Submission #991455

# Submission time Handle Problem Language Result Execution time Memory
991455 2024-06-02T09:31:53 Z sleepntsheep September (APIO24_september) C++17
100 / 100
865 ms 43540 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]);

    int what = 2;
    if (N >= 2001)
        what = 1;
    for (i = 0; i < what; ++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 2 ms 5212 KB Output is correct
3 Correct 1 ms 5208 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 2 ms 5208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 1 ms 5208 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 2 ms 5208 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 5296 KB Output is correct
11 Correct 1 ms 5212 KB Output is correct
12 Correct 1 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 1 ms 5208 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 2 ms 5468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 1 ms 5208 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 2 ms 5208 KB Output is correct
8 Correct 2 ms 5468 KB Output is correct
9 Correct 2 ms 5468 KB Output is correct
10 Correct 2 ms 5468 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5440 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5468 KB Output is correct
15 Correct 2 ms 5208 KB Output is correct
16 Correct 2 ms 5212 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 2 ms 5468 KB Output is correct
4 Correct 8 ms 5724 KB Output is correct
5 Correct 10 ms 5724 KB Output is correct
6 Correct 9 ms 5680 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 1 ms 5208 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 2 ms 5208 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 5296 KB Output is correct
11 Correct 1 ms 5212 KB Output is correct
12 Correct 1 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 1 ms 5208 KB Output is correct
15 Correct 2 ms 5468 KB Output is correct
16 Correct 2 ms 5468 KB Output is correct
17 Correct 2 ms 5468 KB Output is correct
18 Correct 2 ms 5212 KB Output is correct
19 Correct 2 ms 5440 KB Output is correct
20 Correct 2 ms 5212 KB Output is correct
21 Correct 2 ms 5468 KB Output is correct
22 Correct 2 ms 5208 KB Output is correct
23 Correct 2 ms 5212 KB Output is correct
24 Correct 2 ms 5212 KB Output is correct
25 Correct 8 ms 5724 KB Output is correct
26 Correct 10 ms 5724 KB Output is correct
27 Correct 9 ms 5680 KB Output is correct
28 Correct 8 ms 5464 KB Output is correct
29 Correct 8 ms 5712 KB Output is correct
30 Correct 10 ms 5600 KB Output is correct
31 Correct 8 ms 5724 KB Output is correct
32 Correct 8 ms 5468 KB Output is correct
33 Correct 9 ms 5480 KB Output is correct
34 Correct 8 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 2 ms 5468 KB Output is correct
4 Correct 188 ms 17100 KB Output is correct
5 Correct 192 ms 17136 KB Output is correct
6 Correct 190 ms 17080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 1 ms 5208 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 2 ms 5208 KB Output is correct
8 Correct 2 ms 5468 KB Output is correct
9 Correct 2 ms 5468 KB Output is correct
10 Correct 2 ms 5468 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5440 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5468 KB Output is correct
15 Correct 2 ms 5208 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 188 ms 17100 KB Output is correct
19 Correct 192 ms 17136 KB Output is correct
20 Correct 190 ms 17080 KB Output is correct
21 Correct 206 ms 11904 KB Output is correct
22 Correct 196 ms 12044 KB Output is correct
23 Correct 185 ms 12864 KB Output is correct
24 Correct 179 ms 12880 KB Output is correct
25 Correct 183 ms 11948 KB Output is correct
26 Correct 183 ms 11952 KB Output is correct
27 Correct 180 ms 12748 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 2 ms 5468 KB Output is correct
4 Correct 8 ms 5724 KB Output is correct
5 Correct 10 ms 5724 KB Output is correct
6 Correct 9 ms 5680 KB Output is correct
7 Correct 188 ms 17100 KB Output is correct
8 Correct 192 ms 17136 KB Output is correct
9 Correct 190 ms 17080 KB Output is correct
10 Correct 789 ms 43528 KB Output is correct
11 Correct 816 ms 43540 KB Output is correct
12 Correct 797 ms 43520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 1 ms 5208 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 2 ms 5208 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 5296 KB Output is correct
11 Correct 1 ms 5212 KB Output is correct
12 Correct 1 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 1 ms 5208 KB Output is correct
15 Correct 2 ms 5468 KB Output is correct
16 Correct 2 ms 5468 KB Output is correct
17 Correct 2 ms 5468 KB Output is correct
18 Correct 2 ms 5212 KB Output is correct
19 Correct 2 ms 5440 KB Output is correct
20 Correct 2 ms 5212 KB Output is correct
21 Correct 2 ms 5468 KB Output is correct
22 Correct 2 ms 5208 KB Output is correct
23 Correct 2 ms 5212 KB Output is correct
24 Correct 2 ms 5212 KB Output is correct
25 Correct 8 ms 5724 KB Output is correct
26 Correct 10 ms 5724 KB Output is correct
27 Correct 9 ms 5680 KB Output is correct
28 Correct 8 ms 5464 KB Output is correct
29 Correct 8 ms 5712 KB Output is correct
30 Correct 10 ms 5600 KB Output is correct
31 Correct 8 ms 5724 KB Output is correct
32 Correct 8 ms 5468 KB Output is correct
33 Correct 9 ms 5480 KB Output is correct
34 Correct 8 ms 5724 KB Output is correct
35 Correct 188 ms 17100 KB Output is correct
36 Correct 192 ms 17136 KB Output is correct
37 Correct 190 ms 17080 KB Output is correct
38 Correct 206 ms 11904 KB Output is correct
39 Correct 196 ms 12044 KB Output is correct
40 Correct 185 ms 12864 KB Output is correct
41 Correct 179 ms 12880 KB Output is correct
42 Correct 183 ms 11948 KB Output is correct
43 Correct 183 ms 11952 KB Output is correct
44 Correct 180 ms 12748 KB Output is correct
45 Correct 789 ms 43528 KB Output is correct
46 Correct 816 ms 43540 KB Output is correct
47 Correct 797 ms 43520 KB Output is correct
48 Correct 825 ms 37292 KB Output is correct
49 Correct 865 ms 37292 KB Output is correct
50 Correct 795 ms 38252 KB Output is correct
51 Correct 794 ms 38256 KB Output is correct
52 Correct 797 ms 37284 KB Output is correct
53 Correct 792 ms 37316 KB Output is correct
54 Correct 790 ms 38140 KB Output is correct