
6 Correct 1 ms 5212 KB Output is correct
7 Correct 1 ms 5212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 1 ms 5208 KB Output is correct
3 Correct 1 ms 5212 KB Output is correct
4 Correct 1 ms 5212 KB Output is correct
5 Correct 1 ms 5212 KB Output is correct
6 Correct 1 ms 5212 KB Output is correct
7 Correct 1 ms 5212 KB Output is correct
8 Correct 1 ms 5208 KB Output is correct
9 Correct 1 ms 5212 KB Output is correct
10 Correct 1 ms 5212 KB Output is correct
11 Correct 1 ms 5212 KB Output is correct
12 Correct 1 ms 5224 KB Output is correct
13 Correct 2 ms 5208 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5468 KB Output is correct
2 Correct 2 ms 5468 KB Output is correct
3 Correct 1 ms 5468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 1 ms 5208 KB Output is correct
3 Correct 1 ms 5212 KB Output is correct
4 Correct 1 ms 5212 KB Output is correct
5 Correct 1 ms 5212 KB Output is correct
6 Correct 1 ms 5212 KB Output is correct
7 Correct 1 ms 5212 KB Output is correct
8 Correct 2 ms 5468 KB Output is correct
9 Correct 2 ms 5468 KB Output is correct
10 Correct 1 ms 5468 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 3 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5396 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5468 KB Output is correct
2 Correct 2 ms 5468 KB Output is correct
3 Correct 1 ms 5468 KB Output is correct
4 Correct 6 ms 5724 KB Output is correct
5 Correct 6 ms 5724 KB Output is correct
6 Correct 6 ms 5724 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 1 ms 5208 KB Output is correct
3 Correct 1 ms 5212 KB Output is correct
4 Correct 1 ms 5212 KB Output is correct
5 Correct 1 ms 5212 KB Output is correct
6 Correct 1 ms 5212 KB Output is correct
7 Correct 1 ms 5212 KB Output is correct
8 Correct 1 ms 5208 KB Output is correct
9 Correct 1 ms 5212 KB Output is correct
10 Correct 1 ms 5212 KB Output is correct
11 Correct 1 ms 5212 KB Output is correct
12 Correct 1 ms 5224 KB Output is correct
13 Correct 2 ms 5208 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5468 KB Output is correct
16 Correct 2 ms 5468 KB Output is correct
17 Correct 1 ms 5468 KB Output is correct
18 Correct 2 ms 5212 KB Output is correct
19 Correct 2 ms 5212 KB Output is correct
20 Correct 2 ms 5212 KB Output is correct
21 Correct 3 ms 5212 KB Output is correct
22 Correct 2 ms 5212 KB Output is correct
23 Correct 2 ms 5396 KB Output is correct
24 Correct 2 ms 5212 KB Output is correct
25 Correct 6 ms 5724 KB Output is correct
26 Correct 6 ms 5724 KB Output is correct
27 Correct 6 ms 5724 KB Output is correct
28 Correct 6 ms 5716 KB Output is correct
29 Correct 6 ms 5468 KB Output is correct
30 Correct 7 ms 5540 KB Output is correct
31 Correct 6 ms 5720 KB Output is correct
32 Correct 7 ms 5464 KB Output is correct
33 Correct 8 ms 5720 KB Output is correct
34 Correct 6 ms 5724 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5468 KB Output is correct
2 Correct 2 ms 5468 KB Output is correct
3 Correct 1 ms 5468 KB Output is correct
4 Correct 187 ms 17076 KB Output is correct
5 Correct 191 ms 17096 KB Output is correct
6 Correct 185 ms 17092 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 1 ms 5208 KB Output is correct
3 Correct 1 ms 5212 KB Output is correct
4 Correct 1 ms 5212 KB Output is correct
5 Correct 1 ms 5212 KB Output is correct
6 Correct 1 ms 5212 KB Output is correct
7 Correct 1 ms 5212 KB Output is correct
8 Correct 2 ms 5468 KB Output is correct
