oj.uz

Submission #894141

# Submission time Handle Problem Language Result Execution time Memory
894141 2023-12-28T01:53:10 Z vovik Cats or Dogs (JOI18_catdog) C++17
100 / 100
 102 ms 25684 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 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:45:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |     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:57:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |     for (int i = 0; i < A.size(); ++i) g[A[i]].push_back(B[i]), g[B[i]].push_back(A[i]);
      |                     ~~^~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8028 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 3 ms 8028 KB Output is correct
5 Correct 3 ms 8028 KB Output is correct
6 Correct 3 ms 8028 KB Output is correct
7 Correct 2 ms 8024 KB Output is correct
8 Correct 3 ms 8028 KB Output is correct
9 Correct 2 ms 8028 KB Output is correct
10 Correct 2 ms 8028 KB Output is correct
11 Correct 3 ms 8028 KB Output is correct
12 Correct 2 ms 8224 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 2 ms 8028 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8028 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 3 ms 8028 KB Output is correct
5 Correct 3 ms 8028 KB Output is correct
6 Correct 3 ms 8028 KB Output is correct
7 Correct 2 ms 8024 KB Output is correct
8 Correct 3 ms 8028 KB Output is correct
9 Correct 2 ms 8028 KB Output is correct
10 Correct 2 ms 8028 KB Output is correct
11 Correct 3 ms 8028 KB Output is correct
12 Correct 2 ms 8224 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 2 ms 8028 KB Output is correct
17 Correct 2 ms 8284 KB Output is correct
18 Correct 2 ms 8284 KB Output is correct
19 Correct 2 ms 8252 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 2 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 3 ms 8280 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 8280 KB Output is correct
30 Correct 2 ms 8284 KB Output is correct
31 Correct 2 ms 8284 KB Output is correct
32 Correct 2 ms 8284 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8028 KB Output is correct
3 Correct 2 ms 8028 KB Output is correct
4 Correct 3 ms 8028 KB Output is correct
5 Correct 3 ms 8028 KB Output is correct
6 Correct 3 ms 8028 KB Output is correct
7 Correct 2 ms 8024 KB Output is correct
8 Correct 3 ms 8028 KB Output is correct
9 Correct 2 ms 8028 KB Output is correct
10 Correct 2 ms 8028 KB Output is correct
11 Correct 3 ms 8028 KB Output is correct
12 Correct 2 ms 8224 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 2 ms 8028 KB Output is correct
17 Correct 2 ms 8284 KB Output is correct
18 Correct 2 ms 8284 KB Output is correct
19 Correct 2 ms 8252 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 2 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 3 ms 8280 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 8280 KB Output is correct
30 Correct 2 ms 8284 KB Output is correct
31 Correct 2 ms 8284 KB Output is correct
32 Correct 2 ms 8284 KB Output is correct
33 Correct 49 ms 13684 KB Output is correct
34 Correct 41 ms 14300 KB Output is correct
35 Correct 44 ms 12360 KB Output is correct
36 Correct 79 ms 17388 KB Output is correct
37 Correct 15 ms 10844 KB Output is correct
38 Correct 102 ms 18340 KB Output is correct
39 Correct 87 ms 18360 KB Output is correct
40 Correct 79 ms 18316 KB Output is correct
41 Correct 92 ms 18336 KB Output is correct
42 Correct 79 ms 18240 KB Output is correct
43 Correct 84 ms 18168 KB Output is correct
44 Correct 77 ms 18244 KB Output is correct
45 Correct 91 ms 18260 KB Output is correct
46 Correct 79 ms 18260 KB Output is correct
47 Correct 86 ms 18328 KB Output is correct
48 Correct 55 ms 15712 KB Output is correct
49 Correct 46 ms 17620 KB Output is correct
50 Correct 15 ms 10216 KB Output is correct
51 Correct 20 ms 11968 KB Output is correct
52 Correct 10 ms 10076 KB Output is correct
53 Correct 53 ms 17444 KB Output is correct
54 Correct 34 ms 12380 KB Output is correct
55 Correct 66 ms 15436 KB Output is correct
56 Correct 40 ms 12948 KB Output is correct
57 Correct 61 ms 16976 KB Output is correct
58 Correct 15 ms 12248 KB Output is correct
59 Correct 19 ms 11612 KB Output is correct
60 Correct 44 ms 16588 KB Output is correct
61 Correct 47 ms 16956 KB Output is correct
62 Correct 33 ms 15312 KB Output is correct
63 Correct 23 ms 15404 KB Output is correct
64 Correct 26 ms 17536 KB Output is correct
65 Correct 37 ms 23632 KB Output is correct
66 Correct 23 ms 11864 KB Output is correct
67 Correct 30 ms 18512 KB Output is correct
68 Correct 53 ms 22352 KB Output is correct
69 Correct 12 ms 9564 KB Output is correct
70 Correct 5 ms 8280 KB Output is correct
71 Correct 29 ms 15496 KB Output is correct
72 Correct 42 ms 21596 KB Output is correct
73 Correct 73 ms 25684 KB Output is correct
74 Correct 69 ms 21840 KB Output is correct
75 Correct 61 ms 25428 KB Output is correct
76 Correct 62 ms 25176 KB Output is correct
77 Correct 82 ms 22120 KB Output is correct