Submission #894138

# Submission time Handle Problem Language Result Execution time Memory
894138 2023-12-28T01:52:59 Z vovik Cats or Dogs (JOI18_catdog) C++17
100 / 100
105 ms 25428 KB
#pragma GCC optimize(3)
#include <bits/stdc++.h>
char mem[(int)1e8];

size_t cur = 0;

void *operator new(size_t n) {return mem + (cur += n) - n;}
void operator delete(void *) noexcept {}
void operator delete(void *, size_t) noexcept {}

void initialize(int N, std::vector<int> A, std::vector<int> B);

int cat(int v), dog(int v), neighbor(int v);

struct segTree {
    int n;
    using node = std::array<std::array<int, 2>, 2>;
    std::vector<node> t;

    node merge(node a, node b) {
        node c;
        for (int i = 0; i < 2; ++i) for (int j = 0; j < 2; ++j) c[i][j] = std::min({a[i][0] + b[0][j], a[i][1] + b[1][j]});
        return c;
    }

    segTree() = default;

    segTree(int n) {
        while (__builtin_popcount(n) != 1) ++n;
        this->n = n, t = std::vector<node>(n * 2);
        for (auto&f: t) f[0][1] = f[1][0] = 1;
    }

    void modify(int i, int x, int y) {
        i += n, t[i][0][0] += x, t[i][0][1] += x, t[i][1][0] += y, t[i][1][1] += y;
        while (i /= 2) t[i] = merge(t[i * 2], t[i * 2 + 1]);
    }

    std::pair<int, int> get() {
        int x = std::min(t[1][0][0], t[1][0][1]), y = std::min(t[1][1][0], t[1][1][1]);
        return {std::min(x, y + 1), std::min(x + 1, y)};
    }
};

segTree ok[100005];

int pos[100005], p[100005], f[100005], sz[100005], len[100005], tp[100005];

std::vector<int> g[100005];

void cfs(int v = 1, int p = -1) {
    for (int i = 0; i < g[v].size(); ++i) if (g[v][i] == p) g[v].erase(g[v].begin() + i);
    sz[v] = 1;
    for (auto u: g[v]) if (u != p) cfs(u, v), sz[v] += sz[u], ::p[u] = v;
    std::sort(g[v].begin(), g[v].end(), [](const int&v, const int&u) { return sz[v] > sz[u]; });
}

void dfs(int v = 1, int s = 1) {
    f[v] = s, pos[v] = len[s]++;
    for (auto u: g[v]) dfs(u, u == g[v].front() ? s : u);
}

void initialize(int N, std::vector<int> A, std::vector<int> B) {
    for (int i = 0; i < A.size(); ++i) g[A[i]].push_back(B[i]), g[B[i]].push_back(A[i]);
    cfs(), dfs();
    for (int v = 1; v <= N; ++v) if (!pos[v]) ok[v] = len[v];
}

void modify(int v, int x, int y) {
    while (v) {
        auto [w0, w1] = ok[f[v]].get();
        ok[f[v]].modify(pos[v], x, y);
        auto [n0, n1] = ok[f[v]].get();
        x = n0 - w0, y = n1 - w1, v = p[f[v]];
    }
}

int query() {
    auto [a, b] = ok[1].get();
    return std::min(a, b);
}

int cat(int v) { return tp[v] = 1, modify(v, 1e9, 0), query(); }
int dog(int v) { return tp[v] = 2, modify(v, 0, 1e9), query(); }
int neighbor(int v) { return modify(v, -1e9 * (tp[v] == 1), -1e9 * (tp[v] == 2)), tp[v] = 0, query(); }

