Submission #894168

# Submission time Handle Problem Language Result Execution time Memory
894168 2023-12-28T02:14:20 Z vovik Cats or Dogs (JOI18_catdog) C++17
100 / 100
100 ms 25608 KB
#pragma GCC optimize(3)
#include <bits/stdc++.h>

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

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

struct node {
    int a00, a01, a10, a11;
};

struct segTree {
    int n;
    std::vector<node> t;

    node merge(node a, node b) {
        node c;
        return c.a00 = std::min(a.a00 + b.a00, a.a01 + b.a10), c.a01 = std::min(a.a00 + b.a01, a.a01 + b.a11), c.a10 = std::min(a.a10 + b.a00, a.a11 + b.a10), c.a11 = std::min(a.a10 + b.a01, a.a11 + b.a11), 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.a01 = f.a10 = 1;
    }

    void modify(int i, int&x, int&y) {
        i += n, t[i].a00 += x, t[i].a01 += x, t[i].a10 += y, t[i].a11 += 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].a00, t[1].a01), y = std::min(t[1].a10, t[1].a11);
        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::nth_element(g[v].begin(), 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:47:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |     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:59:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   59 |     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 8024 KB Output is correct
2 Correct 2 ms 8024 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 3 ms 8028 KB Output is correct
6 Correct 2 ms 8028 KB Output is correct
7 Correct 2 ms 8028 KB Output is correct
8 Correct 2 ms 8028 KB Output is correct
9 Correct 2 ms 8028 KB Output is correct
10 Correct 3 ms 8028 KB Output is correct
11 Correct 2 ms 8028 KB Output is correct
12 Correct 2 ms 8024 KB Output is correct
13 Correct 2 ms 8028 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8024 KB Output is correct
16 Correct 3 ms 8028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8024 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 3 ms 8028 KB Output is correct
6 Correct 2 ms 8028 KB Output is correct
7 Correct 2 ms 8028 KB Output is correct
8 Correct 2 ms 8028 KB Output is correct
9 Correct 2 ms 8028 KB Output is correct
10 Correct 3 ms 8028 KB Output is correct
11 Correct 2 ms 8028 KB Output is correct
12 Correct 2 ms 8024 KB Output is correct
13 Correct 2 ms 8028 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8024 KB Output is correct
16 Correct 3 ms 8028 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 3 ms 8284 KB Output is correct
20 Correct 2 ms 8284 KB Output is correct
21 Correct 2 ms 8284 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 3 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 3 ms 8284 KB Output is correct
27 Correct 2 ms 8284 KB Output is correct
28 Correct 3 ms 8284 KB Output is correct
29 Correct 3 ms 8284 KB Output is correct
30 Correct 3 ms 8284 KB Output is correct
31 Correct 2 ms 8284 KB Output is correct
32 Correct 2 ms 8252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8024 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 2 ms 8028 KB Output is correct
5 Correct 3 ms 8028 KB Output is correct
6 Correct 2 ms 8028 KB Output is correct
7 Correct 2 ms 8028 KB Output is correct
8 Correct 2 ms 8028 KB Output is correct
9 Correct 2 ms 8028 KB Output is correct
10 Correct 3 ms 8028 KB Output is correct
11 Correct 2 ms 8028 KB Output is correct
12 Correct 2 ms 8024 KB Output is correct
13 Correct 2 ms 8028 KB Output is correct
14 Correct 2 ms 8028 KB Output is correct
15 Correct 2 ms 8024 KB Output is correct
16 Correct 3 ms 8028 KB Output is correct
17 Correct 3 ms 8284 KB Output is correct
18 Correct 3 ms 8284 KB Output is correct
19 Correct 3 ms 8284 KB Output is correct
20 Correct 2 ms 8284 KB Output is correct
21 Correct 2 ms 8284 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 3 ms 8284 KB Output is correct
24 Correct 3 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 3 ms 8284 KB Output is correct
27 Correct 2 ms 8284 KB Output is correct
28 Correct 3 ms 8284 KB Output is correct
29 Correct 3 ms 8284 KB Output is correct
30 Correct 3 ms 8284 KB Output is correct
31 Correct 2 ms 8284 KB Output is correct
32 Correct 2 ms 8252 KB Output is correct
33 Correct 50 ms 13692 KB Output is correct
34 Correct 31 ms 14172 KB Output is correct
35 Correct 44 ms 12268 KB Output is correct
36 Correct 89 ms 17224 KB Output is correct
37 Correct 12 ms 10840 KB Output is correct
38 Correct 85 ms 18240 KB Output is correct
39 Correct 84 ms 18240 KB Output is correct
40 Correct 84 ms 18236 KB Output is correct
41 Correct 92 ms 18260 KB Output is correct
42 Correct 85 ms 18244 KB Output is correct
43 Correct 84 ms 18240 KB Output is correct
44 Correct 100 ms 18244 KB Output is correct
45 Correct 80 ms 18344 KB Output is correct
46 Correct 81 ms 18240 KB Output is correct
47 Correct 81 ms 18164 KB Output is correct
48 Correct 38 ms 15824 KB Output is correct
49 Correct 48 ms 17660 KB Output is correct
50 Correct 15 ms 10328 KB Output is correct
51 Correct 19 ms 11968 KB Output is correct
52 Correct 10 ms 10072 KB Output is correct
53 Correct 54 ms 17500 KB Output is correct
54 Correct 31 ms 12380 KB Output is correct
55 Correct 67 ms 15508 KB Output is correct
56 Correct 41 ms 12792 KB Output is correct
57 Correct 61 ms 16908 KB Output is correct
58 Correct 16 ms 12244 KB Output is correct
59 Correct 19 ms 11608 KB Output is correct
60 Correct 44 ms 16588 KB Output is correct
61 Correct 48 ms 17100 KB Output is correct
62 Correct 33 ms 15332 KB Output is correct
63 Correct 26 ms 15440 KB Output is correct
64 Correct 25 ms 17500 KB Output is correct
65 Correct 38 ms 23644 KB Output is correct
66 Correct 24 ms 11864 KB Output is correct
67 Correct 35 ms 18368 KB Output is correct
68 Correct 57 ms 22356 KB Output is correct
69 Correct 13 ms 9560 KB Output is correct
70 Correct 4 ms 8284 KB Output is correct
71 Correct 27 ms 15412 KB Output is correct
72 Correct 51 ms 21636 KB Output is correct
73 Correct 75 ms 25608 KB Output is correct
74 Correct 74 ms 21844 KB Output is correct
75 Correct 66 ms 25516 KB Output is correct
76 Correct 63 ms 25168 KB Output is correct
77 Correct 70 ms 22168 KB Output is correct