9 Correct 2 ms 5468 KB Output is correct
10 Correct 1 ms 5468 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 3 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5396 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 187 ms 17076 KB Output is correct
19 Correct 191 ms 17096 KB Output is correct
20 Correct 185 ms 17092 KB Output is correct
21 Correct 192 ms 11960 KB Output is correct
22 Correct 182 ms 11956 KB Output is correct
23 Correct 192 ms 12784 KB Output is correct
24 Correct 186 ms 12880 KB Output is correct
25 Correct 194 ms 12116 KB Output is correct
26 Correct 208 ms 11948 KB Output is correct
27 Correct 186 ms 12868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5468 KB Output is correct
2 Correct 2 ms 5468 KB Output is correct
3 Correct 1 ms 5468 KB Output is correct
4 Correct 6 ms 5724 KB Output is correct
5 Correct 6 ms 5724 KB Output is correct
6 Correct 6 ms 5724 KB Output is correct
7 Correct 187 ms 17076 KB Output is correct
8 Correct 191 ms 17096 KB Output is correct
9 Correct 185 ms 17092 KB Output is correct
10 Correct 738 ms 43492 KB Output is correct
11 Correct 730 ms 43436 KB Output is correct
12 Correct 727 ms 43376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 1 ms 5208 KB Output is correct
3 Correct 1 ms 5212 KB Output is correct
4 Correct 1 ms 5212 KB Output is correct
5 Correct 1 ms 5212 KB Output is correct
6 Correct 1 ms 5212 KB Output is correct
7 Correct 1 ms 5212 KB Output is correct
8 Correct 1 ms 5208 KB Output is correct
9 Correct 1 ms 5212 KB Output is correct
10 Correct 1 ms 5212 KB Output is correct
11 Correct 1 ms 5212 KB Output is correct
12 Correct 1 ms 5224 KB Output is correct
13 Correct 2 ms 5208 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5468 KB Output is correct
16 Correct 2 ms 5468 KB Output is correct
17 Correct 1 ms 5468 KB Output is correct
18 Correct 2 ms 5212 KB Output is correct
19 Correct 2 ms 5212 KB Output is correct
20 Correct 2 ms 5212 KB Output is correct
21 Correct 3 ms 5212 KB Output is correct
22 Correct 2 ms 5212 KB Output is correct
23 Correct 2 ms 5396 KB Output is correct
24 Correct 2 ms 5212 KB Output is correct
25 Correct 6 ms 5724 KB Output is correct
26 Correct 6 ms 5724 KB Output is correct
27 Correct 6 ms 5724 KB Output is correct
28 Correct 6 ms 5716 KB Output is correct
29 Correct 6 ms 5468 KB Output is correct
30 Correct 7 ms 5540 KB Output is correct
31 Correct 6 ms 5720 KB Output is correct
32 Correct 7 ms 5464 KB Output is correct
33 Correct 8 ms 5720 KB Output is correct
34 Correct 6 ms 5724 KB Output is correct
35 Correct 187 ms 17076 KB Output is correct
36 Correct 191 ms 17096 KB Output is correct
37 Correct 185 ms 17092 KB Output is correct
38 Correct 192 ms 11960 KB Output is correct
39 Correct 182 ms 11956 KB Output is correct
40 Correct 192 ms 12784 KB Output is correct
41 Correct 186 ms 12880 KB Output is correct
42 Correct 194 ms 12116 KB Output is correct
43 Correct 208 ms 11948 KB Output is correct
44 Correct 186 ms 12868 KB Output is correct
45 Correct 738 ms 43492 KB Output is correct
46 Correct 730 ms 43436 KB Output is correct
47 Correct 727 ms 43376 KB Output is correct
48 Correct 774 ms 37296 KB Output is correct
49 Correct 766 ms 37288 KB Output is correct
50 Correct 752 ms 38188 KB Output is correct
51 Correct 745 ms 38060 KB Output is correct
52 Correct 799 ms 37292 KB Output is correct
53 Correct 810 ms 37316 KB Output is correct
54 Correct 808 ms 38316 KB Output is correct