Compilation message

catdog.cpp: In function 'void cfs(int, int)':
catdog.cpp:52:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   52 |     for (int i = 0; i < g[v].size(); ++i) if (g[v][i] == p) g[v].erase(g[v].begin() + i);
      |                     ~~^~~~~~~~~~~~~
catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:64:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |     for (int i = 0; i < A.size(); ++i) g[A[i]].push_back(B[i]), g[B[i]].push_back(A[i]);
      |                     ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8808 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8792 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 2 ms 8792 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 2 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 3 ms 8796 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8808 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8792 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 2 ms 8792 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 2 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 3 ms 8796 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 2 ms 8796 KB Output is correct
21 Correct 2 ms 8796 KB Output is correct
22 Correct 3 ms 8796 KB Output is correct
23 Correct 2 ms 8796 KB Output is correct
24 Correct 3 ms 8796 KB Output is correct
25 Correct 2 ms 8796 KB Output is correct
26 Correct 2 ms 8796 KB Output is correct
27 Correct 2 ms 8800 KB Output is correct
28 Correct 2 ms 8628 KB Output is correct
29 Correct 2 ms 8804 KB Output is correct
30 Correct 3 ms 8792 KB Output is correct
31 Correct 2 ms 8796 KB Output is correct
32 Correct 2 ms 8796 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8808 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8792 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 2 ms 8792 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 2 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 2 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 3 ms 8796 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 2 ms 8796 KB Output is correct
21 Correct 2 ms 8796 KB Output is correct
22 Correct 3 ms 8796 KB Output is correct
23 Correct 2 ms 8796 KB Output is correct
24 Correct 3 ms 8796 KB Output is correct
25 Correct 2 ms 8796 KB Output is correct
26 Correct 2 ms 8796 KB Output is correct
27 Correct 2 ms 8800 KB Output is correct
28 Correct 2 ms 8628 KB Output is correct
29 Correct 2 ms 8804 KB Output is correct
30 Correct 3 ms 8792 KB Output is correct
31 Correct 2 ms 8796 KB Output is correct
32 Correct 2 ms 8796 KB Output is correct
33 Correct 50 ms 13160 KB Output is correct
34 Correct 31 ms 12892 KB Output is correct
35 Correct 46 ms 13204 KB Output is correct
36 Correct 79 ms 17468 KB Output is correct
37 Correct 11 ms 10892 KB Output is correct
38 Correct 93 ms 17540 KB Output is correct
39 Correct 99 ms 17520 KB Output is correct
40 Correct 79 ms 17504 KB Output is correct
41 Correct 94 ms 17500 KB Output is correct
42 Correct 85 ms 17556 KB Output is correct
43 Correct 105 ms 17528 KB Output is correct
44 Correct 81 ms 17504 KB Output is correct
45 Correct 96 ms 17532 KB Output is correct
46 Correct 84 ms 17540 KB Output is correct
47 Correct 97 ms 17464 KB Output is correct
48 Correct 56 ms 15224 KB Output is correct
49 Correct 35 ms 15208 KB Output is correct
50 Correct 13 ms 10844 KB Output is correct
51 Correct 24 ms 12920 KB Output is correct
52 Correct 14 ms 10840 KB Output is correct
53 Correct 46 ms 17008 KB Output is correct
54 Correct 26 ms 12892 KB Output is correct
55 Correct 63 ms 15596 KB Output is correct
56 Correct 50 ms 13168 KB Output is correct
57 Correct 88 ms 17000 KB Output is correct
58 Correct 16 ms 12892 KB Output is correct
59 Correct 21 ms 10844 KB Output is correct
60 Correct 34 ms 15020 KB Output is correct
61 Correct 40 ms 14960 KB Output is correct
62 Correct 26 ms 14976 KB Output is correct
63 Correct 19 ms 15452 KB Output is correct
64 Correct 29 ms 16732 KB Output is correct
65 Correct 50 ms 22400 KB Output is correct
66 Correct 25 ms 11648 KB Output is correct
67 Correct 33 ms 18772 KB Output is correct
68 Correct 45 ms 22100 KB Output is correct
69 Correct 11 ms 11276 KB Output is correct
70 Correct 4 ms 8796 KB Output is correct
71 Correct 23 ms 15708 KB Output is correct
72 Correct 33 ms 22464 KB Output is correct
73 Correct 60 ms 24748 KB Output is correct
74 Correct 59 ms 21296 KB Output is correct
75 Correct 57 ms 24692 KB Output is correct
76 Correct 53 ms 25428 KB Output is correct
77 Correct 60 ms 21616 KB Output is correct